INTRO TO NONAUTONOMOUS DYNAMICAL SYSTEMS & THEIR ATTRACTOR

INTRO TO NONAUTONOMOUS DYNAMICAL SYSTEMS & THEIR ATTRACTOR

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The nature of time in a nonautonomous dynamical system is very different from that in autonomous systems, which depend only on the time that has elapsed since starting rather than on the actual time itself. Consequently, limiting objects may not exist in actual time as in autonomous systems. New concepts of attractors in nonautonomous dynamical system are thus required. In addition, the definition of a dynamical system itself needs to be generalised to the nonautonomous context. Here two possibilities are considered: two-parameter semigroups or processes and the skew product flows. Their attra...