219 research outputs found
Analysis of Transient Processes in a Radiophysical Flow System
Transient processes in a third-order radiophysical flow system are studied
and a map of the transient process duration versus initial conditions is
constructed and analyzed. The results are compared to the arrangement of
submanifolds of the stable and unstable cycles in the Poincare section of the
system studied.Comment: 3 pages, 2 figure
Generalized synchronization onset
The behavior of two unidirectionally coupled chaotic oscillators near the
generalized synchronization onset has been considered. The character of the
boundaries of the generalized synchronization regime has been explained by
means of the modified systemComment: 7 pages, 3 figure
Generalized synchronization: a modified system approach
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 occurrence may be
clarified by means of a modified system approach. The main results are
illustrated by unidirectionally coupled Rossler systems, Rossler and Lorenz
systems and logistic maps.Comment: 4 pages, 2 figure
A Method for Determining the Transient Process Duration in Dynamic Systems in the Regime of Chaotic Oscillations
We describe a method for determining the transient process duration in a
standard two-dimensionaldynamic system with discrete time (Henon map),
occurring in the regime of chaotic oscillationsComment: 4 pages, 2 figure
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