# James A. Yorke

Mathematician, researcher ORCID ID = 0000-0002-9599-0136

## James A. Yorke's AcademicInfluence.com Rankings

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Mathematics

## Why Is James A. Yorke Influential?

(Suggest an Edit or Addition)According to Wikipedia, James A. Yorke is a Distinguished University Research Professor of Mathematics and Physics and former chair of the Mathematics Department at the University of Maryland, College Park. Born in Plainfield, New Jersey, United States, Yorke attended The Pingry School, then located in Hillside, New Jersey. Yorke is now a Distinguished University Research Professor of Mathematics and Physics with the Institute for Physical Science and Technology at the University of Maryland. In June 2013, Dr. Yorke retired as chair of the University of Maryland's Math department. He devotes his university efforts to collaborative research in chaos theory and genomics.

## James A. Yorke's Published Works

### Published Works

- Period Three Implies Chaos (1975) (3329)
- Chaos: An Introduction to Dynamical Systems (1997) (2112)
- A whole-genome assembly of the domestic cow, Bos taurus (2009) (1080)
- Crises, sudden changes in chaotic attractors, and transient chaos (1983) (1054)
- Butterfly genome reveals promiscuous exchange of mimicry adaptations among species (2012) (1041)
- Dimension of chaotic attractors (1982) (945)
- The MaSuRCA genome assembler (2013) (916)
- A local ensemble Kalman filter for atmospheric data assimilation (2002) (837)
- On the existence of invariant measures for piecewise monotonic transformations (1973) (792)
- The Atlantic salmon genome provides insights into rediploidization (2016) (757)
- Chaotic behavior of multidimensional difference equations (1979) (744)
- Using small perturbations to control chaos (1993) (724)
- GAGE: A critical evaluation of genome assemblies and assembly algorithms. (2012) (702)
- Gonorrhea Transmission Dynamics and Control (1984) (668)
- A Deterministic Model for Gonorrhea in a Nonhomogeneous Population (1976) (631)
- CHAOTIC ATTRACTORS IN CRISIS (1982) (577)
- Strange attractors that are not chaotic (1984) (522)
- Fractal basin boundaries (1985) (471)
- Border-collision bifurcations including “period two to period three” for piecewise smooth systems (1992) (464)
- Recurrent outbreaks of measles, chickenpox and mumps. I. Seasonal variation in contact rates. (1973) (454)
- The liapunov dimension of strange attractors (1983) (443)
- Decoding the massive genome of loblolly pine using haploid DNA and novel assembly strategies (2014) (428)
- Multi-Platform Next-Generation Sequencing of the Domestic Turkey (Meleagris gallopavo): Genome Assembly and Analysis (2010) (418)
- Dynamics: Numerical Explorations (1994) (397)
- Dynamics and Control of the Transmission of Gonorrhea (1978) (395)
- Finding zeroes of maps: homotopy methods that are constructive with probability one (1978) (392)
- Chaos, Strange Attractors, and Fractal Basin Boundaries in Nonlinear Dynamics (1987) (391)
- Bifurcations in one-dimensional piecewise smooth maps-theory and applications in switching circuits (2000) (351)
- Reducing storage requirements for biological sequence comparison (2004) (286)
- Hybrid assembly of the large and highly repetitive genome of Aegilops tauschii, a progenitor of bread wheat, with the mega-reads algorithm (2016) (283)
- Final state sensitivity: An obstruction to predictability (1983) (281)
- BORDER-COLLISION BIFURCATIONS FOR PIECEWISE SMOOTH ONE-DIMENSIONAL MAPS (1995) (279)
- Draft genome of the globally widespread and invasive Argentine ant (Linepithema humile) (2011) (276)
- Sequencing and Assembly of the 22-Gb Loblolly Pine Genome (2014) (275)
- Ergodic transformations from an interval into itself (1978) (267)
- Preturbulence: A regime observed in a fluid flow model of Lorenz (1979) (265)
- Edge of chaos in a parallel shear flow. (2006) (258)
- Some equations modelling growth processes and gonorrhea epidemics (1973) (257)
- INTERVAL MAPS, FACTORS OF MAPS, AND CHAOS (1980) (256)
- Border-collision bifurcations in the buck converter (1998) (249)
- Four-dimensional ensemble Kalman filtering (2004) (247)
- Metastable chaos: The transition to sustained chaotic behavior in the Lorenz model (1979) (247)
- Fractal Basin Boundaries, Long-Lived Chaotic Transients, And Unstable-Unstable Pair Bifurcation (1983) (217)
- Turbulence transition and the edge of chaos in pipe flow. (2007) (215)
