https://doi.org/10.1140/epjb/e2002-00415-3
Spatial orders appearing at instabilities of synchronous chaos of spatiotemporal systems
1
Science school, Beijing University of Posts and
Telecommunications, Beijing 100876, PR China
2
Centre of Nonlinear Studies and Department of Physics, Hong Kong
Baptist University, Hong Kong, PR China
3
Department of Physics, University of Normal Beijing, Beijing 100875,
PR China
4
China Center for Advanced Science and Technology (CCAST)
(World Laboratory), PO Box 8730, Beijing 100080, PR China
5
Institute of Low Energy Physics, Beijing Normal University, Beijing 100875, PR China
Received:
31
July
2002
Revised:
20
November
2002
Published online:
31
December
2002
Various spatial orders introduced by the instabilities of synchronous chaotic state of spatiotemporal systems are investigated by considering coupled map lattice and chaotic partial differential equation. In particular, the motions of on-off intermittent states at the onset of the instabilities are studied in detail. The chaotic desynchronized patterns can be described by a simple universal form, including three parts: the synchronous chaos; a spatially ordered pattern, determined by the unstable mode of the reference synchronous chaos; and on-off intermittency of the scale of this given pattern.
PACS: 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems / 05.45.Jn – High-dimensional chaos / 05.45.Xt – Synchronization; coupled oscillators
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2002
