Edit Profile (opens in new tab) Yorke, James Alan Compute Distance To: Compute Author ID: yorke.james-a Published as: Yorke, James A.; Yorke, J. A.; Yorke, James; Yorke, J. more...less External Links: MGP · ORCID · Wikidata · GND · IdRef Documents Indexed: 253 Publications since 1967, including 5 Books 2 Contributions as Editor · 1 Further Contribution Biographic References: 2 Publications Co-Authors: 108 Co-Authors with 231 Joint Publications 1,884 Co-Co-Authors all top 5 Co-Authors 24 single-authored 30 Ott, Edward 28 Grebogi, Celso 18 Sauer, Timothy D. 17 Kennedy, Judy A. 17 Li, Tien-Yien 16 Alligood, Kathleen T. 16 Nusse, Helena Engelina 14 Kaplan, James L. 13 Hunt, Brian R. 13 Lasota, Andrzej 12 Alexander, James Crew 11 Kan, Ittai 11 Mallet-Paret, John Joseph 10 Sander, Evelyn 8 Strauss, Aaron 6 Kostelich, Eric J. 5 Chow, Shui-Nee 5 Das, Suddhasattwa 5 Saiki, Yoshitaka 5 Sanjuán, Miguel A. F. 5 Yorke, Ellen D. 3 Banerjee, Soumitro 3 Joglekar, Madhura R. 3 Kocak, Huseyin 3 Ott, William 3 Poon, Leon 3 Sabuco, Juan 3 Saperstone, Stephen H. 3 You, Zhiping 2 Auerbach, Ditza 2 Battelino, Peter M. 2 Cooke, Kenneth L. 2 Hammel, Stephen M. 2 Harrison, Jenny C. 2 Hethcote, Herbert W. 2 Kellogg, Bruce 2 Koçak, Şahin 2 Lai, Yingcheng 2 McDonald, Steven W. 2 Pianigiani, Giulio 2 Robert, Carl 2 Sommerer, John C. 2 Stockman, David R. 2 Tedeschini-Lalli, Laura 2 Tempkin, Joshua A. 2 Yuan, Guocheng 2 Yuan, Guohui 1 Akhavan, Naghmeh 1 Anderson, William N. jun. 1 Antonsen, Thomas M. jun. 1 Auslander, Joseph 1 Barnsley, Michael Fielding 1 Bernfeld, Stephen R. 1 Bhatia, Nam Parshad 1 Branner, Bodil 1 Brin, Michael 1 Capeáns, Rubén 1 Casdagli, Martin C. 1 Chin, Wai 1 Corazza, Marco 1 Coven, Ethan M. 1 Curry, James H. 1 Dawson, Silvina Ponce 1 De Leo, Roberto 1 Deniz, Ali 1 Devaney, Robert L. 1 Ding, Mingzhou 1 Ditto, William L. 1 Eaves, B. Curtis 1 Farmer, James Doyne 1 Feudel, Ulrike 1 Frederickson, Paul O. 1 Gallas, Jason Alfredo Carlson 1 Grossman, Steven E. 1 Guharay, Sabyasachi 1 Halanay, Aristide 1 Halbert, James T. 1 Halper, Russell D. 1 Hammel, Stephan M. 1 Harder, Eric J. 1 Hartl, M. D. 1 Holmes, Philip J. 1 Jacobs, Joeri 1 Jahedi, Sana 1 Jones, G. Stephen 1 Kalnay, Eugenia 1 Karthik, M. S. 1 Keen, Linda 1 Khanin, Konstantin M. 1 Lajmanovich, Ana 1 Misiurewicz, Michał 1 Nold, Annett 1 Patil, D. J. 1 Pelikan, Stephan 1 Peratt, Barry A. 1 Rapatski, Brandy L. 1 Ratiu, Andrei V. 1 Sanjuán, A. F. Miguel 1 Shinbrot, Troy 1 Sinaĭ, Yakov Grigor’evich ...and 13 more Co-Authors all top 5 Serials 27 Physica D 17 Journal of Differential Equations 13 Transactions of the American Mathematical Society 13 Ergodic Theory and Dynamical Systems 8 Nonlinearity 8 Bulletin of the American Mathematical Society. New Series 7 Proceedings of the American Mathematical Society 7 Physical Review Letters 6 Communications in Mathematical Physics 6 SIAM Journal on Applied Dynamical Systems 5 Mathematical Systems Theory 5 Topology and its Applications 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 SIAM Journal on Control 4 Chaos 4 Nonlinear Analysis. Theory, Methods & Applications 3 Journal of Statistical Physics 3 Mathematical Biosciences 3 SIAM Journal on Numerical Analysis 3 SIAM Journal on Mathematical Analysis 2 American Mathematical Monthly 2 Physics Letters. A 2 Numerische Mathematik 2 IEEE Transactions on Circuits and Systems. I: Fundamental Theory and Applications 2 SIAM Journal on Applied Mathematics 2 SIAM Review 2 Journal of Difference Equations and Applications 2 Bulletin of the American Mathematical Society 2 Applied Mathematical Sciences 2 Journal of Fixed Point Theory and Applications 2 Science 1 Journal of Mathematical Analysis and Applications 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 American Journal of Mathematics 1 Annales Polonici Mathematici 1 Časopis Pro Pěstování Matematiky 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of Differential Geometry 1 Journal of Functional Analysis 1 Journal of Mathematical Economics 1 Journal of Pure and Applied Algebra 1 Mathematics of Operations Research 1 Rendiconti del Seminario Matematico della Università di Padova 1 Tôhoku Mathematical Journal. Second Series 1 Journal of Complexity 1 Proceedings of the National Academy of Sciences of the United States of America 1 Notices of the American