Edit Profile (opens in new tab) Yorke, James Alan Co-Author Distance 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: 266 Publications since 1967, including 5 Books and 6 Additional arXiv Preprints 2 Contributions as Editor · 1 Further Contribution Biographic References: 2 Publications Co-Authors: 116 Co-Authors with 244 Joint Publications 2,115 Co-Co-Authors all top 5 Co-Authors 24 single-authored 30 Ott, Edward 28 Grebogi, Celso 20 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 12 Sander, Evelyn 11 Kan, Ittai 11 Mallet-Paret, John Joseph 10 Saiki, Yoshitaka 9 Das, Suddhasattwa 8 Strauss, Aaron 6 Kostelich, Eric J. 5 Chow, Shui-Nee 5 Sanjuán, Miguel A. F. 5 Yorke, Ellen D. 4 Takahasi, Hiroki 3 Banerjee, Soumitro 3 De Leo, Roberto 3 Jahedi, Sana 3 Joglekar, Madhura R. 3 Kocak, Huseyin 3 Ott, William 3 Poon, Leon 3 Sabuco, Juan 3 Saperstone, Stephen H. 3 You, Zhiping 2 Akhavan, Naghmeh 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 Acar, Gizem Dilber 1 Alofi, Abdulrahman M. 1 Anderson, William N. jun. 1 Antonsen, Thomas M. jun. 1 Auslander, Joseph 1 Balachandran, Balakumar 1 Barnsley, Michael Fielding 1 Bernfeld, Stephen R. 1 Bhatia, Nam Parshad 1 Branner, Bodil 1 Breunung, Thomas 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 Deniz, Ali 1 Devaney, Robert L. 1 Ding, Mingzhou 1 Ditto, William L. 1 Dock, Chris B. 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 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 ...and 21 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 9 Nonlinearity 8 Bulletin of the American Mathematical Society. New Series 8 SIAM Journal on Applied Dynamical Systems 7 Proceedings of the American Mathematical Society 7 Physical Review Letters 6 Communications in Mathematical Physics 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 Applied Mathematics 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 Review 2 Journal of Difference Equations and Applications 2 Nonlinear Dynamics 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 Journal of Biological Dynamics 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 158 Dynamical systems and ergodic theory (37-XX) 58 Ordinary differential equations (34-XX) 27 Numerical analysis (65-XX) 23 Measure and integration (28-XX) 18 General topology (54-XX) 13 Operator theory (47-XX) 13 Biology and other natural sciences (92-XX) 13 Systems theory; control (93-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 236 Publications have been cited 9,550 times in 7,277 Documents Cited by ▼ Year ▼ Controlling chaos. Zbl 0964.37501 Ott, Edward; Grebogi, Celso; Yorke, James A. 1,313 1990 Period three implies chaos. Zbl 0351.92021 Li, Tien-Yien; Yorke, James A. 1,140 1975 A deterministic model for gonorrhea in a nonhomogeneous population. Zbl 0344.92016 Lajmanovich, Ana; Yorke, James A. 309 1976 Chaos. An introduction to dynamical systems. Zbl 0867.58043 Alligood, Kathleen T.; Sauer, Tim D.; Yorke, James A. 286 1996 Embedology. Zbl 0943.37506 Sauer, Tim; Yorke, James A.; Casdagli, Martin 280 1991 On the existence of invariant measures for piecewise monotonic transformations. Zbl 0298.28015 Lasota, A.; Yorke, James A. 277 1974 Crises, sudden changes in chaotic attractors, and transient chaos. Zbl 0561.58029 Grebogi, Celso; Ott, Edward; Yorke, James A. 253 1983 Border-collision bifurcations including “period two to period three” for piecewise smooth systems. Zbl 0760.58031 Nusse, Helena E.; Yorke, James A. 183 1992 Gonorrhea. Transmission dynamics and control. Zbl 0542.92026 Hethcote, Herbert W.; Yorke, James A. 173 1984 Prevalence: a translation-invariant “almost every” on infinite- dimensional spaces. Zbl 0763.28009 Hunt, Brian R.; Sauer, Tim; Yorke, James A. 159 1992 Interval maps, factors of maps, and chaos. Zbl 0448.54040 Auslander, Joseph; Yorke, James A. 150 1980 Strange attractors that are not chaotic. Zbl 0588.58036 Grebogi, Celso; Ott, Edward; Pelikan, Steven; Yorke, James A. 138 1984 Border-collision bifurcations for piecewise smooth one-dimensional maps. Zbl 0885.58060 Nusse, Helena E.; Yorke, James A. 132 1995 Ordinary differential equations which