Edit Profile (opens in new tab) Devaney, Robert L. Co-Author Distance Author ID: devaney.robert-l Published as: Devaney, Robert L.; Devaney, R. L.; Devaney, Robert; Devaney, R. more...less Homepage: http://math.bu.edu/people/bob/ External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef Documents Indexed: 121 Publications since 1976, including 13 Books 7 Contributions as Editor · 1 Further Contribution Reviewing Activity: 2 Reviews Co-Authors: 52 Co-Authors with 57 Joint Publications 927 Co-Co-Authors all top 5 Co-Authors 71 single-authored 9 Blanchard, Paul R. 8 Look, Daniel M. 8 Moreno Rocha, Mónica 7 Keen, Linda 5 Jarque, Xavier 4 Cuzzocreo, Daniel 4 Garijo, Antonio 4 Marotta, Sebastian M. 4 Russell, Elizabeth D. 4 Uminsky, David T. 3 Barnsley, Michael Fielding 3 Goldberg, Lisa Robin 3 Josić, Krešimir 3 Seal, Pradipta 3 Shapiro, Yakov 2 Bhattacharjee, Ranjit R. 2 Bodelón, Clara 2 Çilingir, Figen 2 Fagella, Núria 2 Fitzgibbon, Elizabeth 2 Hirsch, Morris W. 2 Holzer, Matt 2 Hubbard, John Hamal 2 Kumar, P. B. Vinod 2 Nitecki, Zbigniew H. 2 Siegmund, Stefan 2 Smale, Steve 1 Aharonov, Dov 1 Alligood, Kathleen T. 1 Bandt, Christoph 1 Bonahon, Francis 1 Branner, Bodil 1 Buff, Xavier 1 Chan, Kit Chak 1 Deville, R. E. Lee 1 Douady, Adrien 1 Durkin, Marilyn B. 1 Elias, Uri 1 Falconer, Kenneth J. 1 Fisher, Yuval 1 Frumosu, A. T. 1 Gardiner, Frederick P. 1 Harrison, Jenny C. 1 Holmes, Philip J. 1 Kannan, V. 1 Kozma, Robert Thijs 1 Krych, Michal 1 Mandelbrot, Benoit B. 1 McGuire, Michael 1 Morabito, Mark 1 Peitgen, Heinz-Otto 1 Pilgrim, Kevin M. 1 Šarić, Dragomir 1 Saupe, Dietmar 1 Sentenac, Pierrette 1 Silvestri, Stefano 1 Tangerman, Folkert M. 1 Voss, Richard F. 1 Yorke, James Alan all top 5 Serials 9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 Ergodic Theory and Dynamical Systems 5 Fundamenta Mathematicae 4 American Mathematical Monthly 4 Transactions of the American Mathematical Society 4 Topology Proceedings 3 Inventiones Mathematicae 3 Journal of Differential Equations 3 Proceedings of the American Mathematical Society 3 Journal of Difference Equations and Applications 2 Communications in Mathematical Physics 2 Indiana University Mathematics Journal 2 Topology and its Applications 2 Celestial Mechanics 2 Bulletin of the American Mathematical Society. New Series 2 Indagationes Mathematicae. New Series 2 Fractals 2 Conformal Geometry and Dynamics 2 Qualitative Theory of Dynamical Systems 2 Contemporary Mathematics 2 Proceedings of Symposia in Applied Mathematics 2 Springer Proceedings in Mathematics & Statistics 1 The Mathematical Intelligencer 1 American Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Duke Mathematical Journal 1 Journal of Differential Geometry 1 Physica D 1 Publicacions Matemàtiques 1 Notices of the American Mathematical Society 1 Discrete and Continuous Dynamical Systems 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Discrete and Continuous Dynamical Systems. Series B 1 Lecture Notes in Pure and Applied Mathematics 1 Pure and Applied Mathematics (Amsterdam) 1 Journal of Fixed Point Theory and Applications 1 Science all top 5 Fields 120 Dynamical systems and ergodic theory (37-XX) 35 Functions of a complex variable (30-XX) 13 Mechanics of particles and systems (70-XX) 12 General topology (54-XX) 11 Measure and integration (28-XX) 9 General and overarching topics; collections (00-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Real functions (26-XX) 3 Manifolds and cell complexes (57-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Computer science (68-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 110 Publications have been cited 3,052 times in 2,351 Documents Cited by ▼ Year ▼ An introduction to chaotic dynamical systems. 2nd ed. Zbl 0695.58002Devaney, Robert L. 820 1989 An introduction to chaotic dynamical systems. Zbl 0632.58005Devaney, Robert L. 212 1986 Differential equations, dynamical systems, and an introduction to chaos. 