On limiting properties of Lyapunov asymptotically stable and Zhukovsky asymptotically rigid trajectories of a dynamic system

DOI10.1134/S1028335806070081zbMath1255.34051OpenAlexW2014803609MaRDI QIDQ1956679

A. A. Shestakov, O. V. Druzhinina

Publication date: 23 September 2010

Published in: Doklady Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1028335806070081

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Stability of solutions to ordinary differential equations (34D20) Dynamical systems in classical and celestial mechanics (37N05) Asymptotic properties of solutions to ordinary differential equations (34D05)

Cites Work

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• The asymptotic rigidity of a compact invariant set of a dynamic system stable in the Poisson sense
• Necessary conditions for a limit cycle and its basin of attraction.
• Lyapunov asymptotic stability and Zhukovskij asymptotic stability
• Local instability and localization of attractors. From stochastic generator to Chua's systems