Local bifurcations, center manifolds, and normal forms in infinite-dimensional dynamical systems
著者
書誌事項
Local bifurcations, center manifolds, and normal forms in infinite-dimensional dynamical systems
（Universitext）
Springer , EDP Sciences, c2011
- : pbk., Springer
- : pbk., EDP Sciences
大学図書館所蔵 件 / 全32件
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: pbk., SpringerHARA/16.7/1033212010005205,
: pbk., EDP Sciences413.6/H 32031212011000708 -
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注記
Includes bibliographical references (p. 321-326) and index
内容説明・目次
内容説明
An extension of different lectures given by the authors, Local Bifurcations, Center Manifolds, and Normal Forms in Infinite Dimensional Dynamical Systems provides the reader with a comprehensive overview of these topics.
Starting with the simplest bifurcation problems arising for ordinary differential equations in one- and two-dimensions, this book describes several tools from the theory of infinite dimensional dynamical systems, allowing the reader to treat more complicated bifurcation problems, such as bifurcations arising in partial differential equations. Attention is restricted to the study of local bifurcations with a focus upon the center manifold reduction and the normal form theory; two methods that have been widely used during the last decades.
Through use of step-by-step examples and exercises, a number of possible applications are illustrated, and allow the less familiar reader to use this reduction method by checking some clear assumptions. Written by recognised experts in the field of center manifold and normal form theory this book provides a much-needed graduate level text on bifurcation theory, center manifolds and normal form theory. It will appeal to graduate students and researchers working in dynamical system theory.
目次
Elementary Bifurcations.- Center Manifolds.- Normal Forms.- Reversible Bifurcations.- Applications.- Appendix.
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