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＜電子ブック＞
Integrability of Dynamical Systems: Algebra and Analysis / by Xiang Zhang
(Developments in Mathematics. ISSN:2197795X ; 47)

版	1st ed. 2017.
出版者	(Singapore : Springer Nature Singapore : Imprint: Springer)
出版年	2017
大きさ	XV, 380 p. 6 illus., 1 illus. in color : online resource
著者標目	*Zhang, Xiang author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Nonlinear Optics FREE:Differential Equations FREE:Nonlinear Optics
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-981-10-4226-3

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