Hyperbolicity conditions for the Lorenz model

DOI10.1016/0167-2789(81)90053-1zbMath1194.37043OpenAlexW1969912271MaRDI QIDQ994995

Elena B. Vul, Yakov G. Sinai

Publication date: 13 September 2010

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(81)90053-1

Mathematics Subject Classification ID

Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (7)

Properties of maps related to flows around a saddle point ⋮ From wild Lorenz-like to wild Rovella-like dynamics ⋮ Transitivity and invariant measures for the geometric model of the Lorenz equations ⋮ On the construction of Lyapunov functions with computer assistance ⋮ A Lorenz-type attractor in a piecewise-smooth system: Rigorous results ⋮ Plykin-type attractor in nonautonomous coupled oscillators ⋮ Chaos and Wild Chaos in Lorenz-Type Systems

Cites Work

• The ergodic theory of axiom A flows
• Discovery of closed orbits of dynamical systems with the use of computers
• Markov partitions and \(C\)-diffeomorphisms
• Deterministic Nonperiodic Flow
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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