Locating omega-limit sets using height functions

DOI10.1016/j.jde.2009.11.012zbMath1196.34056OpenAlexW2055793377MaRDI QIDQ964989

Alessandro Arsie, Christian Ebenbauer

Publication date: 21 April 2010

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2009.11.012

zbMATH Keywords

Lyapunov functionHeight functionLimit set

Mathematics Subject Classification ID

Asymptotic properties of solutions to ordinary differential equations (34D05) Ordinary differential equations and systems on manifolds (34C40)

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Cites Work

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• Elementary structure of real algebraic varieties
• Persistence in models of three interacting predator-prey populations
• Global convergence of nonlinear cascade flows with Morse-Bott zero dynamics
• On an eigenflow equation and its Lie algebraic generalization
• Uniform persistence and flows near a closed positively invariant set
• Morse decomposition of semiflows on topological spaces
• Repelling conditions for boundary sets using Lyapunov-like functions. II: Persistence and periodic solutions
• Dynamical systems that sort lists, diagonalize matrices, and solve linear programming problems
• Invariance Principles for Hybrid Systems With Connections to Detectability and Asymptotic Stability
• Persistence in dynamical systems

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