## Sparrow, Colin T.

Compute Distance To:
 Author ID: sparrow.colin-t Published as: Sparrow, Colin; Sparrow, Colin T.; Sparrow, C. T.; Sparrow, C. more...less
 Documents Indexed: 19 Publications since 1981, including 1 Book 1 Contribution as Editor Co-Authors: 12 Co-Authors with 16 Joint Publications 489 Co-Co-Authors
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### Co-Authors

 4 single-authored 4 Glendinning, Paul Alexander 3 van Strien, Sebastian J. 2 Burbanks, Andrew D. 2 Lemmens, Bas 2 Nussbaum, Roger David 2 Swinnerton-Dyer, Peter 1 Arneodo, Alain 1 Fowler, Andrew C. 1 Gaspard, Pierre 1 Hubbard, John Hamal 1 Kapral, Raymond 1 Scheutzow, Michael K. R.
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### Serials

 2 Journal of Statistical Physics 2 Journal of Differential Equations 2 Games and Economic Behavior 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Kybernetika 1 Proceedings of the American Mathematical Society 1 European Journal of Combinatorics 1 Physica D 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Applied Mathematical Sciences
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### Fields

 13 Dynamical systems and ergodic theory (37-XX) 6 Ordinary differential equations (34-XX) 3 Operator theory (47-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General topology (54-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX)

### Citations contained in zbMATH Open

18 Publications have been cited 746 times in 660 Documents Cited by Year
The Lorenz equations: bifurcations, chaos, and strange attractors. Zbl 0504.58001
Sparrow, Colin
1982
Local and global behavior near homoclinic orbits. Zbl 0588.58041
Glendinning, Paul; Sparrow, Colin
1984
T-points: A codimension two heteroclinic bifurcation. Zbl 0635.58031
Glendinning, Paul; Sparrow, Colin
1986
The classification of topologically expansive Lorenz maps. Zbl 0714.58041
Hubbard, John H.; Sparrow, Colin T.
1990
Prime and renormalisable kneading invariants and the dynamics of expanding Lorenz maps. Zbl 0783.58046
Glendinning, Paul; Sparrow, Colin
1993
Extension of order-preserving maps on a cone. Zbl 1048.47040
Burbanks, Andrew D.; Nussbaum, Roger D.; Sparrow, Colin T.
2003
Bifocal homoclinic orbits in four dimensions. Zbl 0741.34017
Fowler, A. C.; Sparrow, C. T.
1991
Chaos in a three-dimensional single loop feedback system with a piecewise linear feedback function. Zbl 0518.34037
Sparrow, C. T.
1981
The Falkner-Skan equation. II: Dynamics and the bifurcations of $$P$$- and $$Q$$-orbits. Zbl 1017.34042
Sparrow, C.; Swinnerton-Dyer, H. P. F.
2002
The Falkner-Skan equation. I: The creation of strange invariant sets. Zbl 0828.34028
Swinnerton-Dyer, H. P. F.; Sparrow, C. T.
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
2008
Fictitious play in $$3 \times 3$$ games: chaos and dithering behaviour. Zbl 1236.91010
van Strien, Sebastian; Sparrow, Colin
2011
Dynamics associated to games (fictitious play) with chaotic behavior. Zbl 1253.37093
Sparrow, Colin; van Strien, Sebastian
2011
Bifurcations in the Falkner-Skan equation. Zbl 0876.34046
Sparrow, Colin
1997
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
1993
Transitive actions of finite Abelian groups of sup-norm isometries. Zbl 1163.37009
Lemmens, Bas; Scheutzow, Michael; Sparrow, Colin
2007
A note on periodic points of order preserving subhomogeneous maps. Zbl 1088.54017
Lemmens, Bas; Sparrow, Colin
2006
Continuous extension of order-preserving homogeneous maps. Zbl 1249.93123
Burbanks, Andrew D.; Sparrow, Colin T.; Nussbaum, Roger D.
2003
Fictitious play in $$3 \times 3$$ games: chaos and dithering behaviour. Zbl 1236.91010
van Strien, Sebastian; Sparrow, Colin
2011
Dynamics associated to games (fictitious play) with chaotic behavior. Zbl 1253.37093
Sparrow, Colin; van Strien, Sebastian
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
2008
Transitive actions of finite Abelian groups of sup-norm isometries. Zbl 1163.37009
Lemmens, Bas; Scheutzow, Michael; Sparrow, Colin
2007
A note on periodic points of order preserving subhomogeneous maps. Zbl 1088.54017
Lemmens, Bas; Sparrow, Colin
2006
Extension of order-preserving maps on a cone. Zbl 1048.47040
Burbanks, Andrew D.; Nussbaum, Roger D.; Sparrow, Colin T.
2003
Continuous extension of order-preserving homogeneous maps. Zbl 1249.93123
Burbanks, Andrew D.; Sparrow, Colin T.; Nussbaum, Roger D.
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.
2002
Bifurcations in the Falkner-Skan equation. Zbl 0876.34046
Sparrow, Colin
1997
The Falkner-Skan equation. I: The creation of strange invariant sets. Zbl 0828.34028
Swinnerton-Dyer, H. P. F.; Sparrow, C. T.
1995
Prime and renormalisable kneading invariants and the dynamics of expanding Lorenz maps. Zbl 0783.58046
Glendinning, Paul; Sparrow, Colin
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
1993
Bifocal homoclinic orbits in four dimensions. Zbl 0741.34017
Fowler, A. C.; Sparrow, C. T.
1991
The classification of topologically expansive Lorenz maps. Zbl 0714.58041
Hubbard, John H.; Sparrow, Colin T.
1990
T-points: A codimension two heteroclinic bifurcation. Zbl 0635.58031
Glendinning, Paul; Sparrow, Colin
1986
Local and global behavior near homoclinic orbits. Zbl 0588.58041
Glendinning, Paul; Sparrow, Colin
1984
The Lorenz equations: bifurcations, chaos, and strange attractors. Zbl 0504.58001
Sparrow, Colin
1982
Chaos in a three-dimensional single loop feedback system with a piecewise linear feedback function. Zbl 0518.34037
Sparrow, C. T.
1981
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### Cited by 1,009 Authors

