The recurrence and the gradient-like structure of a flow

DOI10.1007/BF02896420zbMath1099.37015OpenAlexW2035731320MaRDI QIDQ2504118

Zuguo He, Xiaoxia Wang

Publication date: 22 September 2006

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02896420

zbMATH Keywords

nonwandering setchain recurrent setpartial order setgeneralized recurrent setgradient-like part

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (1)

Attractors of dynamical systems in locally compact spaces

Cites Work

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• Some properties of invariant sets of a flow
• Stability and bifurcation in a diffusive prey-predator system. Nonlinear bifurcation analysis.
• The gradient structure of a flow: I

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