- Do numerical orbits of chaotic dynamical processes represent true orbits? (1987) (214)
- A Constructive Proof of the Brouwer Fixed-Point Theorem and Computational Results (1976) (213)
- A local ensemble transform Kalman filter data assimilation system for the NCEP global model (2008) (203)
- Estimating correlation dimension from a chaotic time series: when does plateau onset occur? (1993) (195)
- Local low dimensionality of atmospheric dynamics. (2001) (195)
- Unique Features of the Loblolly Pine (Pinus taeda L.) Megagenome Revealed Through Sequence Annotation (2014) (187)
- Ordinary differential equations which yield periodic solutions of differential delay equations (1974) (186)
- Expanding maps on sets which are almost invariant. Decay and chaos (1979) (182)
- Seasonality and the requirements for perpetuation and eradication of viruses in populations. (1979) (180)
- Beware of mis-assembled genomes (2005) (172)
- Differentiable generalized synchronization of chaos (1997) (165)
- Antimonotonicity: inevitable reversals of period-doubling cascades (1992) (164)
- Basins of Attraction (1996) (164)
- The simplest dynamical system consistent with the data (1990) (163)
- Recurrent outbreaks of measles, chickenpox and mumps. II. Systematic differences in contact rates and stochastic effects. (1973) (160)
- The transition to chaotic attractors with riddled basins (1994) (154)
- Numerical orbits of chaotic processes represent true orbits (1988) (153)
- A procedure for finding numerical trajectories on chaotic saddles (1989) (153)
- A new rhesus macaque assembly and annotation for next-generation sequencing analyses (2014) (153)
- The homotopy continuation method: numerically implementable topological procedures (1978) (152)
- Basins of Wada (1991) (149)
- Asymptotic stability for one dimensional differential-delay equations☆ (1970) (142)
- Sequence of the Sugar Pine Megagenome (2016) (137)
- Basin boundary metamorphoses: changes in accessible boundary orbits (1987) (125)
- HOW MANY DELAY COORDINATES DO YOU NEED (1993) (123)
- The cheater's homotopy: an efficient procedure for solving systems of polynomial equations (1989) (123)
- The Lyapunov dimension of a nowhere differentiable attracting torus (1984) (122)
- Pseudo-orbit shadowing in the family of tent maps (1988) (121)
- On the Stability of a Periodic Solution of a Differential Delay Equation (1975) (119)
- Periods of periodic solutions and the Lipschitz constant (1969) (115)
- Controllability of linear oscillatory systems using positive controls (1971) (114)
- Use of the breeding technique to estimate the structure of the analysis "errors of the day" (2003) (113)
- How long do numerical chaotic solutions remain valid (1997) (113)
- Rigorous verification of trajectories for the computer simulation of dynamical systems (1991) (108)
- Fat baker's transformations (1984) (107)
- Attractors on an N-torus: Quasiperiodicity versus chaos (1985) (106)
- Cascades of period-doubling bifurcations: A prerequisite for horseshoes (1983) (105)
- Wada basin boundaries and basin cells (1996) (104)
- Numerical solution of a generalized eigenvalue problem for even mappings (1979) (104)
- A homotopy method for locating all zeros of a system of polynomials (1979) (103)
- Exact dynamical systems and the Frobenius-Perron operator (1982) (102)
- Unstable dimension variability: a source of nonhyperbolicity in chaotic systems (1997) (101)
- Chaos in a double pendulum (1992) (99)
- Gonorrhea modeling: a comparison of control methods (1982) (98)
- Coping with chaos. Analysis of chaotic data and the exploitation of chaotic systems (1994) (96)
- From High Dimensional Chaos to Stable Periodic Orbits: The Structure of Parameter Space (1997) (95)
- A transition from hopf bifurcation to chaos: Computer experiments with maps on R2 (1978) (94)
- Snakes: Oriented families of periodic orbits, their sources, sinks, and continuation (1982) (91)
- Topological Horseshoes (2001) (91)
- An improved assembly of the loblolly pine mega-genome using long-read single-molecule sequencing (2017) (90)
- When all solutions of x′ = −∑ qi(t) x(t − Ti(t)) oscillate (1984) (89)
- Are three-frequency quasiperiodic orbits to be expected in typical nonlinear dynamical systems (1983) (87)
- CALCULATING STABLE AND UNSTABLE MANIFOLDS (1991) (87)
- How often are chaotic saddles nonhyperbolic (1993) (86)
- HIV Epidemics Driven by Late Disease Stage Transmission (2005) (84)
