Subharmonic bifurcations near infinity

DOI10.1007/BF02972684zbMath1142.34337OpenAlexW2065776235MaRDI QIDQ2457731

Marcelo Messias

Publication date: 23 October 2007

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02972684

zbMATH Keywords

polynomial systemsperiodic perturbationsSubharmonic bifurcations

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Perturbations of ordinary differential equations (34D10)

Cites Work

• Periodic solutions of a forced Lotka-Volterra equation
• An example of bifurcation to homoclinic orbits
• Hilbert's 16th problem for quadratic vector fields
• Stability of certain planar unbounded polycycles
• A survey of quadratic systems
• Bifurcations of Nonlinear Oscillations and Frequency Entrainment Near Resonance
• Interaction of damping and forcing in a second order equation
• Periodic perturbations of quadratic planar polynomial vector fields
• Ordinary Differential Equations with Applications
• Finiteness for critical periods of planar analytic vector fields
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