Stable equilibria and vector field index

DOI10.1016/0166-8641(93)90113-RzbMath0777.58032MaRDI QIDQ1803751

Dieter Erle

Publication date: 29 June 1993

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

stable equilibriumvector field index

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Degree, winding number (55M25) Stability of solutions to ordinary differential equations (34D20) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items

Planar isolated and stable fixed points have index =1, The index of Lyapunov stable fixed points in two dimensions, Indices of the iterates of \(\mathbb R^3\)-homeomorphisms at Lyapunov stable fixed points, Realization of all Dold's congruences with stability, On bounded vector fields, The index of stable critical points

Cites Work

• Der Abbildungsgrad von Vektorfeldern zu stabilen Ruhelagen. (The topological degree of vector fields of stable equilibrium)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item