yield periodic solutions of differential delay equations. Zbl 0293.34102 Kaplan, James L.; Yorke, James A. 124 1974 Fractal basin boundaries. Zbl 0588.58033 McDonald, Steven W.; Grebogi, Celso; Ott, Edward; Yorke, James A. 124 1985 The Lyapunov dimension of strange attractors. Zbl 0515.34040 Frederickson, Paul; Kaplan, James L.; Yorke, Ellen D.; Yorke, James A. 117 1983 Riddled basins. Zbl 0870.58046 Alexander, J. C.; Yorke, James A.; You, Zhiping; Kan, I. 112 1992 Finding zeroes of maps: homotopy methods that are constructive with probability one. Zbl 0398.65029 Chow, Shui-Nee; Mallet-Paret, John; Yorke, James A. 110 1978 Some equations modelling growth processes and gonorrhea epidemics. Zbl 0251.92011 Cooke, Kenneth L.; Yorke, James A. 106 1973 Preturbulence: A regime observed in a fluid flow model of Lorenz. Zbl 0443.76059 Kaplan, James L.; Yorke, James A. 101 1979 Robust chaos. Zbl 1122.37308 Banerjee, Soumitro; Yorke, James A.; Grebogi, Celso 95 1998 Topological horseshoes. Zbl 0972.37011 Kennedy, Judy; Yorke, James A. 94 2001 Asymptotic stability for one dimensional differential-delay equations. Zbl 0184.12401 Yorke, J. A. 88 1970 Bifurcations in one-dimensional piecewise smooth maps – theory and application in switching circuits. Zbl 0968.37013 Banerjee, Soumitro; Karthik, M. S.; Yuan, Guohui; Yorke, James A. 78 2000 A constructive proof of the Brouwer fixed-point theorem and computational results. Zbl 0355.65037 Kellogg, R. B.; Li, T. Y.; Yorke, J. 76 1976 Global bifurcations of periodic orbits. Zbl 0386.34040 Alexander, J. C.; Yorke, James A. 76 1978 Ergodic transformations from an interval into itself. Zbl 0371.28017 Li, Tien-Yien; Yorke, James A. 75 1978 Do numerical orbits of chaotic dynamical processes represent true orbits? Zbl 0639.65037 Hammel, Stephen M.; Yorke, James A.; Grebogi, Celso 69 1987 Basins of Wada. Zbl 0746.58054 Kennedy, Judy; Yorke, James A. 64 1991 Invariance for ordinary differential equations. Zbl 0155.14201 Yorke, J. A. 63 1967 On the stability of a periodic solution of a differential delay equation. Zbl 0241.34080 Kaplan, James L.; Yorke, James A. 61 1975 Chaos, strange attractors, and fractal basin boundaries in nonlinear dynamics. Zbl 1226.37015 Grebogi, Celso; Ott, Edward; Yorke, James A. 55 1987 The dimension of chaotic attractors. Zbl 0561.58032 Farmer, J. Doyne; Ott, Edward; Yorke, James A. 55 1983 When all solutions of \(x'=-\Sigma q_ i(t)x(t-T_ i(t))\) oscillate. Zbl 0571.34057 Hunt, Brian R.; Yorke, James A. 55 1984 The Lyapunov dimension of a nowhere differentiable attracting torus. Zbl 0558.58018 Kaplan, James L.; Mallet-Paret, John; Yorke, James A. 53 1984 Expanding maps on sets which are almost invariant: decay and chaos. Zbl 0417.28010 Pianigiani, Giulio; Yorke, James A. 51 1979 Numerical orbits of chaotic processes represent true robits. Zbl 0689.58026 Hammel, Stephan M.; Yorke, James A.; Grebogi, Celso 50 1988 Periods of periodic solutions and the Lipschitz constant. Zbl 0184.12103 Yorke, J. A. 50 1969 Prevalence. Zbl 1111.28014 Ott, William; Yorke, James A. 49 2005 Chaotic behavior of multidimensional difference equations. Zbl 0448.58020 Kaplan, James L.; Yorke, James A. 49 1979 Lower bound technique for Markov operators and iterated function systems. Zbl 0804.47033 Lasota, Andrzej; Yorke, James A. 49 1994 Border-collision bifurcations in the buck converter. Zbl 0952.94020 Yuan, Guohui; Banerjee, Soumitro; Ott, Edward; Yorke, James A. 48 1998 Perturbation theorems for ordinary differential equations. Zbl 0189.38701 Strauss, Aaron; Yorke, James A. 48 1967 Basin boundary metamorphoses: Changes in accessible boundary orbits. Zbl 0613.58018 Grebogi, Celso; Ott, Edward; Yorke, James A. 48 1987 Cascades of period-doubling bifurcations: a prerequisite for horseshoes. Zbl 0541.58039 Yorke, James A.; Alligood, Kathleen T. 47 1983 Shadowing of physical trajectories in chaotic dynamics:containment and refinement. Zbl 1050.37521 Grebogi, Celso; Hammel, Stephen M.; Yorke, James A.; Sauer, Tim 47 1990 Pseudo-orbit shadowing in the family of tent maps. Zbl 0651.58032 Coven, Ethan M.; Kan, Ittai; Yorke, James A. 46 1988 