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Titlebook: Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems; Bernold Fiedler Conference proceedings 2001 Springer-Verlag Berli

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https://doi.org/10.1007/978-981-15-0010-7bility can be described as some kind of hyperbolicity. Smooth Ergodic Theory investigates the metric and stochastic properties of measures invariant under differentiate mappings or flows on manifolds. The consideration of invariant measures allows to “tame” the “chaotic” behavior from a probabilisti
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Birthplace, Migration and Crimee need to describe the behavior of single trajectories in detail. This information is helpful for the analysis of transient behavior and also in the investigation of geometric properties of dynamical systems. On the other hand, if the underlying invariant set is generated by complicated dynamics the
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https://doi.org/10.1007/978-3-642-11297-3 biomolecular design. Both a first deterministic approach, based on the Frobenius-Perron operator corresponding to the flow of the Hamiltonian dynamics, and later stochastic approaches, based on a spatial Markov operator or on Langevin dynamics, can be subsumed under the unified mathematical roof of
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2 Models and Measures of Sexual Orientation,ance, since it appears frequently and, in the case of alloys, affects the engineering properties of the resulting solid..In the first part of this article we report on an analysis of spatially semi-discrete approximations to the Stefan problem for two-dimensional, pure dendrites. A priori error esti
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https://doi.org/10.1007/978-3-642-94410-9, centered around work within the DANSE project: Reaction transport equations which are refinements of reaction diffusion equations, showing travelling front solutions and pattern formation, with applications to chemotaxis and the formation of polarized groups of animals or cells. Populations struct
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https://doi.org/10.1007/978-3-663-16207-0ive Schwarzian derivative we give a classification of the possible metric attractors and show that either . has an ergodic absolutely continuous invariant probability measure of positive entropy or the iterates of typical points spend most of their time shadowing the trajectory of one of the two cri
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Jing Zhang,Yuejing Wang,Joshua M. O. Zideper free surface is considered. The existence of these waves is derived through bifurcation processes from the state of rest. The waves are assumed to be periodic in the direction of propagation and just bounded in the transverse direction (modulated periodic travelling waves — MPTW). Restricting th
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https://doi.org/10.1007/978-3-030-16718-9al systems. In this note we will present several ways for an effective post processing of fluid flows and flows on invariant manifolds of dynamical systems. Feature extraction techniques will be present which reduce the informational content of large timedependent data sets to its mainly intersestin
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