Non-autonomous Morse-decomposition and Lyapunov functions for gradient-like processes

DOI10.1090/S0002-9947-2013-05810-2zbMath1291.37002OpenAlexW2086107745MaRDI QIDQ2847195

Eder R. Aragão-Costa, Tomás Caraballo Garrido, Alexandre Nolasco De Carvalho, José Antonio Langa

Publication date: 4 September 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-2013-05810-2

zbMATH Keywords

Lyapunov functions for non-autonomous dynamical systemsnon-autonomous Morse decompositionrobustness of dynamical structures

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Stability of topological dynamical systems (37B25) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Topological dynamics of nonautonomous systems (37B55) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)

Related Items

Strong Morse–Lyapunov functions for Morse decompositions of attractors of random dynamical systems, Lyapunov functions for dynamically gradient impulsive systems, Morse decompositions of topological cocycles, Morse decomposition for gradient-like multi-valued autonomous and nonautonomous dynamical systems, Impulsive non-autonomous dynamical systems and impulsive cocycle attractors, Structure of attractors for skew product semiflows, Upper and lower semicontinuity of impulsive cocycle attractors for impulsive nonautonomous systems, Robustness of dynamically gradient multivalued dynamical systems, Forward attraction of pullback attractors and synchronizing behavior of gradient-like systems with nonautonomous perturbations, Attractors for impulsive non-autonomous dynamical systems and their relations, Morse decompositions of uniform random attractors, Structure of non-autonomous attractors for a class of diffusively coupled ODE, Optimal energy decay rates for abstract second order evolution equations with non-autonomous damping, Non-autonomous dynamical systems, Continuity and topological structural stability for nonautonomous random attractors, Review on computational methods for Lyapunov functions

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