Singular perturbation with limit points in the fast dynamics

DOI10.1007/s000330050118zbMath0914.34059OpenAlexW2045945214MaRDI QIDQ1272431

Matthias Stiefenhofer

Publication date: 16 June 1999

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000330050118

zbMATH Keywords

periodic orbitssingular perturbationinvariant toribranchstationary pointstravelling wave problemBogdanov pointHopf or Naimark-Sacker bifurcation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (5)

Novel results for a class of singular perturbed slow-fast system ⋮ Double singularity-induced bifurcation points and singular Hopf bifurcations ⋮ Stability of singular Hopf bifurcations ⋮ Discrete geometric singular perturbation theory ⋮ Widely separated frequencies in coupled oscillators with energy-preserving quadratic nonlinearity

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