Metrization and Liapunov functions. I

DOI10.1007/BF01956781zbMath0548.54028OpenAlexW4255798556MaRDI QIDQ799258

Barnabas M. Garay

Publication date: 1983

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01956781

zbMATH Keywords

retractionregion of attractionMorse-Smale flowsasymptotically stable closed invariant setcompact oriented surfacesmonotone Lyapunov function

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Entire and meromorphic functions of one complex variable, and related topics (30D99)

Related Items (4)

Metrization and Liapunov functions. V ⋮ On dynamical systems in metric spaces: Metrics as Liapunov functions ⋮ Metrization and Liapunov functions. II, III ⋮ A metric characterization of compact plane retracts and applications

Cites Work

• Structural stability on two-dimensional manifolds
• Lyapunov functions and isolating blocks
• Extending a metric
• Differential Topology
• Differentiable dynamical systems
• Global Structure of Ordinary Differential Equations in the Plane
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