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• W2086107745 abstract "We define (time dependent) Morse-decompositions for non-autonomous evolution processes (non-autonomous dynamical systems) and prove that a non-autonomous gradient-like evolution process possesses a Morse-decomposition on the associated pullback attractor. We also prove the existence of an associated Lyapunov function which describes the gradient behavior of the system. Finally, we apply these abstract results to non-autonomous perturbations of autonomous gradient-like evolution processes (semigroups or autonomous dynamical systems)." @default.
• W2086107745 created "2016-06-24" @default.
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• W2086107745 date "2013-04-01" @default.
• W2086107745 modified "2023-10-03" @default.
• W2086107745 title "Non-autonomous Morse-decomposition and Lyapunov functions for gradient-like processes" @default.
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• W2086107745 doi "https://doi.org/10.1090/s0002-9947-2013-05810-2" @default.
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