Chaotic motions near homoclinic manifolds and resonant tori in quasiperiodic perturbations of planar Hamiltonian systems (Q1325883)

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scientific article; zbMATH DE number 567753
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Chaotic motions near homoclinic manifolds and resonant tori in quasiperiodic perturbations of planar Hamiltonian systems
scientific article; zbMATH DE number 567753

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    Chaotic motions near homoclinic manifolds and resonant tori in quasiperiodic perturbations of planar Hamiltonian systems (English)
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    5 June 1994
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    chaotic dynamics
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    nonlinear oscillators
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    two-frequency quasiperiodic perturbation
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    planar Hamiltonian system
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    homoclinic orbit
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    one-parameter family of periodic orbits
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    homoclinic manifold
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    family of invariant 3- tori
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    Melnikov's technique
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    second-order averaging method
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    Bernoulli shift
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    quasiperiodically forced Duffing oscillator
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    numerical simulation
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