Mathematical Society 1 Random & Computational Dynamics 1 Nonlinear Science Today 1 Topology Proceedings 1 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica 1 Turkish Journal of Mathematics 1 Discrete and Continuous Dynamical Systems 1 Annals of Mathematics. Second Series 1 Regular and Chaotic Dynamics 1 Communications in Nonlinear Science and Numerical Simulation 1 Mathematical Biosciences and Engineering 1 Bollettino della Unione Matematica Italiana. Series IV 1 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 1 Nature, London 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 Lecture Notes in Biomathematics 1 Lecture Notes in Mathematics 1 Proceedings of Symposia in Applied Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Prace Matematyczne 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 151 Dynamical systems and ergodic theory (37-XX) 57 Ordinary differential equations (34-XX) 26 Numerical analysis (65-XX) 23 Measure and integration (28-XX) 18 General topology (54-XX) 13 Operator theory (47-XX) 12 Systems theory; control (93-XX) 11 Biology and other natural sciences (92-XX) 10 Global analysis, analysis on manifolds (58-XX) 8 Algebraic topology (55-XX) 7 Mechanics of particles and systems (70-XX) 7 Fluid mechanics (76-XX) 6 General and overarching topics; collections (00-XX) 6 Real functions (26-XX) 6 Difference and functional equations (39-XX) 5 Manifolds and cell complexes (57-XX) 4 Probability theory and stochastic processes (60-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Computer science (68-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Operations research, mathematical programming (90-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 229 Publications have been cited 8,932 times in 6,817 Documents Cited by ▼ Year ▼ Controlling chaos. Zbl 0964.37501Ott, Edward; Grebogi, Celso; Yorke, James A. 1,258 1990 Period three implies chaos. Zbl 0351.92021Li, Tien-Yien; Yorke, James A. 1,075 1975 A deterministic model for gonorrhea in a nonhomogeneous population. Zbl 0344.92016Lajmanovich, Ana; Yorke, James A. 284 1976 On the existence of invariant measures for piecewise monotonic transformations. Zbl 0298.28015Lasota, A.; Yorke, James A. 267 1974 Chaos. An introduction to dynamical systems. Zbl 0867.58043Alligood, Kathleen T.; Sauer, Tim D.; Yorke, James A. 262 1996 Embedology. Zbl 0943.37506Sauer, Tim; Yorke, James A.; Casdagli, Martin 254 1991 Crises, sudden changes in chaotic attractors, and transient chaos. Zbl 0561.58029Grebogi, Celso; Ott, Edward; Yorke, James A. 239 1983 Border-collision bifurcations including “period two to period three” for piecewise smooth systems. Zbl 0760.58031Nusse, Helena E.; Yorke, James A. 174 1992 Gonorrhea. Transmission dynamics and control. Zbl 0542.92026Hethcote, Herbert W.; Yorke, James A. 152 1984 Prevalence: a translation-invariant “almost every” on infinite- dimensional spaces. Zbl 0763.28009Hunt, Brian R.; Sauer, Tim; Yorke, James A. 140 1992 Interval maps, factors of maps, and chaos. Zbl 0448.54040Auslander, Joseph; Yorke, James A. 134 1980 Border-collision bifurcations for piecewise smooth one-dimensional maps. Zbl 0885.58060Nusse, Helena E.; Yorke, James A. 127 1995 Strange attractors that are not chaotic. Zbl 0588.58036Grebogi, Celso; Ott, Edward; Pelikan, Steven; Yorke, James A. 126 1984 Ordinary differential equations which yield periodic solutions of differential delay equations. Zbl 0293.34102Kaplan, James L.; Yorke, James A. 119 1974 Fractal basin boundaries. Zbl 0588.58033McDonald, Steven W.; Grebogi, Celso; Ott, Edward; Yorke, James A. 115 1985 The Lyapunov dimension of strange attractors. Zbl 0515.34040Frederickson, Paul; Kaplan, James L.; Yorke, Ellen D.; Yorke, James A. 112 1983 Finding zeroes of maps: homotopy methods that are constructive with probability one. Zbl 0398.65029Chow, Shui-Nee; Mallet-Paret, John; Yorke, James A. 109 1978 Riddled basins. Zbl 0870.58046Alexander, J. C.; Yorke, James A.; You, Zhiping; Kan, I. 106 1992 Some equations modelling growth processes and gonorrhea epidemics. Zbl 0251.92011Cooke, Kenneth L.; Yorke, James A. 98 1973 Preturbulence: A regime observed in a fluid flow model of Lorenz. Zbl 0443.76059Kaplan, James L.; Yorke, James A. 91 1979 Topological horseshoes. Zbl 0972.37011Kennedy, Judy; Yorke, James