Combinatorial dynamics

Dynamical Systems

Volumn 19, Issue 3, 2004, Pages 217-243

  Field, Michael ^a  

^a University of Houston   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMBINATORIAL DYNAMICS; COUPLES CELL SYSTEMS; GROUPOID STRUCTURES; QUOTIENT NETWORKS;

ALGEBRA; COMPUTER SIMULATION; CONTROL SYSTEMS; DIFFERENTIAL EQUATIONS; GRAPH THEORY; MATHEMATICAL MODELS; NONLINEAR EQUATIONS;

ANALOG COMPUTERS;

EID: 4444333343     PISSN: 14689367     EISSN: None     Source Type: Journal    
DOI: 10.1080/14689360410001729379     Document Type: Article

References (11)

1. Dias, A., and Stewart, I., 2004, Symmetry groupoids and admissible vector fields for coupled cell networks. Journal of the London Mathematical Society, 2, 707-736.
2. Dionne, B., Golubitsky, M., and Stewart, I., 1996a, Coupled cells with internal symmetry Part I: wreath products. Nonlinearity, 9, 559-574.
3. Dionne, B., Golubitsky, M., and Stewart, I., 1996b, Coupled cells with internal symmetry Part II: direct products. Nonlinearity, 9, 575-599.
4. Field, M. J., 1996, Dynamics, Bifurcation and Symmetry, Pitman Research Notes in Mathematics, Vol. 356.
5. Field, M., and Ashwin, P., Heteroclinic networks in coupled cell systems (in preparation).
6. Golubitsky, M., Nicol, M., and Stewart, I., 2004, Some curious phenomena in coupled cell networks. Journal of Nonlinear Sciences, 14(2), 119-236
7. Golubitsky, M., Schaeffer, D. G., and Stewart, I. N., 1988, Singularities and Groups in Bifurcation Theory, Vol. II, Appl. Math. Sci. 69 (New York: Springer-Verlag).
8. Golubitsky, M., and Stewart, I., 2002, The Symmetry Perspective (Basel: Birkhäuser-Verlag).
9. Golubitsky, M., Stewart, I., and Török, A., 2003, Patterns of synchrony in coupled cell networks with multiple arrows. Preprint.
10. Stewart, I., Golubitsky, M., and Pivato, M., 2003, Symmetry groupoids and patterns of synchrony in coupled cell networks. SIAM Journal of Applied Dynamical Systems, 2(4), 606-646.
11. Truit, T. D., and Rogers, A. E., 1960, Basics of Analog Computers (New York: John F. Rider Publisher Inc.).