SYNCHRONIZING SPATIOTEMPORAL CHAOS OF PARTIAL-DIFFERENTIAL EQUATIONS

Citation
L. Kocarev et al., SYNCHRONIZING SPATIOTEMPORAL CHAOS OF PARTIAL-DIFFERENTIAL EQUATIONS, Physical review letters, 79(1), 1997, pp. 51-54
Citations number
31
Categorie Soggetti
Physics
Journal title
ISSN journal
00319007
Volume
79
Issue
1
Year of publication
1997
Pages
51 - 54
Database
ISI
SICI code
0031-9007(1997)79:1<51:SSCOPE>2.0.ZU;2-V
Abstract
A general approach for synchronizing pairs of unidirectionally coupled partial differential equations (PDEs) with spatiotemporally chaotic d ynamics is introduced. We show that for a large class of PDEs, a pair of PDEs can be synchronized by driving the response system only at a f inite number of space points. We also discuss the relevance of our res ults for control of spatiotemporal chaos.