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Sparrow, Colin T.

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Author ID: sparrow.colin-t Recent zbMATH articles by "Sparrow, Colin T."
Published as: Sparrow, Colin; Sparrow, Colin T.; Sparrow, C. T.; Sparrow, C.
Documents Indexed: 20 Publications since 1981, including 2 Books

Publications by Year

Citations contained in zbMATH Open

18 Publications have been cited 722 times in 639 Documents Cited by Year
The Lorenz equations: bifurcations, chaos, and strange attractors. Zbl 0504.58001
Sparrow, Colin
414
1982
Local and global behavior near homoclinic orbits. Zbl 0588.58041
Glendinning, Paul; Sparrow, Colin
136
1984
T-points: A codimension two heteroclinic bifurcation. Zbl 0635.58031
Glendinning, Paul; Sparrow, Colin
51
1986
The classification of topologically expansive Lorenz maps. Zbl 0714.58041
Hubbard, John H.; Sparrow, Colin T.
29
1990
Prime and renormalisable kneading invariants and the dynamics of expanding Lorenz maps. Zbl 0783.58046
Glendinning, Paul; Sparrow, Colin
21
1993
Bifocal homoclinic orbits in four dimensions. Zbl 0741.34017
Fowler, A. C.; Sparrow, C. T.
14
1991
Chaos in a three-dimensional single loop feedback system with a piecewise linear feedback function. Zbl 0518.34037
Sparrow, C. T.
12
1981
Extension of order-preserving maps on a cone. Zbl 1048.47040
Burbanks, Andrew D.; Nussbaum, Roger D.; Sparrow, Colin T.
10
2003
The Falkner-Skan equation. II: Dynamics and the bifurcations of \(P\)- and \(Q\)-orbits. Zbl 1017.34042
Sparrow, C.; Swinnerton-Dyer, H. P. F.
9
2002
The Falkner-Skan equation. I: The creation of strange invariant sets. Zbl 0828.34028
Swinnerton-Dyer, H. P. F.; Sparrow, C. T.
8
1995
Fictitious play in 3\(\times \)3 games: The transition between periodic and chaotic behaviour. Zbl 1134.91308
Sparrow, Colin; van Strien, Sebastian; Harris, Christopher
7
2008
Fictitious play in \(3 \times 3\) games: chaos and dithering behaviour. Zbl 1236.91010
van Strien, Sebastian; Sparrow, Colin
5
2011
Transitive actions of finite Abelian groups of sup-norm isometries. Zbl 1163.37009
Lemmens, Bas; Scheutzow, Michael; Sparrow, Colin
1
2007
A note on periodic points of order preserving subhomogeneous maps. Zbl 1088.54017
Lemmens, Bas; Sparrow, Colin
1
2006
Homoclinic chaos. Proceedings of a NATO Advanced Research Workshop held at the Centre for Nonlinear Phenomena and Complex Systems, University of Brussels, Belgium, 6-9 May 1991. Zbl 0783.00026
Gaspard, Pierre (ed.); Arnéodo, Alain (ed.); Kapral, Raymond (ed.); Sparrow, Colin (ed.)
1
1993
Bifurcations in the Falkner-Skan equation. Zbl 0876.34046
Sparrow, Colin
1
1997
Dynamics associated to games (fictitious play) with chaotic behavior. Zbl 1253.37093
Sparrow, Colin; van Strien, Sebastian
1
2011
Continuous extension of order-preserving homogeneous maps. Zbl 1249.93123
Burbanks, Andrew D.; Sparrow, Colin T.; Nussbaum, Roger D.
1
2003
Fictitious play in \(3 \times 3\) games: chaos and dithering behaviour. Zbl 1236.91010
van Strien, Sebastian; Sparrow, Colin
5
2011
Dynamics associated to games (fictitious play) with chaotic behavior. Zbl 1253.37093
Sparrow, Colin; van Strien, Sebastian
1
2011
Fictitious play in 3\(\times \)3 games: The transition between periodic and chaotic behaviour. Zbl 1134.91308
Sparrow, Colin; van Strien, Sebastian; Harris, Christopher
7
2008
Transitive actions of finite Abelian groups of sup-norm isometries. Zbl 1163.37009
Lemmens, Bas; Scheutzow, Michael; Sparrow, Colin
1
2007
A note on periodic points of order preserving subhomogeneous maps. Zbl 1088.54017
Lemmens, Bas; Sparrow, Colin
1
2006
Extension of order-preserving maps on a cone. Zbl 1048.47040
Burbanks, Andrew D.; Nussbaum, Roger D.; Sparrow, Colin T.
10
2003
Continuous extension of order-preserving homogeneous maps. Zbl 1249.93123
Burbanks, Andrew D.; Sparrow, Colin T.; Nussbaum, Roger D.
1
2003
The Falkner-Skan equation. II: Dynamics and the bifurcations of \(P\)- and \(Q\)-orbits. Zbl 1017.34042
Sparrow, C.; Swinnerton-Dyer, H. P. F.
9
2002
Bifurcations in the Falkner-Skan equation. Zbl 0876.34046
Sparrow, Colin
1
1997
The Falkner-Skan equation. I: The creation of strange invariant sets. Zbl 0828.34028
Swinnerton-Dyer, H. P. F.; Sparrow, C. T.
8
1995
Prime and renormalisable kneading invariants and the dynamics of expanding Lorenz maps. Zbl 0783.58046
Glendinning, Paul; Sparrow, Colin
21
1993
Homoclinic chaos. Proceedings of a NATO Advanced Research Workshop held at the Centre for Nonlinear Phenomena and Complex Systems, University of Brussels, Belgium, 6-9 May 1991. Zbl 0783.00026
Gaspard, Pierre; Arnéodo, Alain; Kapral, Raymond; Sparrow, Colin
1
1993
Bifocal homoclinic orbits in four dimensions. Zbl 0741.34017
Fowler, A. C.; Sparrow, C. T.
14
1991
The classification of topologically expansive Lorenz maps. Zbl 0714.58041
Hubbard, John H.; Sparrow, Colin T.
29
1990
T-points: A codimension two heteroclinic bifurcation. Zbl 0635.58031
Glendinning, Paul; Sparrow, Colin
51
1986
Local and global behavior near homoclinic orbits. Zbl 0588.58041
Glendinning, Paul; Sparrow, Colin
136
1984
The Lorenz equations: bifurcations, chaos, and strange attractors. Zbl 0504.58001
Sparrow, Colin
414
1982
Chaos in a three-dimensional single loop feedback system with a piecewise linear feedback function. Zbl 0518.34037
Sparrow, C. T.
12
1981
all top 5