Lyapunov functions and isolating blocks. Zbl 0249.34037 Wilson, F. Wesley jun.; Yorke, James A. 46 1973 The homotopy continuation method: Numerically implementable topological procedures. Zbl 0424.58003 Alexander, J. C.; Yorke, James A. 45 1978 On the nonlinear differential delay equation x’(t) = -f(x(t),x(t-1)). Zbl 0307.34070 Kaplan, James L.; Yorke, James A. 44 1977 Attractors on an N-torus: Quasiperiodicity versus chaos. Zbl 0577.58023 Grebogi, Celso; Ott, Edward; Yorke, James A. 43 1985 Some new results and problems in the theory of differential-delay equations. Zbl 0216.11902 Halanay, A.; Yorke, J. A. 40 1971 How often do simple dynamical processes have infinitely many coexisting sinks? Zbl 0602.58036 Tedeschini-Lalli, Laura; Yorke, James A. 40 1986 Snakes: oriented families of periodic orbits, their sources, sinks, and continuation. Zbl 0487.34038 Mallet-Paret, John; Yorke, James A. 39 1982 Exact dynamical systems and the Frobenius-Perron operator. Zbl 0524.28021 Lasota, A.; Yorke, James A. 39 1982 Dynamics: numerical explorations. Accompanying computer program dynamics. Coauthored by Eric J. Kostelich. With 3 1/2” DOS Diskette. Zbl 0805.58007 Nusse, Helena E.; Yorke, James A. 39 1994 The transition to chaotic attractors with riddled basins. Zbl 0820.58043 Ott, Edward; Alexander, J. C.; Kan, I.; Sommerer, J. C.; Yorke, J. A. 38 1994 The generic property of existence of solutions of differential equations in Banach space. Zbl 0259.34070 Lasota, A.; Yorke, James A. 37 1973 Fat baker’s transformations. Zbl 0553.58020 Alexander, J. C.; Yorke, J. A. 36 1984 Perturbing uniform asymptotically stable nonlinear systems. Zbl 0182.12103 Strauss, A.; Yorke, J. A. 36 1969 Noise reduction: Finding the simplest dynamical system consistent with the data. Zbl 0705.58036 Kostelich, Eric J.; Yorke, James A. 36 1990 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 0895.58001 Nusse, Helena E.; Yorke, James A. 35 1998 The cheater’s homotopy: An efficient procedure for solving systems of polynomial equations. Zbl 0689.65032 Li, T. Y.; Sauer, Tim; Yorke, J. A. 34 1989 Controlling chaos in high-dimensional systems. Zbl 0964.37502 Auerbach, Ditza; Grebogi, Celso; Ott, Edward; Yorke, James A. 33 1992 Coping with chaos: analysis of chaotic data and the exploitation of chaotic systems. Zbl 0840.58001 33 1994 A continuous differential equation in Hilbert space without existence. Zbl 0248.34061 Yorke, James A. 33 1970 A chaos lemma. Zbl 0991.37015 Kennedy, Judy; Koçak, Sahin; Yorke, James A. 32 2001 Global Hopf bifurcation from a multiple eigenvalue. Zbl 0407.47039 Chow, Shui-Nee; Mallet-Paret, John; Yorke, James A. 32 1978 No division implies chaos. Zbl 0495.58018 Li, Tien-Yien; Misiurewicz, Michal; Pianigiani, Giulio; Yorke, James A. 31 1982 Scaling behavior of chaotic systems with riddled basins. Zbl 0972.37514 Ott, Edward; Sommerer, John C.; Alexander, James C.; Kan, Ittai; Yorke, James A. 30 1993 Wada basin boundaries and basin cells. Zbl 0886.58072 Nusse, Helena E.; Yorke, James A. 30 1996 Bounds for periodic solutions of differential equations in Banach spaces. Zbl 0261.34035 Lasota, A.; Yorke, James A. 30 1971 The implicit function theorem and the global methods of cohomology. Zbl 0321.58006 Alexander, J. C.; Yorke, James A. 30 1976 Basins of attraction. Zbl 1226.37009 Nusse, Helena E.; Yorke, James A. 29 1996 Asymptotic periodicity of the iterates of Markov operators. Zbl 0564.47015 Lasota, A.; Li, T. Y.; Yorke, J. A. 29 1984 Explosions of chaotic sets. Zbl 0959.37042 Robert, Carl; Alligood, Kathleen T.; Ott, Edward; Yorke, James A. 29 2000 A procedure for finding numerical trajectories on chaotic saddles. Zbl 0728.58027 Nusse, Helena E.; Yorke, James A. 29 1989 Existence o f solutions of two-point boundary value problems for nonlinear systems. Zbl 0263.34016 Lasota, A.; Yorke, James A. 28 1972 Rigorous verification of trajectories for the computer simulation of dynamical systems. Zbl 0736.58032 Sauer, Tim; Yorke, James A. 28 1991 Calculations stable and unstable manifolds. Zbl 0874.58053 You, Zhiping; Kostelich, Eric J.; Yorke, James A. 28 1991 How often are chaotic