## Kaplan, James L.

Compute Distance To:
 Author ID: kaplan.james-l Published as: Kaplan, James L.
 Documents Indexed: 28 Publications since 1970 Co-Authors: 10 Co-Authors with 22 Joint Publications 283 Co-Co-Authors
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### Co-Authors

 5 single-authored 14 Yorke, James Alan 4 Freedman, Marvin I. 2 Cooke, Kenneth L. 2 Sorg, Michael 1 Delamotte, Bertrand 1 Devinatz, Allen 1 Frederickson, Paul O. 1 Jerome, Joseph W. 1 Lasota, Andrzej 1 Mallet-Paret, John Joseph 1 Yorke, Ellen D.
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### Serials

 4 Journal of Differential Equations 3 Nonlinear Analysis. Theory, Methods & Applications 2 Journal of Mathematical Analysis and Applications 2 SIAM Journal on Mathematical Analysis 1 Classical and Quantum Gravity 1 Communications in Mathematical Physics 1 Mathematical Biosciences 1 Funkcialaj Ekvacioj. Serio Internacia 1 Indiana University Mathematics Journal 1 Journal of Computational and Applied Mathematics 1 SIAM Journal on Control and Optimization 1 Ergodic Theory and Dynamical Systems 1 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Prace Matematyczne
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### Fields

 17 Ordinary differential equations (34-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Fluid mechanics (76-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Nonassociative rings and algebras (17-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX)