2nd ed. Zbl 1135.37002Hirsch, Morris W.; Smale, Stephen; Devaney, Robert L. 163 2004 An introduction to chaotic dynamical systems. Reprint of the 2nd (1989) ed. Zbl 1025.37001Devaney, Robert L. 163 2003 Reversible diffeomorphisms and flows. Zbl 0363.58003Devaney, Robert L. 107 1976 A first course in chaotic dynamical systems. Theory and experiment. Zbl 0768.58001Devaney, Robert L. 105 1992 Shift automorphisms in the Henon mapping. Zbl 0414.58028Devaney, R.; Nitecki, Zbigniew 87 1979 Differential equations, dynamical systems, and an introduction to chaos. 3rd ed. Zbl 1239.37001Hirsch, Morris W.; Smale, Stephen; Devaney, Robert L. 86 2013 Dynamics of exp(z). Zbl 0567.58025Devaney, Robert L.; Krych, Michal 83 1984 Homoclinic orbits in Hamiltonian systems. Zbl 0343.58005Devaney, Robert L. 73 1976 The escape trichotomy for singularly perturbed rational maps. Zbl 1087.37043Devaney, Robert L.; Look, Daniel M.; Uminsky, David 72 2005 Blue sky catastrophes in reversible and Hamiltonian systems. Zbl 0362.58006Devaney, Robert L. 59 1977 Dynamics of entire functions near the essential singularity. Zbl 0612.58020Devaney, Robert L.; Tangerman, Folkert 46 1986 Sierpinski-curve Julia sets and singular perturbations of complex polynomials. Zbl 1098.37043Blanchard, Paul; Devaney, Robert L.; Look, Daniel M.; Seal, Pradipta; Shapiro, Yakov 38 2005 Triple collision in the planar isosceles three body problem. Zbl 0438.58014Devaney, Robert L. 34 1980 Collision orbits in the anisotropic Kepler problem. Zbl 0382.58015Devaney, Robert L. 31 1978 Hairs for the complex exponential family. Zbl 1192.37061Bodelón, Clara; Devaney, Robert L.; Hayes, Michael; Roberts, Gareth; Goldberg, Lisa R.; Hubbard, John H. 30 1999 The Mandelbrot set, the Farey tree, and the Fibonacci sequence. Zbl 1076.37512Devaney, Robert L. 29 1999 Chaotic bursts in nonlinear dynamical systems. Zbl 1226.37030Devaney, Robert L. 27 1987 A piecewise linear model for the zones of instability of an area- preserving map. Zbl 0588.58009Devaney, Robert L. 25 1984 Structure of the McMullen domain in the parameter planes for rational maps. Zbl 1093.37016Devaney, Robert L. 23 2005 The science of fractal images. With contributions by Yuval Fisher and Michael McGuire. Ed. by Heinz-Otto Peitgen and Dietmar Saupe. (Based on notes for the course fractals - introduction, basics and pespectives given as part of the SIG-GRAPH ’87, Anaheim, Calif. course program). Zbl 0683.58003Barnsley, Michael F.; Devaney, Robert L.; Mandelbrot, Benoit B.; Peitgen, Heinz-Otto; Saupe, Dietmar; Voss, Richard 23 1988 Dynamics of meromorphic maps: Maps with polynomial Schwarzian derivative. Zbl 0666.30017Devaney, Robert L.; Keen, Linda 22 1989 Transversal homoclinic orbits in an integrable system. Zbl 0406.58019Devaney, Robert L. 22 1978 Homoclinic bifurcations and the area-conserving Henon mapping. Zbl 0527.58029Devaney, Robert L. 22 1984 Julia sets and bifurcation diagrams for exponential maps. Zbl 0542.58021Devaney, Robert L. 21 1984 Singular perturbations of complex polynomials. Zbl 1277.37074Devaney, Robert L. 21 2013 The dynamics of complex polynomials and automorphisms of the shift. Zbl 0729.58025Blanchard, Paul; Devaney, Robert L.; Keen, Linda 20 1991 A criterion for Sierpiński curve Julia sets. Zbl 1138.37027Devaney, Robert L.; Look, Daniel M. 20 2006 A generalized version of the McMullen domain. Zbl 1165.37321Blanchard, Paul; Devaney, Robert L.; Garijo, Antonio; Russell, Elizabeth D. 20 2008 Subshifts of finite type in linked twist mappings. Zbl 0392.58005Devaney, Robert L. 19 1978 Uniformization of attracting basins for exponential maps. Zbl 0621.30024Devaney, Robert L.; Goldberg, Lisa R. 17 1987 Blowing up singularities in classical mechanical systems. Zbl 0501.70019Devaney, Robert L. 16 1982 Buried Sierpinski curve Julia