Lyapunov functions and attractors in arbitrary metric spaces

DOI10.1090/S0002-9939-98-04500-6zbMath0891.58025MaRDI QIDQ4372750

Hurley, Mike

Publication date: 16 December 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Lyapunov functionattractorchain recurrence

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70)

Related Items

Semigroup actions under compactifications: a view from control systems ⋮ Morse decomposition of semiflows on topological spaces ⋮ Conley barriers and their applications: Chain-recurrence and Lyapunov functions ⋮ Smooth complete Lyapunov functions for ODEs ⋮ Extinction scenarios in evolutionary processes: a multinomial Wright-Fisher approach ⋮ Review on contraction analysis and computation of contraction metrics ⋮ Smooth complete Lyapunov functions for multifunctions ⋮ Computational Approach for Complete Lyapunov Functions ⋮ Smoothing Lyapunov functions ⋮ Lyapounov functions of closed cone fields: from Conley theory to time functions ⋮ Weak attractors from Lyapunov functions ⋮ Attractors for relations in \(\sigma\)-compact spaces ⋮ Computing complete Lyapunov functions for discrete-time dynamical systems ⋮ On the Evolution of Slow Dispersal in MultiSpecies Communities ⋮ Existence of complete Lyapunov functions with prescribed orbital derivative ⋮ On limit behavior of semigroup actions on noncompact spaces ⋮ Minimization with differential inequality constraints applied to complete Lyapunov functions ⋮ Conley's Fundamental Theorem for a Class of Hybrid Systems ⋮ Computation of Lyapunov functions for systems with multiple local attractors ⋮ Review on computational methods for Lyapunov functions

Cites Work

• Unnamed Item
• Chain recurrence, semiflows, and gradients
• Chain recurrence and attraction in non-compact spaces
• Noncompact Chain Recurrence and Attraction