- QuorUM: An Error Corrector for Illumina Reads (2013) (81)
- A periodic orbit index which is a bifurcation invariant (1983) (79)
- Anomalous bifurcations in DC-DC converters: borderline collisions in piecewise smooth maps (1997) (78)
- Antimonotonicity: Concurrent creation and annihilation of periodic orbits (1990) (78)
- On the nonlinear differential delay equation x′(t) = −f(x(t), x(t − 1)) (1977) (77)
- Explosions of chaotic sets (2000) (77)
- Lyapunov functions and isolating blocks (1973) (77)
- The generic property of existence of solutions of differential equations in Banach space (1973) (76)
- Topology in chaotic scattering (1999) (76)
- The Douglas-Fir Genome Sequence Reveals Specialization of the Photosynthetic Apparatus in Pinaceae (2017) (76)
- Asymptotic periodicity of the iterates of Markov operators (1984) (76)
- How often do simple dynamical processes have infinitely many coexisting sinks? (1986) (76)
- Is the dimension of chaotic attractors invariant under coordinate changes? (1984) (74)
- Assembly reconciliation (2008) (72)
- Invariance for ordinary differential equations (1967) (71)
- Assessing a local ensemble Kalman filter : perfect model experiments with the National Centers for Environmental Prediction global model (2004) (71)
- Exterior dimension of fat fractals (1985) (70)
- Basin boundary metamorphoses: Changes in accessible boundary orbits☆ (1987) (70)
- Numerical solution of a class of deficient polynomial systems (1987) (68)
- Perturbation theorems for ordinary differential equations (1967) (68)
- Prevalence: an addendum (1993) (67)
- Multi-dimensioned intertwined basin boundaries: Basin structure of the kicked double rotor (1987) (67)
- Are the dimensions of a set and its image equal under typical smooth functions? (1997) (63)
- Erratum: ``Controlling chaos'' [Phys. Rev. Lett. 64, 1196 (1990)] (1990) (61)
- Global Hopf bifurcation from a multiple eigenvalue (1978) (59)
- Bounds for periodic solutions of differential equations in Banach spaces (1971) (58)
- Multiple coexisting attractors, basin boundaries and basic sets (1988) (57)
- Perturbing uniform asymptotically stable nonlinear systems (1969) (57)
- The impact of chaos on science and society (1997) (56)
- Is every approximate trajectory of some process near an exact trajectory of a nearby process? (1988) (56)
- Some New Results and Problems in the Theory of Differential-Delay Equations (1971) (55)
- Assessing a local ensemble Kalman filter: perfect model experiments with the National Centers for Environmental Prediction global model (2005) (53)
- Super persistent chaotic transients (1985) (52)
- Period-doubling cascades galore (2009) (52)
- No division implies chaos (1982) (51)
- An open set of maps for which every point is absolutely nonshadowable (1999) (50)
- The implicit function theorem and the global methods of cohomology (1976) (49)
- When Lyapunov exponents fail to exist. (2008) (48)
- Period doubling cascades of attractors: A prerequisite for horseshoes (1985) (47)
- Stagger-and-step method: detecting and computing chaotic saddles in higher dimensions. (2001) (46)
- Using chaos to target stationary states of flows (1992) (45)
- Connecting Period-Doubling Cascades to Chaos (2010) (45)
- The random product homotopy and deficient polynomial systems (1987) (45)
- Accessible saddles on fractal basin boundaries (1992) (44)
- Exploiting Local Low Dimensionality of the Atmospheric Dynamics for Efficient Ensemble Kalman Filtering (2002) (44)
- A Preprocessor for Shotgun Assembly of Large Genomes (2004) (43)
- Background and Basic Concepts (1984) (42)
- Dynamical properties of a simple mechanical system with a large number of coexisting periodic attractors (1998) (42)
- On asymptotically autonomous differential equations (1967) (39)
- Online Supplementary Material (2015) (38)
- Testing for Basins of Wada (2015) (38)
- Inverse limits and an implicitly defined difference equation from economics (2007) (37)
- Lorenz-like chaos in a partial differential equation for a heated fluid loop (1987) (37)
- Figaro: a novel statistical method for vector sequence removal (2008) (37)
- Wada dye boundaries in open hydrodynamical flows (1997) (36)
- Nonassociative, real algebras and quadratic differential equations (1979) (36)
- Book review: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields (1985) (36)
- Making forecasts for chaotic physical processes. (2006) (35)
- Chaotic behavior and fluid dynamics (1981) (35)