sets. Zbl 1106.37031Devaney, Robert L.; Look, Daniel M. 15 2005 Rational maps with generalized Sierpinski gasket Julia sets. Zbl 1104.37032Devaney, Robert L.; Rocha, Mónica Moreno; Siegmund, Stefan 15 2007 The McMullen domain: rings around the boundary. Zbl 1109.37038Devaney, Robert L.; Marotta, Sebastian M. 15 2007 Singularities in classical mechanical systems. Zbl 0467.70016Devaney, Robert L. 15 1981 \(e^ z\): Dynamics and bifurcations. Zbl 0874.58066Devaney, Robert L. 14 1991 The exploding exponential and chaotic bursts in complex dynamics. Zbl 0742.30025Devaney, Robert L.; Durkin, Marilyn B. 14 1991 Baby Mandelbrot sets adorned with halos in families of rational maps. Zbl 1207.37033Devaney, Robert L. 14 2006 The McMullen domain: Satellite Mandelbrot sets and Sierpinski holes. Zbl 1162.37021Devaney, Robert L. 14 2007 Indecomposable continua in exponential dynamics. Zbl 1062.37035Devaney, Robert L.; Jarque, Xavier 14 2002 Structural instability of exp(z). Zbl 0575.58027Devaney, Robert L. 14 1985 Knaster-like continua and complex dynamics. Zbl 0798.58041Devaney, Robert L. 13 1993 Julia sets converging to the unit disk. Zbl 1128.37029Devaney, Robert L.; Garijo, Antonio 13 2008 Dynamic classification of escape time Sierpiński curve Julia sets. Zbl 1160.37362Devaney, Robert L.; Pilgrim, Kevin M. 13 2009 Chaos, fractals, and dynamics. Computer experiments in mathematics. Zbl 0746.58003Devaney, Robert L. 12 1990 Cantor necklaces and structurally unstable Sierpinski curve Julia sets for rational maps. Zbl 1122.37033Devaney, Robert L. 12 2004 Dynamical convergence of polynomials to the exponential. Zbl 0976.37022Bodelón, Clara; Devaney, Robert L.; Hayes, Michael; Roberts, Gareth; Goldberg, Lisa R.; Hubbard, John H. 11 2000 Indecomposable continua and Misiurewicz points in exponential dynamics. Zbl 1093.37506Devaney, Robert L.; Jarque, Xavier; Rocha, Mónica Moreno 10 2005 Sierpiński curve Julia sets for quadratic rational maps. Zbl 1317.37049Devaney, Robert L.; Fagella, Núria; Garijo, Antonio; Jarque, Xavier 10 2014 The dynamics of a piecewise linear map and its smooth approximation. Zbl 0886.58073Aharonov, D.; Devaney, R. L.; Elias, U. 9 1997 Misiurewicz points for complex exponentials. Zbl 0899.58052Devaney, Robert L.; Jarque, Xavier 9 1997 The fractal geometry of the Mandelbrot set. II: How to count and how to add. Zbl 0929.37016Devaney, Robert L. 8 1995 Complex exponential dynamics. Zbl 1255.37001Devaney, Robert L. 8 2010 Limiting Julia sets for singularly perturbed rational maps. Zbl 1165.37324Morabito, Mark; Devaney, Robert L. 8 2008 Tying hairs for structurally stable exponentials. Zbl 0992.37040Bhattacharjee, Ranjit; Devaney, Robert L. 8 2000 Non regularizability of the anisotropic Kepler problem. Zbl 0351.58003Devaney, Robert L. 7 1978 Cantor bouquets, explosions, and Knaster continua: Dynamics of complex exponentials. Zbl 0939.37028Devaney, Robert L. 7 1999 Complex dynamical systems. The mathematics behind the Mandelbrot and Julia sets. Lecture notes prepared for the American Mathematical Society short course, held in Cincinnati, OH, USA, January 10-11, 1994. Zbl 0809.00024 7 1994 Sierpinski carpets and gaskets as Julia sets of rational maps. Zbl 1173.37046Blanchard, Paul; Devaney, Robert L.; Look, Daniel M.; Moreno Rocha, Monica; Seal, Pradipta; Siegmund, Stefan; Uminsky, David 6 2006 Symbolic dynamics for a Sierpinski curve Julia set. Zbl 1074.37027Devaney, Robert L.; Look, Daniel M. 6 2005 Geometry of the antennas in the Mandelbrot set. Zbl 1072.37506Devaney, R. L.; Moreno Rocha, M. 6 2002 Mandelpinski spokes in the parameter planes of rational maps. Zbl 1336.37035Devaney, Robert L. 6 2016 Structural stability of homothetic solutions of the collinear n-body problem. Zbl 0411.70006Devaney, Robert L. 6 1979 Intertwined internal rays in Julia sets of rational maps. Zbl 1187.37067Devaney, Robert L. 6 2009 Hyperbolic components of the complex exponential family. Zbl 1099.30011Devaney, Robert L.; Fagella, Núria; Jarque, Xavier 6 2002 Checkerboard Julia sets for rational maps. Zbl 1270.37033Blanchard, Paul; Çilingir, Figen; Cuzzocreo, Daniel; Devaney, Robert L.; Look, Daniel M.; Russell, Elizabeth D. 6 2013 An introduction to chaotic dynamical systems. 