saddles nonhyperbolic? Zbl 0785.58035 Lai, Ying-Cheng; Grebogi, Celso; Yorke, James A.; Kan, Ittai 27 1993 On asymptotically autonomous differential equations. Zbl 0189.38502 Strauss, Aaron; Yorke, James A. 24 1967 Estimating correlation dimension from a chaotic time series: When does plateau onset occur? Zbl 0803.58038 Ding, Mingzhou; Grebogi, Celso; Ott, Edward; Sauer, Tim; Yorke, James A. 24 1993 Numerical solution of a class of deficient polynomial systems. Zbl 0625.65039 Li, Tien-Yien; Sauer, Tim; Yorke, James A. 23 1987 Controllability of linear oscillatory systems using positive controls. Zbl 0215.30202 Saperstone, S. H.; Yorke, J. A. 22 1971 Accessible saddles on fractal basin boundaries. Zbl 0767.58023 Alligood, Kathleen T.; Yorke, James A. 22 1992 Inverse limits and an implicitly defined difference equation from economics. Zbl 1170.54014 Kennedy, Judy; Stockman, David R.; Yorke, James A. 21 2007 A periodic orbit index which is a bifurcation invariant. Zbl 0549.34045 Chow, Shui-Nee; Mallet-Paret, John; Yorke, James A. 21 1983 Is every approximate trajectory of some process near an exact trajectory of a nearby process? Zbl 0697.58036 Nusse, Helena E.; Yorke, James A. 21 1988 Unstable dimension variability: A source of nonhyperbolicity in chaotic systems. Zbl 0925.58048 Kostelich, Eric J.; Kan, Ittai; Ott, Edward; Yorke, James A. 21 1997 Multiple coexisting attractors, basin boundaries and basic sets. Zbl 0668.58035 Battelino, Peter M.; Grebogi, Celso; Ott, Edward; Yorke, James A.; Yorke, Ellen D. 20 1988 An open set of maps for which every point is absolutely nonshadowable. Zbl 0996.37025 Yuan, Guo-Cheng; Yorke, James A. 20 2000 Antimonotonicity: Concurrent creation and annihilation of periodic orbits. Zbl 0765.58020 Kan, Ittai; Koçak, Hüseyin; Yorke, James A. 19 1992 Are the dimensions of a set and its image equal under typical smooth functions? Zbl 0884.28006 Sauer, Timothy D.; Yorke, James A. 19 1997 Prevalence: An addendum. Zbl 0782.28007 Hunt, Brian R.; Sauer, Tim; Yorke, James A. 18 1993 Using the sensitive dependence of chaos (the “butterfly effect”) to direct trajectories in an experimental chaotic system. Zbl 0969.37512 Shinbrot, Troy; Ditto, William; Grebogi, Celso; Ott, Edward; Spano, Mark; Yorke, James A. 18 1992 Asymptotic behaviour an d exponential stability criteria for differential delay equations. Zbl 0268.34079 Grossman, Steven E.; Yorke, James A. 17 1972 On the existence of invariant measures for transformations with strictly turbulent trajectories. Zbl 0357.28018 Lasota, Andrzej; Yorke, James A. 17 1977 How many delay coordinates do you need? Zbl 0871.58066 Sauer, Tim; Yorke, James A. 16 1993 When Cantor sets intersect thickly. Zbl 0783.28006 Hunt, Brian R.; Kan, Ittai; Yorke, James A. 16 1993 Structured systems of nonlinear equations. Zbl 1518.93019 Jahedi, Sana; Sauer, Timothy; Yorke, James A. 1 2023 Extinction of multiple populations and a team of die-out Lyapunov functions. Zbl 1528.37073 Akhavan, Naghmeh; Yorke, James A. 1 2023 Robustness of solutions of almost every system of equations. Zbl 1497.65067 Jahedi, Sana; Sauer, Timothy; Yorke, James A. 4 2022 Piecewise linear maps with heterogeneous chaos. Zbl 1476.37038 Saiki, Yoshitaka; Takahasi, Hiroki; Yorke, James A. 2 2021 The graph of the logistic map is a tower. Zbl 1484.37028 De Leo, Roberto; Yorke, James A. 1 2021 Population collapse in elite-dominated societies: a differential equations model without differential equations. Zbl 1467.34046 Akhavan, Naghmeh; Yorke, James A. 2 2020 Solving the Babylonian problem of quasiperiodic rotation rates. Zbl 1441.37094 Das, Suddhasattwa; Saiki, Yoshitaka; Sander, Evelyn; Yorke, James A. 2 2019 Super convergence of ergodic averages for quasiperiodic orbits. Zbl 1384.37010 Das, Suddhasattwa; Yorke, James A. 12 2018 Low-dimensional paradigms for high-dimensional hetero-chaos. Zbl 1400.37102 Saiki, Yoshitaka; Sanjuán, Miguel A. F.; Yorke, James A. 2 2018 Quantitative quasiperiodicity. Zbl 1384.37009 Das, Suddhasattwa; Saiki, Yoshitaka; Sander, Evelyn; Yorke, James A. 15 2017 Multichaos from quasiperiodicity. Zbl 1381.37015 