- A scaling law: How an attractor's volume depends on noise level (1985) (35)
- Stagger-and-Step Method (2001) (35)
- Finding safety in partially controllable chaotic systems (2012) (35)
- Existence of solutions of two-point boundary value problems for nonlinear systems (1972) (34)
- A Simple Reliable Numerical Algorithm for Following Homotopy Paths (1979) (34)
- Bizarre topology is natural in dynamical systems (1995) (33)
- THE ONSET OF CHAOS IN A FLUID FLOW MODEL OF LORENZ * (1979) (33)
- Unsupervised Learning of Dense Optical Flow and Depth from Sparse Event Data (2018) (33)
- Partial control of chaotic systems. (2008) (32)
- Dynamics of partial control. (2012) (32)
- SPURIOUS LYAPUNOV EXPONENTS IN ATTRACTOR RECONSTRUCTION (1998) (32)
- Chaotic attractors on a 3-torus, and torus break-up (1989) (32)
- Predator-prey patterns. (1973) (32)
- Modeling fractal entrainment sets of tracers advected by chaotic temporally irregular fluid flows using random maps (1997) (32)
- When Cantor sets intersect thickly (1993) (31)
- On the control of US Navy cranes (1997) (31)
- Solutions of x'(t) = f(x(t),x(t − L) have limits when f is an order relation (1979) (30)
- Assessing Predictability with a Local Ensemble Kalman Filter (2007) (30)
- Indecomposable Continua and the Characterization of Strange Sets in Nonlinear Dynamics (1997) (30)
- Dynamics (2nd ed.): numerical explorations (1998) (29)
- Bifurcation rigidity (1999) (29)
- Structure and crises of fractal basin boundaries (1985) (29)
- Finding all periodic orbits of maps using Newton methods: sizes of basins (2000) (29)
- Partially controlling transient chaos in the Lorenz equations (2016) (28)
- Basic sets: Sets that determine the dimension of basin boundaries (1988) (28)
- Analysis of a procedure for finding numerical trajectories close to chaotic saddle hyperbolic sets (1991) (28)
- PERIOD HALVING FOR XN+1=MF(XN) WHERE F HAS NEGATIVE SCHWARZIAN DERIVATIVE (1988) (28)
- Super convergence of ergodic averages for quasiperiodic orbits (2015) (28)
- Indecomposable continua in dynamical systems with noise: Fluid flow past an array of cylinders. (1997) (27)
- Collapsing of chaos in one dimensional maps (2000) (27)
- ABSOLUTELY CONTINUOUS S.R.B. MEASURES FOR RANDOM LASOTA-YORKE MAPS (1998) (26)
- Convex error growth patterns in a global weather model. (2005) (26)
- Theory of first order phase transitions for chaotic attractors of nonlinear dynamical systems (1989) (26)
- Unsupervised Learning of Dense Optical Flow, Depth and Egomotion from Sparse Event Data (2018) (26)
- Design and Control of Shipboard Cranes (1997) (26)
- Crossing bifurcations and unstable dimension variability. (2006) (26)
- Lyapunov theory and perturbation of stable and asymptotically stable systems (1974) (26)
- The Many Facets of Chaos (2015) (26)
- Mis-Assembled “Segmental Duplications” in Two Versions of the Bos taurus Genome (2012) (26)
- Unsupervised Learning of Dense Optical Flow, Depth and Egomotion with Event-Based Sensors (2020) (25)
- Quantitative quasiperiodicity (2015) (24)
- Predicting Chaos Most of the Time from Embeddings with Self-Intersections (1998) (24)
- An index for the global continuation of relatively isolated sets of periodic orbits (1983) (24)
- Intermingled basins for the triangle map (1996) (24)
- Numerically determining solutions of systems of polynomial equations (1988) (23)
- Metamorphoses: Sudden jumps in basin boundaries (1991) (23)
- Multi-dimensioned intertwined basin boundaries and the kicked double rotor (1986) (23)
- Learning about Reality from Observation (2003) (23)
- Exploring Chaos on an Interval (2000) (23)
- Coping with chaos (2013) (23)
- Competitive Exclusion and Nonequilibrium Coexistence (1977) (22)
- Families of periodic orbits: Virtual periods and global continuability (1984) (22)
- Families of periodic orbits: local continuability does not imply global continuability (1981) (22)
- Correlations in DNA sequences across the three domains of life (2000) (21)
- Asymptotic behavior and exponential stability criteria for differential delay equations (1972) (21)
- The topology of stirred fluids (1997) (21)
- One-Dimensional Maps (1997) (20)
- Ergodic maps on [0, 1] and nonlinear pseudo-random number generators☆ (1978) (20)
- A Method of Continuation for Calculating a Brouwer Fixed Point (1977) (20)
- Duplication count distributions in DNA sequences. (2008) (20)
- Piecewise Smooth Homotopies (1983) (19)
