منابع مشابه
Blowout bifurcation in a system of coupled chaotic lasers
We show that loss of synchronization of two identical coupled chaotic class B lasers can occur via a blowout bifurcation. This occurs when a transverse Lyapunov exponent governing the stability of a synchronized subspace passes through zero. A system of two laterally coupled lasers with modulated parameters is investigated numerically in a region of chaotic behavior. A total of five invariant s...
متن کاملPeriodic-orbit theory of the blowout bifurcation
This paper presents a theory for characterization of the blowout bifurcation by periodic orbits. Blowout bifurcation in chaotic systems occurs when a chaotic attractor, lying in some symmetric invariant subspace, becomes transversely unstable. We present an analysis and numerical results that indicate that the bifurcation is mediated by changes in the transverse stability of an infinite number ...
متن کاملOn the Unfolding of a Blowout Bifurcation
Suppose a chaotic attractor A in an invariant subspace loses stability on varying a parameter At the point of loss of stability the most positive Lya punov exponent of the natural measure on A crosses zero at what has been called a blowout bifurcation We introduce the notion of an essential basin of an attractor with an invari ant measure This is the set of points such that the set of measures ...
متن کاملApproximating chaotic saddles for delay differential equations.
Chaotic saddles are unstable invariant sets in the phase space of dynamical systems that exhibit transient chaos. They play a key role in mediating transport processes involving scattering and chaotic transients. Here we present evidence (long chaotic transients and fractal basins of attraction) of transient chaos in a "logistic" delay differential equation. We adapt an existing method (stagger...
متن کاملInfluence of noise near blowout bifurcation
We consider effects of zero-mean additive noise on systems that are undergoing supercritical blowout bifurcation, i.e., where a chaotic attractor in an invariant subspace loses transverse stability to a nearby on-off intermittent attractor. We concentrate on the low noise limit and two statistical properties of the trajectories; the variance of the normal component and the mean first crossing t...
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ژورنال
عنوان ژورنال: Discrete Dynamics in Nature and Society
سال: 1999
ISSN: 1026-0226,1607-887X
DOI: 10.1155/s1026022699000023