Integrability and Nonintegrability of Dynamical Systems is popular PDF and ePub book, written by Alain Goriely in 2001, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Integrability and Nonintegrability of Dynamical Systems can be Read Online from any device for your convenience.
Integrability and Nonintegrability of Dynamical Systems Book PDF 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). 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. Contents: Integrability: An Algebraic Approach; Integrability: An Analytic Approach; Polynomial and Quasi-Polynomial Vector Fields; Nonintegrability; Hamiltonian Systems; Nearly Integrable Dynamical Systems; Open Problems. Readership: Mathematical and theoretical physicists and astronomers and engineers interested in dynamical systems.
Detail Book of Integrability and Nonintegrability of Dynamical Systems PDF
- Author : Alain Goriely
- Release : 30 September 2024
- Publisher : World Scientific
- ISBN : 981281194X
- Genre : Science
- Total Page : 438 pages
- Language : English
- PDF File Size : 7,7 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Integrability and Nonintegrability of Dynamical Systems by Alain Goriely, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.