Chaotic motions near homoclinic manifolds and resonant tori in quasiperiodic perturbations of planar Hamiltonian systems
type: Item
instance of: scholarly article
title: Chaotic motions near homoclinic manifolds and resonant tori in quasiperiodic perturbations of planar Hamiltonian systems
zbMATH Open document ID: 0794.34037
DOI: 10.1016/0167-2789(93)90090-N
published in: Physica D
publication date: 1994-06-05T00:00:00Z
Mathematics Subject Classification ID: 34C37
Mathematics Subject Classification ID: 34C40
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 37J99
zbMATH DE Number: 567753
zbMATH Keywords: chaotic dynamics
zbMATH Keywords: nonlinear oscillators
zbMATH Keywords: two-frequency quasiperiodic perturbation
zbMATH Keywords: planar Hamiltonian system
zbMATH Keywords: homoclinic orbit
zbMATH Keywords: one-parameter family of periodic orbits
zbMATH Keywords: homoclinic manifold
zbMATH Keywords: family of invariant 3- tori
zbMATH Keywords: Melnikov's technique
zbMATH Keywords: second-order averaging method
zbMATH Keywords: Bernoulli shift
zbMATH Keywords: quasiperiodically forced Duffing oscillator
zbMATH Keywords: numerical simulation
author: Kazuyuki Yagasaki
MaRDI profile type: Publication
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full work available at URL: 0167-2789(93)90090-n
OpenAlex ID: W1967211878
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description: scientific article; zbMATH DE number 567753