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Nonautonomous Dynamical Systems in the Life Sciences | Peter Kloeden | Springer

Full text not available from this repository. Abstract We describe a mathematical formalism and numerical algorithms for identifying and tracking slowly mixing objects in nonautonomous dynamical systems.

Morse decomposition for gradient-like multi-valued autonomous and nonautonomous dynamical systems

DS, math. Author Publisher.


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Thanks for collaboration concerning the material of this talk are due to R. Fabbri, M. Franca, S.

Nonautonomous Dynamical Systems

Novo, C. Nunez, L.

Zampogni and many other colleagues. Our goal is to provide an approach to the corresponding geometric theory of nonautonomous discrete dynamical systems in infinite-dimensional spaces by virtue of 2-parameter semigroups processes.

Non-autonomous system (mathematics)

These dynamical systems are generated by implicit difference equations, which explicitly depend on time. Compactness and dissipativity conditions are provided for such problems in order to have attractors using the natural concept of pullback convergence.

[Week 6-1] Stability of nonautonomous systems

Concerning a necessary linear theory, our hyperbolicity concept is based on exponential dichotomies and splittings. This concept is in turn used to construct nonautonomous invariant manifolds, so-called fiber bundles, and deduce linearization theorems. The results are illustrated using temporal and full discretizations of evolutionary differential equations.