#5,204

Most Influential Person

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

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.

- Period Three Implies Chaos (1975) (3182)
- Chaos: An Introduction to Dynamical Systems (1997) (1982)
- A whole-genome assembly of the domestic cow, Bos taurus (2009) (1048)
- Crises, sudden changes in chaotic attractors, and transient chaos (1983) (1015)
- Butterfly genome reveals promiscuous exchange of mimicry adaptations among species (2012) (1013)
- Dimension of chaotic attractors (1982) (913)
- The MaSuRCA genome assembler (2013) (830)
- A local ensemble Kalman filter for atmospheric data assimilation (2002) (786)
- On the existence of invariant measures for piecewise monotonic transformations (1973) (767)
- Using small perturbations to control chaos (1993) (708)
- Chaotic behavior of multidimensional difference equations (1979) (702)
- The Atlantic salmon genome provides insights into rediploidization (2016) (701)
- GAGE: A critical evaluation of genome assemblies and assembly algorithms. (2012) (694)
- Gonorrhea Transmission Dynamics and Control (1984) (657)
- A Deterministic Model for Gonorrhea in a Nonhomogeneous Population (1976) (591)
- CHAOTIC ATTRACTORS IN CRISIS (1982) (557)
- Strange attractors that are not chaotic (1984) (493)
- Fractal basin boundaries (1985) (453)
- Border-collision bifurcations including “period two to period three” for piecewise smooth systems (1992) (439)
- Recurrent outbreaks of measles, chickenpox and mumps. I. Seasonal variation in contact rates. (1973) (432)
- Decoding the massive genome of loblolly pine using haploid DNA and novel assembly strategies (2014) (410)
- Multi-Platform Next-Generation Sequencing of the Domestic Turkey (Meleagris gallopavo): Genome Assembly and Analysis (2010) (410)
- The liapunov dimension of strange attractors (1983) (401)
- Dynamics and Control of the Transmission of Gonorrhea (1978) (392)
- Dynamics: Numerical Explorations (1994) (385)
- Finding zeroes of maps: homotopy methods that are constructive with probability one (1978) (384)
- Chaos, Strange Attractors, and Fractal Basin Boundaries in Nonlinear Dynamics (1987) (376)
- Bifurcations in one-dimensional piecewise smooth maps-theory and applications in switching circuits (2000) (332)
- Final state sensitivity: An obstruction to predictability (1983) (270)
- Draft genome of the globally widespread and invasive Argentine ant (Linepithema humile) (2011) (266)
- BORDER-COLLISION BIFURCATIONS FOR PIECEWISE SMOOTH ONE-DIMENSIONAL MAPS (1995) (265)
- Sequencing and Assembly of the 22-Gb Loblolly Pine Genome (2014) (260)
- Ergodic transformations from an interval into itself (1978) (257)
- Preturbulence: A regime observed in a fluid flow model of Lorenz (1979) (251)
- Reducing storage requirements for biological sequence comparison (2004) (247)
- Border-collision bifurcations in the buck converter (1998) (245)
- Hybrid assembly of the large and highly repetitive genome of Aegilops tauschii, a progenitor of bread wheat, with the mega-reads algorithm (2016) (244)
- Edge of chaos in a parallel shear flow. (2006) (244)
- Some equations modelling growth processes and gonorrhea epidemics (1973) (242)
- Metastable chaos: The transition to sustained chaotic behavior in the Lorenz model (1979) (240)
- Four-dimensional ensemble Kalman filtering (2004) (234)
- INTERVAL MAPS, FACTORS OF MAPS, AND CHAOS (1980) (229)
- Do numerical orbits of chaotic dynamical processes represent true orbits? (1987) (209)
- Fractal Basin Boundaries, Long-Lived Chaotic Transients, And Unstable-Unstable Pair Bifurcation (1983) (209)
- Turbulence transition and the edge of chaos in pipe flow. (2007) (209)
- A Constructive Proof of the Brouwer Fixed-Point Theorem and Computational Results (1976) (205)
- A local ensemble transform Kalman filter data assimilation system for the NCEP global model (2008) (197)
- Local low dimensionality of atmospheric dynamics. (2001) (193)
- Estimating correlation dimension from a chaotic time series: when does plateau onset occur? (1993) (191)