Das, Suddhasattwa; Yorke, James A. 5 2017 Partially controlling transient chaos in the Lorenz equations. Zbl 1404.37040 Capeáns, Rubén; Sabuco, Juan; Sanjuán, Miguel A. F.; Yorke, James A. 4 2017 Avoiding extremes using partial control. Zbl 1336.93099 Das, Suddhasattwa; Yorke, James 2 2016 The many facets of chaos. Zbl 1314.37022 Sander, Evelyn; Yorke, James A. 9 2015 Uncertainty as to whether or not a system has a chaotic attractor. Zbl 1357.37065 Joglekar, Madhura; Ott, Edward; Yorke, James A. 1 2015 Modeling a chaotic machine’s dynamics as a linear map on a “square sphere”. Zbl 1330.37033 Halbert, J. T.; Yorke, James A. 2 2014 A period-doubling cascade precedes chaos for planar maps. Zbl 1323.37021 Sander, Evelyn; Yorke, James A. 5 2013 Finding safety in partially controllable chaotic systems. Zbl 1256.93023 Sabuco, Juan; Zambrano, Samuel; Sanjuán, Miguel A. F.; Yorke, James A. 13 2012 Dynamics of partial control. Zbl 1319.37026 Sabuco, Juan; Sanjuán, Miguel A. F.; Yorke, James A. 10 2012 Period-doubling cascades galore. Zbl 1223.37065 Sander, Evelyn; Yorke, James A. 15 2011 Fixed points indices and period-doubling cascades. Zbl 1205.37064 Joglekar, Madhura R.; Sander, Evelyn; Yorke, James A. 6 2010 A classification of explosions in dimension one. Zbl 1160.37378 Sander, E.; Yorke, J. A. 4 2009 Period-doubling cascades for large perturbations of Hénon families. Zbl 1218.37015 Sander, Evelyn; Yorke, James A. 3 2009 Modeling HIV outbreaks: The male to female prevalence ratio in the core population. Zbl 1157.92027 Rapatski, Brandy; Yorke, James 2 2009 Stability of TCP dynamics in large data networks. Zbl 1167.37048 Halper, Russell D.; Harder, Eric J.; Hunt, Brian R.; Yorke, James A. 2 2009 The inverse limits approach to chaos. Zbl 1161.37057 Kennedy, Judy; Stockman, David R.; Yorke, James A. 11 2008 Shadowing in higher dimensions. Zbl 1151.37025 Kennedy, Judy; Yorke, James A. 1 2008 Inverse limits and an implicitly defined difference equation from economics. Zbl 1170.54014 Kennedy, Judy; Stockman, David R.; Yorke, James A. 21 2007 Spurious Lyapunov exponents computed from data. Zbl 1210.34069 Tempkin, Joshua A.; Yorke, James A. 5 2007 Bifurcations of basins of attraction from the view point of prime ends. Zbl 1118.37028 Nusse, Helena E.; Yorke, James A. 3 2007 Explosions in dimensions one through three. Zbl 1178.37045 Alligood, K. T.; Sander, E.; Yorke, J. A. 2 2007 Prevalence. Zbl 1111.28014 Ott, William; Yorke, James A. 49 2005 Estimating the state of large spatio-temporally chaotic systems. Zbl 1209.37112 Ott, 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 1077.37049 Brin, Michael; Ott, William; Yorke, James A. 1 2004 Learning about reality from observation. Zbl 1088.37007 Ott, William; Yorke, James A. 10 2003 Characterizing the basins with the most entangled boundaries. Zbl 1058.37020 Nusse, Helena E.; Yorke, James A. 3 2003 Generalized Hénon difference equations with delay. Zbl 1058.39014 Kennedy, Judy A.; Yorke, James A. 3 2003 Explosions: Global bifurcations at heteroclinic tangencies. Zbl 1018.37031 Alligood, K.; Sander, E.; Yorke, J. 6 2002 Shadowability of chaotic dynamical systems. Zbl 1104.37300 Grebogi, Celso; Poon, Leon; Sauer, Tim; Yorke, James A.; Auerbach, Ditza 4 2002 Measurements of a physical process satisfy a difference equation. Zbl 1004.37063 Tempkin, Joshua A.; Yorke, James A. 2 2002 A chaos lemma with applications to Hénon-like difference equations. Zbl 1062.39017 Kennedy, Judy A.; Yorke, James A. 1 2002 Topological horseshoes. Zbl 0972.37011 Kennedy, Judy; Yorke, James A. 94 2001 A chaos lemma. Zbl 0991.37015 Kennedy, Judy; Koçak, Sahin; Yorke, James A. 32 2001 Bifurcations in one-dimensional piecewise smooth maps – theory and application in switching circuits. Zbl 0968.37013 Banerjee, Soumitro; Karthik, M. S.; Yuan, Guohui; Yorke, James A. 78 2000 Explosions of chaotic sets. Zbl 0959.37042 Robert, Carl; Alligood, Kathleen T.; Ott, Edward; Yorke, James A. 29 2000 An open set of maps for which every point is absolutely nonshadowable. Zbl 0996.37025 Yuan, Guo-Cheng; Yorke, James A. 20 2000 Finding all periodic orbits of maps using