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Titlebook: Bifurcation Theory; An Introduction with Hansjörg Kielhöfer Textbook 20041st edition Springer-Verlag New York 2004 Vibration.bifurcation.bi

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期刊全称Bifurcation Theory
期刊简称An Introduction with
影响因子2023Hansjörg Kielhöfer
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学科分类Applied Mathematical Sciences
图书封面Titlebook: Bifurcation Theory; An Introduction with Hansjörg Kielhöfer Textbook 20041st edition Springer-Verlag New York 2004 Vibration.bifurcation.bi
影响因子In the past three decades, bifurcation theory has matured into a well-established and vibrant branch of mathematics. This book gives a unified presentation in an abstract setting of the main theorems in bifurcation theory, as well as more recent and lesser known results. It covers both the local and global theory of one-parameter bifurcations for operators acting in infinite-dimensional Banach spaces, and shows how to apply the theory to problems involving partial differential equations. In addition to existence, qualitative properties such as stability and nodal structure of bifurcating solutions are treated in depth. This volume will serve as an important reference for mathematicians, physicists, and theoretically-inclined engineers working in bifurcation theory and its applications to partial differential equations.
Pindex Textbook 20041st edition
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Bifurcation Theory978-0-387-21633-1Series ISSN 0066-5452 Series E-ISSN 2196-968X
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Resource Use with Physical Harvest Costsing of the Euler rod, the appearance of Taylor vortices, and the onset of oscillations in an electric circuit, for instance, all have a common cause: A specific physical parameter crosses a threshold, and that event forces the system to the organization of a new state that differs considerably from that observed before.
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Introduction,ing of the Euler rod, the appearance of Taylor vortices, and the onset of oscillations in an electric circuit, for instance, all have a common cause: A specific physical parameter crosses a threshold, and that event forces the system to the organization of a new state that differs considerably from that observed before.
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Applications,that property, but we have infinite-dimensional applications in mind. A prototype of a Fredholm operator, playing also a central role in applications, is an elliptic operator over a bounded domain. We confine ourselves to operators of second order acting on scalar functions.
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Resource Use with Physical Harvest Costsing of the Euler rod, the appearance of Taylor vortices, and the onset of oscillations in an electric circuit, for instance, all have a common cause: A specific physical parameter crosses a threshold, and that event forces the system to the organization of a new state that differs considerably from
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