- Ordinary differential equations which yield periodic solutions of differential delay equations (1974) (179)
- Expanding maps on sets which are almost invariant. Decay and chaos (1979) (179)
- Seasonality and the requirements for perpetuation and eradication of viruses in populations. (1979) (178)
- Unique Features of the Loblolly Pine (Pinus taeda L.) Megagenome Revealed Through Sequence Annotation (2014) (175)
- Beware of mis-assembled genomes (2005) (167)
- The simplest dynamical system consistent with the data (1990) (158)
- Recurrent outbreaks of measles, chickenpox and mumps. II. Systematic differences in contact rates and stochastic effects. (1973) (156)
- Differentiable generalized synchronization of chaos (1997) (155)
- Basins of Attraction (1996) (151)
- Numerical orbits of chaotic processes represent true orbits (1988) (150)
- The transition to chaotic attractors with riddled basins (1994) (150)
- A new rhesus macaque assembly and annotation for next-generation sequencing analyses (2014) (150)
- The homotopy continuation method: numerically implementable topological procedures (1978) (147)
- A procedure for finding numerical trajectories on chaotic saddles (1989) (146)
- Antimonotonicity: inevitable reversals of period-doubling cascades (1992) (138)
- Asymptotic stability for one dimensional differential-delay equations☆ (1970) (138)
- Basins of Wada (1991) (133)
- Sequence of the Sugar Pine Megagenome (2016) (123)
- Basin boundary metamorphoses: changes in accessible boundary orbits (1987) (123)
- HOW MANY DELAY COORDINATES DO YOU NEED (1993) (121)
- The cheater's homotopy: an efficient procedure for solving systems of polynomial equations (1989) (118)
- Pseudo-orbit shadowing in the family of tent maps (1988) (117)
- On the Stability of a Periodic Solution of a Differential Delay Equation (1975) (116)
- The Lyapunov dimension of a nowhere differentiable attracting torus (1984) (115)
- Use of the breeding technique to estimate the structure of the analysis "errors of the day" (2003) (112)
- Controllability of linear oscillatory systems using positive controls (1971) (112)
- Periods of periodic solutions and the Lipschitz constant (1969) (111)
- How long do numerical chaotic solutions remain valid (1997) (109)
- Attractors on an N-torus: Quasiperiodicity versus chaos (1985) (104)
- Rigorous verification of trajectories for the computer simulation of dynamical systems (1991) (104)
- Numerical solution of a generalized eigenvalue problem for even mappings (1979) (103)
- A homotopy method for locating all zeros of a system of polynomials (1979) (102)
- Cascades of period-doubling bifurcations: A prerequisite for horseshoes (1983) (101)
- Fat baker's transformations (1984) (101)
- Coping with chaos. Analysis of chaotic data and the exploitation of chaotic systems (1994) (98)
- Unstable dimension variability: a source of nonhyperbolicity in chaotic systems (1997) (96)
- Gonorrhea modeling: a comparison of control methods (1982) (96)
- Chaos in a double pendulum (1992) (96)
- From High Dimensional Chaos to Stable Periodic Orbits: The Structure of Parameter Space (1997) (95)
- Exact dynamical systems and the Frobenius-Perron operator (1982) (94)
- Wada basin boundaries and basin cells (1996) (93)
- A transition from hopf bifurcation to chaos: Computer experiments with maps on R2 (1978) (91)
- Snakes: Oriented families of periodic orbits, their sources, sinks, and continuation (1982) (87)
- When all solutions of x′ = −∑ qi(t) x(t − Ti(t)) oscillate (1984) (86)
- CALCULATING STABLE AND UNSTABLE MANIFOLDS (1991) (85)
- Are three-frequency quasiperiodic orbits to be expected in typical nonlinear dynamical systems (1983) (84)
- HIV Epidemics Driven by Late Disease Stage Transmission (2005) (82)
- Topological Horseshoes (2001) (78)
- Anomalous bifurcations in DC-DC converters: borderline collisions in piecewise smooth maps (1997) (78)
- QuorUM: An Error Corrector for Illumina Reads (2013) (76)
- How often are chaotic saddles nonhyperbolic (1993) (76)
- The generic property of existence of solutions of differential equations in Banach space (1973) (75)
