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Integrability of dynamical systems : algebra and analysis
- 作者： Zhang, Xiang, author.
- 其他作者：
- 其他題名：
- Developments in mathematics ;
- 出版： Singapore : Springer Singapore :Imprint: Springer
- 叢書名： Developments in mathematics,volume 47
- 主題： Differentiable dynamical systems. , Mathematics. , Ordinary Differential Equations. , Applications of Nonlinear Dynamics and Chaos Theory.
- ISBN： 9789811042263 (electronic bk.) 、 9789811042256 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
- 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.
- 摘要註: 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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讀者標籤：
- 系統號： 005385213 | 機讀編目格式
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