Chaos And Integrability In Nonlinear Dynamics
Download Chaos And Integrability In Nonlinear Dynamics PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Chaos And Integrability In Nonlinear Dynamics book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
Chaos and Integrability in Nonlinear Dynamics
Presents the newer field of chaos in nonlinear dynamics as a natural extension of classical mechanics as treated by differential equations. Employs Hamiltonian systems as the link between classical and nonlinear dynamics, emphasizing the concept of integrability. Also discusses nonintegrable dynamics, the fundamental KAM theorem, integrable partial differential equations, and soliton dynamics.
Nonlinear Dynamics
Author: Muthusamy Lakshmanan
language: en
Publisher: Springer Science & Business Media
Release Date: 2002-11-12
This self-contained treatment covers all aspects of nonlinear dynamics, from fundamentals to recent developments, in a unified and comprehensive way. Numerous examples and exercises will help the student to assimilate and apply the techniques presented.
Nonlinear Dynamics
Author: Muthusamy Lakshmanan
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
Integrability, chaos and patterns are three of the most important concepts in nonlinear dynamics. These are covered in this book from fundamentals to recent developments. The book presents a self-contained treatment of the subject to suit the needs of students, teachers and researchers in physics, mathematics, engineering and applied sciences who wish to gain a broad knowledge of nonlinear dynamics. It describes fundamental concepts, theoretical procedures, experimental and numerical techniques and technological applications of nonlinear dynamics. Numerous examples and problems are included to facilitate the understanding of the concepts and procedures described. In addition to 16 chapters of main material, the book contains 10 appendices which present in-depth mathematical formulations involved in the analysis of various nonlinear systems.