On Lyapunov exponent and sensitivity.
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Publication:1428230
DOI10.1016/j.jmaa.2003.10.029zbMath1034.37019OpenAlexW2084525984MaRDI QIDQ1428230
Gérard Biau, Christophe Abraham, Benoît Cadre
Publication date: 14 March 2004
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.10.029
Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving maps of the interval (37E05)
Related Items (13)
Lyapunov Exponents, Sensitivity, and Stability for Non-Autonomous Discrete Systems ⋮ On Weak Lyapunov Exponent and Sensitive Dependence of Interval Maps ⋮ Stronger version sensitivity, almost finite to one extension and maximal pattern entropy ⋮ Lyapunov exponents and sensitive dependence ⋮ Auslander-Yorke type dichotomy theorems for stronger versions of $r$-sensitivity ⋮ Furstenberg families and sensitivity ⋮ RECENT DEVELOPMENTS IN DYNAMICAL SYSTEMS: THREE PERSPECTIVES ⋮ Dynamical compactness and sensitivity ⋮ A simple non-autonomous system with complicated dynamics ⋮ On pairwise sensitivity ⋮ Lyapunov exponent of the random Schrödinger operator with short-range correlated noise potential ⋮ Chaotic properties of mappings on a probability space. ⋮ Nonlinear analysis of memcapacitor-based hyperchaotic oscillator by using adaptive multi-step differential transform method
Cites Work
- Dynamics in one dimension
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- Statistics, probability and chaos. With discussion and a rejoinder by the author
- Chaos, fractals and statistics
- Chaotic properties of mappings on a probability space.
- Geodesic flows, interval maps, and symbolic dynamics
- On Devaney's Definition of Chaos
- Sensitive dependence on initial conditions
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