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Analytic Theory of Global Bifurcation: An Introduction
Boris Buffoni
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Description for Analytic Theory of Global Bifurcation: An Introduction
Hardback. Aims to develop from first principles Dancer's global bifurcation theory for one-parameter families of real-analytic operators in Banach spaces. This book shows that there are globally defined continuous and locally real-analytic curves of solutions. Series: Princeton Series in Applied Mathematics. Num Pages: 184 pages, 5 line illus. BIC Classification: PBKJ; PBPH. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152 x 19. Weight in Grams: 399.
Rabinowitz's classical global bifurcation theory, which concerns the study in-the-large of parameter-dependent families of nonlinear equations, uses topological methods that address the problem of continuous parameter dependence of solutions by showing that there are connected sets of solutions of global extent. Even when the operators are infinitely differentiable in all the variables and parameters, connectedness here cannot in general be replaced by path-connectedness. However, in the context of real-analyticity there is an alternative theory of global bifurcation due to Dancer, which offers a much stronger notion of parameter dependence. This book aims to develop from first principles Dancer's global bifurcation ... Read more
Rabinowitz's classical global bifurcation theory, which concerns the study in-the-large of parameter-dependent families of nonlinear equations, uses topological methods that address the problem of continuous parameter dependence of solutions by showing that there are connected sets of solutions of global extent. Even when the operators are infinitely differentiable in all the variables and parameters, connectedness here cannot in general be replaced by path-connectedness. However, in the context of real-analyticity there is an alternative theory of global bifurcation due to Dancer, which offers a much stronger notion of parameter dependence. This book aims to develop from first principles Dancer's global bifurcation ... Read more
Product Details
Format
Hardback
Publication date
2003
Publisher
Princeton University Press United States
Number of pages
184
Condition
New
Series
Princeton Series in Applied Mathematics
Number of Pages
184
Place of Publication
New Jersey, United States
ISBN
9780691112985
SKU
V9780691112985
Shipping Time
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Ref
99-1
About Boris Buffoni
Boris Buffoni holds a Swiss National Science Foundation Professorship in Mathematics at the Swiss Federal Institute of Technology-Lausanne. John Toland is Professor of Mathematical Sciences at the University of Bath and a Senior Research Fellow of the UK's Engineering and Physical Sciences Research Council
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