### Citations contained in zbMATH Open

22 Publications have been cited 639 times in 567 Documents Cited by Year
Ordinary differential equations which yield periodic solutions of differential delay equations. Zbl 0293.34102
Kaplan, James L.; Yorke, James A.
1974
The Lyapunov dimension of strange attractors. Zbl 0515.34040
Frederickson, Paul; Kaplan, James L.; Yorke, Ellen D.; Yorke, James A.
1983
Preturbulence: A regime observed in a fluid flow model of Lorenz. Zbl 0443.76059
Kaplan, James L.; Yorke, James A.
1979
A periodicity threshold theorem for epidemics and population growth. Zbl 0341.92012
Cooke, Kenneth L.; Kaplan, James L.
1976
On the stability of a periodic solution of a differential delay equation. Zbl 0241.34080
Kaplan, James L.; Yorke, James A.
1975
The Lyapunov dimension of a nowhere differentiable attracting torus. Zbl 0558.58018
Kaplan, James L.; Mallet-Paret, John; Yorke, James A.
1984
On the nonlinear differential delay equation x’(t) = -f(x(t),x(t-1)). Zbl 0307.34070
Kaplan, James L.; Yorke, James A.
1977
Chaotic behavior of multidimensional difference equations. Zbl 0448.58020
Kaplan, James L.; Yorke, James A.
1979
Solutions of x’(t)=f(x(t),x(t-L)) have limits when f is an order relation. Zbl 0465.34041
Kaplan, James L.; Sorg, M.; Yorke, James A.
1979
Nonassociative, real algebras and quadratic differential equations. Zbl 0421.34009
Kaplan, James L.; Yorke, James A.
1979
An application of the Wazewski retract method to boundary value problems. Zbl 0301.34018
Kaplan, James L.; Lasota, Andrzej; Yorke, James A.
1974
Singular perturbations of two-point boundary value problems arising in optimal control. Zbl 0324.49012
Freedman, Marvin I.; Kaplan, James L.
1976
The onset of chaos in a fluid flow model of Lorenz. Zbl 0445.58017
Kaplan, James L.; Yorke, James A.
1979
Perturbation analysis of an optimal control problem involving bang-bang controls. Zbl 0358.49011
Freedman, Marvin I.; Kaplan, James L.
1977
On the asymptotic behavior of Volterra integral equations. Zbl 0237.45018
Kaplan, James L.
1972
Stability of a functional differential equation for the motion of a radiating charged particle. Zbl 0473.34044
Cooke, Kenneth L.; Kaplan, James L.; Sorg, M.
1981
Absolutely stable differential equations which are not integrally stable. Zbl 0235.34114
Kaplan, James L.
1972
Asymptotic estimates for solutions of linear systems of ordinary differential equations having multiple characteristic roots. Zbl 0267.34044
Devinatz, Allen; Kaplan, James L.
1972
Quickly oscillating solutions of autonomous differential delay equations. Zbl 0297.34069
Kaplan, James L.
1973
Existence and stability of periodic solutions of x’(t)=-f(x(t), x(t-1)). Zbl 0386.34062
Kaplan, James L.; Yorke, James A.
1976
The geometry of $$N=2$$ supergravity in harmonic superspace. Zbl 0623.58039
Delamotte, B.; Kaplan, J.
1987
A perturbation method for the solution of an optimal control problem involving bang-bang control. Zbl 0355.49004
Freedman, Marvin I.; Kaplan, James L.
1976
The geometry of $$N=2$$ supergravity in harmonic superspace. Zbl 0623.58039
Delamotte, B.; Kaplan, J.
1987
The Lyapunov dimension of a nowhere differentiable attracting torus. Zbl 0558.58018
Kaplan, James L.; Mallet-Paret, John; Yorke, James A.
1984
The Lyapunov dimension of strange attractors. Zbl 0515.34040
Frederickson, Paul; Kaplan, James L.; Yorke, Ellen D.; Yorke, James A.
1983
Stability of a functional differential equation for the motion of a radiating charged particle. Zbl 0473.34044
Cooke, Kenneth L.; Kaplan, James L.; Sorg, M.
1981
Preturbulence: A regime observed in a fluid flow model of Lorenz. Zbl 0443.76059
Kaplan, James L.; Yorke, James A.
1979
Chaotic behavior of multidimensional difference equations. Zbl 0448.58020
Kaplan, James L.; Yorke, James A.
1979
Solutions of x’(t)=f(x(t),x(t-L)) have limits when f is an order relation. Zbl 0465.34041
Kaplan, James L.; Sorg, M.; Yorke, James A.
1979
Nonassociative, real algebras and quadratic differential equations. Zbl 0421.34009
Kaplan, James L.; Yorke, James A.
1979
The onset of chaos in a fluid flow model of Lorenz. Zbl 0445.58017
Kaplan, James L.; Yorke, James A.
1979
On the nonlinear differential delay equation x’(t) = -f(x(t),x(t-1)). Zbl 0307.34070
Kaplan, James L.; Yorke, James A.
1977
Perturbation analysis of an optimal control problem involving bang-bang controls. Zbl 0358.49011
Freedman, Marvin I.; Kaplan, James L.
1977
A periodicity threshold theorem for epidemics and population growth. Zbl 0341.92012
Cooke, Kenneth L.; Kaplan, James L.
1976
Singular perturbations of two-point boundary value problems arising in optimal control. Zbl 0324.49012
Freedman, Marvin I.; Kaplan, James L.
1976
Existence and stability of periodic solutions of x’(t)=-f(x(t), x(t-1)). Zbl 0386.34062
Kaplan, James L.; Yorke, James A.
1976
A perturbation method for the solution of an optimal control problem involving bang-bang control. Zbl 0355.49004
Freedman, Marvin I.; Kaplan, James L.
1976
On the stability of a periodic solution of a differential delay equation. Zbl 0241.34080
Kaplan, James L.; Yorke, James A.
1975
Ordinary differential equations which yield periodic solutions of differential delay equations. Zbl 0293.34102
Kaplan, James L.; Yorke, James A.
1974
An application of the Wazewski retract method to boundary value problems. Zbl 0301.34018
Kaplan, James L.; Lasota, Andrzej; Yorke, James A.
1974
Quickly oscillating solutions of autonomous differential delay equations. Zbl 0297.34069
Kaplan, James L.
1973
On the asymptotic behavior of Volterra integral equations. Zbl 0237.45018
Kaplan, James L.
1972
Absolutely stable differential equations which are not integrally stable. Zbl 0235.34114
Kaplan, James L.
1972
Asymptotic estimates for solutions of linear systems of ordinary differential equations having multiple characteristic roots. Zbl 0267.34044
Devinatz, Allen; Kaplan, James L.
1972
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### Cited by 748 Authors

