On dynamical systems in metric spaces: Metrics as Liapunov functions

DOI10.1016/0362-546X(84)90097-XzbMath0552.54030OpenAlexW2077073831MaRDI QIDQ3345435

Barnabas M. Garay

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0362-546x(84)90097-x

zbMATH Keywords

asymptotical stabilityasymptotically stable closed invariant setremetrizationhyperbolic Lyapunov functionmetrics of Lyapunov typepairwise disjoint compact isolated invariant sets

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20)

Related Items (3)

Metrization and Liapunov functions. V ⋮ Some remarks on Garay's conjecture ⋮ A metric characterization of compact plane retracts and applications

Cites Work

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• Metrization and Liapunov functions. I
• Prolongations and stability in dynamical systems
• Isolated invariant sets in compact metric spaaces
• Lyapunov functions and isolating blocks
• Smoothing Derivatives of Functions and Applications
• Stability theory of dynamical systems.

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