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Detecting unstable periodic spatio-temporal states of spatial extended chaotic systems
Alexander Hramov, Alexey Koronovskii
The method of detection of the unstable periodic spatio-temporal states of spatial extended chaotic systems has been proposed. The application of this method is illustrated by the…
Generalized Chaotic Synchronizationin Coupled Ginzburg-Landau Equations
A. A. Koronovskii, P. V. Popov, A. E. Hramov
Generalized synchronization is analyzed in unidirectionally coupled oscillatory systems exhibiting spatiotemporal chaotic behavior described by Ginzburg-Landau equations. Several t…
Generalized Synchronization in Ginzburg-Landau Equations with Local Coupling
P. V. Popov, A. A. Koronovskii, A. E. Hramov
The establishment of generalized chaotic synchronization in Ginzburg-Landau equations unidirectionally coupled at discrete points of space (local coupling) has been studied. It is…
Synchronous Behavior of Coupled Systems with Discrete Time
A. A. Koronovskii, A. E. Hramov, A. E. Khramova
The dynamics of one-way coupled systems with discrete time is considered. The behavior of the coupled logistic maps is compared to the dynamics of maps obtained using the Poincare…