Newton methods: Sizes of basins. Zbl 0939.37008 Miller, J. R.; Yorke, J. A. 10 2000 Collapsing of chaos in one dimensional maps. Zbl 0969.37037 Yuan, Guocheng; Yorke, James A. 8 2000 Correlations in DNA sequences across the three domains of life. Zbl 0974.62106 Guharay, Sabyasachi; Hunt, Brian R.; Yorke, James A.; White, Owen R. 3 2000 Topology in chaotic scattering. Zbl 1369.37049 Sweet, David; Ott, Edward; Yorke, James A. 14 1999 Bifurcation rigidity. Zbl 0951.37010 Hunt, 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 0940.37016 Kennedy, Judy; Sanjuan, A. F.; Yorke, James A.; Grebogi, Celso 4 1999 Robust chaos. Zbl 1122.37308 Banerjee, Soumitro; Yorke, James A.; Grebogi, Celso 95 1998 Border-collision bifurcations in the buck converter. Zbl 0952.94020 Yuan, Guohui; Banerjee, Soumitro; Ott, Edward; Yorke, James A. 48 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 0895.58001 Nusse, Helena E.; Yorke, James A. 35 1998 Dynamical properties of a simple mechanical system with a large number of coexisting periodic attractors. Zbl 0963.70556 Feudel, Ulrike; Grebogi, Celso; Poon, Leon; Yorke, James A. 12 1998 Outer tangency bifurcations of chaotic sets. Zbl 0986.37025 Robert, Carl; Alligood, Kathleen T.; Ott, Edward; Yorke, James A. 2 1998 Modeling continuous mixing of granular solids in a rotating drum. Zbl 1194.74038 Peratt, Barry A.; Yorke, James A. 2 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 0959.37055 Nusse, Helena E.; Yorke, James A. 1 1998 Dynamical system topology preserved in the presence of noise. Zbl 0956.37012 Kennedy, Judy A.; Yorke, James A. 1 1998 Unstable dimension variability: A source of nonhyperbolicity in chaotic systems. Zbl 0925.58048 Kostelich, Eric J.; Kan, Ittai; Ott, Edward; Yorke, James A. 21 1997 Are the dimensions of a set and its image equal under typical smooth functions? Zbl 0884.28006 Sauer, Timothy D.; Yorke, James A. 19 1997 Indecomposable continua in dynamical systems with noise: Fluid flow past an array of cylinders. Zbl 0967.76546 Sanjuan, 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 0925.76259 Jacobs, Joeri; Ott, Edward; Antonsen, Thomas; Yorke, James 6 1997 Correlation dimension for iterated function systems. Zbl 0897.28006 Chin, Wai; Hunt, Brian; Yorke, James A. 5 1997 The structure of basins of attraction and their trapping regions. Zbl 0893.58039 Nusse, Helena E.; Yorke, James A. 5 1997 The topology of stirred fluids. Zbl 0919.54026 Kennedy, Judy A.; Yorke, James A. 4 1997 Chaos. An introduction to dynamical systems. Zbl 0867.58043 Alligood, Kathleen T.; Sauer, Tim D.; Yorke, James A. 286 1996 Wada basin boundaries and basin cells. Zbl 0886.58072 Nusse, Helena E.; Yorke, James A. 30 1996 Basins of attraction. Zbl 1226.37009 Nusse, Helena E.; Yorke, James A. 29 1996 Intermingled basins for the triangle map. Zbl 0857.58028 Alexander, James C.; Hunt, Brian R.; Kan, Ittai; Yorke, James A. 9 1996 Plotting stable manifolds: Error estimates and noninvertible maps. Zbl 0887.65080 Kostelich, Eric J.; Yorke, James A.; You, Zhiping 7 1996 When the long-time behavior is independent of the initial density. Zbl 0846.47005 Lasota, Andrzej; Yorke, James A. 5 1996 Pseudocircles, diffeomorphisms and perturbable dynamical systems. Zbl 0862.54034 Kennedy, Judy A.; Yorke, James A. 3 1996 Fractal properties of critical invariant curves. Zbl 0957.37022 Hunt, Brian R.; Khanin, Konstantin M.; Sinai, Yakov G.; Yorke, James A. 2 1996 Border-collision bifurcations for piecewise smooth one-dimensional maps. Zbl 0885.58060 Nusse, Helena E.; Yorke, James A. 132 1995 Bizarre topology is natural in dynamical systems. Zbl 0868.58055 Kennedy, Judy A.; Yorke, James A. 12 1995 Persistent homoclinic tangencies in the Hénon family. Zbl 0889.58032 Kan, Ittai; Koçak, Hüseyin; Yorke, James A. 2 1995 Lower bound technique for Markov operators and iterated function systems. Zbl 0804.47033 Lasota, Andrzej; Yorke, James A. 49 1994 Dynamics: numerical explorations. Accompanying computer program dynamics. Coauthored by Eric J. Kostelich. With 3 1/2” DOS Diskette. Zbl 0805.58007 Nusse, Helena E.; Yorke, James A. 39 1994 The transition