Jf. Heagy et al., SYNCHRONOUS CHAOS IN COUPLED OSCILLATOR-SYSTEMS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 50(3), 1994, pp. 1874-1885
We investigate the synchronization of chaotic oscillations in coupled
oscillator systems, both theoretically and in analog electronic circui
ts. Particular attention is paid to deriving and testing general condi
tions for the stability of synchronous chaotic behavior in cases where
the coupled oscillator array possesses a shift-invariant symmetry. Th
ese cases include the well studied cases of nearest-neighbor diffusive
coupling and all-to-all or global coupling. An approximate criterion
is developed to predict the stability of synchronous chaotic oscillati
ons in the strong coupling limit, when the oscillators are coupled thr
ough a single coordinate (scalar coupling). This stability criterion i
s illustrated numerically in a set of coupled Rossler-like oscillators
. Synchronization experiments with coupled Rossler-like oscillator cir
cuits are also carried out to demonstrate the applicability of the the
ory to real systems.