Cited by 977 Authors

19 Rodríguez-Luis, Alejandro J.
15 Algaba, Antonio
14 Merino, Manuel
12 Chen, Guanrong
11 Fernández-Sánchez, Fernando
10 Glendinning, Paul Alexander
10 Knobloch, Edgar
9 Leonov, Gennadiĭ Alekseevich
9 Llibre, Jaume
9 Rodrigues, Alexandre A. P.
9 Yang, Qigui
7 Li, Xianyi
7 Wang, Haijun
6 Hashim, Ishak
6 Kalliadasis, Serafim
6 Krauskopf, Bernd
6 Mees, Alistair I.
6 Osinga, Hinke Maria
6 Shilnikov, Andrey L.
6 Sparrow, Colin T.
5 Chen, Zengqiang
5 Ilchmann, Achim
5 Kurths, Jürgen
5 Liu, Yongjian
4 Barrio, Roberto
4 Belykh, Vladimir N.
4 Boyarsky, Abraham
4 Champneys, Alan R.
4 Chen, Yuming
4 Freire Macías, Emilio
4 Gaubert, Stéphane
4 Holmes, Philip J.
4 Ibáñez, Santiago
4 Kevrekidis, Ioannis George
4 Labouriau, Isabel S.
4 Lemmens, Bas
4 Natiello, Mario A.
4 Nussbaum, Roger David
4 Rucklidge, Alastair M.
4 Ryan, Eugene P.
4 Tseluiko, Dmitri
4 Weiss, Nigel O.
4 Zhang, Xu
4 Zimmermann, Martín G.
3 Avrutin, Viktor
3 Barabash, Nikita V.
3 Barrientos, Pablo G.
3 Belykh, Igor V.
3 Carmona, Victoriano
3 Coomes, Brian A.
3 De Feo, Oscar
3 El-Dessoky, Mohamed M.
3 Fiedler, Bernold
3 Fowler, Andrew C.
3 García-Medina, Elisabeth
3 Hirschberg, P.
3 Homburg, Ale Jan
3 Jawdat, Jadallah M.
3 Jolly, Michael S.
3 Judd, Kevin
3 Kirk, Vivien
3 Knobloch, Jürgen
3 Kokubu, Hiroshi
3 Komuro, Motomasa
3 Krishchenko, Alexander P.
3 Labarca, Rafael
3 Laing, Carlo R.
3 Lamb, Jeroen S. W.
3 Laroze, David
3 Layek, G. C.
3 Li, Changpin
3 Lin, Te-Sheng
3 Lins, Brian
3 Liu, Chongxin
3 Liu, Ling
3 Liu, Tao
3 Liu, Xingbo
3 Messias, Marcelo
3 Momani, Shaher M.
3 Noack, Bernd R.
3 Osipov, Grigory V.
3 Ostrovski, Georg
3 Pati, N. C.
3 Phillipson, Paul E.
3 Pinsky, Tali
3 Porter, Jeff
3 Qi, Guoyuan
3 Rodríguez, José Angel
3 Samuel, Tony
3 Sanjurjo, José M. R.
3 Schaffer, William Morris
3 Simpson, David John Warwick
3 Teruel, Antonio E.
3 Tresser, Charles
3 van Strien, Sebastian J.
3 Webster, Kevin N.
3 Yan, Jianping
3 Yang, Xiaosong
3 Yassen, M. T.
3 Yorke, James Alan
...and 877 more Authors
all top 5

