Bifurcation of homoclinics in a nonlinear oscillation

DOI10.1007/BF02107670zbMath0691.34031OpenAlexW519589MaRDI QIDQ3032614

Wei Nian Zhang

Publication date: 1989

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02107670

zbMATH Keywords

small parameterssecond order differential equationbifurcation of homoclinics

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (5)

Homoclinic finger-rings in \(\mathbb{R}^N\) ⋮ Families of bounded solutions near perturbed homoclinics of R.D.E.s with symmetric eigenvalues, application to retarded power-law oscillations ⋮ Chaotic oscillation of a nonlinear power system ⋮ Subharmonic bifurcations in a perturbed nonlinear oscillation ⋮ Linearly independent homoclinic bifurcations parameterized by a small function

Cites Work

• Unnamed Item
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• An example of bifurcation to homoclinic orbits
• Perturbation of homoclinics and subharmonics in duffing's equation

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