Strange attractors across the boundary of hyperbolic systems

DOI10.1007/S002200050825zbMath0957.37032OpenAlexW2042563130MaRDI QIDQ1583005

Carlos A. Morales, Enrique R. Pujals, Maria Jose Pacifico

Publication date: 22 October 2000

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002200050825

zbMATH Keywords

strange attractorsAxiom ALorenz attractorsbifurcation of hyperbolic vector fields

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems with hyperbolic orbits and sets (37D05)

Related Items (11)

Parameter-shifted shadowing property for geometric Lorenz attractors ⋮ Unnamed Item ⋮ On the volume of singular-hyperbolic sets ⋮ Examples of singular-hyperbolic attracting sets ⋮ Existence of \(C^k\)-invariant foliations for Lorenz-type maps ⋮ Decay of correlations, quantitative recurrence and logarithm law for contracting Lorenz attractors ⋮ Poincaré-Hopf index and partial hyperbolicity ⋮ An improved sectional-Anosov closing Lemma ⋮ Singular-hyperbolic attractors are chaotic ⋮ Statistical stability of saddle-node arcs ⋮ Singular strange attractors beyond the boundary of hyperbolic flows

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