Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2005-09-06
Nonlinear Sciences
Chaotic Dynamics
14 pages, 9 figures
Scientific paper
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 parameter and phase spaces both for the discrete maps and non-autonomous continuous systems is carried out. For these purposes, the method, based on consideration of coupled systems, demonstrating period-doubling cascade is suggested. Novel mechanism of synchronization loss in coupled systems corresponded to the dynamical behavior intrinsic to the complex analytic maps is offered.
Isaeva Olga B.
Kuznetsov Sergey P.
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