×
Author ID: yorke.james-a Recent zbMATH articles by "Yorke, James Alan"
Published as: Yorke, James A.; Yorke, J. A.; Yorke, James; Yorke, J.
External Links: MGP · ORCID · Wikidata · GND · IdRef
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 20 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

Publications by Year

Citations contained in zbMATH Open

235 Publications have been cited 9,399 times in 7,162 Documents Cited by Year
Controlling chaos. Zbl 0964.37501
Ott, Edward; Grebogi, Celso; Yorke, James A.
1990
Period three implies chaos. Zbl 0351.92021
Li, Tien-Yien; Yorke, James A.
1975
A deterministic model for gonorrhea in a nonhomogeneous population. Zbl 0344.92016
Lajmanovich, Ana; Yorke, James A.
305
1976
Chaos. An introduction to dynamical systems. Zbl 0867.58043
Alligood, Kathleen T.; Sauer, Tim D.; Yorke, James A.
278
1996
On the existence of invariant measures for piecewise monotonic transformations. Zbl 0298.28015
Lasota, A.; Yorke, James A.
274
1974
Embedology. Zbl 0943.37506
Sauer, Tim; Yorke, James A.; Casdagli, Martin
270
1991
Crises, sudden changes in chaotic attractors, and transient chaos. Zbl 0561.58029
Grebogi, Celso; Ott, Edward; Yorke, James A.
249
1983
Border-collision bifurcations including “period two to period three” for piecewise smooth systems. Zbl 0760.58031
Nusse, Helena E.; Yorke, James A.
182
1992
Gonorrhea. Transmission dynamics and control. Zbl 0542.92026
Hethcote, Herbert W.; Yorke, James A.
172
1984
Prevalence: a translation-invariant “almost every” on infinite- dimensional spaces. Zbl 0763.28009
Hunt, Brian R.; Sauer, Tim; Yorke, James A.
157
1992
Interval maps, factors of maps, and chaos. Zbl 0448.54040
Auslander, Joseph; Yorke, James A.
144
1980
Strange attractors that are not chaotic. Zbl 0588.58036
Grebogi, Celso; Ott, Edward; Pelikan, Steven; Yorke, James A.
133
1984
Border-collision bifurcations for piecewise smooth one-dimensional maps. Zbl 0885.58060
Nusse, Helena E.; Yorke, James A.
131
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.
121
1985
The Lyapunov dimension of strange attractors. Zbl 0515.34040
Frederickson, Paul; Kaplan, James L.; Yorke, Ellen D.; Yorke, James A.
116
1983
Riddled basins. Zbl 0870.58046
Alexander, J. C.; Yorke, James A.; You, Zhiping; Kan, I.
111
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.
109
1978
Some equations modelling growth processes and gonorrhea epidemics. Zbl 0251.92011
Cooke, Kenneth L.; Yorke, James A.
103
1973
Preturbulence: A regime observed in a fluid flow model of Lorenz. Zbl 0443.76059
Kaplan, James L.; Yorke, James A.
100
1979
Robust chaos. Zbl 1122.37308
Banerjee, Soumitro; Yorke, James A.; Grebogi, Celso
93
1998
Topological horseshoes. Zbl 0972.37011
Kennedy, Judy; Yorke, James A.
93
2001
Asymptotic stability for one dimensional differential-delay equations. Zbl 0184.12401
Yorke, J. A.
87
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.
77
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
68
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
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
Chaos, strange attractors, and fractal basin boundaries in nonlinear dynamics. Zbl 1226.37015
Grebogi, Celso; Ott, Edward; Yorke, James A.
53
1987
The Lyapunov dimension of a nowhere differentiable attracting torus. Zbl 0558.58018
Kaplan, James L.; Mallet-Paret, John; Yorke, James A.
53
1984
The dimension of chaotic attractors. Zbl 0561.58032
Farmer, J. Doyne; Ott, Edward; Yorke, James A.
52
1983
Periods of periodic solutions and the Lipschitz constant. Zbl 0184.12103
Yorke, J. A.
50
1969
Expanding maps on sets which are almost invariant: decay and chaos. Zbl 0417.28010
Pianigiani, Giulio; Yorke, James A.
50
1979
Numerical orbits of chaotic processes represent true robits. Zbl 0689.58026
Hammel, Stephan M.; Yorke, James A.; Grebogi, Celso
50
1988
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
Basin boundary metamorphoses: Changes in accessible boundary orbits. Zbl 0613.58018
Grebogi, Celso; Ott, Edward; Yorke, James A.
48
1987
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
Prevalence. Zbl 1111.28014
Ott, William; Yorke, James A.
47
2005
Perturbation theorems for ordinary differential equations. Zbl 0189.38701
Strauss, Aaron; Yorke, James A.
46
1967
Cascades of period-doubling bifurcations: a prerequisite for horseshoes. Zbl 0541.58039
Yorke, James A.; Alligood, Kathleen T.
46
1983
Lyapunov functions and isolating blocks. Zbl 0249.34037
Wilson, F. Wesley jun.; Yorke, James A.
45
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
Pseudo-orbit shadowing in the family of tent maps. Zbl 0651.58032
Coven, Ethan M.; Kan, Ittai; Yorke, James A.
44
1988
Attractors on an N-torus: Quasiperiodicity versus chaos. Zbl 0577.58023
Grebogi, Celso; Ott, Edward; Yorke, James A.
43
1985
Chaotic behavior of multidimensional difference equations. Zbl 0448.58020
Kaplan, James L.; Yorke, James A.
41
1979
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.
39
1986
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
