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On possibility of realization of the phenomena of complex analytic dynamics in physical systems. Novel mechanism of the synchronization loss in coupled period-doubling systems
O. B. Isaeva, S. P. Kuznetsov
The possibility of realization of the phenomena of complex analytic dynamics for the realistic physical models are investigated. Observation of the Mandelbrot and Julia sets in the…
Generalized synchronization: a modified system approach
Alexander E. Hramov, Alexey A. Koronovskii
The universal mechanism resulting in the generalized synchronization regime arising in the chaotic oscillators with the dissipative coupling has been described. The reasons of the…
Generalized synchronization in coupled Ginzburg-Landau equations and mechanisms of its arising
Alexander E. Hramov, Alexey A. Koronovskii, Pavel V. Popov
Generalized chaotic synchronization regime is observed in the unidirectionally coupled one-dimensional Ginzburg-Landau equations. The mechanism resulting in the generalized synchro…
Dynamics of Small Perturbations of Orbits on a Torus in a Quasiperiodically Forced 2D Dissipative Map
Alexey Yu. Jalnine, Sergey P. Kuznetsov, Andrew H. Osbaldestin
We consider the dynamics of small perturbations of stable two-frequency quasiperiodic orbits on an attracting torus in the quasiperiodically forced Henon map. Such dynamics consist…
Synchronization of spectral components and its regularities in chaotic dynamical systems
Alexander E. Hramov, Alexey A. Koronovskii, Mariya Kurovskaya +1
The chaotic synchronization regime in coupled dynamical systems is considered. It has been shown, that the onset of synchronous regime is based on the appearance of the phase relat…
Intermittent generalized synchronization in unidirectionally coupled chaotic oscillators
Alexander E. Hramov, Alexey A. Koronovskii
A new behavior type of unidirectionally coupled chaotic oscillators near the generalized synchronization transition has been detected. It has been shown that the generalized synchr…