A. 90 2001 Robust chaos. Zbl 1122.37308Banerjee, Soumitro; Yorke, James A.; Grebogi, Celso 88 1998 Asymptotic stability for one dimensional differential-delay equations. Zbl 0184.12401Yorke, J. A. 84 1970 Global bifurcations of periodic orbits. Zbl 0386.34040Alexander, J. C.; Yorke, James A. 76 1978 Bifurcations in one-dimensional piecewise smooth maps – theory and application in switching circuits. Zbl 0968.37013Banerjee, Soumitro; Karthik, M. S.; Yuan, Guohui; Yorke, James A. 74 2000 Ergodic transformations from an interval into itself. Zbl 0371.28017Li, Tien-Yien; Yorke, James A. 74 1978 A constructive proof of the Brouwer fixed-point theorem and computational results. Zbl 0355.65037Kellogg, R. B.; Li, T. Y.; Yorke, J. 74 1976 Do numerical orbits of chaotic dynamical processes represent true orbits? Zbl 0639.65037Hammel, Stephen M.; Yorke, James A.; Grebogi, Celso 66 1987 Invariance for ordinary differential equations. Zbl 0155.14201Yorke, J. A. 59 1967 On the stability of a periodic solution of a differential delay equation. Zbl 0241.34080Kaplan, James L.; Yorke, James A. 59 1975 Basins of Wada. Zbl 0746.58054Kennedy, Judy; Yorke, James A. 58 1991 When all solutions of \(x'=-\Sigma q_ i(t)x(t-T_ i(t))\) oscillate. Zbl 0571.34057Hunt, Brian R.; Yorke, James A. 54 1984 Chaos, strange attractors, and fractal basin boundaries in nonlinear dynamics. Zbl 1226.37015Grebogi, Celso; Ott, Edward; Yorke, James A. 52 1987 The Lyapunov dimension of a nowhere differentiable attracting torus. Zbl 0558.58018Kaplan, James L.; Mallet-Paret, John; Yorke, James A. 49 1984 Periods of periodic solutions and the Lipschitz constant. Zbl 0184.12103Yorke, J. A. 48 1969 Border-collision bifurcations in the buck converter. Zbl 0952.94020Yuan, Guohui; Banerjee, Soumitro; Ott, Edward; Yorke, James A. 47 1998 Numerical orbits of chaotic processes represent true robits. Zbl 0689.58026Hammel, Stephan M.; Yorke, James A.; Grebogi, Celso 47 1988 Basin boundary metamorphoses: Changes in accessible boundary orbits. Zbl 0613.58018Grebogi, Celso; Ott, Edward; Yorke, James A. 47 1987 The homotopy continuation method: Numerically implementable topological procedures. Zbl 0424.58003Alexander, J. C.; Yorke, James A. 45 1978 Shadowing of physical trajectories in chaotic dynamics:containment and refinement. Zbl 1050.37521Grebogi, Celso; Hammel, Stephen M.; Yorke, James A.; Sauer, Tim 45 1990 Cascades of period-doubling bifurcations: a prerequisite for horseshoes. Zbl 0541.58039Yorke, James A.; Alligood, Kathleen T. 45 1983 The dimension of chaotic attractors. Zbl 0561.58032Farmer, J. Doyne; Ott, Edward; Yorke, James A. 45 1983 Perturbation theorems for ordinary differential equations. Zbl 0189.38701Strauss, Aaron; Yorke, James A. 44 1967 Lower bound technique for Markov operators and iterated function systems. Zbl 0804.47033Lasota, Andrzej; Yorke, James A. 44 1994 Lyapunov functions and isolating blocks. Zbl 0249.34037Wilson, F. Wesley jun.; Yorke, James A. 44 1973 Pseudo-orbit shadowing in the family of tent maps. Zbl 0651.58032Coven, Ethan M.; Kan, Ittai; Yorke, James A. 42 1988 Expanding maps on sets which are almost invariant: decay and chaos. Zbl 0417.28010Pianigiani, Giulio; Yorke, James A. 42 1979 Attractors on an N-torus: Quasiperiodicity versus chaos. Zbl 0577.58023Grebogi, Celso; Ott, Edward; Yorke, James A. 42 1985 On the nonlinear differential delay equation x’(t) = -f(x(t),x(t-1)). Zbl 0307.34070Kaplan, James L.; Yorke, James A. 41 1977 Some new results and problems in the theory of differential-delay equations. Zbl 0216.11902Halanay, A.; Yorke, J. A. 40 1971 Snakes: oriented families of periodic orbits, their sources, sinks, and continuation. Zbl 0487.34038Mallet-Paret, John; Yorke, James A. 39 1982 Dynamics: numerical explorations. Accompanying computer program dynamics. Coauthored by Eric J. Kostelich. With 3 1/2” DOS Diskette. Zbl 0805.58007Nusse, Helena E.; Yorke, James A. 37 1994 Prevalence. Zbl 1111.28014Ott, William; Yorke, James A. 37 2005 How often do simple dynamical processes have infinitely many coexisting sinks? Zbl 0602.58036Tedeschini-Lalli, Laura; Yorke, James A. 37 1986 The transition to chaotic attractors with riddled basins. Zbl 0820.58043Ott, Edward; Alexander, J. C.; Kan, I.; Sommerer, J. C.; Yorke, J. A. 36 1994 Perturbing uniform