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Synchronization in lattices of coupled oscillators

โœ Scribed by V.S. Afraimovich; S.-N. Chow; J.K. Hale

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
444 KB
Volume
103
Category
Article
ISSN
0167-2789

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โœฆ Synopsis

We consider coupled nonlinear oscillators with external periodic forces and the Dirichlet boundary conditions. We prove that synchronization occurs provided that the coupling is dissipative and the coupling coefficients are sufficiently large. The synchronization here is of an obvious type -the size of an attractor is comparable to the difference of the subsystems.

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