Read Integrability and Nonintegrability of Dynamical Systems. Advances Series in Nonlinear Dynamics, Volume 19.

Integrability and Nonintegrability of Dynamical Systems. Advances Series in Nonlinear Dynamics, Volume 19.

Alain Goriely

4.9/5 (20343 ratings)

Description:This work 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Integrability and Nonintegrability of Dynamical Systems. Advances Series in Nonlinear Dynamics, Volume 19.. To get started finding Integrability and Nonintegrability of Dynamical Systems. Advances Series in Nonlinear Dynamics, Volume 19., you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

Pages: 415

Format: PDF, EPUB & Kindle Edition

Publisher: World Scientific Publishing Company

Release: 2010

ISBN: 1281960837

Description: This work 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Integrability and Nonintegrability of Dynamical Systems. Advances Series in Nonlinear Dynamics, Volume 19.. To get started finding Integrability and Nonintegrability of Dynamical Systems. Advances Series in Nonlinear Dynamics, Volume 19., you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

Special Offer | $0.00

Special Offer! | $0.00

Integrability and Nonintegrability of Dynamical Systems. Advances Series in Nonlinear Dynamics, Volume 19.

Integrability and Nonintegrability of Dynamical Systems. Advances Series in Nonlinear Dynamics, Volume 19.

More Books

Applied Mathematics: A Very Short Introduction

Applied Mathematics: A Very Short Introduction

The Mathematics and Mechanics of Biological Growth

The Mathematics and Mechanics of Biological Growth

Integrability and Nonintegrability of Dynamical Systems

Integrability and Nonintegrability of Dynamical Systems

The Mathematics and Mechanics of Biological Growth (Interdisciplinary Applied Mathematics Book 45)

The Mathematics and Mechanics of Biological Growth (Interdisciplinary Applied Mathematics Book 45)

New Trends in the Physics and Mechanics of Biological Systems: Lecture Notes of the Les Houches Summer School: Volume 92, July 2009

New Trends in the Physics and Mechanics of Biological Systems: Lecture Notes of the Les Houches Summer School: Volume 92, July 2009