- A periodic orbit index which is a bifurcation invariant (1983) (74)
- On the nonlinear differential delay equation x′(t) = −f(x(t), x(t − 1)) (1977) (74)
- Explosions of chaotic sets (2000) (74)
- Asymptotic periodicity of the iterates of Markov operators (1984) (73)
- Lyapunov functions and isolating blocks (1973) (72)
- Is the dimension of chaotic attractors invariant under coordinate changes? (1984) (72)
- How often do simple dynamical processes have infinitely many coexisting sinks? (1986) (72)
- An improved assembly of the loblolly pine mega-genome using long-read single-molecule sequencing (2017) (72)
- Assembly reconciliation (2008) (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)
- Topology in chaotic scattering (1999) (69)
- The Douglas-Fir Genome Sequence Reveals Specialization of the Photosynthetic Apparatus in Pinaceae (2017) (68)
- Numerical solution of a class of deficient polynomial systems (1987) (67)
- Invariance for ordinary differential equations (1967) (67)
- Multi-dimensioned intertwined basin boundaries: Basin structure of the kicked double rotor (1987) (67)
- Prevalence: an addendum (1993) (66)
- Antimonotonicity: Concurrent creation and annihilation of periodic orbits (1990) (65)
- Perturbation theorems for ordinary differential equations (1967) (65)
- Basin boundary metamorphoses: Changes in accessible boundary orbits☆ (1987) (62)
- Erratum: ``Controlling chaos'' [Phys. Rev. Lett. 64, 1196 (1990)] (1990) (61)
- Are the dimensions of a set and its image equal under typical smooth functions? (1997) (61)
- Global Hopf bifurcation from a multiple eigenvalue (1978) (59)
- Multiple coexisting attractors, basin boundaries and basic sets (1988) (56)
- The impact of chaos on science and society (1997) (56)
- Perturbing uniform asymptotically stable nonlinear systems (1969) (56)
- Some New Results and Problems in the Theory of Differential-Delay Equations (1971) (55)
- Bounds for periodic solutions of differential equations in Banach spaces (1971) (54)
- Is every approximate trajectory of some process near an exact trajectory of a nearby process? (1988) (54)
- Assessing a local ensemble Kalman filter: perfect model experiments with the National Centers for Environmental Prediction global model (2005) (53)
- Period-doubling cascades galore (2009) (51)
- Super persistent chaotic transients (1985) (50)
- No division implies chaos (1982) (49)
- Book review: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields (1985) (49)
- An open set of maps for which every point is absolutely nonshadowable (1999) (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)
- When Lyapunov exponents fail to exist. (2008) (45)
- The implicit function theorem and the global methods of cohomology (1976) (45)
- Exploiting Local Low Dimensionality of the Atmospheric Dynamics for Efficient Ensemble Kalman Filtering (2002) (43)
- Accessible saddles on fractal basin boundaries (1992) (42)
- Dynamical properties of a simple mechanical system with a large number of coexisting periodic attractors (1998) (42)
- Background and Basic Concepts (1984) (42)
- Connecting Period-Doubling Cascades to Chaos (2010) (41)
- The random product homotopy and deficient polynomial systems (1987) (41)
- A Preprocessor for Shotgun Assembly of Large Genomes (2004) (40)
- Lorenz-like chaos in a partial differential equation for a heated fluid loop (1987) (37)
- On asymptotically autonomous differential equations (1967) (36)
- Wada dye boundaries in open hydrodynamical flows (1997) (36)
- Figaro: a novel statistical method for vector sequence removal (2008) (36)
- A scaling law: How an attractor's volume depends on noise level (1985) (35)
- Existence of solutions of two-point boundary value problems for nonlinear systems (1972) (35)
- Inverse limits and an implicitly defined difference equation from economics (2007) (35)
- Chaotic behavior and fluid dynamics (1981) (35)
- Stagger-and-Step Method (2001) (35)
- A Simple Reliable Numerical Algorithm for Following Homotopy Paths (1979) (34)
- Making forecasts for chaotic physical processes. (2006) (34)