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
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
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
Fat baker’s transformations. Zbl 0553.58020
Alexander, J. C.; Yorke, J. A.
34
1984
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
The cheater’s homotopy: An efficient procedure for solving systems of polynomial equations. Zbl 0689.65032
Li, T. Y.; Sauer, Tim; Yorke, J. A.
33
1989
Global Hopf bifurcation from a multiple eigenvalue. Zbl 0407.47039
Chow, Shui-Nee; Mallet-Paret, John; Yorke, James A.
32
1978
A chaos lemma. Zbl 0991.37015
Kennedy, Judy; Koçak, Sahin; Yorke, James A.
32
2001
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
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
Wada basin boundaries and basin cells. Zbl 0886.58072
Nusse, Helena E.; Yorke, James A.
30
1996
No division implies chaos. Zbl 0495.58018
Li, Tien-Yien; Misiurewicz, Michal; Pianigiani, Giulio; Yorke, James A.
30
1982
Explosions of chaotic sets. Zbl 0959.37042
Robert, Carl; Alligood, Kathleen T.; Ott, Edward; Yorke, James A.
29
2000
Basins of attraction. Zbl 1226.37009
Nusse, Helena E.; Yorke, James A.
29
1996
A procedure for finding numerical trajectories on chaotic saddles. Zbl 0728.58027
Nusse, Helena E.; Yorke, James A.
29
1989
Asymptotic periodicity of the iterates of Markov operators. Zbl 0564.47015
Lasota, A.; Li, T. Y.; Yorke, J. A.
29
1984
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
Existence o f solutions of two-point boundary value problems for nonlinear systems. Zbl 0263.34016
Lasota, A.; Yorke, James A.
28
1972
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
On asymptotically autonomous differential equations. Zbl 0189.38502
Strauss, Aaron; Yorke, James A.
23
1967
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
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
Accessible saddles on fractal basin boundaries. Zbl 0767.58023
Alligood, Kathleen T.; Yorke, James A.
21
1992
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
An open set of maps for which every point is absolutely nonshadowable. Zbl 0996.37025
Yuan, Guo-Cheng; Yorke, James A.
20
2000
Inverse limits and an implicitly defined difference equation from economics. Zbl 1170.54014
Kennedy, Judy; Stockman, David R.; Yorke, James A.
20
2007
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
A periodic orbit index which is a bifurcation invariant. Zbl 0549.34045
Chow, Shui-Nee; Mallet-Paret, John; Yorke, James A.
19
1983
Multiple coexisting attractors, basin boundaries and basic sets. Zbl 0668.58035
Battelino, Peter M.; Grebogi, Celso; Ott, Edward; Yorke, James A.; Yorke, Ellen D.
19
1988
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
Prevalence: An addendum. Zbl 0782.28007
Hunt, Brian R.; Sauer, Tim; Yorke, James A.
18
1993
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
Differential inequalities and non-Lipschitz scalar functions. Zbl 0231.34047
Yorke, James A.
15
1970
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 07741161
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
The graph of the logistic map is a tower. Zbl 1484.37028
De Leo, Roberto; Yorke, James A.
1
2021
Piecewise linear maps with heterogeneous chaos. Zbl 1476.37038
Saiki, Yoshitaka; Takahasi, Hiroki; 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.
1
2019
Super convergence of ergodic averages for quasiperiodic orbits. Zbl 1384.37010
Das, Suddhasattwa; Yorke, James A.
9
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.
13
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.
10
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.
20
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.
47
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
Generalized Hénon difference equations with delay. Zbl 1058.39014
Kennedy, Judy A.; Yorke, James A.
3
2003
Characterizing the basins with the most entangled boundaries. Zbl 1058.37020
Nusse, Helena E.; 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.
93
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.
77
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
93
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.
278
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.
2
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.
131
1995
Bizarre topology is natural in dynamical systems. Zbl 0868.58055
Kennedy, Judy A.; Yorke, James A.
11
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.
11
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.
15
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.
182
1992
Prevalence: a translation-invariant “almost every” on infinite- dimensional spaces. Zbl 0763.28009
Hunt, Brian R.; Sauer, Tim; Yorke, James A.
157
1992
Riddled basins. Zbl 0870.58046
Alexander, J. C.; Yorke, James A.; You, Zhiping; Kan, I.
111
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.
21
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
270
1991
...and 135 more Documents
all top 5