Cited in 166 Serials

83 Physica D
70 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
42 Chaos, Solitons and Fractals
37 Nonlinear Dynamics
26 Chaos
18 Physics Letters. A
15 Journal of Differential Equations
15 Communications in Nonlinear Science and Numerical Simulation
13 Journal of Fluid Mechanics
11 Journal of Statistical Physics
10 Ergodic Theory and Dynamical Systems
7 Computers & Mathematics with Applications
7 Nonlinearity
7 Dynamics and Stability of Systems
7 Journal of Dynamics and Differential Equations
7 Discrete and Continuous Dynamical Systems
6 Applied Mathematics and Computation
6 Journal of Number Theory
6 Journal of Nonlinear Science
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Acta Applicandae Mathematicae
5 Nonlinear Analysis. Real World Applications
5 Dynamical Systems
4 Journal of the Franklin Institute
4 Journal of Mathematical Analysis and Applications
4 Journal of Mathematical Physics
4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
4 Bulletin of Mathematical Biology
4 Transactions of the American Mathematical Society
4 Mathematical and Computer Modelling
4 Regular and Chaotic Dynamics
4 SIAM Journal on Applied Dynamical Systems
3 Communications in Mathematical Physics
3 Computer Physics Communications
3 Israel Journal of Mathematics
3 Mathematical Methods in the Applied Sciences
3 Physica A
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Japan Journal of Applied Mathematics
3 European Journal of Applied Mathematics
3 Dynamics and Control
3 Journal of Difference Equations and Applications
3 Mathematical Problems in Engineering
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Abstract and Applied Analysis
3 Advances in Difference Equations
2 Archive for Rational Mechanics and Analysis
2 Geophysical and Astrophysical Fluid Dynamics
2 International Journal of Engineering Science
2 International Journal of Heat and Mass Transfer
2 Journal of Mathematical Biology
2 Physics Reports
2 Advances in Mathematics
2 International Journal for Numerical Methods in Engineering
2 Journal of Computational and Applied Mathematics
2 Kybernetika
2 Proceedings of the American Mathematical Society
2 Results in Mathematics
2 Studies in Applied Mathematics
2 Topology and its Applications
2 Systems & Control Letters
2 Applied Mathematics and Mechanics. (English Edition)
2 Applied Mathematics Letters
2 SIAM Journal on Applied Mathematics
2 Indagationes Mathematicae. New Series
2 Physics of Fluids
2 Complexity
2 Physical Review Letters
2 Physical Review E. Third Series
2 Journal of Applied Analysis and Computation
2 Journal of Mathematics
1 Acta Mechanica
1 Biological Cybernetics
1 Computers and Fluids
1 Computer Methods in Applied Mechanics and Engineering
1 Communications on Pure and Applied Mathematics
1 International Journal of Control
1 International Journal of Mathematical Education in Science and Technology
1 International Journal of Systems Science
1 International Journal of Theoretical Physics
1 Journal d’Analyse Mathématique
1 Journal of Applied Mathematics and Mechanics
1 Journal of Computational Physics
1 Physics of Fluids
1 Reports on Mathematical Physics
1 The Mathematical Intelligencer
1 Anais da Academia Brasileira de Ciências
1 Annales de l’Institut Fourier
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Computing
1 Demonstratio Mathematica
1 Information Sciences
1 Publications Mathématiques
1 International Journal of Game Theory
1 Journal of Functional Analysis
1 Journal of Mathematical Economics
1 Journal of Soviet Mathematics
1 Journal of Statistical Planning and Inference
1 The Journal of Symbolic Logic
1 Mathematische Nachrichten
...and 66 more Serials
all top 5

Cited in 42 Fields

419 Dynamical systems and ergodic theory (37-XX)
272 Ordinary differential equations (34-XX)
68 Fluid mechanics (76-XX)
66 Systems theory; control (93-XX)
40 Partial differential equations (35-XX)
38 Numerical analysis (65-XX)
32 Biology and other natural sciences (92-XX)
28 Mechanics of particles and systems (70-XX)
14 Statistical mechanics, structure of matter (82-XX)
13 Optics, electromagnetic theory (78-XX)
13 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
10 Measure and integration (28-XX)
10 Operator theory (47-XX)
10 Classical thermodynamics, heat transfer (80-XX)
10 Geophysics (86-XX)
10 Information and communication theory, circuits (94-XX)
9 Number theory (11-XX)
9 General topology (54-XX)
8 Combinatorics (05-XX)
8 Probability theory and stochastic processes (60-XX)
7 Mechanics of deformable solids (74-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Real functions (26-XX)
6 Computer science (68-XX)
5 Difference and functional equations (39-XX)
5 Global analysis, analysis on manifolds (58-XX)
5 Quantum theory (81-XX)
5 Operations research, mathematical programming (90-XX)
4 Statistics (62-XX)
3 General and overarching topics; collections (00-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Differential geometry (53-XX)
3 Manifolds and cell complexes (57-XX)
2 History and biography (01-XX)
2 Mathematical logic and foundations (03-XX)
2 Convex and discrete geometry (52-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 Functions of a complex variable (30-XX)

Citations by Year