- Nonassociative, real algebras and quadratic differential equations (1979) (34)
- THE ONSET OF CHAOS IN A FLUID FLOW MODEL OF LORENZ * (1979) (33)
- Modeling fractal entrainment sets of tracers advected by chaotic temporally irregular fluid flows using random maps (1997) (32)
- Online Supplementary Material (2015) (32)
- Finding safety in partially controllable chaotic systems (2012) (32)
- Predator-prey patterns. (1973) (32)
- Testing for Basins of Wada (2015) (32)
- SPURIOUS LYAPUNOV EXPONENTS IN ATTRACTOR RECONSTRUCTION (1998) (32)
- Dynamics (2nd ed.): numerical explorations (1998) (32)
- Unsupervised Learning of Dense Optical Flow and Depth from Sparse Event Data (2018) (31)
- Dynamics of partial control. (2012) (31)
- Partial control of chaotic systems. (2008) (31)
- Indecomposable Continua and the Characterization of Strange Sets in Nonlinear Dynamics (1997) (30)
- 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)
- Bizarre topology is natural in dynamical systems (1995) (30)
- Structure and crises of fractal basin boundaries (1985) (30)
- Bifurcation rigidity (1999) (29)
- On the control of US Navy cranes (1997) (29)
- Finding all periodic orbits of maps using Newton methods: sizes of basins (2000) (29)
- Chaotic attractors on a 3-torus, and torus break-up (1989) (29)
- Basic sets: Sets that determine the dimension of basin boundaries (1988) (28)
- Indecomposable continua in dynamical systems with noise: Fluid flow past an array of cylinders. (1997) (27)
- When Cantor sets intersect thickly (1993) (26)
- Partially controlling transient chaos in the Lorenz equations (2016) (26)
- PERIOD HALVING FOR XN+1=MF(XN) WHERE F HAS NEGATIVE SCHWARZIAN DERIVATIVE (1988) (26)
- Mis-Assembled “Segmental Duplications” in Two Versions of the Bos taurus Genome (2012) (26)
- Analysis of a procedure for finding numerical trajectories close to chaotic saddle hyperbolic sets (1991) (26)
- Theory of first order phase transitions for chaotic attractors of nonlinear dynamical systems (1989) (25)
- Design and Control of Shipboard Cranes (1997) (25)
- Convex error growth patterns in a global weather model. (2005) (25)
- Collapsing of chaos in one dimensional maps (2000) (25)
- Lyapunov theory and perturbation of stable and asymptotically stable systems (1974) (24)
- Coping with chaos (2013) (24)
- Crossing bifurcations and unstable dimension variability. (2006) (24)
- Intermingled basins for the triangle map (1996) (24)
- The Many Facets of Chaos (2015) (23)
- An index for the global continuation of relatively isolated sets of periodic orbits (1983) (23)
- Exploring Chaos on an Interval (2000) (23)
- Unsupervised Learning of Dense Optical Flow, Depth and Egomotion from Sparse Event Data (2018) (23)
- Super convergence of ergodic averages for quasiperiodic orbits (2015) (22)
- Multi-dimensioned intertwined basin boundaries and the kicked double rotor (1986) (22)
- ABSOLUTELY CONTINUOUS S.R.B. MEASURES FOR RANDOM LASOTA-YORKE MAPS (1998) (22)
- Numerically determining solutions of systems of polynomial equations (1988) (22)
- Families of periodic orbits: local continuability does not imply global continuability (1981) (22)
- Families of periodic orbits: Virtual periods and global continuability (1984) (21)
- Competitive Exclusion and Nonequilibrium Coexistence (1977) (21)
- Predicting Chaos Most of the Time from Embeddings with Self-Intersections (1998) (21)
- Asymptotic behavior and exponential stability criteria for differential delay equations (1972) (21)
- Learning about Reality from Observation (2003) (21)
- One-Dimensional Maps (1997) (20)
- A Method of Continuation for Calculating a Brouwer Fixed Point (1977) (20)
- Quantitative quasiperiodicity (2015) (20)
- Ergodic maps on [0, 1] and nonlinear pseudo-random number generators☆ (1978) (20)
- Correlations in DNA sequences across the three domains of life (2000) (19)
- Plotting stable manifolds: error estimates and noninvertible maps (1996) (19)
- Metamorphoses: Sudden jumps in basin boundaries (1991) (19)
- The topology of stirred fluids (1997) (19)
- Duplication count distributions in DNA sequences. (2008) (18)
