1.

Record Nr.

UNINA9910454067103321

Titolo

Symmetry and Perturbation Theory [[electronic resource] ] : proceedings of the international conference SPT 2001, Cala Gonone, Sardinia, Italy, 6-13 May 2001 / / edited by Dario Bambusi, Giuseppe Gaeta, Mariano Cadoni

Pubbl/distr/stampa

River Edge, New Jersey, : World Scientific, c2001

ISBN

1-281-93448-8

9786611934484

981-279-454-9

Descrizione fisica

1 online resource (260 p.)

Altri autori (Persone)

BambusiDario

GaetaGiuseppe <1959->

CadoniMariano

Disciplina

515.35

539.7/25

539.725

Soggetti

Symmetry (Physics)

Perturbation (Mathematics)

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

CONTENTS               ; Preface              ; Acknowledgements                       ; Geometry and Dynamics of Hyperelliptically Separable Systems                                                                   ; References                 ; Multiple Hopf Bifurcation in Problems with O(2) Symmetry: Kuramoto-Sivashinky Equation; Abstract               ; 1 Introduction                     ; 2 Analysis of the Problem                                ; 3 Application of the Method to the Kuramoto Sivashinsky Equation

References                 Sternberg-Chen Theorem for Equivariant Hamiltonian Vector Fields                                                                       ; Introduction                   ; 1 Definitions                    ; 2 Main result                    ; 3 Deformation method                           ; 4 B-equivariant conjugacy; References                 ; A Functional Analysis Approach to Arnold Diffusion                                                         ; References

The Symplectic Evans Matrix and Solitary Wave Instability                                                                



References                 ; Classical Symmetries for a Boussinesq Equation with Nonlinear Dispersion                                                                               ; 1 Introduction                     ; 2 Lie Symmetries                       ; 3 Optimal system and symmetry reductions                                               ; 4 Travelling wave solutions                                  ; 5 Conclusions                    ; References

Pseudo-Normal Forms and their Applications                                                 Introduction and Main Results                                    ; References                 ; Periodic Orbits of Langmuir's Atom                                         ; Heteroclinic Cycles and Wreath Product Symmetries                                                        ; References                 ; Linearizing Resonant Normal Forms                                        ; Introduction                   ; 1 Normal forms

2 Map to a linear system                               3 Integration of normal forms                                    ; References                 ; Symmetry Analysis and Reductions of the Schwarz-Korteweg-De Vries Equation in (2 + 1) Dimensions; 1 Introduction                     ; 2 Lie symmetries                       ; 3 Optimal systems and reductions                                       ; 4 Invariance analysis of the (1 + 1)-dimensional systems; 5 Some explicit solutions                                ; 6 Conclusions                    ; References

Tori Breakdown in Coupled Map Lattices

Sommario/riassunto

The third conference on "Symmetry and Perturbation Theory" (SPT2001) was attended by over 50 mathematicians, physicists and chemists. The proceedings present the advancement of research in this field - more precisely, in the different fields at whose crossroads symmetry and perturbation theory sit. <br><i>Contents:</i><ul><li>Geometry and Dynamics of Hyperelliptically Separable Systems <i>(S Abenda)</i></li><li>A Functional Analysis Approach to Arnold Diffusion <i>(M Berti)</i></li><li>Linearizing Resonant Normal Forms <i>(G Gaeta)</i></li><li>Tori Breakdown in Coupled Map Lattices <i>(C Gibe