asymptotically stable nonlinear systems. Zbl 0182.12103Strauss, A.; Yorke, J. A. 36 1969 Noise reduction: Finding the simplest dynamical system consistent with the data. Zbl 0705.58036Kostelich, Eric J.; Yorke, James A. 36 1990 The generic property of existence of solutions of differential equations in Banach space. Zbl 0259.34070Lasota, A.; Yorke, James A. 36 1973 Exact dynamical systems and the Frobenius-Perron operator. Zbl 0524.28021Lasota, A.; Yorke, James A. 35 1982 A chaos lemma. Zbl 0991.37015Kennedy, Judy; Koçak, Sahin; Yorke, James A. 33 2001 The cheater’s homotopy: An efficient procedure for solving systems of polynomial equations. Zbl 0689.65032Li, T. Y.; Sauer, Tim; Yorke, J. A. 33 1989 Global Hopf bifurcation from a multiple eigenvalue. Zbl 0407.47039Chow, Shui-Nee; Mallet-Paret, John; Yorke, James A. 32 1978 Controlling chaos in high-dimensional systems. Zbl 0964.37502Auerbach, Ditza; Grebogi, Celso; Ott, Edward; Yorke, James A. 32 1992 Chaotic behavior of multidimensional difference equations. Zbl 0448.58020Kaplan, James L.; Yorke, James A. 31 1979 No division implies chaos. Zbl 0495.58018Li, Tien-Yien; Misiurewicz, Michal; Pianigiani, Giulio; Yorke, James A. 31 1982 Fat baker’s transformations. Zbl 0553.58020Alexander, J. C.; Yorke, J. A. 31 1984 A continuous differential equation in Hilbert space without existence. Zbl 0248.34061Yorke, James A. 31 1970 Scaling behavior of chaotic systems with riddled basins. Zbl 0972.37514Ott, Edward; Sommerer, John C.; Alexander, James C.; Kan, Ittai; Yorke, James A. 30 1993 Bounds for periodic solutions of differential equations in Banach spaces. Zbl 0261.34035Lasota, A.; Yorke, James A. 30 1971 Explosions of chaotic sets. Zbl 0959.37042Robert, Carl; Alligood, Kathleen T.; Ott, Edward; Yorke, James A. 29 2000 Asymptotic periodicity of the iterates of Markov operators. Zbl 0564.47015Lasota, A.; Li, T. Y.; Yorke, J. A. 29 1984 The implicit function theorem and the global methods of cohomology. Zbl 0321.58006Alexander, J. C.; Yorke, James A. 29 1976 A procedure for finding numerical trajectories on chaotic saddles. Zbl 0728.58027Nusse, Helena E.; Yorke, James A. 29 1989 How often are chaotic saddles nonhyperbolic? Zbl 0785.58035Lai, Ying-Cheng; Grebogi, Celso; Yorke, James A.; Kan, Ittai 28 1993 Calculations stable and unstable manifolds. Zbl 0874.58053You, Zhiping; Kostelich, Eric J.; Yorke, James A. 28 1991 Existence o f solutions of two-point boundary value problems for nonlinear systems. Zbl 0263.34016Lasota, A.; Yorke, James A. 28 1972 Wada basin boundaries and basin cells. Zbl 0886.58072Nusse, Helena E.; Yorke, James A. 27 1996 Coping with chaos: analysis of chaotic data and the exploitation of chaotic systems. Zbl 0840.58001 27 1994 Basins of attraction. Zbl 1226.37009Nusse, Helena E.; Yorke, James A. 27 1996 Rigorous verification of trajectories for the computer simulation of dynamical systems. Zbl 0736.58032Sauer, Tim; Yorke, James A. 26 1991 Estimating correlation dimension from a chaotic time series: When does plateau onset occur? Zbl 0803.58038Ding, Mingzhou; Grebogi, Celso; Ott, Edward; Sauer, Tim; Yorke, James A. 24 1993 Numerical solution of a class of deficient polynomial systems. Zbl 0625.65039Li, Tien-Yien; Sauer, Tim; Yorke, James A. 23 1987 Controllability of linear oscillatory systems using positive controls. Zbl 0215.30202Saperstone, S. H.; Yorke, J. A. 22 1971 On asymptotically autonomous differential equations. Zbl 0189.38502Strauss, Aaron; Yorke, James A. 21 1967 Dynamics: numerical explorations. Accompanying computer program Dynamics 2. Coauthored by Brian R. Hunt and Eric J. Kostelich. With 3 1/2” DOS Diskette. 2nd, rev. and enl. ed. Zbl 0895.58001Nusse, Helena E.; Yorke, James A. 21 1998 Accessible saddles on fractal basin boundaries. Zbl 0767.58023Alligood, Kathleen T.; Yorke, James A. 20 1992 Unstable dimension variability: A source of nonhyperbolicity in chaotic systems. Zbl 0925.58048Kostelich, Eric J.; Kan, Ittai; Ott, Edward; Yorke, James A. 20 1997 Inverse limits and an implicitly defined difference equation from economics. Zbl 1170.54014Kennedy, Judy; Stockman, David R.; Yorke, James A. 20 2007 Is every approximate trajectory of some process near an exact trajectory of a nearby process? Zbl 0697.58036Nusse, Helena E.; Yorke, James A. 20 1988 