1 / Mart / Golubitsky, David G. Schaeffer. - New
| 1 / Mart / Golubitsky, David G. Schaeffer. - New |
| Autore | Golubitsky, Martin A. |
| Pubbl/distr/stampa | k : Spri, : r, 1985., xvi |
| Descrizione fisica | 63 p. : ill. : 25 c |
| Altri autori (Persone) | Schaeffer, David G. |
| Soggetto topico |
34D05 - Asymptotic properties of solutions to ordinary differential equation [MSC 2020]
34D20 - Stability of solutions to ordinary differential equation [MSC 2020] 34D30 - Structural stability and analogous concepts of solutions to ordinary differential equation [MSC 2020] 35-XX - Partial differential equations [MSC 2020] 35B32 - Bifurcation in context of PDEs [MSC 2020] 35L67 - Shocks and singularities for hyperbolic equations [MSC 2020] 37Gxx - Local and nonlocal bifurcation theory for dynamical systems [MSC 2020] 57R45 - Singularities of differentiable mappings in differential topology [MSC 2020] 74M20 - Impact in solid mechanics [MSC 2020] 76Lxx - Shock waves and blast waves in fluid mechanics [MSC 2020] |
| Soggetto non controllato |
Area
Bifurcations Group theory Groups |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | This book has been written in a frankly partisian spirit-we believe that singularity theory offers an extremely useful approach to bifurcation prob lems and we hope to convert the reader to this view. In this preface we will discuss what we feel are the strengths of the singularity theory approach. This discussion then Ieads naturally into a discussion of the contents of the book and the prerequisites for reading it. Let us emphasize that our principal contribution in this area has been to apply pre-existing techniques from singularity theory, especially unfolding theory and classification theory, to bifurcation problems. Many ofthe ideas in this part of singularity theory were originally proposed by Rene Thom; the subject was then developed rigorously by John Matherand extended by V. I. Arnold. In applying this material to bifurcation problems, we were greatly encouraged by how weil the mathematical ideas of singularity theory meshed with the questions addressed by bifurcation theory. Concerning our title, Singularities and Groups in Bifurcation Theory, it should be mentioned that the present text is the first volume in a two-volume sequence. In this volume our emphasis is on singularity theory, with group theory playing a subordinate role. In Volume II the emphasis will be more balanced. Having made these remarks, Iet us set the context for the discussion of the strengths of the singularity theory approach to bifurcation. As we use the term, bifurcation theory is the study of equations with multiple solutions. |
| Record Nr. | UNICAMPANIA-VAN00268814 |
Golubitsky, Martin A.
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| k : Spri, : r, 1985., xvi | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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1: XVII, 463 p.
| 1: XVII, 463 p. |
| Autore | Golubitsky, Martin |
| Pubbl/distr/stampa | New York : Springer, 1985 |
| Descrizione fisica | v. 24 cm |
| Disciplina | 515.353 |
| Collana | Applied mathematical sciences |
| Soggetto non controllato | Singularities and groups in bifurcation theory |
| ISBN | 0-387-90999-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Record Nr. | UNINA-990000867720403321 |
Golubitsky, Martin
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| New York : Springer, 1985 | ||
| Lo trovi qui: Univ. Federico II | ||
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2 / Mart / Golubitsky, David G. Schaeffer. - New
| 2 / Mart / Golubitsky, David G. Schaeffer. - New |
| Autore | Golubitsky, Martin A. |
| Pubbl/distr/stampa | k : Spri, : r, 1988., xvi |
| Descrizione fisica | 6 p. : ill. : 25 c |
| Altri autori (Persone) | Schaeffer, David G. |
| Soggetto topico |
20C32 - Representations of infinite symmetric groups [MSC 2020]
34C25 - Periodic solutions to ordinary differential equation [MSC 2020] 35B32 - Bifurcation in context of PDEs [MSC 2020] 58-XX - Global analysis, analysis on manifolds [MSC 2020] 58C25 - Differentiable maps on manifolds [MSC 2020] 58Kxx - Theory of singularities and catastrophe theory [MSC 2020] |
| Soggetto non controllato |
Group actions
Group theory Invariant theory Irreducibility Lattices Partial Differential Equations |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Bifurcation theory studies how the structure of solutions to equations changes as parameters are varied. The nature of these changes depends both on the number of parameters and on the symmetries of the equations. Volume I discusses how singularity-theoretic techniques aid the understanding of transitions in multiparameter systems. This volume focuses on bifurcation problems with symmetry and shows how group-theoretic techniques aid the understanding of transitions in symmetric systems. Four broad topics are covered: group theory and steady-state bifurcation, equicariant singularity theory, Hopf bifurcation with symmetry, and mode interactions. The opening chapter provides an introduction to these subjects and motivates the study of systems with symmetry. Detailed case studies illustrate how group-theoretic methods can be used to analyze specific problems arising in applications. |
| Record Nr. | UNICAMPANIA-VAN00269111 |
Golubitsky, Martin A.