3rd edition. Zbl 1476.37001Devaney, Robert L. 6 2022 Singular perturbations of quadratic maps. Zbl 1099.37036Devaney, Robert L.; Josić, Krešimir; Shapiro, Yakov 5 2004 Baby Mandelbrot sets are born in cauliflowers. Zbl 1107.37303Douady, Adrien; Buff, Xavier; Devaney, Robert L.; Sentenac, Pierrette 5 2000 Motion near total collapse in the planar isosceles three-body problem. Zbl 0507.70006Devaney, Robert L. 5 1982 Accessible points in the Julia sets of stable exponentials. Zbl 1093.37015Bhattacharjee, Ranjit; Devaney, Robert L.; Deville, R. E. Lee; Josić, Krešimir; Moreno-Rocha, Monica 5 2001 The Baker transformation and a mapping associated to the restricted three body problem. Zbl 0463.28012Devaney, Robert L. 5 1981 Dynamics of \(z^n + \lambda/z^n\); why the case \(n = 2\) is crazy. Zbl 1333.37022Devaney, Robert L. 5 2012 Dynamics of entire maps. Zbl 0708.30026Devaney, R. L. 5 1990 Dynamics of tangent. Zbl 0662.30019Devaney, Robert L.; Keen, Linda 5 1988 Extending external rays throughout the Julia sets of rational maps. Zbl 1205.37056Çilingir, Figen; Devaney, Robert L.; Russell, Elizabeth D. 5 2010 A Mandelpinski maze for rational maps of the form \(z^n + \lambda / z^d\). Zbl 1358.37085Devaney, Robert L. 5 2016 A first course in chaotic dynamical systems. Theory and experiment. 2nd edition. Zbl 1435.37001Devaney, Robert L. 5 2020 Singular perturbations of \(z^n\). Zbl 1170.30009Devaney, Robert L.; Holzer, Matt; Look, Daniel M.; Moreno Rocha, Mónica; Uminsky, David 4 2008 Cantor and Sierpinski, Julia and Fatou: complex topology meets complex dynamics. Zbl 1161.37328Devaney, Robert L. 4 2004 Complex dynamics. Twenty-five years after the appearance of the Mandelbrot set. Proceedings of an AMS-IMS-SIAM joint summer research conference, Snowbird, UT, USA, June 13–17, 2004. Zbl 1084.37002 4 2006 The complex dynamics of quadratic polynomials. Zbl 0820.58032Devaney, Robert L. 4 1994 The rabbit and other Julia sets wrapped in Sierpiński carpets. Zbl 1180.37070Blanchard, Paul; Devaney, Robert L.; Garijo, Antonio; Marotta, Sebastian M.; Russell, Elizabeth D. 4 2009 \(Se^x\): dynamics, topology, and bifurcations of complex exponentials. Zbl 0996.37057Devaney, Robert L. 4 2001 A Cantor-Mandelbrot-Sierpiński tree in the parameter plane for rational maps. Zbl 1301.37030Devaney, Robert L. 4 2014 Julia sets converging to filled quadratic Julia sets. Zbl 1291.37061Kozma, Robert T.; Devaney, Robert L. 4 2014 Simple Mandelpinski necklaces for \(z^2 + \lambda /z^2\). Zbl 1356.37064Cuzzocreo, Daniel; Devaney, Robert L. 4 2016 Mandelpinski structures in the parameter planes of rational maps. Zbl 1362.37089Devaney, Robert L. 4 2016 Chaos and fractals. The mathematics behind the computer graphics. (Lectures delivered in the AMS short course on August 6-7, 1988, given in conjunction with the AMS centennial meeting in Procidence, RI). Zbl 0677.58004 3 1989 Cantor webs in the parameter and dynamical planes of rational maps. Zbl 1154.37347Devaney, Robert L. 3 2008 Morse-Smale singularities in simple mechanical systems. Zbl 0463.58013Devaney, Robert L. 3 1980 Cantor sets of circles of Sierpiński curve Julia sets. Zbl 1131.37049Devaney, Robert L. 3 2007 Complex dynamics and entire functions. Zbl 0820.58031Devaney, Robert L. 3 1994 Complex dynamics and symbolic dynamics. Zbl 1073.37010Blanchard, Paul; Devaney, Robert L.; Keen, Linda 2 2004 Accessible Mandelbrot sets in the family \(z^n + \lambda /z^n\). Zbl 1338.37057Blanchard, Paul; Cuzzocreo, Daniel; Devaney, Robert L.; Fitzgibbon, Elizabeth 2 2016 Blowup points and baby Mandelbrot sets for singularly perturbed rational maps. Zbl 1207.37034Devaney, Robert L.; Holzer, Matt; Uminsky, David 2 2006 Linked twist mappings are almost Anosov. Zbl 0448.58018Devaney, Robert L. 2 1980 A myriad of Sierpiński curve Julia sets. Zbl 1133.28003Devaney, Robert L. 2 2007 An introduction to chaotic dynamical systems. 