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

DOI10.1016/S0294-1449(97)80151-5zbMath0879.58056OpenAlexW2002777787MaRDI QIDQ1357501

Jaime Vera, Sergio Plaza

Publication date: 25 January 1998

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1997__14_1_119_0

zbMATH Keywords

structural stabilityspectral decompositionbifurcation sethyperbolic vector field

Mathematics Subject Classification ID

Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Local and nonlocal bifurcation theory for dynamical systems (37G99) Dynamical systems with hyperbolic behavior (37D99)

Cites Work

• Stability of parametrized families of gradient vector fields
• Bifurcations and global stability of families of gradients
• Bifurcations and stability of families of diffeomorphisms
• Global stability of saddle-node bifurcation of a periodic orbit for vector fields
• Structural stability of vector fields
• A structural stability theorem
• Normal forms for certain singularities of vectorfields
• Global stability of families of vector fields
• Differentiable dynamical systems
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