A criterion on compactness of the set of bounded solutions

DOI10.1016/J.CHAOS.2003.12.057zbMath1051.37009OpenAlexW1996143421MaRDI QIDQ1878277

Zhang Qi, Huang Tusen

Publication date: 19 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2003.12.057

zbMATH Keywords

ordinary differential equationsbounded solutionsnecessary and sufficient condition

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Growth and boundedness of solutions to ordinary differential equations (34C11) Dynamics induced by flows and semiflows (37C10) Index theory for dynamical systems, Morse-Conley indices (37B30)

Related Items (1)

Attractors in Relative Semi-Dynamical Systems

Cites Work

• Some properties of the isolated invariant set of a flow
• The \(\Omega\)-limit set and the limit set of subsets.
• On a conjecture of Conley
• Decompositions and Liapounov functions
• A criterion on compactness of the set of bounded orbits
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