منابع مشابه
Discontinuous generalized synchronization of chaos
We study synchronization functions in basic examples of discontinuous forced systems with contractive response and chaotic driving. The forcing is given by baker-type maps and the response is assumed to depend monotonically on the drive. The resulting synchronization functions have dense sets of discontinuities and their graphs appear to be extremely choppy. We show that these functions have bo...
متن کاملDifferentiable generalized synchronization of chaos
We consider simple Lyapunov-exponent-based conditions under which the response of a system to a chaotic drive is a smooth function of the drive state. We call this differentiable generalized synchronization ~DGS!. When DGS does not hold, we quantify the degree of nondifferentiability using the Hölder exponent. We also discuss the consequences of DGS and give an illustrative numerical example. @...
متن کاملGeneralized Synchronization of Chaos via Linear Transformations
Generalized synchronization (GS) of two chaotic systems is a generalization of identical synchronization. Usually, the manifold of GS is much more complex than the driven system and the driving system. In this paper, we study a special case of GS in which the synchronization manifold is linear (linear GS for short). In a theorem, we present the necessary and sufficient conditions under which a ...
متن کاملGeneralized synchronization of chaos in noninvertible maps.
The properties of functional relation between a noninvertible chaotic drive and a response map in the regime of generalized synchronization of chaos are studied. It is shown that despite a very fuzzy image of the relation between the current states of the maps, the functional relation becomes apparent when a sufficient interval of driving trajectory is taken into account. This paper develops a ...
متن کاملSubharmonic destruction of generalized chaos synchronization.
A bifurcation of transition that destroys generalized chaos synchronization is considered. This transition frequently occurs in regimes of subharmonic chaos entrainment where synchronization can be abruptly terminated due only to an almost unnoticeable change in the shape of the driving attractor. We explore the main cause of this sensitivity and ascertain the mechanism behind this transition.
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ژورنال
عنوان ژورنال: Dynamical Systems
سال: 2012
ISSN: 1468-9367,1468-9375
DOI: 10.1080/14689367.2011.594787