Characteristics of cluster formation in a population of globally coupled electrochemical oscillators: An experiment-based phase model approach

Progress of Theoretical Physics Supplement

Volumn 161, Issue , 2006, Pages 99-106

  Kiss, István Z ^a   Zhai, Yumei ^a   Hudson, John L ^a  

^a University of Virginia   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33745242874     PISSN: 03759687     EISSN: 13474081     Source Type: Journal    
DOI: 10.1143/PTPS.161.99     Document Type: Conference Paper

References (23)

1. A. S. Pikovsky, M. Rosenblum and J. Kurths, Synchronization: A Universal Concept in Nonlinear Science (Cambridge University Press, Cambridge, 2001).
2. Y. Kuramoto, Chemical oscillations, waves and turbulence (Springer, Berlin, 1984).
3. S. C. Manrubia, A. S. Mikhailov and D. H. Zanette, Emergence of Dynamical Order: Synchronization Phenomena in Complex Systems (World Scientific, Singapore, 2004).
4. A. T. Winfree, J. Theor. Biol. 16 (1967), 15.
5. A. T. Winfree, The geometry of biological time (Springer-Verlag, New York, 1980).
6. H. Sakaguchi, S. Shinomoto and Y. Kuramoto, Prog. Theor. Phys. 77 (1987), 1005.
7. G. B. Ermentrout and N. Kopell, J. Math. Biol. 29 (1991), 195.
8. D. Hansel, G. Mato and C. Meunier, Phys. Rev. E 48 (1993), 3470.
9. K. Okuda, Physica D 63 (1993), 424.
10. S. K. Han, C. Kurrer and Y. Kuramoto, Phys. Rev. Lett. 75 (1995), 3190.
11. H. Daido, Physica D 91 (1996), 24.
12. S. H. Strogatz, Physica D 143 (2000), 1.
13. H. Kori, Phys. Rev. E 68 (2003), 021919.
14. D. Colomb et al., Phys. Rev. A 45 (1992), 3516.
15. I. Z. Kiss, W. Wang and J. L. Hudson, J. Phys. Chem. B 103 (1999), 11433.
16. V. K. Vanag et al., Nature 406 (2000), 389.
17. M. Bertram et al., Phys. Rev. E 67 (2003), 036208.
18. G. B. Ermentrout and D. Kleinfeld, Neuron 39 (2001), 33.
19. R. F. Galan, G. B. Ermentrout and N. N. Urban, Phys. Rev. Lett. 94 (2005), 158101.
20. I. Z. Kiss, Y. M. Zhai and J. L. Hudson, Phys. Rev. Lett. 94 (2005), 248301.
21. B. Pfeuty et al., J. Neurosci. 23 (2003), 6280.
22. D. Hansel, G. Mato and C. Meunier, Europhys. Lett. 23 (1993), 367.
23. T. J. Lewis and J. Rinzel, J. Comp. Neur. 14 (2003), 283.