1,569 research outputs found
Stability of Synchronized Chaos in Coupled Dynamical Systems
We consider the stability of synchronized chaos in coupled map lattices and
in coupled ordinary differential equations. Applying the theory of Hermitian
and positive semidefinite matrices we prove two results that give simple bounds
on coupling strengths which ensure the stability of synchronized chaos.
Previous results in this area involving particular coupling schemes (e.g.
global coupling and nearest neighbor diffusive coupling) are included as
special cases of the present work.Comment: 9 page
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