- Piecewise Smooth Homotopies (1983) (18)
- Simplicial approximation of Poincaré maps of differential equations (1987) (18)
- Reconstructing the Jacobian from Data with Observational Noise (1999) (18)
- On the Fundamental Theory of Differential Equations (1969) (18)
- Correlation dimension for iterated function systems (1997) (18)
- EQUATIONS MODELLING POPULATION GROWTH, ECONOMIC GROWTH, AND GONORRHEA EPIDEMIOLOGY (1972) (17)
- The topology of fluid flow past a sequence of cylinders (1999) (17)
- Effect of Noise on Nonhyperbolic Chaotic Attractors (1998) (16)
- The inverse limits approach to chaos (2008) (16)
- Reconciling Different Infectivity Estimates for HIV-1 (2006) (16)
- A theorem on Liapunov functions using $$\ddot V$$ (1970) (16)
- When the long-time behavior is independent of the initial density (1996) (15)
- SPACES OF SOLUTIONS (1969) (15)
- Network Deconvolution (2019) (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 law of exponential decay for expanding mappings (1981) (15)
- The structure of basins of attraction and their trapping regions (1997) (15)
- Pseudocircles in dynamical systems (1994) (15)
- Equivalence of Surface Density and Average Directional Density (1984) (15)
- A period-doubling cascade precedes chaos for planar maps. (2013) (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)
- Selected topics in differential delay equations (1971) (14)
- Calculating bifurcation invariants as elements in the homotopy of the general linear group (1978) (13)
- Measuring quasiperiodicity (2015) (13)
- The Maximum Principle and Controllability of Nonlinear Equations (1972) (13)
- On the continuability of periodic orbits of parametrized three-dimensional differential equations☆ (1983) (12)
- When the Best Pandemic Models are the Simplest (2020) (12)
- 4 USE OF THE BREEDING TECHNIQUE IN THE ESTIMATION OF THE BACKGROUND COVARIANCE MATRIX FOR A QUASI-GEOSTROPHIC MODEL (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)
- Bifurcations of basins of attraction from the view point of prime ends (2007) (11)
- TWO TYPES OF HOPF BIFURCATION POINTS: SOURCES AND SINKS OF FAMILIES OF PERIODIC ORBITS * (1980) (10)
- Spurious Lyapunov Exponents Computed from Data (2007) (10)
- OUTER TANGENCY BIFURCATIONS OF CHAOTIC SETS (1998) (10)
- Lorenz cross sections of the chaotic attractor of the double rotor (1987) (10)
- Massive bifurcation of chaotic scattering (1991) (9)
- Predictability in time series (1995) (9)
- BEHAVIORAL RHYTHMS IN SCHIZOPHRENIA (1978) (9)
- Modeling non-monogamous heterosexual transmission of AIDS (1990) (9)
- Continuous avalanche mixing of granular solids in a rotating drum (1996) (9)
- Unsupervised Learning of Dense Optical Flow, Depth and Egomotion with Event-Based Sensors (2020) (9)
- Another Proof of the Liapunov Convexity Theorem (1971) (9)
- Regularity results for real analytic homotopies (1985) (9)
- Controlling chaotic fluctuations in semiconductor laser arrays (1996) (8)
- Shadowability of Chaotic Dynamical Systems (2002) (8)
- NONCONTINUABLE SOLUTIONS OF DIFFERENTIAL- DELAY EQUATIONS (1969) (8)
- Asymptotic properties of solutions using the second derivative of a Liapunov function (1966) (8)
- The Relationship between Anxiety, External Structure, Behavioral History and Becoming Locked into Restricted and Repetitive Behaviors in Autism Spectrum Disorder (2018) (8)
- The existence and nonexistence of critical points in bounded flows (1969) (8)
- Inverse Limits and Models with Backward Dynamics (2006) (8)
- Characterizing the basins with the most entangled boundaries (2003) (8)
- A local ensemble Kalman filter for the NCEP GFS model (2004) (8)
- Fractal properties of critical invariant curves (1996) (7)
- Two Models for the Study of Congested Internet Connections (2004) (7)
- A classification of explosions in dimension one (2007) (7)
- Identifying perturbations which preserve asymptotic stability (1969) (7)
- Extending Liapunov’s second method to non-lipschitz Liapunov functions (1968) (7)
- Persistent homoclinic tangencies in the He´non family (1995) (7)
