Structure of complex-periodic and chaotic media with spiral waves

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 54, Issue 5, 1996, Pages 5469-5481

  Goryachev, Andrei ^a   Kapral, Raymond ^a  

^a UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000498579     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/physreve.54.5469     Document Type: Article

References (25)

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2. A.S, Mikhailov, Foundations of Synergetics I. Distributed Active Systems (Springer-Verlag, Berlin, 1994); Chemical Waves and Patterns, edited by R. Kapral and K. Showalter (Kluwer, Dordrecht, 1995).
3. A.T. Winfree, The Geometry of Biological Time (Springer-Verlag, Berlin, 1980).
4. See P. Fife, in Non-Equilibrium Dynamics in Chemical Systems, edited by C. Vidal and A. Pacault (Springer-Verlag, Berlin, 1984).
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15. d* and c* is neglected.
16. These types of spiral wave core behavior were observed and studied in excitable media. See, for instance, A.T. Winfree, Chaos 1, 303 (1991); D. Barkley, Phys. Rev. Lett. 72, 164 (1994).
17. These types of spiral wave core behavior were observed and studied in excitable media. See, for instance, A.T. Winfree, Chaos 1, 303 (1991); D. Barkley, Phys. Rev. Lett. 72, 164 (1994).
18. The difference between period 2 and period 4 is not clearly seen in Fig. 4 due to insufficient spatial resolution of the phase using the color-coding scheme.
19. We assume that the oscillation pattern can possess period-4, period-8, or higher order fine structure but we are only concerned with whether the representative point falls within the smaller or larger band of period-2.
20. J.S. Birman, Braids, Links and Mapping Class Groups (Princeton University Press, Princeton, 1974).
21. This assumption is valid for the WR model since the motion along longer loops is faster than that along shorter loops.
22. nt are equivalent in their action on a period-2 oscillation the signs are chosen to preserve consistency with cases n> 1.
23. 4 attractors within period-doubling cascade found numerically for the system (2).
24. F. Argoul, A. Arneodo, P. Richetti, J.C. Roux, and H.L. Swinney, Acc. Chem. Res. 20, 436 (1987).
25. G.S. Skinner and H.L. Swinney, Physica D 48, 1 (1991).