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Existence of exponentially small separatrix splittings and homoclinic connections between whiskered tori in weakly hyperbolic near-integrable Hamiltonian systems - MaRDI portal

Existence of exponentially small separatrix splittings and homoclinic connections between whiskered tori in weakly hyperbolic near-integrable Hamiltonian systems (Q1963422)

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scientific article; zbMATH DE number 1397354
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English
Existence of exponentially small separatrix splittings and homoclinic connections between whiskered tori in weakly hyperbolic near-integrable Hamiltonian systems
scientific article; zbMATH DE number 1397354

    Statements

    Existence of exponentially small separatrix splittings and homoclinic connections between whiskered tori in weakly hyperbolic near-integrable Hamiltonian systems (English)
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    1 February 2000
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    Arnold diffusion
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    exponentially small splitting of separatrices
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    a priori stable systems
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    KAM theory
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    homoclinic manifolds
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    weakly hyperbolic tori
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    Nekhoroshev exponent
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    Melnikov integrals
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    analytic perturbation
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    homoclinic orbits
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    whiskered tori
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