Open AccessNetwork synchronization of spatiotemporal chaos and parameter identification in complex Ginzburg-Landau equation
Author(s) -
Ling Lyu,
Gang Li,
Wen Xu,
Lyu Na,
Fan Xin
Publication year - 2012
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.61.060507
Subject(s) - synchronization (alternating current) , identification (biology) , complex network , chaos (operating system) , synchronization of chaos , computer science , stability (learning theory) , lyapunov stability , lyapunov function , ginzburg–landau theory , complex system , synchronization networks , control theory (sociology) , statistical physics , topology (electrical circuits) , mathematics , physics , nonlinear system , artificial intelligence , control (management) , botany , computer security , combinatorics , quantum mechanics , biology , machine learning , world wide web , magnetic field
The synchronization and the parameter identification of a complex network are studied, in which nodes are uncertain spatiotemporal chaos systems. The recognition laws of parameters are designed, and the unknown parameters in spatiotemporal chaos systems at the nodes of the complex network are identified. An appropriate Lyapunov function is constructed, and the conditions of realizing global synchronization of the network are discussed and confirmed based on the stability theory. The uncertain complex Ginzburg-Landau equation having spatiotemporal chaos behavior is taken as nodes in the complex network, and simulation results of spatiotemporal chaos synchronization and parameter identification show the effectiveness of the method.