Center Lyapunov exponents in partially hyperbolic dynamics
نویسندگان
چکیده
منابع مشابه
Lyapunov Exponents of Hyperbolic Measures and Hyperbolic Periodic Orbits
Lyapunov exponents of a hyperbolic ergodic measure are approximated by Lyapunov exponents of hyperbolic atomic measures on periodic orbits.
متن کاملLyapunov Exponents
The analysis of potentially chaotic behavior in biological and biomedical phenomena has attracted great interest in recent years (1–6). Although no universally accepted mathematical definition of the term chaos exists, Strogatz (7) provides a working definition as ‘‘aperiodic long-term behavior in a deterministic system that exhibits sensitive dependence on initial conditions.’’ Aperiodic long-...
متن کاملLyapunov Exponents
We are interested in iterates of the logistic map T : [0, 1] → [0, 1] defined by
متن کاملStable Ergodicity for Partially Hyperbolic Attractors with Negative Central Exponents
We establish stable ergodicity of diffeomorphisms with partially hyperbolic attractors whose Lyapunov exponents along the central direction are all negative with respect to invariant SRBmeasures.
متن کاملSymplectic Diffeomorphisms: Partial Hyperbolicity and Zero Center Lyapunov Exponents
It is proven that for a C-generic symplectic diffeomorphism f of any closed manifold, the Oseledets splitting along almost every orbit is either trivial or partially hyperbolic. In addition, if f is not Anosov then all the exponents in the center bundle vanish. This establishes in full a result announced by Mañé in the ICM 1983. The main technical novelty is a probabilistic method for the const...
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: Journal of Modern Dynamics
سال: 2015
ISSN: 1930-5311
DOI: 10.3934/jmd.2014.8.549