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## Kaplan, James L.

Compute Distance To:
 Author ID: kaplan.james-l Published as: Kaplan, J.; Kaplan, James L.
 Documents Indexed: 28 Publications since 1970
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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 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 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 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 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX)

#### Citations contained in zbMATH Open

22 Publications have been cited 630 times in 562 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
Chaotic behavior of multidimensional difference equations. Zbl 0448.58020
Kaplan, James L.; Yorke, James A.
1979
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
Nonassociative, real algebras and quadratic differential equations. Zbl 0421.34009
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
The onset of chaos in a fluid flow model of Lorenz. Zbl 0445.58017
Kaplan, James L.; Yorke, James A.
1979
Singular perturbations of two-point boundary value problems arising in optimal control. Zbl 0324.49012
Freedman, Marvin I.; Kaplan, James L.
1976
An application of the Wazewski retract method to boundary value problems. Zbl 0301.34018
Kaplan, James L.; Lasota, Andrzej; Yorke, James A.
1974
Perturbation analysis of an optimal control problem involving bang-bang controls. Zbl 0358.49011
Freedman, Marvin I.; Kaplan, James L.
1977
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
On the asymptotic behavior of Volterra integral equations. Zbl 0237.45018
Kaplan, James L.
1972
The geometry of $$N=2$$ supergravity in harmonic superspace. Zbl 0623.58039
Delamotte, B.; Kaplan, J.
1987
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
Quickly oscillating solutions of autonomous differential delay equations. Zbl 0297.34069
Kaplan, James L.
1973
Asymptotic estimates for solutions of linear systems of ordinary differential equations having multiple characteristic roots. Zbl 0267.34044
Devinatz, Allen; Kaplan, James L.
1972
Absolutely stable differential equations which are not integrally stable. Zbl 0235.34114
Kaplan, James L.
1972
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
Nonassociative, real algebras and quadratic differential equations. Zbl 0421.34009
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
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
Asymptotic estimates for solutions of linear systems of ordinary differential equations having multiple characteristic roots. Zbl 0267.34044
Devinatz, Allen; Kaplan, James L.
1972
Absolutely stable differential equations which are not integrally stable. Zbl 0235.34114
Kaplan, James L.
1972
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#### Cited by 786 Authors

 13 Nussbaum, Roger David 13 Yorke, James Alan 9 Walther, Hans-Otto 8 Ge, Weigao 8 Guo, Zhiming 8 Leonov, Gennadiĭ Alekseevich 8 Yu, Jian-She 7 Cheng, Rong 7 Ding, Huisheng 7 Dormayer, Peter 7 Kaplan, James L. 6 Haddock, John R. 6 Ma, Junhai 6 Ott, Edward 6 Shi, Haiping 6 Yi, Taishan 5 Agiza, Hamdy N. 5 Bacaër, Nicolas 5 Barrio, Roberto 5 Han, Maoan 5 Huang, Lihong 5 Mallet-Paret, John Joseph 5 Peng, Mingshu 5 Zhang, Fuchen 4 Chen, Guanrong 4 Elsadany, Abdelalim A. 4 Ezzinbi, Khalil 4 Fu, Xiangling 4 Glyzin, Sergeĭ D. 4 He, Xuezhong 4 Jing, Zhujun 4 Krauskopf, Bernd 4 Kuznetsov, Nikolay Vladimirovich 4 Lani-Wayda, Bernhard 4 Li, Jibin 4 Liang, Jin 4 Mahmoud, Emad E. 4 Mencinger, Matej 4 Osinga, Hinke Maria 4 Pham, Viet-Thanh 4 Rana, Sarker Md. Sohel 4 Torrejón, Ricardo M. 4 Wong, Patricia J. Y. 4 Wu, Jianhong 4 Xiao, Huafeng 4 Young, Lai-Sang 4 Zhang, Yuanbiao 3 Agarwal, Ravi P. 3 Ait Dads, El Hadi 3 Bi, Ping 3 Carroll, Thomas L. 3 Chang, Yingxiang 3 Chen, Xianwei 3 Chow, Shui-Nee 3 Chu, Yandong 3 Cromer, Thomas L. 3 Engelborghs, Koen 3 Farmer, James Doyne 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 Lessard, Jean-Philippe 3 Li, Xianfeng 3 Liao, Xiaofeng 3 Liu, Bingwen 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 Roepstorff, Gert 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 Zhang, Guangyun 3 Zhang, Jiangang 3 Zhou, Ping 2 an der Heiden, Uwe 2 Arino, Ovide 2 Badii, Remo 2 Barański, Krzysztof 2 Beck, Christian 2 Bódai, Tamás 2 Boey, K. L. 2 Broomhead, David S. 2 Cañada Villar, Antonio 2 Casdagli, Martin C. 2 Chen, Rui ...and 686 more Authors
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#### Cited in 147 Serials