to chaotic attractors with riddled basins. Zbl 0820.58043 Ott, Edward; Alexander, J. C.; Kan, I.; Sommerer, J. C.; Yorke, J. A. 38 1994 Coping with chaos: analysis of chaotic data and the exploitation of chaotic systems. Zbl 0840.58001 33 1994 Pseudocircles in dynamical systems. Zbl 0819.54020 Kennedy, Judy A.; Yorke, James A. 12 1994 Scaling behavior of chaotic systems with riddled basins. Zbl 0972.37514 Ott, Edward; Sommerer, John C.; Alexander, James C.; Kan, Ittai; Yorke, James A. 30 1993 How often are chaotic saddles nonhyperbolic? Zbl 0785.58035 Lai, Ying-Cheng; Grebogi, Celso; Yorke, James A.; Kan, Ittai 27 1993 Estimating correlation dimension from a chaotic time series: When does plateau onset occur? Zbl 0803.58038 Ding, Mingzhou; Grebogi, Celso; Ott, Edward; Sauer, Tim; Yorke, James A. 24 1993 Prevalence: An addendum. Zbl 0782.28007 Hunt, Brian R.; Sauer, Tim; Yorke, James A. 18 1993 How many delay coordinates do you need? Zbl 0871.58066 Sauer, Tim; Yorke, James A. 16 1993 When Cantor sets intersect thickly. Zbl 0783.28006 Hunt, Brian R.; Kan, Ittai; Yorke, James A. 16 1993 The forced damped pendulum and the Wada property. Zbl 0807.58028 Kennedy, Judy; Yorke, James A. 1 1993 Maxwell on chaos. Zbl 0800.00024 Hunt, Brian R.; Yorke, James A. 1 1993 Border-collision bifurcations including “period two to period three” for piecewise smooth systems. Zbl 0760.58031 Nusse, Helena E.; Yorke, James A. 183 1992 Prevalence: a translation-invariant “almost every” on infinite- dimensional spaces. Zbl 0763.28009 Hunt, Brian R.; Sauer, Tim; Yorke, James A. 159 1992 Riddled basins. Zbl 0870.58046 Alexander, J. C.; Yorke, James A.; You, Zhiping; Kan, I. 112 1992 Controlling chaos in high-dimensional systems. Zbl 0964.37502 Auerbach, Ditza; Grebogi, Celso; Ott, Edward; Yorke, James A. 33 1992 Accessible saddles on fractal basin boundaries. Zbl 0767.58023 Alligood, Kathleen T.; Yorke, James A. 22 1992 Antimonotonicity: Concurrent creation and annihilation of periodic orbits. Zbl 0765.58020 Kan, 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 0969.37512 Shinbrot, Troy; Ditto, William; Grebogi, Celso; Ott, Edward; Spano, Mark; Yorke, James A. 18 1992 The equality of fractal dimension and uncertainty dimension for certain dynamical systems. Zbl 0770.58030 Nusse, Helena E.; Yorke, James A. 4 1992 Embedology. Zbl 0943.37506 Sauer, Tim; Yorke, James A.; Casdagli, Martin 280 1991 ...and 136 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 8,524 Authors 112 Yorke, James Alan 66 Chen, Guanrong 66 Gardini, Laura 45 Grebogi, Celso 42 Oprocha, Piotr 38 Sanjuán, Miguel A. F. 36 Avrutin, Viktor 36 Boyarsky, Abraham 30 Wu, Xinxing 30 Zanolin, Fabio 28 Wang, Xingyuan 26 Li, Tien-Yien 26 Shi, Yuming 25 Sushko, Iryna 24 Yang, Xiaosong 23 Aihara, Kazuyuki 23 Cao, Jinde 23 Góra, Paweł 23 Salarieh, Hassan 22 Caldas, Iberê L. 22 Kurths, Jürgen 22 Li, Risong 22 Ott, Edward 22 Wang, Lidong 21 Cánovas, Jose S. 21 Din, Qamar 21 Ding, Jiu 21 Yu, Bo 20 Lai, Yingcheng 20 Li, Jian 20 Llibre, Jaume 20 Schanz, Michael 19 Akhmet, Marat Ubaydulla 19 Alasty, Aria 19 Bollt, Erik M. 19 Ye, Xiangdong 18 Huang, Yu 18 Park, Juhyun (Jessie) 17 Bashkirtseva, Irina Adol’fovna 17 Simpson, David John Warwick 17 Yakubu, Abdul-Aziz 16 Alexander, James Crew 16 Andres, Jan 16 Banerjee, Soumitro 16 Kuznetsov, Sergey P. 16 Lasota, Andrzej 16 Lu, Tianxiu 16 Mosekilde, Erik 16 Nussbaum, Roger David 16 Nusse, Helena Engelina 16 Peris, Alfredo 16 Sauer, Timothy D. 16 Sprott, Julien Clinton 16 Wu, Jianhong 15 Fu, Xinchu 15 Hunt, Brian R. 15 Kapitaniak, Tomasz 15 Viana, Ricardo Luiz 15 Yan, Jun-Juh 15 Yu, Pei 15 Zhusubaliev, Zhanybaĭ Tursunbaevich 14 Bowong, Samuel 14 Castillo-Chavez, Carlos 14 García Guirao, Juan Luis 14 Jing, Zhujun 14 Kennedy, Judy A. 14 Leonov, Gennadiĭ Alekseevich 14 Ryashko, Lev Borisovich 14 Szarek, Tomasz Jakub 14 Tramontana, Fabio 14 Zhang, Yongxiang 13 Barrio, Roberto 13 Bischi, Gian-Italo 13 Boroński, Jan P. 13 Das, Suddhasattwa 13 Horbacz, Katarzyna 13 Huang, Wen 13 Jiang, Daqing 13 Liao, Gongfu 13 Mallet-Paret, John Joseph 13 Mees, Alistair I. 13 Osinga, Hinke Maria 13 Wei, Junjie 