 14 Nussbaum, Roger David 13 Yorke, James Alan 10 Ge, Weigao 9 Walther, Hans-Otto 8 Guo, Zhiming 8 Yu, Jian-She 7 Cheng, Rong 7 Ding, Huisheng 7 Dormayer, Peter 7 Kaplan, James L. 6 Haddock, John R. 6 Leonov, Gennadiĭ Alekseevich 6 Ma, Junhai 6 Mallet-Paret, John Joseph 6 Peng, Mingshu 6 Shi, Haiping 6 Xiao, Huafeng 6 Yi, Taishan 5 Bacaër, Nicolas 5 Barrio, Roberto 5 Han, Maoan 5 Huang, Lihong 5 Zhang, Fuchen 4 Agiza, Hamdy N. 4 Chen, Guanrong 4 Elsadany, Abdelalim A. 4 Ezzinbi, Khalil 4 Fu, Xiangling 4 Glyzin, Sergeĭ Dmitrievich 4 He, Xuezhong 4 Jing, Zhujun 4 Krauskopf, Bernd 4 Kuznetsov, Nikolay Vladimirovich 4 Lani-Wayda, Bernhard 4 Lessard, Jean-Philippe 4 Li, Jibin 4 Liang, Jin 4 Mahmoud, Emad E. 4 Mencinger, Matej 4 Osinga, Hinke Maria 4 Ott, Edward 4 Pham, Viet-Thanh 4 Rana, Sarker Md. Sohel 4 Torrejón, Ricardo M. 4 Wong, Patricia J. Y. 4 Wu, Jianhong 4 Xiao, Ti-Jun 4 Young, Lai-Sang 4 Zhang, Yuanbiao 3 Agarwal, Ravi P. 3 Ait Dads, El Hadi 3 Bi, Ping 3 Carroll, Thomas L. 3 Chen, Xianwei 3 Chow, Shui-Nee 3 Cromer, Thomas L. 3 Engelborghs, Koen 3 Fiedler, Bernold 3 Freedman, Marvin I. 3 Grassberger, Peter 3 Grines, Vyacheslav Zigmundovich 3 Gyori, Istvan 3 Kolesov, Andreĭ Yur’evich 3 Ledrappier, François 3 Liao, Xiaofeng 3 Liu, Bingwen 3 Liu, Chungen 3 Liu, Xia 3 Llibre, Jaume 3 Lucarini, Valerio 3 Navascués, María Antonia 3 N’Guérékata, Gaston Mandata 3 O’Regan, Donal 3 Qi, Dongwen 3 Rossler, Otto E. 3 Serrano, Sergio E. 3 Smith, Hal Leslie 3 Sun, Huafei 3 Tarţa, Alexandrina-Alina 3 Vaidyanathan, Sundarapandian 3 Volos, Christos K. 3 Wu, Ke 3 Wu, Xian 3 Xu, Bin 3 Zertiti, Abderrahim 3 Zhang, Guangyun 3 Zhou, Ping 2 Albers, Peter 2 an der Heiden, Uwe 2 Arino, Ovide 2 Badii, Remo 2 Barański, Krzysztof 2 Bárány, Balázs 2 Betancourt-Mar, Juvencio Alberto 2 Bódai, Tamás 2 Boey, K. L. 2 Cañada Villar, Antonio 2 Chang, Shun-Chang 2 Chen, Rui 2 Chen, Xiusu ...and 648 more Authors
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### Cited in 154 Serials