- Network Deconvolution (2019) (19)
- Reconstructing the Jacobian from Data with Observational Noise (1999) (19)
- Plotting stable manifolds: error estimates and noninvertible maps (1996) (19)
- EQUATIONS MODELLING POPULATION GROWTH, ECONOMIC GROWTH, AND GONORRHEA EPIDEMIOLOGY (1972) (18)
- Simplicial approximation of Poincaré maps of differential equations (1987) (18)
- The topology of fluid flow past a sequence of cylinders (1999) (18)
- Pseudocircles in dynamical systems (1994) (18)
- On the Fundamental Theory of Differential Equations (1969) (18)
- Correlation dimension for iterated function systems (1997) (18)
- Effect of Noise on Nonhyperbolic Chaotic Attractors (1998) (17)
- When the long-time behavior is independent of the initial density (1996) (17)
- Measuring quasiperiodicity (2015) (17)
- Reconciling Different Infectivity Estimates for HIV-1 (2006) (17)
- The structure of basins of attraction and their trapping regions (1997) (16)
- A theorem on Liapunov functions using $$\ddot V$$ (1970) (16)
- The inverse limits approach to chaos (2008) (16)
- Equivalence of Surface Density and Average Directional Density (1984) (15)
- A period-doubling cascade precedes chaos for planar maps. (2013) (15)
- Selected topics in differential delay equations (1971) (15)
- SPACES OF SOLUTIONS (1969) (15)
- The law of exponential decay for expanding mappings (1981) (15)
- A numerical procedure for finding accessible trajectories on basin boundaries (1991) (15)
- Perturbing Uniformly Stable Linear Systems with and without Attraction (1969) (15)
- The Maximum Principle and Controllability of Nonlinear Equations (1972) (14)
- Scaling of chaos versus periodicity: how certain is it that an attractor is chaotic? (2014) (14)
- Invisible Errors in Dimension Calculations: Geometric and Systematic Effects (1986) (14)
- Bifurcations of basins of attraction from the view point of prime ends (2007) (13)
- Calculating bifurcation invariants as elements in the homotopy of the general linear group (1978) (13)
- When the Best Pandemic Models are the Simplest (2020) (13)
- On the continuability of periodic orbits of parametrized three-dimensional differential equations☆ (1983) (12)
- TWO TYPES OF HOPF BIFURCATION POINTS: SOURCES AND SINKS OF FAMILIES OF PERIODIC ORBITS * (1980) (11)
- Explosions: global bifurcations at heteroclinic tangencies (2002) (11)
- The equality of fractal dimension and uncertainty dimension for certain dynamical systems (1992) (11)
- Fixed points indices and period-doubling cascades (2010) (11)
- Spurious Lyapunov Exponents Computed from Data (2007) (10)
- Low-dimensional paradigms for high-dimensional hetero-chaos. (2018) (10)
- Lorenz cross sections of the chaotic attractor of the double rotor (1987) (10)
- OUTER TANGENCY BIFURCATIONS OF CHAOTIC SETS (1998) (10)
- 4 USE OF THE BREEDING TECHNIQUE IN THE ESTIMATION OF THE BACKGROUND COVARIANCE MATRIX FOR A QUASI-GEOSTROPHIC MODEL (10)
- Another Proof of the Liapunov Convexity Theorem (1971) (9)
- Predictability in time series (1995) (9)
- Regularity results for real analytic homotopies (1985) (9)
- Piecewise linear maps with heterogeneous chaos (2018) (9)
- The Relationship between Anxiety, External Structure, Behavioral History and Becoming Locked into Restricted and Repetitive Behaviors in Autism Spectrum Disorder (2018) (9)
- BEHAVIORAL RHYTHMS IN SCHIZOPHRENIA (1978) (9)
- Continuous avalanche mixing of granular solids in a rotating drum (1996) (9)
- Characterizing the basins with the most entangled boundaries (2003) (9)
- Modeling non-monogamous heterosexual transmission of AIDS (1990) (9)
- Massive bifurcation of chaotic scattering (1991) (9)
- The Local Ensemble Transform Kalman Filter and its implementation on the NCEP global model at the University of Maryland (2007) (8)
- The existence and nonexistence of critical points in bounded flows (1969) (8)
- Multichaos from Quasiperiodicity (2017) (8)
- A local ensemble Kalman filter for the NCEP GFS model (2004) (8)
- Noise-induced chaotic-attractor escape route (2020) (8)
- Shadowability of Chaotic Dynamical Systems (2002) (8)
- NONCONTINUABLE SOLUTIONS OF DIFFERENTIAL- DELAY EQUATIONS (1969) (8)
- Inverse Limits and Models with Backward Dynamics (2006) (8)
- Asymptotic properties of solutions using the second derivative of a Liapunov function (1966) (8)
- Controlling chaotic fluctuations in semiconductor laser arrays (1996) (8)
- Two Models for the Study of Congested Internet Connections (2004) (7)
