Subharmonic bifurcations in a perturbed nonlinear oscillation

DOI10.1016/j.na.2005.01.095zbMath1083.34033OpenAlexW2060167393MaRDI QIDQ1780783

Zhirong He, Wei Nian Zhang

Publication date: 13 June 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.01.095

zbMATH Keywords

Lyapunov-Schmidt reductionperiodic orbithomoclinic orbitsubharmonic bifurcationbifurcation manifold

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items

Homoclinic finger-rings in \(\mathbb{R}^N\), Conditions for polynomial Liénard centers, Linearly independent homoclinic bifurcations parameterized by a small function

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• An example of bifurcation to homoclinic orbits
• Bifurcation of homoclinics in a nonlinear oscillation
• Perturbation of homoclinics and subharmonics in duffing's equation
• Interaction of damping and forcing in a second order equation
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