Integrability and nonintegrability of dynamical systems / by Alain Goriely.

Format:

Book

Author/Creator:

Goriely, Alain.

Series:

Advanced series in nonlinear dynamics ; v. 19.

Advanced series in nonlinear dynamics ; v. 19

Language:

English

Subjects (All):

Differentiable dynamical systems.

Differential equations, Nonlinear.

Physical Description:

xviii, 415 pages : illustrations ; 23 cm.

Place of Publication:

Singapore ; River Edge, NJ : World Scientific, [2001]

Summary:

This book examines qualitative and quantitative methods for nonlinear differential equations and treats 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 its 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). The book reviews different ideas of nonintegrability and shows how to prove the nonexistence of exact solutions. c. Book News Inc.

Notes:

Includes bibliographical references (pages 385-409) and index.

ISBN:

981023533X

OCLC:

41925060