Antimonotonicity: Concurrent creation and annihilation of periodic orbits. Zbl 0765.58020Kan, Ittai; Koçak, Hüseyin; Yorke, James A. 19 1992 An open set of maps for which every point is absolutely nonshadowable. Zbl 0996.37025Yuan, Guo-Cheng; Yorke, James A. 19 2000 Prevalence: An addendum. Zbl 0782.28007Hunt, Brian R.; Sauer, Tim; Yorke, James A. 17 1993 On the existence of invariant measures for transformations with strictly turbulent trajectories. Zbl 0357.28018Lasota, Andrzej; Yorke, James A. 17 1977 Using the sensitive dependence of chaos (the “butterfly effect”) to direct trajectories in an experimental chaotic system. Zbl 0969.37512Shinbrot, Troy; Ditto, William; Grebogi, Celso; Ott, Edward; Spano, Mark; Yorke, James A. 17 1992 Multiple coexisting attractors, basin boundaries and basic sets. Zbl 0668.58035Battelino, Peter M.; Grebogi, Celso; Ott, Edward; Yorke, James A.; Yorke, Ellen D. 17 1988 Asymptotic behaviour an d exponential stability criteria for differential delay equations. Zbl 0268.34079Grossman, Steven E.; Yorke, James A. 17 1972 Are the dimensions of a set and its image equal under typical smooth functions? Zbl 0884.28006Sauer, Timothy D.; Yorke, James A. 16 1997 Period-doubling cascades galore. Zbl 1223.37065Sander, Evelyn; Yorke, James A. 15 2011 Differential inequalities and non-Lipschitz scalar functions. Zbl 0231.34047Yorke, James A. 15 1970 Solutions of x’(t)=f(x(t),x(t-L)) have limits when f is an order relation. Zbl 0465.34041Kaplan, James L.; Sorg, M.; Yorke, James A. 15 1979 The graph of the logistic map is a tower. Zbl 1484.37028De Leo, Roberto; Yorke, James A. 1 2021 Super convergence of ergodic averages for quasiperiodic orbits. Zbl 1384.37010Das, Suddhasattwa; Yorke, James A. 6 2018 Low-dimensional paradigms for high-dimensional hetero-chaos. Zbl 1400.37102Saiki, Yoshitaka; Sanjuán, Miguel A. F.; Yorke, James A. 2 2018 Quantitative quasiperiodicity. Zbl 1384.37009Das, Suddhasattwa; Saiki, Yoshitaka; Sander, Evelyn; Yorke, James A. 10 2017 Multichaos from quasiperiodicity. Zbl 1381.37015Das, Suddhasattwa; Yorke, James A. 4 2017 Partially controlling transient chaos in the Lorenz equations. Zbl 1404.37040Capeáns, Rubén; Sabuco, Juan; Sanjuán, Miguel A. F.; Yorke, James A. 2 2017 Avoiding extremes using partial control. Zbl 1336.93099Das, Suddhasattwa; Yorke, James 2 2016 The many facets of chaos. Zbl 1314.37022Sander, Evelyn; Yorke, James A. 9 2015 Uncertainty as to whether or not a system has a chaotic attractor. Zbl 1357.37065Joglekar, Madhura; Ott, Edward; Yorke, James A. 1 2015 Modeling a chaotic machine’s dynamics as a linear map on a “square sphere”. Zbl 1330.37033Halbert, J. T.; Yorke, James A. 1 2014 A period-doubling cascade precedes chaos for planar maps. Zbl 1323.37021Sander, Evelyn; Yorke, James A. 5 2013 Finding safety in partially controllable chaotic systems. Zbl 1256.93023Sabuco, Juan; Zambrano, Samuel; Sanjuán, Miguel A. F.; Yorke, James A. 9 2012 Dynamics of partial control. Zbl 1319.37026Sabuco, Juan; Sanjuán, Miguel A. F.; Yorke, James A. 7 2012 Period-doubling cascades galore. Zbl 1223.37065Sander, Evelyn; Yorke, James A. 15 2011 Fixed points indices and period-doubling cascades. Zbl 1205.37064Joglekar, Madhura R.; Sander, Evelyn; Yorke, James A. 6 2010 A classification of explosions in dimension one. Zbl 1160.37378Sander, E.; Yorke, J. A. 4 2009 Period-doubling cascades for large perturbations of Hénon families. Zbl 1218.37015Sander, Evelyn; Yorke, James A. 3 2009 Modeling HIV outbreaks: The male to female prevalence ratio in the core population. Zbl 1157.92027Rapatski, Brandy; Yorke, James 2 2009 Stability of TCP dynamics in large data networks. Zbl 1167.37048Halper, Russell D.; Harder, Eric J.; Hunt, Brian R.; Yorke, James A. 2 2009 The inverse limits approach to chaos. Zbl 1161.37057Kennedy, Judy; Stockman, David R.; Yorke, James A. 10 2008 Shadowing in higher dimensions. Zbl 1151.37025Kennedy, Judy; Yorke, James A. 1 2008 Inverse limits and an implicitly defined difference equation from economics. Zbl 1170.54014Kennedy, Judy; Stockman, David R.; Yorke, James A. 20 2007 Spurious Lyapunov exponents computed from data. Zbl 1210.34069Tempkin, Joshua A.; Yorke, James A. 5 2007 Explosions in dimensions one through three. Zbl 1178.37045Alligood, K. T.; Sander, E.; Yorke, J. A. 2 2007 