Bifurcation Theory - Couverture souple

Homburg, Ale Jan ; Knobloch, Jurgen

Couverture souple

ISBN 10 : 1470478803 ISBN 13 : 9781470478803

Editeur : American Mathematical Society, 2025

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This textbook provides a thorough overview of bifurcation theory. Assuming some familiarity with differential equations and dynamical systems, it is suitable for use on advanced undergraduate and graduate level and can, in particular, be used for a graduate course on bifurcation theory. The book combines a solid theoretical basis with a detailed description of classical bifurcations. It is organized in chapters on local, nonlocal, and global bifurcations; a number of appendices develop the toolbox for the study of bifurcations. The discussed local bifurcations include saddle-node and Hopf bifurcations, as well as the more advanced Bogdanov-Takens and Neimark-Sacker bifurcations. The book also covers nonlocal bifurcations, discussing various homoclinic bifurcations, and it surveys global bifurcations and phenomena, such as intermittency and period-doubling cascades. The book develops a broad range of complementary techniques, both geometric and analytic, for studying bifurcations. Techniques include normal form methods, center manifold reductions, the Lyapunov-Schmidt construction, cross-coordinate constructions, Melnikov's method, and Lin's method. Full proofs of the results are provided, also for the material in the appendices. This includes proofs of the stable manifold theorem, of the center manifold theorem, and of Lin's method for studying homoclinic bifurcations.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

� propos de l'auteur

Ale Jan Homburg, University of Amsterdam, The Netherlands, and Leiden University, The Netherlands, and Jurgen Knobloch, Technical University Ilmenau, Germany

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: American Mathematical Society
Date d'�dition: 2025
Langue: anglais
ISBN 10: 1470478803
ISBN 13: 9781470478803
Reliure: Broch�
Nombre de pages: 646
Coordonn�es du fabricant: non disponible
Personne responsable: non disponible

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ISBN 10 : 1470478803 ISBN 13 : 9781470478803

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Homburg, Ale Jan (Author)/ Knobloch, Jurgen (Author)

Edit� par MPAMM American Mathematical, 2024

ISBN 10 : 1470478803 ISBN 13 : 9781470478803

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Paperback. Etat : Brand New. 646 pages. 10.00x7.00x1.06 inches. In Stock. N� de r�f. du vendeur __1470478803

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Bifurcation Theory

Ale Jan Homburg, Jurgen Knobloch

Edit� par American Mathematical Society, US, 2025

ISBN 10 : 1470478803 ISBN 13 : 9781470478803

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Vendeur : Rarewaves.com USA, London, LONDO, Royaume-Uni

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Paperback. Etat : New. This textbook provides a thorough overview of bifurcation theory. Assuming some familiarity with differential equations and dynamical systems, it is suitable for use on advanced undergraduate and graduate level and can, in particular, be used for a graduate course on bifurcation theory. The book combines a solid theoretical basis with a detailed description of classical bifurcations. It is organized in chapters on local, nonlocal, and global bifurcations; a number of appendices develop the toolbox for the study of bifurcations. The discussed local bifurcations include saddle-node and Hopf bifurcations, as well as the more advanced Bogdanov-Takens and Neimark-Sacker bifurcations. The book also covers nonlocal bifurcations, discussing various homoclinic bifurcations, and it surveys global bifurcations and phenomena, such as intermittency and period-doubling cascades. The book develops a broad range of complementary techniques, both geometric and analytic, for studying bifurcations. Techniques include normal form methods, center manifold reductions, the Lyapunov-Schmidt construction, cross-coordinate constructions, Melnikov's method, and Lin's method. Full proofs of the results are provided, also for the material in the appendices. This includes proofs of the stable manifold theorem, of the center manifold theorem, and of Lin's method for studying homoclinic bifurcations. N� de r�f. du vendeur LU-9781470478803

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Edit� par American Mathematical Society, Providence, 2025

ISBN 10 : 1470478803 ISBN 13 : 9781470478803

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Vendeur : Grand Eagle Retail, Bensenville, IL, Etats-Unis

�valuation du vendeur 5 sur 5 �toiles

Paperback. Etat : new. Paperback. This textbook provides a thorough overview of bifurcation theory. Assuming some familiarity with differential equations and dynamical systems, it is suitable for use on advanced undergraduate and graduate level and can, in particular, be used for a graduate course on bifurcation theory. The book combines a solid theoretical basis with a detailed description of classical bifurcations. It is organized in chapters on local, nonlocal, and global bifurcations; a number of appendices develop the toolbox for the study of bifurcations. The discussed local bifurcations include saddle-node and Hopf bifurcations, as well as the more advanced Bogdanov-Takens and Neimark-Sacker bifurcations. The book also covers nonlocal bifurcations, discussing various homoclinic bifurcations, and it surveys global bifurcations and phenomena, such as intermittency and period-doubling cascades. The book develops a broad range of complementary techniques, both geometric and analytic, for studying bifurcations. Techniques include normal form methods, center manifold reductions, the Lyapunov-Schmidt construction, cross-coordinate constructions, Melnikov's method, and Lin's method. Full proofs of the results are provided, also for the material in the appendices. This includes proofs of the stable manifold theorem, of the center manifold theorem, and of Lin's method for studying homoclinic bifurcations. Explore bifurcation theory with a rigorous treatment of classical and advanced phenomena. The text navigates local, nonlocal, and global bifurcations using geometric and analytic methodsnormal form reductions, center manifold techniques, and moresupported by full proofs to deepen understanding in dynamical systems. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N� de r�f. du vendeur 9781470478803

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