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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.  
k : Spri, : r, 1985., xvi
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
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  
New York : Springer, 1985
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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.  
k : Spri, : r, 1988., xvi
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
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.  
XXX, 542 p., : ill. ; 24 cm
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
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.  
New York, : Springer, 2016
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
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.  
New York, : Springer, 2016
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
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  
New York : Springer-Verlag, 1988
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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  
New York : Springer-Verlag, 1985-1988
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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  
New York : Springer-Verlag, 1985
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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  
New York : Springer Verlag, 1985-1988
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui