Robert L. Devaney
#8,841
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American mathematician
Robert L. Devaney's AcademicInfluence.com Rankings
Robert L. Devaneymathematics Degrees
Mathematics
#574
World Rank
#1082
Historical Rank
#254
USA Rank
Measure Theory
#376
World Rank
#550
Historical Rank
#161
USA Rank
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Mathematics
Robert L. Devaney's Degrees
- PhD Mathematics University of California, Berkeley
- Masters Mathematics University of California, Berkeley
- Bachelors Mathematics Dartmouth College
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Why Is Robert L. Devaney Influential?
(Suggest an Edit or Addition)According to Wikipedia, Robert Luke Devaney is an American mathematician, the Feld Family Professor of Teaching Excellence at Boston University. His research involves dynamical systems and fractals. Education and career Devaney was born on April 9, 1948, and grew up in Methuen, Massachusetts.
Robert L. Devaney's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Papers
- An Introduction to Chaotic Dynamical Systems (1990) (2959)
- Differential Equations, Dynamical Systems, and an Introduction to Chaos (2003) (1306)
- Iteration of Rational Functions (1991) (818)
- A First Course In Chaotic Dynamical Systems: Theory And Experiment (1993) (418)
- Celestial mechanics. (1979) (374)
- Reversible diffeomorphisms and flows (1976) (340)
- A First Course in Chaotic Dynamical Systems (2020) (280)
- Dynamics of exp (z) (1984) (181)
- Dynamics of entire functions near the essential singularity (1986) (124)
- Homoclinic orbits in Hamiltonian systems (1976) (120)
- The escape trichotomy for singularly perturbed rational maps (2005) (116)
- Chaos and Fractals: The Mathematics Behind the Computer Graphics (1989) (111)
- Singularities in Classical Mechanical Systems (1981) (108)
- Triple collision in the planar isosceles three body problem (1980) (102)
- Chaos, fractals, and dynamics - computer experiments in mathematics (1990) (99)
- Shift automorphisms in the Hénon mapping (1979) (82)
- The Mandelbrot Set, the Farey Tree, and the Fibonacci Sequence (1999) (81)
- Dynamics of meromorphic maps : maps with polynomial schwarzian derivative (1989) (78)
- Collision orbits in the anisotropic Kepler problem (1978) (76)
- A piecewise linear model for the zones of instability of an area-preserving map (1984) (76)
- HAIRS FOR THE COMPLEX EXPONENTIAL FAMILY (1999) (64)
- Sierpinski-curve Julia sets and singular perturbations of complex polynomials (2005) (60)
- Julia sets and bifurcation diagrams for exponential maps (1984) (57)
- Uniformization of attracting basins for exponential maps (1987) (53)
- Transversal Homoclinic Orbits in an Integrable System (1978) (52)
- Complex Dynamical Systems: The Mathematics Behind the Mandelbrot and Julia Sets (1995) (51)
- The dynamics of complex polynomials and automorphisms of the shift (1991) (48)
- Singular perturbations of complex polynomials (2013) (42)
- Hyperbolicity (2021) (40)
- Structure of the McMullen domain in the parameter planes for rational maps (2005) (40)
- Dynamics of tangent (1988) (39)
- Homoclinic bifurcations and the area-conserving Henon mapping. (1984) (38)
- Bifurcations (2020) (34)
- Discrete Dynamical Systems (2013) (34)
- Knaster-like continua and complex dynamics (1993) (34)
- ez: DYNAMICS AND BIFURCATIONS (1991) (34)
- Chaotic Bursts in Nonlinear Dynamical Systems (1987) (33)
- Indecomposable continua in exponential dynamics (2002) (33)
- Subshifts of finite type in linked twist mappings (1978) (32)
- A Generalized Version of the McMullen Domain (2008) (32)
- Dynamical convergence of polynomials to the exponential (2000) (31)
- CONNECTIVITY OF JULIA SETS FOR SINGULARLY PERTURBED RATIONAL MAPS (2012) (31)