Cited by 8,391 Authors

111 Yorke, James Alan
66 Chen, Guanrong
65 Gardini, Laura
45 Grebogi, Celso
40 Oprocha, Piotr
38 Sanjuán, Miguel A. F.
36 Boyarsky, Abraham
35 Avrutin, Viktor
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 Ott, Edward
22 Wang, Lidong
21 Cánovas, Jose S.
21 Ding, Jiu
21 Li, Risong
21 Yu, Bo
20 Din, Qamar
20 Lai, Yingcheng
20 Li, Jian
20 Schanz, Michael
19 Akhmet, Marat Ubaydulla
19 Alasty, Aria
19 Bollt, Erik M.
19 Llibre, Jaume
19 Ye, Xiangdong
18 Huang, Yu
18 Park, Juhyun (Jessie)
17 Bashkirtseva, Irina Adol’fovna
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 Simpson, David John Warwick
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 Jing, Zhujun
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 García Guirao, Juan Luis
13 Horbacz, Katarzyna
13 Huang, Wen
13 Jiang, Daqing
13 Kennedy, Judy A.
13 Liao, Gongfu
13 Mallet-Paret, John Joseph
13 Mees, Alistair I.
13 Osinga, Hinke Maria
13 Wei, Junjie
12 Baptista, Murilo S.
12 Boroński, Jan P.
12 Das, Suddhasattwa
12 Elsadany, Abdelalim A.
12 Hethcote, Herbert W.
12 Jin, Zhen
12 Krauskopf, Bernd
12 Li, Xianfeng
12 Li, Zongcheng
12 Lu, Junan
12 Meiss, James D.
12 Odibat, Zaid M.
12 Robinson, James Cooper
12 Wang, Huoyun
12 Watson, Layne Terry
12 Xie, Jianhua
11 Carroll, Thomas L.
11 di Bernardo, Mario
11 Fen, Mehmet Onur
...and 8,291 more Authors
all top 5