Bifurcations of basins of attraction from the view point of prime ends. Zbl 1118.37028Nusse, Helena E.; Yorke, James A. 2 2007 Prevalence. Zbl 1111.28014Ott, William; Yorke, James A. 37 2005 Estimating the state of large spatio-temporally chaotic systems. Zbl 1209.37112Ott, E.; Hunt, B. R.; Szunyogh, I.; Zimin, A. V.; Kostelich, E. J.; Corazza, M.; Kalnay, E.; Patil, D. J.; Yorke, J. A. 2 2004 Enveloping manifolds. Zbl 1077.37049Brin, Michael; Ott, William; Yorke, James A. 1 2004 Learning about reality from observation. Zbl 1088.37007Ott, William; Yorke, James A. 10 2003 Generalized Hénon difference equations with delay. Zbl 1058.39014Kennedy, Judy A.; Yorke, James A. 3 2003 Characterizing the basins with the most entangled boundaries. Zbl 1058.37020Nusse, Helena E.; Yorke, James A. 3 2003 Explosions: Global bifurcations at heteroclinic tangencies. Zbl 1018.37031Alligood, K.; Sander, E.; Yorke, J. 6 2002 Shadowability of chaotic dynamical systems. Zbl 1104.37300Grebogi, Celso; Poon, Leon; Sauer, Tim; Yorke, James A.; Auerbach, Ditza 4 2002 Measurements of a physical process satisfy a difference equation. Zbl 1004.37063Tempkin, Joshua A.; Yorke, James A. 2 2002 A chaos lemma with applications to Hénon-like difference equations. Zbl 1062.39017Kennedy, Judy A.; Yorke, James A. 1 2002 Topological horseshoes. Zbl 0972.37011Kennedy, Judy; Yorke, James A. 90 2001 A chaos lemma. Zbl 0991.37015Kennedy, Judy; Koçak, Sahin; Yorke, James A. 33 2001 Bifurcations in one-dimensional piecewise smooth maps – theory and application in switching circuits. Zbl 0968.37013Banerjee, Soumitro; Karthik, M. S.; Yuan, Guohui; Yorke, James A. 74 2000 Explosions of chaotic sets. Zbl 0959.37042Robert, Carl; Alligood, Kathleen T.; Ott, Edward; Yorke, James A. 29 2000 An open set of maps for which every point is absolutely nonshadowable. Zbl 0996.37025Yuan, Guo-Cheng; Yorke, James A. 19 2000 Finding all periodic orbits of maps using Newton methods: Sizes of basins. Zbl 0939.37008Miller, J. R.; Yorke, J. A. 7 2000 Collapsing of chaos in one dimensional maps. Zbl 0969.37037Yuan, Guocheng; Yorke, James A. 5 2000 Correlations in DNA sequences across the three domains of life. Zbl 0974.62106Guharay, Sabyasachi; Hunt, Brian R.; Yorke, James A.; White, Owen R. 2 2000 Topology in chaotic scattering. Zbl 1369.37049Sweet, David; Ott, Edward; Yorke, James A. 14 1999 Bifurcation rigidity. Zbl 0951.37010Hunt, Brian R.; Gallas, Jason A. C.; Grebogi, Celso; Yorke, James A.; Koçak, Hüseyin 8 1999 The topology of fluid flow past a sequence of cylinders. Zbl 0940.37016Kennedy, Judy; Sanjuan, A. F.; Yorke, James A.; Grebogi, Celso 5 1999 Robust chaos. Zbl 1122.37308Banerjee, Soumitro; Yorke, James A.; Grebogi, Celso 88 1998 Border-collision bifurcations in the buck converter. Zbl 0952.94020Yuan, Guohui; Banerjee, Soumitro; Ott, Edward; Yorke, James A. 47 1998 Dynamics: numerical explorations. Accompanying computer program Dynamics 2. Coauthored by Brian R. Hunt and Eric J. Kostelich. With 3 1/2” DOS Diskette. 2nd, rev. and enl. ed. Zbl 0895.58001Nusse, Helena E.; Yorke, James A. 21 1998 Dynamical properties of a simple mechanical system with a large number of coexisting periodic attractors. Zbl 0963.70556Feudel, Ulrike; Grebogi, Celso; Poon, Leon; Yorke, James A. 11 1998 Modeling continuous mixing of granular solids in a rotating drum. Zbl 1194.74038Peratt, Barry A.; Yorke, James A. 2 1998 Outer tangency bifurcations of chaotic sets. Zbl 0986.37025Robert, Carl; Alligood, Kathleen T.; Ott, Edward; Yorke, James A. 2 1998 Dynamical system topology preserved in the presence of noise. Zbl 0956.37012Kennedy, Judy A.; Yorke, James A. 1 1998 Dynamics. Numerical explorations. Transl. from the English by Stanisław Jankowski. With 1 IBM-PC floppy disk (3. 