3rd edition. Zbl 1476.37001Devaney, Robert L. 6 2022 A first course in chaotic dynamical systems. Theory and experiment. 2nd edition. Zbl 1435.37001Devaney, Robert L. 5 2020 Mandelpinski spokes in the parameter planes of rational maps. Zbl 1336.37035Devaney, Robert L. 6 2016 A Mandelpinski maze for rational maps of the form \(z^n + \lambda / z^d\). Zbl 1358.37085Devaney, Robert L. 5 2016 Simple Mandelpinski necklaces for \(z^2 + \lambda /z^2\). Zbl 1356.37064Cuzzocreo, Daniel; Devaney, Robert L. 4 2016 Mandelpinski structures in the parameter planes of rational maps. Zbl 1362.37089Devaney, Robert L. 4 2016 Accessible Mandelbrot sets in the family \(z^n + \lambda /z^n\). Zbl 1338.37057Blanchard, Paul; Cuzzocreo, Daniel; Devaney, Robert L.; Fitzgibbon, Elizabeth 2 2016 Sierpiński curve Julia sets for quadratic rational maps. Zbl 1317.37049Devaney, Robert L.; Fagella, Núria; Garijo, Antonio; Jarque, Xavier 10 2014 A Cantor-Mandelbrot-Sierpiński tree in the parameter plane for rational maps. Zbl 1301.37030Devaney, Robert L. 4 2014 Julia sets converging to filled quadratic Julia sets. Zbl 1291.37061Kozma, Robert T.; Devaney, Robert L. 4 2014 Differential equations, dynamical systems, and an introduction to chaos. 3rd ed. Zbl 1239.37001Hirsch, Morris W.; Smale, Stephen; Devaney, Robert L. 86 2013 Singular perturbations of complex polynomials. Zbl 1277.37074Devaney, Robert L. 21 2013 Checkerboard Julia sets for rational maps. Zbl 1270.37033Blanchard, Paul; Çilingir, Figen; Cuzzocreo, Daniel; Devaney, Robert L.; Look, Daniel M.; Russell, Elizabeth D. 6 2013 Dynamics of \(z^n + \lambda/z^n\); why the case \(n = 2\) is crazy. Zbl 1333.37022Devaney, Robert L. 5 2012 Complex exponential dynamics. Zbl 1255.37001Devaney, Robert L. 8 2010 Extending external rays throughout the Julia sets of rational maps. Zbl 1205.37056Çilingir, Figen; Devaney, Robert L.; Russell, Elizabeth D. 5 2010 Singular perturbations of complex analytic dynamical systems. Zbl 1215.37035Devaney, Robert L. 2 2010 Dynamic classification of escape time Sierpiński curve Julia sets. Zbl 1160.37362Devaney, Robert L.; Pilgrim, Kevin M. 13 2009 Intertwined internal rays in Julia sets of rational maps. Zbl 1187.37067Devaney, Robert L. 6 2009 The rabbit and other Julia sets wrapped in Sierpiński carpets. Zbl 1180.37070Blanchard, Paul; Devaney, Robert L.; Garijo, Antonio; Marotta, Sebastian M.; Russell, Elizabeth D. 4 2009 A generalized version of the McMullen domain. Zbl 1165.37321Blanchard, Paul; Devaney, Robert L.; Garijo, Antonio; Russell, Elizabeth D. 20 2008 Julia sets converging to the unit disk. Zbl 1128.37029Devaney, Robert L.; Garijo, Antonio 13 2008 Limiting Julia sets for singularly perturbed rational maps. Zbl 1165.37324Morabito, Mark; Devaney, Robert L. 8 2008 Singular perturbations of \(z^n\). Zbl 1170.30009Devaney, Robert L.; Holzer, Matt; Look, Daniel M.; Moreno Rocha, Mónica; Uminsky, David 4 2008 Cantor webs in the parameter and dynamical planes of rational maps. Zbl 1154.37347Devaney, Robert L. 3 2008 Evolution of the McMullen domain for singularly perturbed rational maps. Zbl 1156.37010Devaney, Robert L.; Marotta, Sebastian M. 2 2008 Rational maps with generalized Sierpinski gasket Julia sets. Zbl 1104.37032Devaney, Robert L.; Rocha, Mónica Moreno; Siegmund, Stefan 15 2007 The McMullen domain: rings around the boundary. Zbl 1109.37038Devaney, Robert L.; Marotta, Sebastian M. 15 2007 The McMullen domain: Satellite Mandelbrot sets and Sierpinski holes. Zbl 1162.37021Devaney, Robert L. 14 2007 