scientific article; zbMATH DE number 486695

zbMath0781.58018MaRDI QIDQ4275435

Leonid A. Bunimovich, M. V. Yakobson, Ya. B. Pesin, Yakov G. Sinai

Publication date: 6 January 1994

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zbMATH Keywords

attractorsJulia setsbibliographyhyperbolic systemsergodicitystochasticityone-dimensional mapsKAM-theorysmooth dynamical systems

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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Pathologies generated by round-off in dynamical systems ⋮ Average shadowing and gluing property ⋮ Ergodic properties of a method of numerical simulation of chaotic dynamical systems ⋮ Generalized phase transitions in finite coupled map lattices ⋮ Chaos and order in the multidimensional Frenkel-Kontorova model

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