Integrability of Dynamical Systems: Algebra and Analysis

Softcover Nachdruck of the original 1. Auflage 2017
ISBN: 978-981-13-5082-5
Verlag: Springer Nature Singapore

Buch, Englisch, Band 47, 380 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 598 g

Reihe: Developments in Mathematics

This is the first book to systematically state the fundamental theory of integrability and its development of ordinary differential equations with emphasis on the Darboux theory of integrability and local integrability together with their applications. It summarizes the classical results of Darboux integrability and its modern development together with their related Darboux polynomials and their applications in the reduction of Liouville and elementary integrabilty and in the center—focus problem, the weakened Hilbert 16th problem on algebraic limit cycles and the global dynamical analysis of some realistic models in fields such as physics, mechanics and biology.

Although it can be used as a textbook for graduate students in dynamical systems, it is intended as supplementary reading for graduate students from mathematics, physics, mechanics and engineering in courses related to the qualitative theory, bifurcation theory and the theory of integrability of dynamical systems.

Zielgruppe

Research

Autoren/Hrsg.

Zhang, Xiang

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Algebra

Inhaltsverzeichnis

The fundamentals of the theory of integrability of differential systems.- The fundamentals of the theory of integrability of differential systems.- The fundamentals of the theory of integrability of differential systems.- Existence and degree of Darboux polynomials.- Algebraic, analytic and meromorphic integrability.- Applications of the Darboux theory of integrability.- Local integrability of differential systems.- Index.

Über Autor(innen)

Xiang Zhang is a distinguished professor of Shanghai Jiao Tong University, China. He obtained his PhD degree in 1997 from Nanjing University, China.His main interest is in the field of qualitative theory, bifurcation theory and the theory of integrability of Ordinary Differential Equations and Dynamical Systems.