Symmetry and Perturbation Theory in Nonlinear Dynamics
Author:   Giampaolo Cicogna ,  Guiseppe Gaeta
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   1999 ed.
Volume:   57
ISBN:  

9783540659044


Pages:   212
Publication Date:   19 October 1999
Format:   Hardback
Availability:   Out of print, replaced by POD   Availability explained
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Symmetry and Perturbation Theory in Nonlinear Dynamics


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Overview

This book deals with the theory of Poincare--Birkhoff normal forms, studying symmetric systems in particular. Attention is focused on general Lie point symmetries, and not just on symmetries acting linearly. Some results on the simultaneous normalization of a vector field describing a dynamical system and vector fields describing its symmetry are presented and a perturbative approach is also used. Attention is given to the problem of convergence of the normalizing transformation in the presence of symmetry, with some other extensions of the theory. The results are discussed for the general case of dynamical systems and also for the specific Hamiltonian setting.

Full Product Details

Author:   Giampaolo Cicogna ,  Guiseppe Gaeta
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1999 ed.
Volume:   57
Dimensions:   Width: 15.50cm , Height: 1.40cm , Length: 23.50cm
Weight:   1.100kg
ISBN:  

9783540659044


ISBN 10:   3540659048
Pages:   212
Publication Date:   19 October 1999
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD   Availability explained
We will order this item for you from a manufatured on demand supplier.

Table of Contents

Symmetry and Differential Equations.- Dynamical Systems.- Symmetries of Dynamical Systems.- Normal Forms and Symmetries for Dynamical Systems.- Normal Forms and Symmetries for Hamiltonian Systems.- Convergence of the Normalizing Transformations.- Invariant Manifolds.- Further Normalization.- Asymptotic Symmetries.

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