- The Local Ensemble Transform Kalman Filter and its implementation on the NCEP global model at the University of Maryland (2007) (7)
- Linear perturbations of ordinary differential equations (1970) (7)
- Generalized Lorenz equations on a three-sphere (2017) (7)
- Fractal Basin Boundaries with Unique Dimension a (1987) (7)
- Low-dimensional paradigms for high-dimensional hetero-chaos. (2018) (6)
- CONTROL OF SHIPBOARD CRANES (2000) (6)
- Invariance for ordinary differential equations: Correction (1968) (6)
- The AIDS epidemic's influence on the gay contact rate from analysis of gonorrhea incidence (1989) (6)
- An extension of Chetaev’s instability theorem using invariant sets and an example (1968) (6)
- STRONGER LASOTA-YORKE INEQUALITY FOR ONE-DIMENSIONAL PIECEWISE EXPANDING TRANSFORMATIONS (2014) (6)
- Geometry of the edge of chaos in a low-dimensional turbulent shear flow model. (2015) (6)
- GENERALIZED H ´ ENON DIFFERENCE EQUATIONS WITH DELAY (2003) (6)
- Evolution of transcriptional networks in yeast: alternative teams of transcriptional factors for different species (2016) (6)
- Avoiding extremes using partial control (2015) (6)
- Invariance for Contingent Equations (1969) (6)
- Pseudocircles, diffeomorphisms and perturbable dynamical systems (1996) (6)
- Flows on S3 and R3 without periodic orbits (1983) (6)
- Dynamical System Topology Preserved in the Presence of Noise (1998) (6)
- Improving Phrap-Based Assembly of the Rat Using “Reliable” Overlaps (2008) (5)
- The cascades route to chaos (2009) (5)
- Modeling continuous mixing of granular solids in a rotating drum (1998) (5)
- Conceptualization of a Heuristic to Predict Increase in Restricted and Repetitive Behaviour in ASD across the Short to Medium Term (2017) (5)
- On minimal periods of functional-differential equations and difference inclusions (2014) (5)
- Permutations and two sequences with the same cluster set (1969) (5)
- Hopf bifurcation: The appearance of virtual periods in cases of resonance☆ (1986) (5)
- Quasiperiodicity: Rotation Numbers (2016) (5)
- Period-doubling cascades for large perturbations of Hénon families (2009) (5)
- Path following approaches for solving nonlinear equations: Homotopy, continuous newton and projection (1979) (5)
- Noise-induced chaotic-attractor escape route (2020) (4)
- Piecewise linear maps with heterogeneous chaos (2018) (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)
- Measurements of a Physical Process Satisfy a Difference Equation (2002) (4)
- Smooth dynamics on Weierstrass nowhere differentiable curves (1991) (4)
- Shadowing trajectories of dynamical systems (1991) (4)
- Differential inequalities and non-lipschitz scalar functions (1970) (4)
- Multichaos from Quasiperiodicity (2017) (4)
- Statistical periodicity of deterministic systems (1986) (4)
- Population Collapse in Elite-Dominated Societies: A Differential Equations Model without Differential Equations (2019) (4)
- Why period-doubling cascades occur: periodic orbit creation followed by stability shedding (1987) (4)
- Existence and Stability of Periodic Solutions of x′(t) = —f(x(t), x(t — 1)) (1976) (3)
- Shadowing in Chaotic Systems (1995) (3)
- Dimension Measurements from Cloud Radiance (1986) (3)
- Chaos in Differential Equations (1997) (3)
- Modeling HIV outbreaks: the male to female prevalence ratio in the core population. (2008) (3)
- The graph of the logistic map is a tower (2020) (3)
- Modeling Gonorrhea in a Population with a Core Group (1984) (3)
- Dynamics: Numerical explorations, second, revised and expanded edition, accompanied by software program Dynamics (version 2) (1998) (3)
- Solving the Babylonian problem of quasiperiodic rotation rates (2017) (2)
- Truncated development of chaotic attractors in a map when the Jacobian is not small (1984) (2)
- Analyzing Chaos: A Visual Essay in Nonlinear Dynamics (1990) (2)
- Uncertainty as to whether or not a system has a chaotic attractor (2015) (2)
- Shadowing in Higher Dimensions (2007) (2)
- Topology Proceedings MODELING A CHAOTIC MACHINE’S DYNAMICS AS A LINEAR MAP ON A “SQUARE SPHERE” (2013) (2)
- Correction: Invariance for Ordinary Differential Equations (1968) (2)
