Attractors of nonlinear dynamical systems with a weakly monotone measure

DOI10.1016/J.JMAA.2014.08.046zbMath1346.37025OpenAlexW2073075164WikidataQ59888651 ScholiaQ59888651MaRDI QIDQ458344

Alexander Zuyev, Victoria Grushkovskaya

Publication date: 7 October 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.08.046

zbMATH Keywords

attractordensity functions

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Stability theory for smooth dynamical systems (37C75) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (1)

Lyapunov Density Criteria for Time-Varying and Periodically Time-Varying Nonlinear Systems with Converse Results

Cites Work

• Stability in the almost everywhere sense: a linear transfer operator approach
• On the stability and stabilization of quaternion equilibria of rigid bodies
• Almost global attraction in planar systems
• Density Functions for Navigation-Function-Based Systems
• On necessary conditions for almost global stability
• An Almost Global Notion of Input-to-State Stability
• A dual to Lyapunov's stability theorem
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