The index and the asymptotic stability of fixed points in two dimensions: A counterexample

DOI10.1016/S0362-546X(97)00520-8zbMath0944.47038OpenAlexW2084826127WikidataQ124863067 ScholiaQ124863067MaRDI QIDQ4266394

Jose Miguel-Alonso, Juan Campos

Publication date: 29 March 2000

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00520-8

zbMATH Keywords

topological degreesmoothnessasymptotically stableisolated fixed pointorientation preserving, area-contracting homeomorphism

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Degree theory for nonlinear operators (47H11) Stability of solutions to ordinary differential equations (34D20)

Related Items (1)

The effect of inversely unstable solutions on the attractor of the forced pendulum equation with friction

Cites Work

• Upper and lower stability and index theory for positive mappings and applications
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The index and the asymptotic stability of fixed points in two dimensions: A counterexample