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

Aspirin

Existence, Bifurcation, and Stability of Profiles for Classical and Non-Classical Shock Waves,ity. Particular attention is paid to the physical model of magnetohydrodynamics. The plan of the paper is as follows. Sections 1 and 2 introduce the classes of systems and the classes of shock waves we consider and recall how profiles for small-amplitude shocks are constructed via center manifold an

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Dynamical Systems of Population Dynamics,, 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

易发怒

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Three-Dimensional Steady Capillary-Gravity Waves,per 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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Aspects on Data Analysis and Visualization for Complicated Dynamical Systems,al 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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https://doi.org/10.1007/978-3-642-56589-2algorithms; analysis; calculus; chaos; dimension; dynamical systems; efficient simulation; ergodic theory; i

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https://doi.org/10.1007/978-981-16-6538-7cussed. 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

Enthralling

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https://doi.org/10.1007/978-94-011-2908-4ty for stationary problems. It applies to a general class of operator equations and general discretization methods. This allows an extension to numerical bifurcation studies, including Hopf bifurcation and center manifold results, for finite difference-, finite element- and spectral methods for gene