The isolated invariant sets of a flow

DOI10.1016/S0960-0779(99)00199-XzbMath1090.37506OpenAlexW2012131176MaRDI QIDQ1868523

Zuo-huan Zheng

Publication date: 28 April 2003

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(99)00199-x

Mathematics Subject Classification ID

Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35)

Related Items (3)

Some properties of the isolated invariant set of a flow ⋮ Some properties of attractors and quasi-attractors ⋮ Ideal systems and connecting orbits

Cites Work

• The existence of trajectories joining critical points
• The Birkhoff-Lewis fixed point theorem and a conjecture of V.I. Arnold
• Uniform persistence and chain recurrence
• Uniform asymptotic stability via the limiting equations
• A Topological Method for Bounded Solutions of Nonautonomous Ordinary Differential Equations
• Asymptotically Autonomous Semiflows: Chain Recurrence and Lyapunov Functions
• Isolated Invariant Sets and Isolating Blocks
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