Stabilities in multi-valued dynamical systems

DOI10.1016/j.na.2006.06.057zbMath1121.37019OpenAlexW2022597583MaRDI QIDQ2373838

Jong-Suh Park, Dong Seung Kang, Hahng-Yun Chu

Publication date: 16 July 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.06.057

zbMATH Keywords

stabilityattractorsLyapunov stabilitylimit setsdisperse systemscharacteristic \(0^{+}\)

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35)

Related Items

Conley's theorem for dispersive systems

Cites Work

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• Eventual stability in general control systems
• Asymptotic invariance and limit sets of general control systems
• Set valued dynamical systems and economic flow
• Attractors for relations in \(\sigma\)-compact spaces
• Chain recurrence for multi-valued dynamical systems on noncompact spaces
• On dynamical properties of general dynamical systems and differential inclusions
• Stability in general control systems
• Dynamical systems of characteristic \(0^+\)
• A Lyapunov description of stability in control systems
• Topological dynamics of control systems: Stability and attraction
• Prolongations and stability analysis via lyapunov functions of dynamical polysystems
• Chain recurrence in dynamical systems without uniqueness
• Some remarks on set-valued dynamical systems
• On the attainable set at time T for multivalued differential equations
• Invariant Measures for Set-Valued Dynamical Systems
• On dynamical stability in general dynamical systems