A generalized Padé-Lindstedt-Poincaré method for predicting homoclinic and heteroclinic bifurcations of strongly nonlinear autonomous oscillators

DOI10.1007/S11071-015-2563-6zbMath1354.34079OpenAlexW2229040072MaRDI QIDQ333019

Zhen-Bo Li, Jia-Shi Tang

Publication date: 9 November 2016

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-015-2563-6

zbMATH Keywords

homoclinic bifurcationheteroclinic bifurcation\(\Phi^{6}\)-Van der Pol oscillatorgeneralized Padé approximationHelmholtz-Duffing oscillator

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (1)

Constructing explicit homoclinic solution of oscillators: an improvement for perturbation procedure based on nonlinear time transformation

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