5 inch; HD). (Dynamika. Badania numeryczne.) Zbl 0959.37055Nusse, Helena E.; Yorke, James A. 1 1998 Unstable dimension variability: A source of nonhyperbolicity in chaotic systems. Zbl 0925.58048Kostelich, Eric J.; Kan, Ittai; Ott, Edward; Yorke, James A. 20 1997 Are the dimensions of a set and its image equal under typical smooth functions? Zbl 0884.28006Sauer, Timothy D.; Yorke, James A. 16 1997 Indecomposable continua in dynamical systems with noise: Fluid flow past an array of cylinders. Zbl 0967.76546Sanjuan, Miguel A. F.; Kennedy, Judy; Grebogi, Celso; Yorke, James A. 13 1997 Modeling fractal entrainment sets of tracers advected by chaotic temporally irregular fluid flows using random maps. Zbl 0925.76259Jacobs, Joeri; Ott, Edward; Antonsen, Thomas; Yorke, James 6 1997 The structure of basins of attraction and their trapping regions. Zbl 0893.58039Nusse, Helena E.; Yorke, James A. 5 1997 The topology of stirred fluids. Zbl 0919.54026Kennedy, Judy A.; Yorke, James A. 4 1997 Correlation dimension for iterated function systems. Zbl 0897.28006Chin, Wai; Hunt, Brian; Yorke, James A. 4 1997 Chaos. An introduction to dynamical systems. Zbl 0867.58043Alligood, Kathleen T.; Sauer, Tim D.; Yorke, James A. 262 1996 Wada basin boundaries and basin cells. Zbl 0886.58072Nusse, Helena E.; Yorke, James A. 27 1996 Basins of attraction. Zbl 1226.37009Nusse, Helena E.; Yorke, James A. 27 1996 Intermingled basins for the triangle map. Zbl 0857.58028Alexander, James C.; Hunt, Brian R.; Kan, Ittai; Yorke, James A. 9 1996 Plotting stable manifolds: Error estimates and noninvertible maps. Zbl 0887.65080Kostelich, Eric J.; Yorke, James A.; You, Zhiping 7 1996 When the long-time behavior is independent of the initial density. Zbl 0846.47005Lasota, Andrzej; Yorke, James A. 5 1996 Pseudocircles, diffeomorphisms and perturbable dynamical systems. Zbl 0862.54034Kennedy, Judy A.; Yorke, James A. 2 1996 Fractal properties of critical invariant curves. Zbl 0957.37022Hunt, Brian R.; Khanin, Konstantin M.; Sinai, Yakov G.; Yorke, James A. 1 1996 Border-collision bifurcations for piecewise smooth one-dimensional maps. Zbl 0885.58060Nusse, Helena E.; Yorke, James A. 127 1995 Bizarre topology is natural in dynamical systems. Zbl 0868.58055Kennedy, Judy A.; Yorke, James A. 11 1995 Persistent homoclinic tangencies in the Hénon family. Zbl 0889.58032Kan, Ittai; Koçak, Hüseyin; Yorke, James A. 2 1995 Lower bound technique for Markov operators and iterated function systems. Zbl 0804.47033Lasota, Andrzej; Yorke, James A. 44 1994 Dynamics: numerical explorations. Accompanying computer program dynamics. Coauthored by Eric J. Kostelich. With 3 1/2” DOS Diskette. Zbl 0805.58007Nusse, Helena E.; Yorke, James A. 37 1994 The transition to chaotic attractors with riddled basins. Zbl 0820.58043Ott, Edward; Alexander, J. C.; Kan, I.; Sommerer, J. C.; Yorke, J. A. 36 1994 Coping with chaos: analysis of chaotic data and the exploitation of chaotic systems. Zbl 0840.58001 27 1994 Pseudocircles in dynamical systems. Zbl 0819.54020Kennedy, Judy A.; Yorke, James A. 11 1994 Scaling behavior of chaotic systems with riddled basins. Zbl 0972.37514Ott, Edward; Sommerer, John C.; Alexander, James C.; Kan, Ittai; Yorke, James A. 30 1993 How often are chaotic saddles nonhyperbolic? Zbl 0785.58035Lai, Ying-Cheng; Grebogi, Celso; Yorke, James A.; Kan, Ittai 28 1993 Estimating correlation dimension from a chaotic time series: When does plateau onset occur? Zbl 0803.58038Ding, Mingzhou; Grebogi, Celso; Ott, Edward; Sauer, Tim; Yorke, James A. 24 1993 Prevalence: An addendum. Zbl 0782.28007Hunt, Brian R.; Sauer, Tim; Yorke, James A. 17 1993 How many delay coordinates do you need? Zbl 0871.58066Sauer, Tim; Yorke, James A. 15 1993 When Cantor sets intersect thickly. Zbl 0783.28006Hunt, Brian R.; Kan, Ittai; Yorke, James A. 11 1993 The forced damped pendulum and the Wada property. Zbl 0807.58028Kennedy, Judy; Yorke, James A. 1 1993 Maxwell on chaos. Zbl 0800.00024Hunt, Brian R.; Yorke, James A. 1 1993 Border-collision bifurcations including “period two to period three” for piecewise smooth systems. Zbl 0760.58031Nusse, Helena E.; Yorke, James A. 174 1992 Prevalence: a translation-invariant “almost every” on infinite- dimensional spaces. Zbl 0763.28009Hunt, Brian R.; Sauer, Tim; Yorke, James A. 140 1992 Riddled basins. Zbl 0870.58046Alexander, J. C.; Yorke, James A.; You, Zhiping; Kan, I. 106 1992 Controlling chaos in high-dimensional systems. Zbl 0964.37502Auerbach, Ditza; Grebogi, Celso; Ott, Edward; Yorke, James A. 32 1992 Accessible saddles on fractal basin boundaries. Zbl 0767.58023Alligood, Kathleen T.; Yorke, James A. 20 1992 Antimonotonicity: Concurrent creation and annihilation of periodic orbits. Zbl 0765.58020Kan, Ittai; Koçak, Hüseyin; Yorke, James A. 19 1992 Using the sensitive dependence of chaos (the “butterfly effect”) to