- Rational maps with generalized Sierpinski gasket Julia sets (2007) (31)
- Attractors (2019) (31)
- Blowing up Singularities in Classical Mechanical Systems (1982) (30)
- Tying hairs for structurally stable exponentials (2000) (30)
- Nonregularizability of the anisotropic Kepler problem (1978) (27)
- Indecomposable Continua and Misiurewicz Points in Exponential Dynamics (2005) (26)
- The exploding exponential and other chaotic bursts in complex dynamics (1991) (26)
- BURIED SIERPINSKI CURVE JULIA SETS (2005) (25)
- STRUCTURAL INSTABILITY OF exp(z) (1985) (25)
- Practical Numerical Algorithms for Chaotic Systems (T. S. Parker and L. O. Chua) (1990) (24)
- Dynamic classification of escape time Sierpinski curve Julia sets (2009) (24)
- The McMullen domain: rings around the boundary (2007) (23)
- Classical Mechanics and Dynamical Systems (1981) (23)
- The McMullen domain: Satellite Mandelbrot sets and Sierpinski holes (2007) (22)
- THE FRACTAL GEOMETRY OF THE MANDELBROT SET 2: HOW TO COUNT AND HOW TO ADD (1995) (22)
- Hyperbolic components of the complex exponential family (2002) (21)
- Cantor necklaces and structurally unstable Sierpinski curve Julia sets for rational maps (2004) (20)
- Accessible points in the Julia sets of stable exponentials (2001) (19)
- JULIA SETS CONVERGING TO THE UNIT DISK (2007) (19)
- Misiurewicz Points for Complex Exponentials (1997) (18)
- Sierpinski curve Julia sets for quadratic rational maps (2011) (18)
- A review of: “An introduction to chaotic dynamical systems” (1987) (18)
- Chapter 4 – Complex Exponential Dynamics (2010) (18)
- Interactive Differential Equations (1996) (18)
- Singular Perturbations of Quadratic Maps (2004) (17)
- Symbolic dynamics for a Sierpinski curve Julia set (2005) (17)
- Fractal patterns arising in chaotic dynamical systems (1988) (17)
- Sierpinski Carpets and Gaskets as Julia sets of Rational Maps (2006) (16)
- The baker transformation and a mapping associated to the restricted three body problem (1981) (16)
- Sex: Dynamics, topology, and bifurcations of complex exponentials (2001) (15)
- Linked twist mappings are almost anosov (1980) (15)
- A MYRIAD OF SIERPINSKI CURVE JULIA SETS (2007) (15)
- The Dynamics of a Piecewise Linear Map and its Smooth Approximation (1997) (14)
- Limiting Julia Sets for singularly perturbed Rational Maps (2008) (14)
- The Factorial Validity of the Cornell Critical Thinking Test for a Junior High School Sample (1980) (14)
- Dynamics of entire maps (1989) (14)
- Cantor bouquets, explosions, and Knaster continua (1999) (13)
- Intertwined internal rays in Julia sets of rational maps (2009) (13)
- The Lorenz System (2013) (12)
- Checkerboard Julia Sets for Rational Maps (2011) (12)
- Film and video as a tool in mathematical research (1989) (12)
- GEOMETRY OF THE ANTENNAS IN THE MANDELBROT SET (2002) (12)
- Bursts into chaos (1984) (11)
- Rational Maps (2021) (11)
- Structural stability of homothetic solutions of the collinearn-body problem (1979) (11)
- The Mandelbrot Set, Theme and Variations: Baby Mandelbrot sets are born in cauliflowers (2000) (11)
- First-Order Equations (2013) (11)
- Transcendental Dynamics and Complex Analysis: Singular perturbations of zn (2008) (10)
- CANTOR BOUQUETS, EXPLOSIONS, AND KNASTER CONTINUA: DYNAMICS OF COMPLEX EXPONENTIALS (2000) (10)
- Singular Perturbations of Complex Analytic Dynamical Systems (2010) (10)
- Structural instability of () (1985) (10)
- Fractals : a tool kit of dynamics activities (1999) (9)
- Evolution of the McMullen Domain for Singularly Perturbed Rational Maps (2008) (9)
- Cantor and Sierpinski , Julia and Fatou : Complex Topology Meets Complex Dynamics (2003) (9)
- Julia sets converging to filled quadratic Julia sets (2012) (9)
