Generic bifurcations of second order ordinary differential equations near closed orbits

DOI10.1016/0022-0396(80)90091-1zbMath0448.58013OpenAlexW2117122086MaRDI QIDQ1146915

Milan Medved'

Publication date: 1980

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(80)90091-1

zbMATH Keywords

closed orbitPoincare mappinggeneric bifurcations of one parameter families of second order ordinary differential equations on n-dimensional compact manifolds

Mathematics Subject Classification ID

Ordinary differential equations and systems on manifolds (34C40) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (1)

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Cites Work

• Singularities of vector fields on the plane
• Generic one-parameter families of vector fields on two-dimensional manifolds
• On an approximation theorem of Kupka and Smale
• Bounds for periodic solutions of differential equations in Banach spaces
• Generic properties of parametrized vectorfields. I
• Generic properties of parametrized vectorfields. II
• Differentiable dynamical systems
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