- Multi-chaos from Quasiperiodicity (2015) (2)
- Seminar on Differential Equations and Dynamical Systems, II : seminar lectures at the University of Maryland, 1969 (1970) (2)
- Local Low Dimensionality and Relation to Effects Of Targeted Weather Observations (2003) (2)
- Stable Manifolds and Crises (1997) (2)
- The AIDS epidemic's influence on New York City's gay sexual contact rate from an analysis of gonorrhea incidence (1990) (2)
- Notizen: Cloud Attractors and Time-Inverted Julia Boundaries (1986) (2)
- The ‘Simplest’ Dynamical System (1976) (2)
- Robustness of periodic orbits in the presence of noise (2015) (2)
- Stability of TCP Dynamics in Large Data Networks (2009) (2)
- 4D ensemble Kalman filtering for assimilation of asynchronous observations (2004) (2)
- Bifurcations and Chaos in a Periodically probed Computer Network (2009) (2)
- Perturbing asymptotically stable differential equations (1968) (2)
- The advantages of the simplest pandemic models (2020) (2)
- Shorter Notes: Permutations and Two Sequences with the same Cluster Set (1969) (2)
- A hierarchical network heuristic for solving the orientation problem in genome assembly (2013) (2)
- Asymptotic stability for functional differential equations (1968) (2)
- A Simple Model for Gonorrhea Dynamics (1984) (1)
- The Behavior of Oscillatory Solutions of $x''(t) + p(t)g(x(t)) = 0$ (1972) (1)
- State Reconstruction from Data (1997) (1)
- Paper 6 – Using chaos to direct trajectories to targets (1996) (1)
- The Effect of Gravity on the Deposition of Thin Films: The Physical Vapor Transport of Copper Phthalocyanine. (1994) (1)
- Robustness of solutions of almost every system of equations (2022) (1)
- Finding the rotation rate of any map from a quasiperiodic torus to a circle (2017) (1)
- Publisher's Note: Partial control of chaotic systems [Phys. Rev. E77, 055201 (2008)] (2008) (1)
- Infinite towers in the graph of a dynamical system (2021) (1)
- Finding Periodic Orbits (1994) (1)
- PERIODS OF PERIODIC SOLUTIONS AND THE (2016) (1)
- Enveloping manifolds (2004) (1)
- Chaos in Two-Dimensional Maps (1997) (1)
- TOWARD A UNIFICATION OF ORDINARY DIFFERENTIAL EQUATIONS WITH NONLINEAR SEMI-GROUP THEORY (1975) (1)
- The equations of nature and the nature of equations (2020) (1)
- Fractal Basin Boundaries in Nonlinear Dynamical Systems (1984) (1)
- Oscillatory solutions of second order ordinary differential equations (1971) (1)
- Unstable and Stable Manifolds (1994) (1)
- Liapunov functions and the existence of solutions tending to 0 (1968) (1)
- Inverse Limits and Models with Ill-Defined Forward Dynamics (2005) (1)
- On The Dynamical Basis of Targeting Weather Observations (2002) (1)
- Intermingled Basins and Riddling Bifurcation in Chaotic Dynamical Systems (1997) (1)
- Network state estimation via passive traffic monitoring (2005) (1)
- Modeling Gonorrhea in a Population Divided into Eight Groups (1984) (1)
- MODELING CONGESTED INTERNET CONNECTIONS (2004) (1)
- A Refined Model for Gonorrhea Dynamics (1984) (1)
- An open set of torus-maps conjugate to skew products (2015) (1)
- Indestructible dynamics of torus maps (2015) (1)
- ERGODIC TRANSFORMATIONS FROM AN INTERVAL INTO ITSELF 1 (2010) (1)
- Periodic Orbits and Limit Sets (1997) (1)
- Dynamics of circular oscillator arrays subjected to noise (2022) (1)
- Dimension and Lyapunov Exponents (1994) (1)
- Multi-chaos : A Low Dimensional Paradigm for High Dimensional Chaos (2015) (1)
- Using fractal to solve the multiple minima problem in molecular mechanics calculation (2000) (1)
- Cloud Attractors and Time-inverted Julia Bound-aries (1986) (1)
- Paper 1 – Controlling chaos (1996) (0)
- How good and for how long : Scaling laws on validity of trajectories (1997) (0)
- Two-Dimensional Maps (1997) (0)
- The nature of equations and the equations of nature (2020) (0)
- Chaotic n-Dimensional Euclidean and Hyperbolic Open Billiards and Chaotic Spinning Planar Billiards (2008) (0)
- N-FREQUENCY QUASIPERIODICITY AND CHAOS IN DISSIPATIVE DYNAMICAL SYSTEMS (1984) (0)
- A Chaos Lemma Author ( s ) : (2008) (0)