Cited in 621 Serials

653 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
563 Chaos, Solitons and Fractals
341 Chaos
300 Physica D
226 Journal of Mathematical Analysis and Applications
187 Journal of Differential Equations
187 Nonlinear Dynamics
150 Applied Mathematics and Computation
143 Communications in Nonlinear Science and Numerical Simulation
116 Mathematical Biosciences
97 Nonlinear Analysis. Theory, Methods & Applications
95 Ergodic Theory and Dynamical Systems
92 Journal of Difference Equations and Applications
90 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
83 Transactions of the American Mathematical Society
77 Proceedings of the American Mathematical Society
68 Journal of Mathematical Biology
67 Journal of Statistical Physics
67 Discrete Dynamics in Nature and Society
61 Discrete and Continuous Dynamical Systems
60 Communications in Mathematical Physics
57 Physica A
54 Topology and its Applications
52 Nonlinear Analysis. Real World Applications
47 Advances in Difference Equations
45 Nonlinearity
45 Journal of Computational and Applied Mathematics
45 Journal of Dynamics and Differential Equations
45 Mathematical Problems in Engineering
44 Journal of the Franklin Institute
41 Computers & Mathematics with Applications
38 Israel Journal of Mathematics
37 Discrete and Continuous Dynamical Systems. Series B
36 Mathematics and Computers in Simulation
35 Physics Letters. A
34 Bulletin of the Australian Mathematical Society
34 Dynamical Systems
32 Bulletin of Mathematical Biology
31 Applied Mathematical Modelling
31 Journal of Nonlinear Science
30 Theoretical Population Biology
28 SIAM Journal on Applied Dynamical Systems
27 Advances in Mathematics
27 Journal of Theoretical Biology
26 International Journal of Modern Physics B
26 Complexity
25 Journal of Economic Dynamics & Control
25 Fractals
25 Regular and Chaotic Dynamics
24 Qualitative Theory of Dynamical Systems
22 Applicable Analysis
22 Annali di Matematica Pura ed Applicata. Serie Quarta
22 Mathematical and Computer Modelling
21 Tôhoku Mathematical Journal. Second Series
21 Systems & Control Letters
21 Applied Mathematics Letters
20 Functional Analysis and its Applications
20 Abstract and Applied Analysis
20 Acta Mathematica Sinica. English Series
19 Acta Mathematicae Applicatae Sinica. English Series
19 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
19 Journal of Mathematical Chemistry
19 Journal of Biological Dynamics
19 International Journal of Biomathematics
18 Automatica
18 Applied Mathematics and Mechanics. (English Edition)
18 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
17 Mathematical Methods in the Applied Sciences
17 Journal of Economic Theory
17 Journal of Optimization Theory and Applications
17 Acta Applicandae Mathematicae
17 Bulletin of the American Mathematical Society. New Series
17 Journal of Mathematical Sciences (New York)
17 Mathematical Biosciences and Engineering
16 Archive for Rational Mechanics and Analysis
16 Journal of Fluid Mechanics
16 Journal of Vibration and Control
16 Nonlinear Analysis. Hybrid Systems
15 Journal of Functional Analysis
15 Mathematische Zeitschrift
15 Monatshefte für Mathematik
15 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
14 International Journal of Systems Science
14 Journal of Mathematical Physics
14 International Journal of Computer Mathematics
14 Economic Theory
14 Discrete and Continuous Dynamical Systems. Series S
13 Journal of Computational Physics
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 Japan Journal of Industrial and Applied Mathematics
12 Physics of Fluids
12 Journal of Dynamical Systems and Geometric Theories
11 Mathematical Programming
...and 521 more Serials
all top 5

Cited in 62 Fields

3,883 Dynamical systems and ergodic theory (37-XX)
2,115 Ordinary differential equations (34-XX)
1,078 Systems theory; control (93-XX)
1,043 Biology and other natural sciences (92-XX)
477 Numerical analysis (65-XX)
373 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
355 Measure and integration (28-XX)
351 Mechanics of particles and systems (70-XX)
339 General topology (54-XX)
308 Difference and functional equations (39-XX)
292 Probability theory and stochastic processes (60-XX)
257 Partial differential equations (35-XX)
245 Operator theory (47-XX)
210 Information and communication theory, circuits (94-XX)
170 Fluid mechanics (76-XX)
163 Real functions (26-XX)
155 Computer science (68-XX)
149 Statistics (62-XX)
146 Operations research, mathematical programming (90-XX)
132 Global analysis, analysis on manifolds (58-XX)
124 Statistical mechanics, structure of matter (82-XX)
80 Calculus of variations and optimal control; optimization (49-XX)
76 Mechanics of deformable solids (74-XX)
65 Number theory (11-XX)
55 Combinatorics (05-XX)
55 Functional analysis (46-XX)
51 Optics, electromagnetic theory (78-XX)
50 Integral equations (45-XX)
50 Algebraic topology (55-XX)
50 Quantum theory (81-XX)
40 Manifolds and cell complexes (57-XX)
33 Geophysics (86-XX)
30 Linear and multilinear algebra; matrix theory (15-XX)
29 Mathematical logic and foundations (03-XX)
29 Functions of a complex variable (30-XX)
26 Differential geometry (53-XX)
25 Harmonic analysis on Euclidean spaces (42-XX)
23 Algebraic geometry (14-XX)
22 General and overarching topics; collections (00-XX)
19 History and biography (01-XX)
19 Approximations and expansions (41-XX)
18 Field theory and polynomials (12-XX)
16 Topological groups, Lie groups (22-XX)
16 Classical thermodynamics, heat transfer (80-XX)
13 Group theory and generalizations (20-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)
10 Relativity and gravitational theory (83-XX)
9 Commutative algebra (13-XX)
9 Special functions (33-XX)
9 Abstract harmonic analysis (43-XX)
5 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 Geometry (51-XX)
1 \(K\)-theory (19-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.