- HOMOCLINIC ORBITS TO HYPERBOLIC EQUILIBRIA * (1979) (9)
- Fractal Patterns and Chaos Games. (2004) (9)
- Complex dynamics : twenty-five years after the appearance of the Mandelbrot set : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Complex Dynamics : Twenty-five Years after the Appearance of the Mandelbrot Set, June 13-17, 2004, Snowbird, Utah (2005) (8)
- The Rabbit and Other Julia Sets Wrapped in Sierpi_ski Carpets (2009) (8)
- The Orbit Diagram and the Mandelbrot Set (1991) (8)
- Extending external rays throughout the Julia sets of rational maps (2010) (7)
- Chaos Rules! (2004) (7)
- Complex Dynamics and Symbolic Dynamics (2001) (7)
- Complex Dynamics and Symbolic Dynamics (2001) (7)
- EXPLODING JULIA SETS (1986) (6)
- A Cantor-Mandelbrot-Sierpinski tree in the parameter plane for rational maps (2013) (6)
- Cantor sets of circles of Sierpiński curve Julia sets (2007) (6)
- Motion near total collapse in the planar isosceles three-body problem (1982) (6)
- Dynamics of maps with constant Schwarzian derivative (1988) (6)
- Morse-Smale singularities in simple mechanical systems (1980) (6)
- A Semilinear Model for Exponential Dynamics and Topology (2001) (6)
- The Mandelbrot Set (2018) (5)
- Playing Catch-Up with Iterated Exponentials (2004) (5)
- Rabbits , Basilicas , and Other Julia Sets Wrapped in Sierpinski Carpets (2008) (5)
- Problems in holomorphic dynamics (1992) (5)
- A Mandelpinski maze for rational maps of the form zn+λ/zd (2016) (5)
- Genealogy of periodic points of maps of the interval (1981) (5)
- Chaos, fractals and dynamics (videotape): computer experiments in mathematics (1989) (5)
- Mandelpinski spokes in the parameter planes of rational maps (2016) (4)
- Dynamics , topology , and bifurcations of complex exponentials (2000) (4)
- Chaos in the Classroom (2012) (4)
- Graphical Analysis (2020) (4)
- The Mandelbrot and Julia Sets: A Tool Kit of Dynamics Activities (2000) (4)
- The Complex Geometry of the Mandelbrot Set (2014) (4)
- Fractals, Wavelets, and their Applications (2014) (3)
- Chaos: A Tool Kit of Dynamics Activities (2000) (3)
- Measure, Topology, and Fractal Geometry (Gerald A. Edgar) (1991) (3)
- Limiting behavior of Julia sets of singularly perturbed rational maps (2014) (3)
- Iteration: A Tool Kit of Dynamics Activities (1999) (3)
- Transverse heteroclinic orbits in the Anisotropic Kepler Problem (1978) (3)
- Singular Perturbations in the McMullen Domain (2008) (3)
- A Survey of Exponential Dynamics (2004) (3)
- Discrete Dynamical Systems: A Pathway for Students to Become Enchanted with Mathematics (2018) (3)
- Existence and Uniqueness Revisited (2013) (2)
- Complex Analytic Dynamics (2018) (2)
- Accessible Mandelbrot Sets in the Family $$ z^n + \lambda /z^n$$zn+λ/zn (2015) (2)
- The complex standard family (1995) (2)
- Rational Iteration: Complex Analytic Dynamical Systems (Norbert Steinmetz); Complex Dynamics (Lennart Carleson and Theodore W. Gamelin) (1994) (2)
- The dynamics of newton's method on the exponential function in the complex plane (1992) (2)
- Interactive Differential Equations. By Beverly West, Steven Strogatz, Jean Marie McDill, and John Cantwell; software designer Hubert Hohn (1998) (2)
- Singular perturbations of complex polynomials and circle inversion maps (2005) (2)
- Transition to chaos : the orbit diagram and the Mandelbrot set (1991) (2)
- Review: Stephen Wiggins, Global bifurcation and chaos: analytical methods (1989) (1)
- Closed Orbits and Limit Sets (2013) (1)
- A dynamical invariant for Sierpiński cardioid Julia sets (2014) (1)
- Fractals: An Animated Discussion with Edward Lorenz and Benoit Mandelbrot (1992) (1)
- One-Dimensional Dynamics (2018) (1)
- Iteration of Rational Functions By Alan F.Beardon (1993) (1)
- Phase Portraits for Planar Systems (2013) (1)