 36 Journal of Differential Equations 33 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 27 Journal of Mathematical Analysis and Applications 22 Nonlinear Analysis. Theory, Methods & Applications 21 Chaos 20 Physica D 19 Chaos, Solitons and Fractals 16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Applied Mathematics and Computation 13 Journal of Dynamics and Differential Equations 12 Advances in Difference Equations 11 Journal of Statistical Physics 10 Nonlinear Dynamics 8 Transactions of the American Mathematical Society 8 Nonlinear Analysis. Real World Applications 7 Journal of Computational and Applied Mathematics 7 Discrete and Continuous Dynamical Systems 7 Discrete Dynamics in Nature and Society 6 Applicable Analysis 6 Computers & Mathematics with Applications 6 Communications in Mathematical Physics 6 Journal of Fluid Mechanics 6 Acta Mathematicae Applicatae Sinica. English Series 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Abstract and Applied Analysis 5 Mathematical Biosciences 5 Physica A 5 Applied Mathematics Letters 5 Fractals 5 Complexity 4 Mathematical Methods in the Applied Sciences 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Studies in Applied Mathematics 4 Tôhoku Mathematical Journal. Second Series 4 Mathematical and Computer Modelling 4 Acta Mathematica Sinica. New Series 4 Journal of Applied Analysis and Computation 3 Journal of Mathematical Biology 3 Bulletin of Mathematical Biology 3 Journal of Soviet Mathematics 3 Theoretical Population Biology 3 Acta Applicandae Mathematicae 3 Japan Journal of Applied Mathematics 3 Journal of Mathematical Sciences (New York) 3 Mathematical Problems in Engineering 3 Doklady Mathematics 3 Acta Mathematica Sinica. English Series 3 Communications in Nonlinear Science and Numerical Simulation 3 SIAM Journal on Applied Dynamical Systems 3 Proceedings of the Steklov Institute of Mathematics 2 Archive for Rational Mechanics and Analysis 2 Communications in Algebra 2 International Journal of Control 2 Indian Journal of Pure & Applied Mathematics 2 Journal of Mathematical Physics 2 Mathematical Notes 2 Nonlinearity 2 Physics Letters. A 2 Rocky Mountain Journal of Mathematics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Manuscripta Mathematica 2 Mathematics and Computers in Simulation 2 Mathematische Zeitschrift 2 Monatshefte für Mathematik 2 Proceedings of the American Mathematical Society 2 Science in China. Series A 2 SIAM Journal on Mathematical Analysis 2 Indagationes Mathematicae. New Series 2 Journal of Nonlinear Science 2 Regular and Chaotic Dynamics 2 Dynamical Systems 2 Discrete and Continuous Dynamical Systems. Series B 2 Communications on Pure and Applied Analysis 2 Boundary Value Problems 2 Bulletin of the American Mathematical Society 2 Discrete and Continuous Dynamical Systems. Series S 2 International Journal of Biomathematics 2 Journal of Applied Nonlinear Dynamics 2 Journal of Function Spaces 1 Acta Mechanica 1 Bulletin of the Australian Mathematical Society 1 Fluid Dynamics 1 International Journal of Systems Science 1 Journal d’Analyse Mathématique 1 Journal of Applied Mathematics and Mechanics 1 Journal of the Franklin Institute 1 Physics Reports 1 Reviews of Modern Physics 1 Theoretical and Mathematical Physics 1 Physics of Fluids, A 1 Advances in Mathematics 1 Annales Polonici Mathematici 1 Automatica 1 Commentarii Mathematici Helvetici 1 Fuzzy Sets and Systems 1 International Journal of Mathematics and Mathematical Sciences 1 Inventiones Mathematicae 1 Journal of Functional Analysis 1 Journal of Mathematical Economics 1 Journal of Optimization Theory and Applications ...and 54 more Serials
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### Cited in 43 Fields

 276 Ordinary differential equations (34-XX) 228 Dynamical systems and ergodic theory (37-XX) 73 Biology and other natural sciences (92-XX) 54 Integral equations (45-XX) 38 Numerical analysis (65-XX) 37 Measure and integration (28-XX) 36 Global analysis, analysis on manifolds (58-XX) 35 Difference and functional equations (39-XX) 30 Operator theory (47-XX) 25 Systems theory; control (93-XX) 24 Fluid mechanics (76-XX) 20 Real functions (26-XX) 20 Mechanics of particles and systems (70-XX) 17 Partial differential equations (35-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 General topology (54-XX) 9 Probability theory and stochastic processes (60-XX) 8 Computer science (68-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Information and communication theory, circuits (94-XX) 6 Nonassociative rings and algebras (17-XX) 6 Mechanics of deformable solids (74-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Algebraic topology (55-XX) 4 Statistics (62-XX) 4 Optics, electromagnetic theory (78-XX) 4 Geophysics (86-XX) 3 Differential geometry (53-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Approximations and expansions (41-XX) 2 Manifolds and cell complexes (57-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Category theory; homological algebra (18-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX)