Bailout Embedding as a Blowout Bifurcation
نویسندگان
چکیده
منابع مشابه
On 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 کاملBlowout Bifurcation Route to Strange Nonchaotic Attractors.
Strange nonchaotic attractors are attractors that are geometrically strange, but have nonpositive Lyapunov exponents. We show that for dynamical systems with an invariant subspace in which there is a quasiperiodic torus, the loss of the transverse stability of the torus can lead to the birth of a strange nonchaotic attractor. A physical phenomenon accompanying this route to strange nonchaotic a...
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 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...
متن کاملBubbling and on-off intermittency in bailout embeddings.
We establish and investigate the conceptual connection between the dynamics of the bailout embedding of a Hamiltonian system and the dynamical regimes associated with the occurrence of bubbling and blowout bifurcations. The roles of the invariant manifold and the dynamics restricted to it, required in bubbling and blowout bifurcating systems, are played in the bailout embedding by the embedded ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Progress of Theoretical Physics Supplement
سال: 2003
ISSN: 0375-9687
DOI: 10.1143/ptps.150.465