Dynamics Beyond Uniform Hyperbolicity: A Global Geometric and Probabilistic Perspective: 102 (Encyclopaedia of Mathematical Sciences, 102)

by Christian Bonatti (Author), Marcelo Viana (Author), Marcelo Viana (Author), Christian Bonatti (Author), Lorenzo J. Díaz (Author)

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  Thus, m the space of states (phase space) is a subset M of an Euclidean space M . For continuous time systems, the evolution rule may be a differential eq- tion: to each state x G M one associates the speed and direction in which the system is going to evolve from that state.