- Fractal properties of critical invariant curves (1996) (7)
- Quasiperiodicity: Rotation Numbers (2016) (7)
- Identifying perturbations which preserve asymptotic stability (1969) (7)
- A classification of explosions in dimension one (2007) (7)
- Persistent homoclinic tangencies in the He´non family (1995) (7)
- Linear perturbations of ordinary differential equations (1970) (7)
- STRONGER LASOTA-YORKE INEQUALITY FOR ONE-DIMENSIONAL PIECEWISE EXPANDING TRANSFORMATIONS (2014) (7)
- Extending Liapunov’s second method to non-lipschitz Liapunov functions (1968) (7)
- Fractal Basin Boundaries with Unique Dimension a (1987) (7)
- GENERALIZED H ´ ENON DIFFERENCE EQUATIONS WITH DELAY (2003) (7)
- Generalized Lorenz equations on a three-sphere (2017) (7)
- Pseudocircles, diffeomorphisms and perturbable dynamical systems (1996) (7)
- Avoiding extremes using partial control (2015) (7)
- Dynamics of circular oscillator arrays subjected to noise (2022) (6)
- Invariance for Contingent Equations (1969) (6)
- Evolution of transcriptional networks in yeast: alternative teams of transcriptional factors for different species (2016) (6)
- An extension of Chetaev’s instability theorem using invariant sets and an example (1968) (6)
- Flows on S3 and R3 without periodic orbits (1983) (6)
- Invariance for ordinary differential equations: Correction (1968) (6)
- Dynamical System Topology Preserved in the Presence of Noise (1998) (6)
- On minimal periods of functional-differential equations and difference inclusions (2014) (6)
- Geometry of the edge of chaos in a low-dimensional turbulent shear flow model. (2015) (6)
- The AIDS epidemic's influence on the gay contact rate from analysis of gonorrhea incidence (1989) (6)
- CONTROL OF SHIPBOARD CRANES (2000) (6)
- Modeling continuous mixing of granular solids in a rotating drum (1998) (5)
- Population Collapse in Elite-Dominated Societies: A Differential Equations Model without Differential Equations (2019) (5)
- Shorter Notes: Permutations and Two Sequences with the same Cluster Set (1969) (5)
- Conceptualization of a Heuristic to Predict Increase in Restricted and Repetitive Behaviour in ASD across the Short to Medium Term (2017) (5)
- Using fractal to solve the multiple minima problem in molecular mechanics calculation (2000) (5)
- Improving Phrap-Based Assembly of the Rat Using “Reliable” Overlaps (2008) (5)
- Solving the Babylonian problem of quasiperiodic rotation rates (2017) (5)
- Period-doubling cascades for large perturbations of Hénon families (2009) (5)
- Differential inequalities and non-lipschitz scalar functions (1970) (5)
- Path following approaches for solving nonlinear equations: Homotopy, continuous newton and projection (1979) (5)
- Hopf bifurcation: The appearance of virtual periods in cases of resonance☆ (1986) (5)
- The cascades route to chaos (2009) (5)
- The graph of the logistic map is a tower (2020) (5)
- Modeling Gonorrhea in a Population with a Core Group (1984) (4)
- Robustness of Solutions of Almost Every System of Equations (2022) (4)
- Measurements of a Physical Process Satisfy a Difference Equation (2002) (4)
- Erratum to: An improved assembly of the loblolly pine mega-genome using long-read single-molecule sequencing (2017) (4)
- Overly Regulated Thinking and Autism Revisited. (2016) (4)
- Why period-doubling cascades occur: periodic orbit creation followed by stability shedding (1987) (4)
- Statistical periodicity of deterministic systems (1986) (4)
- Shadowing trajectories of dynamical systems (1991) (4)
- Smooth dynamics on Weierstrass nowhere differentiable curves (1991) (4)
- Dimension Measurements from Cloud Radiance (1986) (3)
- Existence and Stability of Periodic Solutions of x′(t) = —f(x(t), x(t — 1)) (1976) (3)
- Topology Proceedings MODELING A CHAOTIC MACHINE’S DYNAMICS AS A LINEAR MAP ON A “SQUARE SPHERE” (2013) (3)
- Dynamics: Numerical explorations, second, revised and expanded edition, accompanied by software program Dynamics (version 2) (1998) (3)
- Shadowing in Chaotic Systems (1995) (3)
- Chaos in Differential Equations (1997) (3)
- Modeling HIV outbreaks: the male to female prevalence ratio in the core population. (2008) (3)
- The AIDS epidemic's influence on New York City's gay sexual contact rate from an analysis of gonorrhea incidence (1990) (2)
- Perturbing asymptotically stable differential equations (1968) (2)
- Robustness of periodic orbits in the presence of noise (2015) (2)