12 Baptista, Murilo S. 12 Das, Ruchi 12 Elsadany, Abdelalim A. 12 Fournier-Prunaret, Danièle 12 Gonchenko, Sergey V. 12 Hethcote, Herbert W. 12 Oertel-Jäger, Tobias Hendrik 12 Jin, Zhen 12 Krauskopf, Bernd 12 Li, Xianfeng 12 Li, Zongcheng 12 Liang, Wei 12 Lu, Junan 12 Meiss, James D. 12 Odibat, Zaid M. 12 Robinson, James Cooper 12 Wang, Huoyun ...and 8,424 more Authors all top 5 Cited in 642 Serials 653 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 564 Chaos, Solitons and Fractals 341 Chaos 305 Physica D 226 Journal of Mathematical Analysis and Applications 188 Nonlinear Dynamics 187 Journal of Differential Equations 150 Applied Mathematics and Computation 144 Communications in Nonlinear Science and Numerical Simulation 116 Mathematical Biosciences 97 Nonlinear Analysis. 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Mathematical, Physical and Engineering Sciences 15 Discrete and Continuous Dynamical Systems. Series S 14 International Journal of Systems Science 14 Journal of Mathematical Physics 14 International Journal of Computer Mathematics 14 Economic Theory 13 Fuzzy Sets and Systems 13 Journal of Mathematical Economics 13 Journal of Applied Mathematics 12 Modern Physics Letters B 12 Mathematical Notes 12 Rocky Mountain Journal of Mathematics 12 ZAMP. Zeitschrift für angewandte Mathematik und Physik 12 Numerische Mathematik 12 Neural Networks 12 Japan Journal of Industrial and Applied Mathematics 12 Physics of Fluids 12 Computational and Applied Mathematics ...and 542 more Serials all top 5 Cited in 62 Fields 3,952 Dynamical systems and ergodic theory (37-XX) 2,139 Ordinary differential equations (34-XX) 1,093 Systems theory; control (93-XX) 1,056 Biology and other natural sciences (92-XX) 482 Numerical analysis (65-XX) 376 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 363 Measure and integration (28-XX) 354 Mechanics of particles and systems (70-XX) 346 General topology (54-XX) 318 Difference and functional equations (39-XX) 300 Probability theory and stochastic processes (60-XX) 263 Partial differential equations (35-XX) 250 Operator theory (47-XX) 213 Information and communication theory, circuits (94-XX) 173 Fluid mechanics (76-XX) 167 Real functions (26-XX) 161 Computer science (68-XX) 154 Statistics (62-XX) 148 Operations research, mathematical programming (90-XX) 134 Global analysis, analysis on manifolds (58-XX) 128 Statistical mechanics, structure of matter (82-XX) 80 Calculus of variations and optimal control; optimization (49-XX) 79 Mechanics of deformable solids (74-XX) 68 Number theory (11-XX) 56 Combinatorics (05-XX) 56 Functional analysis (46-XX) 55 Quantum theory (81-XX) 54 Algebraic topology (55-XX) 52 Integral equations (45-XX) 52 Optics, electromagnetic theory (78-XX) 42 Manifolds and cell complexes (57-XX) 33 Geophysics (86-XX) 31 Linear and multilinear algebra; matrix theory (15-XX) 30 Mathematical logic and foundations (03-XX) 30 Functions of a complex variable (30-XX) 25 Harmonic analysis on Euclidean spaces (42-XX) 25 Differential geometry (53-XX) 23 Algebraic geometry (14-XX) 22 General and overarching topics; collections (00-XX) 22 History and biography (01-XX) 20 Approximations and expansions (41-XX) 18 Field theory and polynomials (12-XX) 17 Topological groups, Lie groups (22-XX) 16 Classical thermodynamics, heat transfer (80-XX) 13 Group theory and generalizations (20-XX) 12 Relativity and gravitational theory (83-XX) 11 Nonassociative rings and algebras (17-XX) 11 Astronomy and astrophysics (85-XX) 10 Several complex variables and analytic spaces (32-XX) 10 Convex and discrete geometry (52-XX) 9 Commutative algebra (13-XX) 9 Special functions (33-XX) 9 Abstract harmonic analysis (43-XX) 6 Associative rings and algebras (16-XX) 5 Sequences, series, summability (40-XX) 4 Potential theory (31-XX) 4 Integral transforms, operational calculus (44-XX) 4 Mathematics education (97-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Category theory; homological algebra (18-XX) 2 \(K\)-theory (19-XX) 2 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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