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Titlebook: Instabilities and Nonequilibrium Structures II; Dynamical Systems an Enrique Tirapegui,Danilo Villarroel Book 1989 Kluwer Academic Publishe

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Transport of Passive scalars: Kam Surfaces and Diffusion in Three-Dimensional Liouvillian MapsThe global aspects of the motion of passive scalars in time-dependent incompressible fluid flows are well described by volume-preserving (Liouvillian) three-dimensional maps. In this paper the possible invariant structures Liouvillian maps and the two most interesting nearly integrable cases are investigated in detail.
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Rigorous Results About Detailed Balance and Critical Slowing DownThe material of this lecture contains the following topics..The material is mainly based on the references [1–5]
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Vortex VariationsWe describe recent work on vortex mediated phase transitions in three dimensions, and on the relation of ultrasound scattering to two-point vorticity correlations.
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Periodically and Randomly Modulated Non Linear Processesnov exponent on the .-plane show unexpected features, like self-similarity and early chaos (i.e. chaos for very low parameter values). The latter constitutes a novel mechanism to induce chaotic behavior. The meaning of the Lyapunov exponent for random processes is examined.
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