Izvestiya of Saratov University.
ISSN 1817-3020 (Print)
ISSN 2542-193X (Online)


Cluster synchronization destruction and chaos in an inhomoceneous active medium

We show that in an inhomogeneous self-sustained oscillatory medium the destruction of perfect clusters of partial synchronization, that is induced both by varying the control parameter and by noise, leads to the onset of chaotic behavior. We study the mechanisms of chaos formation in both cases. It is demonstrated that as parameters change, the transition to chaos in the deterministic medium can result from a hard (subcritical) period-doubling bifurcation and can be accompanied by intermittency.

The Sine–Gordon Brizer Stochastic Dissoziation in an External Fields

It is investigated, the Sine–Gordon brizer stochastic dissoziation in the external fields by the maximal Lyapunov parameters method in adiabatic approach. Dependence between the Sine-Gordon brizer dissoziation speed and the maximal Lyapunov parameters values is established. It is discussed also, the efficiency of the various numerical methods of research of the determined chaos of dynamic systems.