Cantor sets of circles of Sierpiński curve Julia sets. Zbl 1131.37049Devaney, Robert L. 3 2007 A myriad of Sierpiński curve Julia sets. Zbl 1133.28003Devaney, Robert L. 2 2007 A criterion for Sierpiński curve Julia sets. Zbl 1138.37027Devaney, Robert L.; Look, Daniel M. 20 2006 Baby Mandelbrot sets adorned with halos in families of rational maps. Zbl 1207.37033Devaney, Robert L. 14 2006 Sierpinski carpets and gaskets as Julia sets of rational maps. Zbl 1173.37046Blanchard, Paul; Devaney, Robert L.; Look, Daniel M.; Moreno Rocha, Monica; Seal, Pradipta; Siegmund, Stefan; Uminsky, David 6 2006 Complex dynamics. Twenty-five years after the appearance of the Mandelbrot set. Proceedings of an AMS-IMS-SIAM joint summer research conference, Snowbird, UT, USA, June 13–17, 2004. Zbl 1084.37002 4 2006 Blowup points and baby Mandelbrot sets for singularly perturbed rational maps. Zbl 1207.37034Devaney, Robert L.; Holzer, Matt; Uminsky, David 2 2006 The escape trichotomy for singularly perturbed rational maps. Zbl 1087.37043Devaney, Robert L.; Look, Daniel M.; Uminsky, David 72 2005 Sierpinski-curve Julia sets and singular perturbations of complex polynomials. Zbl 1098.37043Blanchard, Paul; Devaney, Robert L.; Look, Daniel M.; Seal, Pradipta; Shapiro, Yakov 38 2005 Structure of the McMullen domain in the parameter planes for rational maps. Zbl 1093.37016Devaney, Robert L. 23 2005 Buried Sierpinski curve Julia sets. Zbl 1106.37031Devaney, Robert L.; Look, Daniel M. 15 2005 Indecomposable continua and Misiurewicz points in exponential dynamics. Zbl 1093.37506Devaney, Robert L.; Jarque, Xavier; Rocha, Mónica Moreno 10 2005 Symbolic dynamics for a Sierpinski curve Julia set. Zbl 1074.37027Devaney, Robert L.; Look, Daniel M. 6 2005 Differential equations, dynamical systems, and an introduction to chaos. 2nd ed. Zbl 1135.37002Hirsch, Morris W.; Smale, Stephen; Devaney, Robert L. 163 2004 Cantor necklaces and structurally unstable Sierpinski curve Julia sets for rational maps. Zbl 1122.37033Devaney, Robert L. 12 2004 Singular perturbations of quadratic maps. Zbl 1099.37036Devaney, Robert L.; Josić, Krešimir; Shapiro, Yakov 5 2004 Cantor and Sierpinski, Julia and Fatou: complex topology meets complex dynamics. Zbl 1161.37328Devaney, Robert L. 4 2004 Complex dynamics and symbolic dynamics. Zbl 1073.37010Blanchard, Paul; Devaney, Robert L.; Keen, Linda 2 2004 A survey of exponential dynamics. Zbl 1062.37034Devaney, Robert L. 1 2004 An introduction to chaotic dynamical systems. Reprint of the 2nd (1989) ed. Zbl 1025.37001Devaney, Robert L. 163 2003 Indecomposable continua in exponential dynamics. Zbl 1062.37035Devaney, Robert L.; Jarque, Xavier 14 2002 Geometry of the antennas in the Mandelbrot set. Zbl 1072.37506Devaney, R. L.; Moreno Rocha, M. 6 2002 Hyperbolic components of the complex exponential family. Zbl 1099.30011Devaney, Robert L.; Fagella, Núria; Jarque, Xavier 6 2002 A semilinear model for exponential dynamics and topology. Zbl 1028.37013Devaney, Robert L.; Moreno Rocha, Mónica 1 2002 Accessible points in the Julia sets of stable exponentials. Zbl 1093.37015Bhattacharjee, Ranjit; Devaney, Robert L.; Deville, R. E. Lee; Josić, Krešimir; Moreno-Rocha, Monica 5 2001 \(Se^x\): dynamics, topology, and bifurcations of complex exponentials. Zbl 0996.37057Devaney, Robert L. 4 2001 Dynamical convergence of polynomials to the exponential. Zbl 0976.37022Bodelón, Clara; Devaney, Robert L.; Hayes, Michael; Roberts, Gareth; Goldberg, Lisa R.; Hubbard, John H. 11 2000 Tying hairs for structurally stable exponentials. Zbl 0992.37040Bhattacharjee, Ranjit; Devaney, Robert L. 8 2000 Baby Mandelbrot sets are born in cauliflowers. Zbl 1107.37303Douady, Adrien; Buff, Xavier; Devaney, Robert L.; Sentenac, Pierrette 5 2000 Hairs for the complex exponential family. Zbl 1192.37061Bodelón, Clara; Devaney, Robert L.; Hayes, Michael; Roberts, Gareth; Goldberg, Lisa