ESTIMATING HYPERBOLICITY OF CHAOTIC BIDIMENSIONAL MAPS

DOI10.1142/S0218127412502173zbMath1258.37055arXiv1206.3986OpenAlexW2089838496MaRDI QIDQ4907085

Matteo Sala, Cesar Manchein, Roberto Artuso

Publication date: 1 March 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.3986

zbMATH Keywords

invariancehyperbolicitystandard mapcovariant Lyapunov vectorsoseledets splitting

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Partially hyperbolic systems and dominated splittings (37D30)

Related Items (4)

Weak dissipative effects on trajectories from the edge of basins of attraction ⋮ Studying partial hyperbolicity inside regimes of motion in Hamiltonian systems ⋮ Studying finite-time (non)-domination in dynamical systems using Oseledec's splitting. Application to the standard map ⋮ Oseledets' splitting of standard-like maps

Cites Work

• A two-dimensional mapping with a strange attractor
• Transient measures in the standard map
• Large and moderate deviations for slowly mixing dynamical systems
• CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
• Unnamed Item

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