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

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aneurysm

n our understanding of Dy­ namical Systems during six years of the German Priority Research Program "Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems" . The program was funded by the Deutsche Forschungsgemeinschaft (DFG) and aimed at combining, focussing, and enhancing researc

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Random Attractors: Robustness, Numerics and Chaotic Dynamics,cussed. We give a condition under which the algorithm, which defines a set valued random dynamical system, possesses an attractor close to the attractor of the original system. Furthermore, a general existence theorem for attractors for set valued random dynamical systems is proved and criteria for

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Debility

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Dimension Theory of Smooth Dynamical Systems,bility 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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Acclaim

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Simulation and Numerical Analysis of Dendritic Growth,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

convulsion

Bifurcation Phenomena and Dynamo Effect in Electrically Conducting Fluids,ated by such dynamos. Their theory aims at modeling and understanding both the kinematic and dynamic aspects of the underlying processes. Kinematic dynamo models, in which for a prescribed flow the linear induction equation is solved and growth rates of the magnetic field are calculated, have been s