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| k : Spri, : r, 1988., xvi | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Ordinary differential equations : basics and beyond / David G. Schaeffer, John W. Cain
| Ordinary differential equations : basics and beyond / David G. Schaeffer, John W. Cain |
| Autore | Schaeffer, David G. |
| Edizione | [New York : Springer, 2016] |
| Pubbl/distr/stampa | XXX, 542 p., : ill. ; 24 cm |
| Descrizione fisica | Pubblicazione in formato elettronico |
| Altri autori (Persone) | Cain, John W. |
| Soggetto topico |
37-XX - Dynamical systems and ergodic theory [MSC 2020]
34-XX - Ordinary differential equations [MSC 2020] 00-XX - General and overarching topics; collections [MSC 2020] |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-SUN0115161 |
Schaeffer, David G.
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| XXX, 542 p., : ill. ; 24 cm | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Ordinary differential equations: basics and beyond / David G. Schaeffer, John W. Cain
| Ordinary differential equations: basics and beyond / David G. Schaeffer, John W. Cain |
| Autore | Schaeffer, David G. |
| Pubbl/distr/stampa | New York, : Springer, 2016 |
| Descrizione fisica | XXX, 542 p. : ill. ; 24 cm |
| Altri autori (Persone) | Cain, John W. |
| Soggetto topico |
37-XX - Dynamical systems and ergodic theory [MSC 2020]
34-XX - Ordinary differential equations [MSC 2020] 00-XX - General and overarching topics; collections [MSC 2020] |
| Soggetto non controllato |
Bifurcation theory
Dynamical Sysems Linear Systems Nonlinear Systems Ordinary differential equations |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0115161 |
Schaeffer, David G.
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| New York, : Springer, 2016 | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Ordinary differential equations: basics and beyond / David G. Schaeffer, John W. Cain
| Ordinary differential equations: basics and beyond / David G. Schaeffer, John W. Cain |
| Autore | Schaeffer, David G. |
| Pubbl/distr/stampa | New York, : Springer, 2016 |
| Descrizione fisica | XXX, 542 p. : ill. ; 24 cm |
| Altri autori (Persone) | Cain, John W. |
| Soggetto topico |
00-XX - General and overarching topics; collections [MSC 2020]
34-XX - Ordinary differential equations [MSC 2020] 37-XX - Dynamical systems and ergodic theory [MSC 2020] |
| Soggetto non controllato |
Bifurcation Theory
Dynamical Sysems Linear Systems Nonlinear Systems Ordinary differential equations |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00115161 |
Schaeffer, David G.
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| New York, : Springer, 2016 | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Singularities and Groups in Bifurcation Theory / Martin Golubitsky, Ian Stewart, David G. Schaeffer
| Singularities and Groups in Bifurcation Theory / Martin Golubitsky, Ian Stewart, David G. Schaeffer |
| Autore | Golubitsky, Martin |
| Pubbl/distr/stampa | New York : Springer-Verlag, 1988 |
| Disciplina | 512 |
| Collana | Applied mathematical sciences |
| Soggetto non controllato |
Teoria dei gruppi
Principi di simmetria |
| ISBN | 0-387-96652-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990001099300403321 |
Golubitsky, Martin
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| New York : Springer-Verlag, 1988 | ||
| Lo trovi qui: Univ. Federico II | ||
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Singularities and groups in bifurcation theory / (by) Martin Golubitsky, David G. Schaeffer, Ian Stewart
| Singularities and groups in bifurcation theory / (by) Martin Golubitsky, David G. Schaeffer, Ian Stewart |
| Autore | Golubitsky, Martin |
| Pubbl/distr/stampa | New York : Springer-Verlag, 1985-1988 |
| Descrizione fisica | 2 voll., ill., 24 cm |
| Disciplina | 515.3'53 |
| Collana | Applied mathematical sciences |
| ISBN | 0-387-90999-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Record Nr. | UNINA-990000377320403321 |
Golubitsky, Martin
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| New York : Springer-Verlag, 1985-1988 | ||
| Lo trovi qui: Univ. Federico II | ||
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Singularities and Groups in Bifurcation Theory / Martin Golubitsky, David G. Schaeffer
| Singularities and Groups in Bifurcation Theory / Martin Golubitsky, David G. Schaeffer |
| Autore | Golubitsky, Martin |
| Pubbl/distr/stampa | New York : Springer-Verlag, 1985 |
| Disciplina | 512 |
| Collana | Applied mathematical sciences |
| Soggetto non controllato |
Teoria dei gruppi
Principi di simmetria |
| ISBN | 0-387-90999-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990001103150403321 |
Golubitsky, Martin
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||
| New York : Springer-Verlag, 1985 | ||
| Lo trovi qui: Univ. Federico II | ||
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Singularities and groups in bifurcation theory / (by) Martin Golubitsky, David G. Schaeffer, Ian Stewart
| Singularities and groups in bifurcation theory / (by) Martin Golubitsky, David G. Schaeffer, Ian Stewart |
| Autore | Golubitsky, Martin |
| Pubbl/distr/stampa | New York : Springer Verlag, 1985-1988 |
| Descrizione fisica | 2 voll. ill. 24 cm |
| Disciplina | 515.3'53 |
| Collana | Applied mathematical sciences |
| ISBN | 0-387-90999-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Record Nr. | UNINA-990000367150403321 |
Golubitsky, Martin
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| New York : Springer Verlag, 1985-1988 | ||
| Lo trovi qui: Univ. Federico II | ||
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