Causal stability and synchronization

0545372 - ÚI 2022 US eng J - Článek v odborném periodiku
Kathpalia, Aditi - Nagaraj, N.
Causal stability and synchronization.
Chaos. Roč. 29, č. 9 (2019), č. článku 091103. ISSN 1054-1500. E-ISSN 1089-7682
Klíčová slova: phase synchronization
Impakt faktor: 2.832, rok: 2019

Synchronization of chaos arises between coupled dynamical systems and is very well understood as a temporal phenomenon, which leads the coupled systems to converge or develop a dependence with time. In this work, we provide a complementary spatial perspective to this phenomenon by introducing the novel idea of causal stability. We then propose and prove a causal stability synchronization theorem as a necessary and sufficient condition for complete synchronization. We also provide an empirical criterion to identify synchronizing variables in coupled identical chaotic dynamical systems based on intrasystem causal influences estimated using time series data of the driving system alone. For this, a recently proposed measure, Compression-Complexity Causality (CCC), is used. The sign and magnitude of the estimated CCC value capture the nature of dynamical influences from each variable to rest of the subsystem and are thus able to determine whether or not the variable, when used to couple another system, will drive that system to synchronization.
Trvalý link: http://hdl.handle.net/11104/0322081