Synchronization in a ring of pulsating oscillators with bidirectional couplings

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 9, Issue 11, 1999, Pages 2203-2207

  Díaz Guilera, Albert ^a   Perez Vicente, Conrad J ^a   Arenas, Alex ^b  

^a UNIVERSITY OF BARCELONA   (Spain)

^b UNIVERSITAT ROVIRA I VIRGILI   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033229501     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127499001632     Document Type: Article

References (13)

1. Abbott, L. F. & Van Vreeswijk, C. [1993] "Asynchronous states in networks of pulse-coupled oscillators," Phys. Rev. E48, 1483-1490.
2. Corral, A., Pérez, C. J., Díaz-Guilera, A. & Arenas, A. [1995] "Synchronization in a lattice model of pulse-coupled oscillators," Phys. Rev. Lett. 75, 3697-3700.
3. de Sousa Vieira, M., Lichtenberg, A. J. & Lieberman, M. A. [1994] "Self-synchronization of many coupled oscillators," Int. J. Bifurcation and Chaos 4, 1563-1577.
4. Díaz-Guilera, A., Arenas, A., Corral, A. & Pérez, C. J. [1997] "Stability of spatio-temporal structures in a lattice model of pulse-coupled oscillators," Physica 103D, 419-429.
5. Díaz-Guilera, A., Arenas, A. & Pérez, C. J. [1998] "Mechanisms of synchronization and pattern formation in a ring of coupled-oscillators," Phys. Rev. E57, 3820-3828.
6. Goldsztein, G. & Strogatz, S. H. [1995] "Stability of synchronization in networks of digital phase-locked loops," Int. J. Bifurcation and Chaos 5, 983-990.
7. Ikeda, N. [1982] "Model of bidirectional interaction between myocardial pacemakers based on the phase response curve," Biol. Cybern. 43, 157-167.
8. Ito, H. & Glass, L. [1992] "Theory of reentrant excitations in a ring of cardiac tissue," Physica D56, p. 84.
9. Kuramoto, Y. [1991] "Collective synchronization of pulse-coupled oscillators and excitable units," Physica 50D, 15-30.
10. Mirollo, R. & Strogatz, S. H. [1990] "Synchronization of pulse-coupled biological oscillators," SIAM J. Appl. Math. 50, 1645-1662.
11. Pérez, C. J., Corral, A., Díaz-Guilera, A., Christensen, K. & Arenas, A. [1996] "Self-organized criticality and synchronization in lattice models of coupled dynamical systems," Int. J. Mod. Phys. 10, 1111-1151.
12. Peskin, C. S. [1984] Mathematical Aspects of Heart Physiology, Courant Institute of Mathematical Sciences, New York University, p. 268.
13. Treves, A. [1993] "Mean-field analysis of neuronal spike dynamics," Network 4, 259-284.