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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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书目名称Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems
编辑Bernold Fiedler
视频video
概述Presentation of very recent results in a major research area.Includes supplementary material:
图书封面Titlebook: Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems;  Bernold Fiedler Conference proceedings 2001 Springer-Verlag Berli
描述This book summarizes and highlights progress in 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 research efforts of active groups in the field by cooperation on a federal level. The surveys in the book are addressed to experts and non-experts in the mathematical community alike. In addition they intend to convey the significance of the results for applications far into the neighboring disciplines of Science. Three fundamental topics in Dynamical Systems are at the core of our research effort: behavior for large time dimension measure, and chaos Each of these topics is, of course, a highly complex problem area in itself and does not fit naturally into the deplorably traditional confines of any of the disciplines of ergodic theory, analysis, or numerical analysis alone. The necessity of mathematical cooperation between these three disciplines is quite obvious when facing the formidahle task of establishing a bidirectional transfer which bridges
出版日期Conference proceedings 2001
关键词algorithms; analysis; calculus; chaos; dimension; dynamical systems; efficient simulation; ergodic theory; i
版次1
doihttps://doi.org/10.1007/978-3-642-56589-2
isbn_softcover978-3-642-62524-4
isbn_ebook978-3-642-56589-2
copyrightSpringer-Verlag Berlin Heidelberg 2001
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Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems978-3-642-56589-2
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On Hybrid Methods for Bifurcation and Center Manifolds for General Operators, and post-processing back to the bifurcation scenarios in the original equation, is presented. A Г-equi-variant example in biological pattern formation is included. Finally a .. — program system with similarly general goals is indicated.
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Existence, Bifurcation, and Stability of Profiles for Classical and Non-Classical Shock Waves,dynamics. The numerical treatment confirms and details the analytical findings and, more notably, extends them considerably; in particular, it allows to study the existence / non-existence of profiles and the aforementioned heteroclinic bifurcation globally. Section 7 discusses the stability of visc
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