Integrability And Nonintegrability Of Dynamical Systems Hardback
by Alain (Univ Of Oxford, Uk) Goriely
Part of the Advanced Series in Nonlinear Dynamics series
Hardback
Description
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).
As generic systems of differential equations cannot be exactly solved, the book reviews the different notions of nonintegrability and shows how to prove the nonexistence of exact solutions and/or a constant of motion.
Finally, nonintegrability theory is linked to dynamical systems theory by showing how the property of complete integrability, partial integrability or nonintegrability can be related to regular and irregular dynamics in phase space.
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Hardback
- Pages:436 pages
- Publisher:World Scientific Publishing Co Pte Ltd
- Publication Date:30/08/2001
- Category:
- ISBN:9789810235338
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Hardback
- Pages:436 pages
- Publisher:World Scientific Publishing Co Pte Ltd
- Publication Date:30/08/2001
- Category:
- ISBN:9789810235338
