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Integrability of dynamical systems =...

Zhang, Xiang.

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Integrability of dynamical systems = algebra and analysis /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Integrability of dynamical systems/ by Xiang Zhang.
其他題名:	algebra and analysis /
作者:	Zhang, Xiang.
出版者:	Singapore :Springer Singapore : : 2017.,
面頁冊數:	xv, 380 p. :ill. (some col.), digital ;24 cm.
內容註:	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.
Contained By:	Springer eBooks
標題:	Differentiable dynamical systems. -
電子資源:	http://dx.doi.org/10.1007/978-981-10-4226-3
ISBN:	9789811042263

Integrability of dynamical systems = algebra and analysis /
Zhang, Xiang.

Integrability of dynamical systemsalgebra and analysis /[electronic resource] :by Xiang Zhang. - Singapore :Springer Singapore :2017. - xv, 380 p. :ill. (some col.), digital ;24 cm. - Developments in mathematics,v.471389-2177 ;. - Developments in mathematics ;v.47..

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.

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.

ISBN: 9789811042263

Standard No.: 10.1007/978-981-10-4226-3doiSubjects--Topical Terms:

524351
Differentiable dynamical systems.

LC Class. No.: QA614.8

Dewey Class. No.: 515.39

Integrability of dynamical systems = algebra and analysis /
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520 $a 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.
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