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.
- ISBN13 9789811350825
- Publish Date 9 December 2018 (first published 6 April 2017)
- Publish Status Active
- Publish Country SG
- Imprint Springer Verlag, Singapore
- Edition Softcover reprint of the original 1st ed. 2017
- Format Paperback
- Pages 380
- Language English