9789810238285 - methods in equivariant bifurcations and dynamical systems: 15 (advanced series in nonlinear dynamics) de chossat, pascal; lauterbach, reiner (14 resultados)
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Hardback. Condición: New. This invaluable book presents a comprehensive introduction to bifurcation theory in the presence of symmetry, an applied mathematical topic which has developed considerably over the past twenty years and has been very successful in analysing and predicting pattern formation and other critical phenomena…in most areas of science where nonlinear models are involved, like fluid flow instabilities, chemical waves, elasticity and population dynamics.The book has two aims. One is to expound the mathematical methods of equivariant bifurcation theory. Beyond the classical bifurcation tools, such as center manifold and normal form reductions, the presence of symmetry requires the introduction of the algebraic and geometric formalism of Lie group theory and transformation group methods. For the first time, all these methods in equivariant bifurcations are presented in a coherent and self-consistent way in a book.The other aim is to present the most recent ideas and results in this theory, in relation to applications. This includes bifurcations of relative equilibria and relative periodic orbits for compact and noncompact group actions, heteroclinic cycles and forced symmetry-breaking perturbations. Although not all recent contributions could be included and a choice had to be made, a rather complete description of these new developments is provided. At the end of every chapter, exercises are offered to the reader.
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Gebunden. Condición: New. InhaltsverzeichnisSymmetries in ODEs and PDEs equivariant bifurcations, a first look invariant manifolds and normal forms linear Lie group actions the equivariant structure of bifurcation equations reduction techniques for equivaria.
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Condición: Gut. Zustand: Gut | Seiten: 420 | Sprache: Englisch | Produktart: Bücher | This invaluable book presents the state-of-the-art in equivariant bifurcation and dynamical systems theory, with a special emphasis on the computational aspects, PDE's and applications. This theory provides powerful tools for the analysis of sp…ontaneous symmetry-breaking phenomena, in space as well as in time. Examples of applications from various areas of science are provided and analyzed.
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Hardback. Condición: New. This invaluable book presents a comprehensive introduction to bifurcation theory in the presence of symmetry, an applied mathematical topic which has developed considerably over the past twenty years and has been very successful in analysing and predicting pattern formation and other critical phenomena…in most areas of science where nonlinear models are involved, like fluid flow instabilities, chemical waves, elasticity and population dynamics.The book has two aims. One is to expound the mathematical methods of equivariant bifurcation theory. Beyond the classical bifurcation tools, such as center manifold and normal form reductions, the presence of symmetry requires the introduction of the algebraic and geometric formalism of Lie group theory and transformation group methods. For the first time, all these methods in equivariant bifurcations are presented in a coherent and self-consistent way in a book.The other aim is to present the most recent ideas and results in this theory, in relation to applications. This includes bifurcations of relative equilibria and relative periodic orbits for compact and noncompact group actions, heteroclinic cycles and forced symmetry-breaking perturbations. Although not all recent contributions could be included and a choice had to be made, a rather complete description of these new developments is provided. At the end of every chapter, exercises are offered to the reader.
Idioma: Inglés
Editorial: World Scientific Publishing Company Mär 2000 2000
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Librería: AHA-BUCH GmbH, Einbeck, AlemaniaAHA-BUCH GmbH
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Buch. Condición: Neu. Neuware - This invaluable book presents the state-of-the-art in equivariant bifurcation and dynamical systems theory, with a special emphasis on the computational aspects, PDE's and applications. This theory provides powerful tools for the analysis of spontaneous symmetry-breaking phenomena, in space as wel…l as in time. Examples of applications from various areas of science are provided and analyzed.
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Librería: BUCHSERVICE / ANTIQUARIAT Lars Lutzer, Wahlstedt, AlemaniaBUCHSERVICE / ANTIQUARIAT Lars Lutzer
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Hardcover. Condición: gut. 2000. Methods in Equivariant Bifurcations and Dynamical Systems In deutscher Sprache. pages.