 34 Journal of Differential Equations 29 Physica D 28 Journal of Mathematical Analysis and Applications 27 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 24 Chaos, Solitons and Fractals 22 Nonlinear Analysis. Theory, Methods & Applications 21 Chaos 16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Applied Mathematics and Computation 12 Journal of Dynamics and Differential Equations 11 Journal of Statistical Physics 11 Advances in Difference Equations 10 Nonlinear Dynamics 9 Nonlinear Analysis. Real World Applications 8 Physics Letters. A 7 Journal of Computational and Applied Mathematics 7 Transactions of the American Mathematical Society 7 Abstract and Applied Analysis 7 Discrete Dynamics in Nature and Society 6 Applicable Analysis 6 Computers & Mathematics with Applications 6 Communications in Mathematical Physics 6 Acta Mathematicae Applicatae Sinica. English Series 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Discrete and Continuous Dynamical Systems 5 Journal of Fluid Mechanics 5 Mathematical Biosciences 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 Tohoku Mathematical Journal. Second Series 4 Mathematical and Computer Modelling 4 Acta Mathematica Sinica. New Series 4 Communications in Nonlinear Science and Numerical Simulation 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 Proceedings of the Steklov Institute of Mathematics 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 Physica A 2 Physics Reports 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 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 SIAM Journal on Applied Dynamical Systems 2 Boundary Value Problems 2 Bulletin of the American Mathematical Society 2 Discrete and Continuous Dynamical Systems. Series S 2 International Journal of Biomathematics 1 Acta Mechanica 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the Australian Mathematical Society 1 Computers and Fluids 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 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 Fuzzy Sets and Systems 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Functional Analysis 1 Journal of Mathematical Economics 1 Journal of Optimization Theory and Applications 1 Mathematica Slovaca 1 Numerische Mathematik 1 Proceedings of the Japan Academy. Series A 1 Rendiconti del Seminario Matematico della Università di Padova ...and 47 more Serials
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#### Cited in 41 Fields

 272 Ordinary differential equations (34-XX) 238 Dynamical systems and ergodic theory (37-XX) 71 Biology and other natural sciences (92-XX) 51 Integral equations (45-XX) 36 Global analysis, analysis on manifolds (58-XX) 34 Measure and integration (28-XX) 34 Difference and functional equations (39-XX) 33 Numerical analysis (65-XX) 28 Systems theory; control (93-XX) 26 Operator theory (47-XX) 26 Fluid mechanics (76-XX) 22 Partial differential equations (35-XX) 22 Mechanics of particles and systems (70-XX) 17 Real functions (26-XX) 14 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) 7 Information and communication theory, circuits (94-XX) 6 Nonassociative rings and algebras (17-XX) 6 Statistics (62-XX) 6 Computer science (68-XX) 6 Mechanics of deformable solids (74-XX) 6 Geophysics (86-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Algebraic topology (55-XX) 4 Optics, electromagnetic theory (78-XX) 3 Differential geometry (53-XX) 3 Relativity and gravitational theory (83-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 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operations research, mathematical programming (90-XX)