Completely Integrable Hamiltonian Systems Generated by Poisson

Chin. Phys. Lett.

2005, Vol. 22

Issue (11): 2735-2737 DOI:

Original Articles

Completely Integrable Hamiltonian Systems Generated by Poisson

LEI De-Chao;ZHANG Xiang

Department of Mathematics, Shanghai Jiaotong University,Shanghai 200240

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LEI De-Chao, ZHANG Xiang 2005 Chin. Phys. Lett. 22 2735-2737

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Abstract The completely integrable Hamiltonian systems have been applied to physics and mechanics intensively. We generate a family of completely integrable Hamiltonian systems from some kinds of exact Poisson structures in R³ by the realization of the Poisson algebra. Moreover, we prove that there is a Poisson algebra which cannot be realized by an exact Poisson structure.

Keywords: 02.30.Hg 02.30.Ik 05.45.-a 03.65.Db

Published: 01 November 2005

PACS:	02.30.Hg
	02.30.Ik	(Integrable systems)
	05.45.-a	(Nonlinear dynamics and chaos)
	03.65.Db	(Functional analytical methods)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2005/V22/I11/02735

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