Non-uniformly expanding dynamics in maps with singularities and criticalities

DOI10.1007/BF02698857zbMath0978.37029OpenAlexW2028323882MaRDI QIDQ1594560

Stefano Luzzatto, Warwick Tucker

Publication date: 7 February 2002

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=PMIHES_1999__89__179_0

zbMATH Keywords

interval mapsLorenz systemLyapunov exponentreturn mapbinding periodbounded recurrence

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving maps of the interval (37E05)

Related Items (11)

Invariant measures for interval maps without Lyapunov exponents ⋮ Finding First Foliation Tangencies in the Lorenz System ⋮ Repellers for non-uniformly expanding maps with singular or critical points ⋮ Rigorous numerics for critical orbits in the quadratic family ⋮ On cusps and flat tops ⋮ Finite resolution dynamics ⋮ What's new on Lorenz strange attractors? ⋮ Global bifurcations to strange attractors in a model for skew varicose instability in thermal convection ⋮ Uniform Expansivity Outside a Critical Neighborhood in the Quadratic Family ⋮ Invariant measures for interval maps with critical points and singularities ⋮ STATISTICAL PROPERTIES OF ONE-DIMENSIONAL MAPS WITH CRITICAL POINTS AND SINGULARITIES

Cites Work

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