- Seminar on Differential Equations and Dynamical Systems, II : seminar lectures at the University of Maryland, 1969 (1970) (2)
- A hierarchical network heuristic for solving the orientation problem in genome assembly (2013) (2)
- The advantages of the simplest pandemic models (2020) (2)
- Analyzing Chaos: A Visual Essay in Nonlinear Dynamics (1990) (2)
- 4D ensemble Kalman filtering for assimilation of asynchronous observations (2004) (2)
- Asymptotic stability for functional differential equations (1968) (2)
- Local Low Dimensionality and Relation to Effects Of Targeted Weather Observations (2003) (2)
- Shadowing in Higher Dimensions (2007) (2)
- Bifurcations and Chaos in a Periodically probed Computer Network (2009) (2)
- Truncated development of chaotic attractors in a map when the Jacobian is not small (1984) (2)
- Correction: Invariance for Ordinary Differential Equations (1968) (2)
- Multi-chaos from Quasiperiodicity (2015) (2)
- The ‘Simplest’ Dynamical System (1976) (2)
- Notizen: Cloud Attractors and Time-Inverted Julia Boundaries (1986) (2)
- Infinite towers in the graph of a dynamical system (2021) (2)
- Stable Manifolds and Crises (1997) (2)
- Stability of TCP Dynamics in Large Data Networks (2009) (2)
- Uncertainty as to whether or not a system has a chaotic attractor (2015) (2)
- Fractal Basin Boundaries in Nonlinear Dynamical Systems (1984) (1)
- Paper 6 – Using chaos to direct trajectories to targets (1996) (1)
- ERGODIC TRANSFORMATIONS FROM AN INTERVAL INTO ITSELF 1 (2010) (1)
- Dimension and Lyapunov Exponents (1994) (1)
- Oscillatory solutions of second order ordinary differential equations (1971) (1)
- Finding Periodic Orbits (1994) (1)
- Finding the rotation rate of any map from a quasiperiodic torus to a circle (2017) (1)
- An open set of torus-maps conjugate to skew products (2015) (1)
- TOWARD A UNIFICATION OF ORDINARY DIFFERENTIAL EQUATIONS WITH NONLINEAR SEMI-GROUP THEORY (1975) (1)
- Modeling Gonorrhea in a Population Divided into Eight Groups (1984) (1)
- Enveloping manifolds (2004) (1)
- The equations of nature and the nature of equations (2020) (1)
- Unstable and Stable Manifolds (1994) (1)
- The Effect of Gravity on the Deposition of Thin Films: The Physical Vapor Transport of Copper Phthalocyanine. (1994) (1)
- Cloud Attractors and Time-inverted Julia Bound-aries (1986) (1)
- A Simple Model for Gonorrhea Dynamics (1984) (1)
- Publisher's Note: Partial control of chaotic systems [Phys. Rev. E77, 055201 (2008)] (2008) (1)
- Network state estimation via passive traffic monitoring (2005) (1)
- Chaos in Two-Dimensional Maps (1997) (1)
- A Refined Model for Gonorrhea Dynamics (1984) (1)
- MODELING CONGESTED INTERNET CONNECTIONS (2004) (1)
- On The Dynamical Basis of Targeting Weather Observations (2002) (1)
- Inverse Limits and Models with Ill-Defined Forward Dynamics (2005) (1)
- State Reconstruction from Data (1997) (1)
- Periodic Orbits and Limit Sets (1997) (1)
- Liapunov functions and the existence of solutions tending to 0 (1968) (1)
- Multi-chaos : A Low Dimensional Paradigm for High Dimensional Chaos (2015) (1)
- The Behavior of Oscillatory Solutions of $x''(t) + p(t)g(x(t)) = 0$ (1972) (1)
- Intermingled Basins and Riddling Bifurcation in Chaotic Dynamical Systems (1997) (1)
- Quasiperiodicity and Chaos (1984) (0)
- Lorenz Cross-Sections and Dimension of the Double Rotor Attractor (1986) (0)
- PERIODS OF PERIODIC SOLUTIONS AND THE (2016) (0)
- Title of thesis: GENOME ASSEMBLY TECHNIQUES (2011) (0)
- Quasi-periodic Orbits in Siegel Disks/Balls and the Babylonian Problem (2018) (0)
- Modeling Gonorrhea Transmission in a Heterosexual Population (1984) (0)
- Chaotic Models and Anomaly Detection for Complex Data Networks (2012) (0)
- Evolution of transcriptional networks in yeast: alternative teams of transcriptional factors for different species (2016) (0)
- The period of periodic solutions and charged particles in magnetic fields (1970) (0)
- A Chaos Lemma Author ( s ) : (2008) (0)
- HAUSDORFF DIMENSION OF CANTOR INTERSECTIONS FOR COUPLED HORSESHOE MAPS (2021) (0)
- Paper 1 – Controlling chaos (1996) (0)
- LINEAR PERTURBATIONS OF A FAMILY OF LINEAR SYSTEMS. (1968) (0)
- Adding Your Own Process to Dynamics (1998) (0)
- Quasi-periodic Orbits in Siegel Disks/Balls and the Babylonian Problem (2018) (0)
- Edge states in the transition to turbulence in pipe and other shear flows (2005) (0)
