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Integrability of Dynamical Systems: Algebra and Analysis

Integrability of Dynamical Systems: Algebra and Analysis

Paperback

Series: Developments in Mathematics, Book 47

General MathematicsGeneral SciencePhysics

ISBN10: 9811350825
ISBN13: 9789811350825
Publisher: Springer
Published: Dec 9 2018
Pages: 380
Weight: 1.22
Height: 0.82 Width: 6.14 Depth: 9.21
Language: English

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.

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General Mathematics