 20 Rodríguez-Luis, Alejandro J. 16 Algaba, Antonio 15 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 Gaubert, Stéphane 5 Ilchmann, Achim 5 Kurths, Jürgen 5 Liu, Yongjian 4 Barrio, Roberto 4 Belykh, Vladimir Nikitich 4 Boyarsky, Abraham 4 Champneys, Alan R. 4 Chen, Yuming 4 Coomes, Brian A. 4 Freire Macías, Emilio 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 Yang, Xiaosong 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 De Feo, Oscar 3 Ding, Yiming 3 Domínguez-Moreno, María C. 3 Dovgoshey, Oleksiy Alfredovich 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. ...and 909 more Authors
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### Cited in 175 Serials

 84 Physica D 71 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 17 Communications in Nonlinear Science and Numerical Simulation 15 Journal of Differential Equations 13 Journal of Fluid Mechanics 11 Journal of Statistical Physics 10 Ergodic Theory and Dynamical Systems 8 Applied Mathematics and Computation 8 Journal of Dynamics and Differential Equations 7 Computers & Mathematics with Applications 7 Nonlinearity 7 Dynamics and Stability of Systems 7 Discrete and Continuous Dynamical Systems 6 Journal of Number Theory 6 Journal of Nonlinear Science 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Physica A 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 Journal of Difference Equations and Applications 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 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Japan Journal of Applied Mathematics 3 European Journal of Applied Mathematics 3 Dynamics and Control 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 Linear Algebra and its Applications 2 SIAM Journal on Applied Mathematics 2 Indagationes Mathematicae. New Series 2 Physics of Fluids 2 Complexity 2 Journal of Mathematical Chemistry 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 ...and 75 more Serials
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### Cited in 43 Fields

 428 Dynamical systems and ergodic theory (37-XX) 278 Ordinary differential equations (34-XX) 69 Fluid mechanics (76-XX) 67 Systems theory; control (93-XX) 44 Numerical analysis (65-XX) 41 Partial differential equations (35-XX) 33 Biology and other natural sciences (92-XX) 29 Mechanics of particles and systems (70-XX) 16 Statistical mechanics, structure of matter (82-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 General topology (54-XX) 13 Optics, electromagnetic theory (78-XX) 11 Operator theory (47-XX) 10 Measure and integration (28-XX) 10 Classical thermodynamics, heat transfer (80-XX) 10 Geophysics (86-XX) 10 Information and communication theory, circuits (94-XX) 9 Combinatorics (05-XX) 9 Number theory (11-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Real functions (26-XX) 8 Probability theory and stochastic processes (60-XX) 7 Mechanics of deformable solids (74-XX) 6 Computer science (68-XX) 5 Difference and functional equations (39-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Statistics (62-XX) 5 Quantum theory (81-XX) 5 Operations research, mathematical programming (90-XX) 4 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 Field theory and polynomials (12-XX) 2 Convex and discrete geometry (52-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-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) 1 Integral equations (45-XX)