- The study of effects of small perturbations on chaotic systems. Progress report, January 1991--December 1991 (1991) (0)
- Are Three-Frequency Quasiyeriodic Orbits to Be Expected in Typical Nonlinear Dynamical Systems ' ? (2011) (0)
- LINEAR PERTURBATIONS OF ORDINARY DIFFERENTIAL EQUATIONS1 (2010) (0)
- Global properties of solutions of almost every system of equations (2022) (0)
- An Obstacle to Predictability (1984) (0)
- Collapsing of Chaos in One Dimensional (2007) (0)
- Editorial Board (2016) (0)
- N-FREQUENCY QUASIPERIODICITY AND CHAOS IN DISSIPATIVE DYNAMICAL SYSTEMS (1984) (0)
- Generalized Lorenz equations on a three-sphere (2017) (0)
- Great Britain Super persistent chaotic transients (2007) (0)
- Controlling Chaos in High Dimensional Systems 14 DECEM BER 1992 (2011) (0)
- Mathematical Go Chilling Gets the Last Point (Elwyn Berlekamp and David Wolfe) (1996) (0)
- On the Relationship Between the Effects of Targeted Weather Observations and Local Low Dimensionalities in the Atmosphere (2001) (0)
- The twisted baker map (2022) (0)
- 4 Applying Global-brain-utilizing Models to Crisis Management 2.4.1 Information Overload and Dreaming 2.3 Analogy between Human Brain and Global Brain 2.2 Biological Brains the Global Brain as a Modeling Paradigm for Crisis Management (1994) (0)
- Improving Genome Assembly Improving Genome Assembly (2005) (0)
- Do numerical trajectories represent true trajectories (1987) (0)
- Hausdorff dimension of heteroclinic intersections for some partially hyperbolic sets (2020) (0)
- Numerical Procedures for Analyzing Dynamical Processes. (1992) (0)
- CALCULATING BIFURCATION INV AIUANTS AS ELEMENTS IN THE HOMOTOPY OF THE GENERAL LINEAR GROUP (2001) (0)
- IDENTIFYING PERTURBATIONS WHICH PRESERVE (2010) (0)
- The continuous route to multi-chaos. (2018) (0)
- Can the Flap of a Butterfly’s Wings Shift a Tornado into Texas—Without Chaos? (2023) (0)
- Atmospheric Dynamics for Efficient Ensemble Kalman Filtering (2014) (0)
- Infinite towers in the graphs of many dynamical systems (2021) (0)
- Hausdorff dimension of Cantor intersections and robust heterodimensional cycles for heterochaos horseshoe maps (2020) (0)
- EXPERIMENTAL OBSERVATION OF CRISIS INDUCED INTERMITTENCY Lfl (0)
- Extinction of multiple populations and a team of Die-out Lyapunov functions (2022) (0)
- MAKING FORECASTS FOR CHAOTIC PROCESSES IN THE PRESENCE OF MODEL ERROR (2006) (0)
- Chaotic n-Dimensional Euclidean and Hyperbolic Open Billiards and Chaotic Spinning Planar Billiards (2008) (0)
- Study of effects of small perturbations on chaotic systems. [Univ. of Maryland, College Park, Maryland] (1993) (0)
- Global Implications of the Implicit Function Theorem (1991) (0)
- Structured Systems of Nonlinear Equations (2020) (0)
- EXTINCTION OF POPULATIONS AND A TEAM OF LYAPUNOV FUNCTIONS (2022) (0)
- Almost every measurement method (2003) (0)
- Theoretical Investigations of Chaotic Dynamics (1988) (0)
- Three-frequency quasiperiodicity and chaos on a torus (1987) (0)
- Indestructible dynamics of torus maps (2015) (0)
- Instability , Modus Ponens and Uncertainty of Deduction (2004) (0)
- Numerical Solution of Systems of Nonlinear Equations. (1982) (0)
- Changing the Program (1994) (0)
- How good and for how long : Scaling laws on validity of trajectories (1997) (0)
- THE LOCAL ENSEMBLE KALMAN FILTER OF THE UNIVERSITY OF MARYLAND (2004) (0)
- Samples of Dynamics : Pictures You Can Make Simply (1994) (0)
- Using breeding and the Bred Vector Dimension to estimate the spatial structure of the analysis (2001) (0)
- Getting the Program Running (1994) (0)
- ROTATION INTERVALS FOR CHAOTIC SETS (1998) (0)
- Expected escape times from attractor basins due to low intensity noise (2023) (0)
- Pointwise Dimension and Unstable Periodic Orbits (1991) (0)
- When All Solutions of x ’ =-C 9 / ( t ) x ( t-TJt ) ) Oscillate * (0)
- Misbehaviour of Solutions of the Differential Equation $y'=f(x,y)+\varepsilon$ when the Right Hand Side is Discontinuous. (1970) (0)
- AITRACfORS ON AN N-TORUS: QUASIPERIODICITYVERSUS CHAOS (1985) (0)
- Crinkled changes of variables for maps on a circle (2020) (0)
- Two-Dimensional Maps (1997) (0)
- Improving Sequence Assembly of the Rat Genome Using Reliable Overlaps and Extended Reads (2005) (0)
- Following Periodic Orbits (1994) (0)
- Controlling Chaos 12 MARCH 1990 (2011) (0)
- The nature of equations and the equations of nature (2020) (0)
- Supplementary Material 24 (2010) (0)

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