- Parameter Planes for Complex Analytic Maps (2014) (1)
- Fractals (2020) (0)
- Orbits (2020) (0)
- Chaotic Bursts in Complex Dynamical Systems (1993) (0)
- Higher Dimensional Dynamics (2018) (0)
- Elementary Definitions (2021) (0)
- Conformal Dynamics and Hyperbolic Geometry (2012) (0)
- Classification of Planar Systems (2013) (0)
- Dynamical invariants and parameter space structures for rational maps (2014) (0)
- Another View of Period Three (2021) (0)
- Topology Proceedings (2008) (0)
- Other Complex Dynamical Systems (2020) (0)
- Homoclinic points in complex dynamical systems (2001) (0)
- Hyperbolic Toral Automorphisms (2021) (0)
- The Smale Horseshoe Map (2021) (0)
- Applications in Circuit Theory (2013) (0)
- The Hénon Map (2021) (0)
- Properties of the Julia Set (2021) (0)
- The Geometry of the Julia Sets (2021) (0)
- A Mathematical and Historical Tour (2018) (0)
- The Period-Doubling Route to Chaos (2021) (0)
- Complex Functions (2020) (0)
- Examples of Dynamical Systems (2018) (0)
- Book review (1993) (0)
- Exotic topology in complex dynamics (2016) (0)
- Neutral Periodic Points (2021) (0)
- The eleventh annual Young Mathematicians Conference Advisory Board (2014) (0)
- Fixed and Periodic Points (2018) (0)
- The Exponential Family (2021) (0)
- The Schwarzian Derivative (2021) (0)
- Chaos, Games and Fractal Geometry (1998) (0)
- Role of the Critical Point (2020) (0)
- Sharkovsky's Theorem (2020) (0)
- Global Nonlinear Techniques (2013) (0)
- Transition to Chaos (2018) (0)
- Planar Linear Systems (2013) (0)
- Higher-Dimensional Linear Algebra (2013) (0)
- An Example: The Logistic Family (2021) (0)
- Periodic Points (2021) (0)
- Fractals, Wavelets, and their Applications : Contributions from the International Conference and Workshop on Fractals and Wavelets (2014) (0)
- Conformal dynamics and hyperbolic geometry : conference on conformal dynamics and hyperbolic geometry in honor of Linda Keen's 70th birthday, Graduate School and University Center of CUNY, New York, NY, October 21-23, 2010 (2012) (0)
- Homoclinic Points and Bifurcations (2021) (0)
- The Julia Set (2018) (0)
- Licensed to : CengageBrain User Licensed to : CengageBrain User Printed in the United States of America (2012) (0)
- Maps of the Circle (2021) (0)
- The complex dynamics of rational maps (2009) (0)
- Special Issue on Dynamical Systems (1991) (0)
- The Beauty of Fractals: Chaos, Fractals, and Tom Stoppard's Arcadia (2011) (0)
- Normal Families and Exceptional Points (2021) (0)
- Global Results and Hyperbolic Maps (2021) (0)
- Equilibria in Nonlinear Systems (2013) (0)
- Applications in Biology (2013) (0)
- Morse-Smale Diffeomorphisms (2021) (0)
- Officers and Committee Members (1959) (0)
- Dynamics of Linear Maps (2021) (0)
- Topological Conjugacy (2021) (0)
- Sarkovskii’s Theorem (2018) (0)
- The Stable and Unstable Manifold Theorem (2021) (0)
- A Visual and Historical Tour (2020) (0)
- Newton's Method (2020) (0)
- Quadratic Maps Revisited (2021) (0)
- The Role of the Critical Orbit (2018) (0)
- Chaos (2020) (0)
- Open problems in complex dynamics and “complex” topology (2007) (0)
- Mathematical Discoveries: Celestial Encounters. (1996) (0)
- The Hopf Bifurcation (2021) (0)
- Chaos theory. (1993) (0)
- Structural Stability (2021) (0)
- Higher-Dimensional Linear Systems (2013) (0)
- Chaos Theory. (Book Reviews: The General Problem of the Stability of Motion.; Nonlinearities in Action. Oscillations, Chaos, Order, Fractals.) (1993) (0)
- Putting Chaos into Calculus Courses (1992) (0)
- Applications in Mechanics (2013) (0)
- Simple Mandelpinski Necklaces for z^2 + \lambda /z^2 (2012) (0)
- Symbolic Dynamics (2020) (0)
- The Quadratic Family (2018) (0)
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