Size instabilities in rings of chaotic synchronized systems
Física Teórica, Facultad de Ciencias, Universidad de Salamanca, E-37008 Salamanca, Spain
2 Departamento de Física Aplicada, Universidad de Cantabria, E-39005 Santander, Spain
3 Group of Nonlinear Physics, Faculty of Physics, University of Santiago de Compostela, E-15706 Santiago de Compostela, Spain
Accepted: 14 January 1997
We consider the behavior of rings of unidirectionally coupled chaotic systems. When the number of oscillators in the ring is below a certain critical number the behavior of the ring is chaotic synchronized, while above this threshold an instability appears. The novel feature is that this instability may yield a chaotic rotating wave if some conditions are fulfilled.
PACS: 05.45.+b – Theory and models of chaotic systems / 47.20.Ky – Nonlinearity (including bifurcation theory)
© EDP Sciences, 1997