R.; Hubbard, John H. 30 1999 The Mandelbrot set, the Farey tree, and the Fibonacci sequence. Zbl 1076.37512Devaney, Robert L. 29 1999 Cantor bouquets, explosions, and Knaster continua: Dynamics of complex exponentials. Zbl 0939.37028Devaney, Robert L. 7 1999 The dynamics of a piecewise linear map and its smooth approximation. Zbl 0886.58073Aharonov, D.; Devaney, R. L.; Elias, U. 9 1997 Misiurewicz points for complex exponentials. Zbl 0899.58052Devaney, Robert L.; Jarque, Xavier 9 1997 The fractal geometry of the Mandelbrot set. II: How to count and how to add. Zbl 0929.37016Devaney, Robert L. 8 1995 Complex dynamical systems. The mathematics behind the Mandelbrot and Julia sets. Lecture notes prepared for the American Mathematical Society short course, held in Cincinnati, OH, USA, January 10-11, 1994. Zbl 0809.00024 7 1994 The complex dynamics of quadratic polynomials. Zbl 0820.58032Devaney, Robert L. 4 1994 Complex dynamics and entire functions. Zbl 0820.58031Devaney, Robert L. 3 1994 Knaster-like continua and complex dynamics. Zbl 0798.58041Devaney, Robert L. 13 1993 A first course in chaotic dynamical systems. Theory and experiment. Zbl 0768.58001Devaney, Robert L. 105 1992 The dynamics of complex polynomials and automorphisms of the shift. Zbl 0729.58025Blanchard, Paul; Devaney, Robert L.; Keen, Linda 20 1991 \(e^ z\): Dynamics and bifurcations. Zbl 0874.58066Devaney, Robert L. 14 1991 The exploding exponential and chaotic bursts in complex dynamics. Zbl 0742.30025Devaney, Robert L.; Durkin, Marilyn B. 14 1991 Chaos, fractals, and dynamics. Computer experiments in mathematics. Zbl 0746.58003Devaney, Robert L. 12 1990 Dynamics of entire maps. Zbl 0708.30026Devaney, R. L. 5 1990 An introduction to chaotic dynamical systems. 2nd ed. Zbl 0695.58002Devaney, Robert L. 820 1989 Dynamics of meromorphic maps: Maps with polynomial Schwarzian derivative. Zbl 0666.30017Devaney, Robert L.; Keen, Linda 22 1989 Chaos and fractals. The mathematics behind the computer graphics. (Lectures delivered in the AMS short course on August 6-7, 1988, given in conjunction with the AMS centennial meeting in Procidence, RI). Zbl 0677.58004 3 1989 Chaos, fractals and dynamics. Computer experiments in mathematics. Videocassette (NTSC/PAL u. SECAM; 60 min. VHS; sd., col.). Zbl 0776.58004Devaney, Robert 1 1989 Film and video as a tool in mathematical research. Zbl 0682.58030Devaney, Robert L. 1 1989 The science of fractal images. With contributions by Yuval Fisher and Michael McGuire. Ed. by Heinz-Otto Peitgen and Dietmar Saupe. (Based on notes for the course fractals - introduction, basics and pespectives given as part of the SIG-GRAPH ’87, Anaheim, Calif. course program). Zbl 0683.58003Barnsley, Michael F.; Devaney, Robert L.; Mandelbrot, Benoit B.; Peitgen, Heinz-Otto; Saupe, Dietmar; Voss, Richard 23 1988 Dynamics of tangent. Zbl 0662.30019Devaney, Robert L.; Keen, Linda 5 1988 Reversibility, homoclinic points, and the Hénon map. Zbl 0676.58043Devaney, Robert L. 2 1988 Chaotic bursts in nonlinear dynamical systems. Zbl 1226.37030Devaney, Robert L. 27 1987 Uniformization of attracting basins for exponential maps. Zbl 0621.30024Devaney, Robert L.; Goldberg, Lisa R. 17 1987 An introduction to chaotic dynamical systems. Zbl 0632.58005Devaney, Robert L. 212 1986 Dynamics of entire functions near the essential singularity. Zbl 0612.58020Devaney, Robert L.; Tangerman, Folkert 46 1986 Exploding Julia sets. Zbl 0603.58012Devaney, Robert L. 1 1986 Structural instability of exp(z). Zbl 0575.58027Devaney, Robert L. 14 1985 Dynamics of exp(z). Zbl 0567.58025Devaney, Robert L.; Krych, Michal 83 1984 A piecewise linear model for the zones of instability of an area- preserving map. Zbl 0588.58009Devaney, Robert L. 25 1984 Homoclinic bifurcations and the area-conserving Henon mapping. Zbl 0527.58029Devaney, Robert L. 22 1984 Julia sets