SYNCHRONIZATION IN LATTICES OF COUPLED OSCILLATORS

Authors
AFRAIMOVICH VS CHOW SN HALE JK
Citation
Vs. Afraimovich et al., SYNCHRONIZATION IN LATTICES OF COUPLED OSCILLATORS, Physica. D, 103(1-4), 1997, pp. 442-451
Citations number
16
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Physica. D → ACNP
ISSN journal
01672789
Volume
103
Issue
1-4
Year of publication
1997
Pages
442 - 451
Database
ISI
SICI code
0167-2789(1997)103:1-4<442:SILOCO>2.0.ZU;2-O
Abstract
We consider coupled nonlinear oscillators with external periodic force s and the Dirichlet boundary conditions. We prove that synchronization occurs provided that the coupling is dissipative and the coupling coe fficients are sufficiently large. The synchronization here is of an ob vious type - the size of an attractor is comparable to the difference of the subsystems.