Periodic perturbation of planar systems with a semistable limit cycle

DOI10.1007/BF02882456zbMath0890.34028OpenAlexW2016076265MaRDI QIDQ1370172

Mao'an Han

Publication date: 14 July 1998

Published in: Chinese Science Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02882456

zbMATH Keywords

invariant manifoldsaveraging methodinvariant torisubharmonic solutionssemistable limit cycleMelnikov technique

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Perturbations of ordinary differential equations (34D10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Averaging method for ordinary differential equations (34C29) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items

Bifurcations of subharmonic solutions in periodic perturbation of a hyperbolic limit cycle.

Cites Work

• Bifurcations of invariant tori and subharmonic solutions for periodic perturbed systems
• Bifurcation theory of invariant tori of planar periodic perturbed systems
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