direct trajectories in an experimental chaotic system. Zbl 0969.37512Shinbrot, Troy; Ditto, William; Grebogi, Celso; Ott, Edward; Spano, Mark; Yorke, James A. 17 1992 The equality of fractal dimension and uncertainty dimension for certain dynamical systems. Zbl 0770.58030Nusse, Helena E.; Yorke, James A. 3 1992 Embedology. Zbl 0943.37506Sauer, Tim; Yorke, James A.; Casdagli, Martin 254 1991 Basins of Wada. Zbl 0746.58054Kennedy, Judy; Yorke, James A. 58 1991 Calculations stable and unstable manifolds. Zbl 0874.58053You, Zhiping; Kostelich, Eric J.; Yorke, James A. 28 1991 Rigorous verification of trajectories for the computer simulation of dynamical systems. Zbl 0736.58032Sauer, Tim; Yorke, James A. 26 1991 Metamorphoses: Sudden jumps in basin boundaries. Zbl 0746.58053Alligood, Kathleen T.; Tedeschini-Lalli, Laura; Yorke, James A. 11 1991 Analysis of a procedure for finding numerical trajectories close to chaotic saddle hyperbolic sets. Zbl 0755.58044Nusse, Helena E.; Yorke, James A. 8 1991 A numerical procedure for finding accessible trajectories on basin boundaries. Zbl 0739.58038Nusse, Helena E.; Yorke, James A. 3 1991 ...and 129 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 7,923 Authors 104 Yorke, James Alan 64 Chen, Guanrong 62 Gardini, Laura 43 Grebogi, Celso 37 Oprocha, Piotr 36 Boyarsky, Abraham 34 Avrutin, Viktor 34 Sanjuán, Miguel A. 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Zeitschrift für angewandte Mathematik und Physik 12 Numerische Mathematik 12 Japan Journal of Industrial and Applied Mathematics 12 Physics of Fluids 12 Journal of Dynamical Systems and Geometric Theories 11 Journal of Computational Physics 11 Mathematical Programming ...and 493 more Serials all top 5 Cited in 61 Fields 3,711 Dynamical systems and ergodic theory (37-XX) 2,027 Ordinary differential equations (34-XX) 1,044 Systems theory; control (93-XX) 968 Biology and other natural sciences (92-XX) 452 Numerical analysis (65-XX) 348 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 339 Measure and integration (28-XX) 329 General topology (54-XX) 323 Mechanics of particles and systems (70-XX) 286 Difference and functional equations (39-XX) 263 Probability theory and stochastic processes (60-XX) 232 Partial differential equations (35-XX) 231 Operator theory (47-XX) 198 Information and communication theory, circuits (94-XX) 160 Fluid mechanics (76-XX) 149 Real functions (26-XX) 138 Operations research, mathematical programming (90-XX) 136 Computer science (68-XX) 134 Statistics (62-XX) 128 Global analysis, analysis on manifolds (58-XX) 127 Statistical mechanics, structure of matter (82-XX) 76 Mechanics of deformable solids (74-XX) 72 Calculus of variations and optimal control; optimization (49-XX) 59 Number theory (11-XX) 53 Functional analysis (46-XX) 49 Combinatorics (05-XX) 48 Integral equations (45-XX) 48 Optics, electromagnetic theory (78-XX) 46 Algebraic topology (55-XX) 40 Quantum theory (81-XX) 37 Manifolds and cell complexes (57-XX) 30 Linear and multilinear algebra; matrix theory (15-XX) 30 Functions of a complex variable (30-XX) 30 Geophysics (86-XX) 23 Mathematical logic and foundations (03-XX) 23 Algebraic geometry (14-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 22 Differential geometry (53-XX) 19 History and biography (01-XX) 19 Approximations and expansions (41-XX) 18 General and overarching topics; collections (00-XX) 17 Field theory and polynomials (12-XX) 15 Classical thermodynamics, heat transfer (80-XX) 13 Topological groups, Lie groups (22-XX) 12 Group theory and generalizations (20-XX) 11 Several complex variables and analytic spaces (32-XX) 10 Nonassociative rings and algebras (17-XX) 10 Convex and discrete geometry (52-XX) 10 Astronomy and astrophysics (85-XX) 9 Commutative algebra (13-XX) 9 Special functions (33-XX) 8 Abstract harmonic analysis (43-XX) 8 Relativity and gravitational theory (83-XX) 5 Associative rings and algebras (16-XX) 5 Sequences, series, summability (40-XX) 5 Integral transforms, operational calculus (44-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Potential theory (31-XX) 2 Category theory; homological algebra (18-XX) 2 Mathematics education (97-XX) 1 Geometry (51-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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