Integrability and nonintegrability of dynamical systems / Alain Goriely.

This invaluable book examines qualitative and quantitative methods for nonlinear differential equations, as well as integrability and nonintegrability theory. Starting from the idea of a constant of motion for simple systems of differential equations, it investigates the essence of integrability, it...

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Bibliographic Details
Main Author: Goriely, Alain
Format: eBook
Language:English
Published: Singapore ; River Edge, NJ : World Scientific, ©2001.
Series:Advanced series in nonlinear dynamics ; v. 19.
Subjects:
Online Access:Click for online access
Description
Summary:This invaluable book examines qualitative and quantitative methods for nonlinear differential equations, as well as integrability and nonintegrability theory. Starting from the idea of a constant of motion for simple systems of differential equations, it investigates the essence of integrability, its geometrical relevance and dynamical consequences. Integrability theory is approached from different perspectives, first in terms of differential algebra, then in terms of complex time singularities and finally from the viewpoint of phase geometry (for both Hamiltonian and non-Hamiltonian systems).
Physical Description:1 online resource (xviii, 415 pages) : illustrations
Bibliography:Includes bibliographical references (pages 385-409) and index.
ISBN:9789812811943
981281194X
981023533X
9789810235338