Degenerate resonances in forced oscillators

DOI10.3934/dcdsb.2003.3.423zbMath1126.34327OpenAlexW2062371082MaRDI QIDQ2644252

Kazuyuki Yagasaki

Publication date: 7 September 2007

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2003.3.423

zbMATH Keywords

bifurcationMelnikov methodsubharmonic orbitnonlinear oscillatordegenerate resonance

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) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (11)

Nonintegrability of nearly integrable dynamical systems near resonant periodic orbits ⋮ Bifurcations of periodic orbits in Duffing equation with periodic damping and external excitations ⋮ Bifurcations and chaos in three-well Duffing system with one external forcing ⋮ Nonintegrability of forced nonlinear oscillators ⋮ Bifurcation of periodic orbits and chaos in Duffing equation ⋮ Obstructions to integrability of nearly integrable dynamical systems near regular level sets ⋮ Bifurcations of periodic orbits in three-well Duffing system with a phase shift ⋮ Complex dynamics in three-well Duffing system with two external forcings ⋮ Persistence of periodic and homoclinic orbits, first integrals and commutative vector fields in dynamical systems ⋮ Bifurcations and chaos in Duffing equation ⋮ Complex dynamics in Duffing system with two external forcings

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