Anomalous relationship between spatial and temporal patterns of dynamical behavior

Citation
L. Rubchinsky et M. Sushchik, Anomalous relationship between spatial and temporal patterns of dynamical behavior, INT J B CH, 9(12), 1999, pp. 2329-2333
Citations number
13
Categorie Soggetti
Multidisciplinary
Journal title
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN journal
02181274 → ACNP
Volume
9
Issue
12
Year of publication
1999
Pages
2329 - 2333
Database
ISI
SICI code
0218-1274(199912)9:12<2329:ARBSAT>2.0.ZU;2-K
Abstract
The relationship between spatial and temporal patterns of dynamical behavio r is studied in the nonequilibrium, extended homogeneous system. We present an example of "anomalous" relationship between spatial and temporal patter ns of behavior and discuss possible mechanisms of this phenomenon. By anoma lous relationship we mean a situation when only chaotic temporal dynamics i s possible in the spatially homogeneous regime, while in the spatially inho mogeneous regime temporal dynamics can be regular at the same value of para meters. We studied this phenomenon in the array of identical coupled Chua's circuits.