The Melnikov Theory for Subharmonics and Their Bifurcations in Forced Oscillations

DOI10.1137/S0036139995281317zbMath0867.34025MaRDI QIDQ5691310

Kazuyuki Yagasaki

Publication date: 28 January 1997

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

bifurcationperiodic perturbationsinvariant circlessubharmonic Melnikov theorydegenerate resonance caseplanar Hamiltonianstability of subharmonics

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Forced motions for nonlinear problems in mechanics (70K40) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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