- Using breeding and the Bred Vector Dimension to estimate the spatial structure of the analysis (2001) (0)
- EXPERIMENTAL OBSERVATION OF CRISIS INDUCED INTERMITTENCY Lfl (0)
- Infinite towers in the graphs of many dynamical systems (2021) (0)
- Collapsing of Chaos in One Dimensional (2007) (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)
- Supplementary Material 24 (2010) (0)
- Theoretical Investigations of Chaotic Dynamics (1988) (0)
- Misbehaviour of Solutions of the Differential Equation $y'=f(x,y)+\varepsilon$ when the Right Hand Side is Discontinuous. (1970) (0)
- On the Relationship Between the Effects of Targeted Weather Observations and Local Low Dimensionalities in the Atmosphere (2001) (0)
- Pointwise Dimension and Unstable Periodic Orbits (1991) (0)
- An Obstacle to Predictability (1984) (0)
- Improving Sequence Assembly of the Rat Genome Using Reliable Overlaps and Extended Reads (2005) (0)
- Instability , Modus Ponens and Uncertainty of Deduction (2004) (0)
- Controlling Chaos 12 MARCH 1990 (2011) (0)
- Modeling Gonorrhea Transmission in a Heterosexual Population (1984) (0)
- CALCULATING BIFURCATION INV AIUANTS AS ELEMENTS IN THE HOMOTOPY OF THE GENERAL LINEAR GROUP (2001) (0)
- Improving Genome Assembly Improving Genome Assembly (2005) (0)
- Atmospheric Dynamics for Efficient Ensemble Kalman Filtering (2014) (0)
- Mathematical Go Chilling Gets the Last Point (Elwyn Berlekamp and David Wolfe) (1996) (0)
- Samples of Dynamics : Pictures You Can Make Simply (1994) (0)
- Numerical Procedures for Analyzing Dynamical Processes. (1992) (0)
- Adding Your Own Process to Dynamics (1998) (0)
- Crinkled changes of variables for maps on a circle (2020) (0)
- Editorial Board (2016) (0)
- AITRACfORS ON AN N-TORUS: QUASIPERIODICITYVERSUS CHAOS (1985) (0)
- Extinction of populations and a team of Lyapunov functions (2022) (0)
- Following Periodic Orbits (1994) (0)
- Lorenz Cross-Sections and Dimension of the Double Rotor Attractor (1986) (0)
- Are Three-Frequency Quasiyeriodic Orbits to Be Expected in Typical Nonlinear Dynamical Systems ' ? (2011) (0)
- ROTATION INTERVALS FOR CHAOTIC SETS (1998) (0)
- THE LOCAL ENSEMBLE KALMAN FILTER OF THE UNIVERSITY OF MARYLAND (2004) (0)
- The period of periodic solutions and charged particles in magnetic fields (1970) (0)
- IDENTIFYING PERTURBATIONS WHICH PRESERVE (2010) (0)
- LINEAR PERTURBATIONS OF A FAMILY OF LINEAR SYSTEMS. (1968) (0)
- Hausdorff dimension of heteroclinic intersections for some partially hyperbolic sets (2020) (0)
- Global Implications of the Implicit Function Theorem (1991) (0)
- Do numerical trajectories represent true trajectories (1987) (0)
- Hausdorff dimension of Cantor intersections for coupled horseshoe maps (2020) (0)
- Numerical Solution of Systems of Nonlinear Equations. (1982) (0)
- Three-frequency quasiperiodicity and chaos on a torus (1987) (0)
- When All Solutions of x ’ =-C 9 / ( t ) x ( t-TJt ) ) Oscillate * (0)
- Great Britain Super persistent chaotic transients (2007) (0)
- Edge states in the transition to turbulence in pipe and other shear flows (2005) (0)
- Changing the Program (1994) (0)
- The study of effects of small perturbations on chaotic systems. Progress report, January 1991--December 1991 (1991) (0)
- MAKING FORECASTS FOR CHAOTIC PROCESSES IN THE PRESENCE OF MODEL ERROR (2006) (0)
- Almost every measurement method (2003) (0)
- Global properties of solutions of almost every system of equations (2022) (0)
- Getting the Program Running (1994) (0)
- Controlling Chaos in High Dimensional Systems 14 DECEM BER 1992 (2011) (0)
- Study of effects of small perturbations on chaotic systems. [Univ. of Maryland, College Park, Maryland] (1993) (0)
- The continuous route to multi-chaos. (2018) (0)
- Quasi-periodic Orbits in Siegel Disks/Balls and the Babylonian Problem (2018) (0)
- The twisted baker map (2022) (0)
- Chaotic Models and Anomaly Detection for Complex Data Networks (2012) (0)
- LINEAR PERTURBATIONS OF ORDINARY DIFFERENTIAL EQUATIONS1 (2010) (0)
- Title of thesis: GENOME ASSEMBLY TECHNIQUES (2011) (0)
- Quasiperiodicity and Chaos (1984) (0)

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