Global stability of saddle-node bifurcation of a periodic orbit for vector fields

DOI10.5802/AFST.787zbMath0831.58036OpenAlexW2316662119MaRDI QIDQ1894802

Sergio Plaza S.

Publication date: 6 September 1995

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1994_6_3_3_411_0

zbMATH Keywords

stabilitybifurcationsmodulus of stabilityone-parameter families of vector fieldssaddle-node periodic orbit

Mathematics Subject Classification ID

Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (2)

Bifurcation and stability of families of hyperbolic vector fields in dimension three ⋮ Stability of hyperbolic vector fields

Cites Work

• Stability of parametrized families of gradient vector fields
• Bifurcations and stability of families of diffeomorphisms
• Spiralling invariant manifolds
• Global phenomena in bifurcations of dynamical systems with simple recurrence
• Normal forms for certain singularities of vectorfields
• Stability of Morse-Smale vector fields on manifolds with boundary
• Invariant manifolds
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