and bifurcation diagrams for exponential maps. Zbl 0542.58021Devaney, Robert L. 21 1984 Blowing up singularities in classical mechanical systems. Zbl 0501.70019Devaney, Robert L. 16 1982 Motion near total collapse in the planar isosceles three-body problem. Zbl 0507.70006Devaney, Robert L. 5 1982 Singularities in classical mechanical systems. Zbl 0467.70016Devaney, Robert L. 15 1981 The Baker transformation and a mapping associated to the restricted three body problem. Zbl 0463.28012Devaney, Robert L. 5 1981 Genealogy of periodic points of maps of the interval. Zbl 0472.58017Devaney, Robert L. 1 1981 Triple collision in the planar isosceles three body problem. Zbl 0438.58014Devaney, Robert L. 34 1980 Morse-Smale singularities in simple mechanical systems. Zbl 0463.58013Devaney, Robert L. 3 1980 Linked twist mappings are almost Anosov. Zbl 0448.58018Devaney, Robert L. 2 1980 ...and 10 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,993 Authors 41 Devaney, Robert L. 28 Chen, Guanrong 23 Cordero, Alicia 23 Jamilov, Uygun U. 23 Torregrosa Sanchez, Juan Ramón 22 Shi, Yuming 19 Gardini, Laura 17 Peris, Alfredo 17 Rozikov, Utkir A. 17 Wu, Xinxing 15 Romera, Miguel 14 Montoya, Fausto 14 Zanolin, Fabio 13 Fagella, Núria 13 Huang, Yu 13 Llibre, Jaume 13 Martínez-Giménez, Félix 13 Pastor, Gerardo 13 Rempe-Gillen, Lasse 13 Yang, Fei 12 Jarque, Xavier 12 Wang, Lidong 11 Álvarez, Gonzalo A. 11 Behl, Ramandeep 11 Das, Ruchi 11 Garijo, Antonio 11 Margara, Luciano 11 Oprocha, Piotr 11 Tian, Chuanjun 11 Tkhaĭ, Valentin Nikolaevich 11 Yang, Qigui 10 Champneys, Alan R. 10 Danca, Marius-Florin 10 Liao, Gongfu 10 Mai, Jiehua 10 Qiu, Weiyuan 10 Shi, Enhui 10 Yorke, James Alan 9 Cattaneo, Gianpiero 9 Formenti, Enrico 9 Guyeux, Christophe 9 Holmes, Philip J. 9 Kennedy, Judy A. 9 Ladra González, Manuel 9 Liu, Shutang 9 Lu, Tianxiu 8 Benini, Anna Miriam 8 Bergweiler, Walter 8 Chua, Leon Ong 8 Hawkins, Jane M. 8 Lamb, Jeroen S. W. 8 Lerman, Lev 8 Liang, Wei 8 Schleicher, Dierk 8 Teixeira, Marco Antonio 8 Wang, Huoyun 8 Zhang, Xu 7 Akhmet, Marat Ubaydulla 7 Barański, Krzysztof 7 Broer, Henk W. 7 Buzzi, Claudio Aguinaldo 7 Chen, Goong 7 Chugh, Renu 7 Evdoridou, Vasiliki 7 Geum, Young Hee 7 Kannan, V. 7 Kim, Young Ik 7 Koss, Lorelei 7 Kuznetsov, Sergey P. 7 Lyubich, Mikhail 7 Marotta, Sebastian M. 7 Rippon, Philip Jonathan 7 Sevryuk, Mikhail Borisovich 7 Shao, Hua 7 Sixsmith, David Jonathan 7 Stallard, Gwyneth Mary 7 Terracini, Susanna 7 Tresser, Charles 7 Yu, Jian-She 6 Ali Akbar, Kamaludheen 6 Barutello, Vivina L. 6 Bollt, Erik M. 6 Briane, Marc 6 Chen, Yi-Chiuan 6 Chu, Zhenyan 6 Conejero, José Alberto 6 Graça, Daniel Silva 6 Huang, Tingwen 6 Keen, Linda 6 Lacomba, Ernesto A. 6 Leonel, Edson Denis 6 Li, Liangliang 6 Li, Risong 6 Lin, Wei 6 Lindström, Torsten 6 Mayer, John C. 6 Michetti, Elisabetta 6 Mireles-James, Jason D. 6 Motsa, Sandile Sydney 6 Murillo-Arcila, Marina ...and 2,893 more Authors all top 5 Cited in 428 Serials 179 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 112 Chaos, Solitons and Fractals 84 Physica D 79 Journal of Mathematical Analysis and Applications 60 Chaos 55 Journal of Difference Equations and Applications 53 Ergodic Theory and Dynamical Systems 49 Topology and its Applications 41 Journal of Differential Equations 41 Proceedings of the American Mathematical Society 36 Transactions of the American Mathematical Society 35 Qualitative Theory of Dynamical Systems 29 Applied Mathematics and Computation 29 Nonlinear Dynamics 27 Theoretical Computer Science 27 Celestial Mechanics and Dynamical Astronomy 27 Communications in Nonlinear Science and Numerical Simulation 26 Discrete and Continuous Dynamical Systems 23 Advances in Mathematics 20 Journal of Dynamics and Differential Equations 20 Discrete Dynamics in Nature and Society 19 Nonlinear Analysis. 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