Calculation of Hamilton energy function of dynamical system by using Helmholtz theorem

doi:10.7498/aps.65.240501

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	Calculation of Hamilton energy function of dynamical system by using Helmholtz theorem
	Wang Chun-Ni; Wang Ya; Ma Jun
刊名	ACTA PHYSICA SINICA
	2016-12-20
卷号	65 期号:24
关键词	Helmholtz theorem energy function oscillating system chaotic system
ISSN号	1000-3290
DOI	10.7498/aps.65.240501
英文摘要	The Helmholtz theorem confirms that any vector field can be decomposed into gradient and rotational field. The supply and transmission of energy occur during the propagation of electromagnetic wave accompanied by the variation of electromagnetic field, thus the dynamical oscillators and neurons can absorb and release energy in the presence of complex electromagnetic condition. Indeed, the energy in nonlinear circuit is often time-varying when the capacitor is charged or discharged, and the occurrence of electromagnetic induction is available. Those nonlinear oscillating circuits can be mapped into dynamical systems by using scale transformation. Based on mean field theory, the energy exchange and transmission between electronic field and magnetic field can be estimated by appropriate nonlinear dynamical equations for oscillating circuits. In this paper, we investigate the calculation of Hamilton energy for a class of dimensionless dynamical systems based on Helmholtz's theorem. Furthermore, the scale transformation can be used to develop dynamical equations for the realistic nonlinear oscillating circuit, so the Hamilton energy function could be obtained effectively. These results can be greatly useful for self-adaptively controlling dynamical systems.
资助项目	National Natural Science Foundation of China[11365014][11372122]
WOS研究方向	Physics
语种	中文
出版者	CHINESE PHYSICAL SOC
WOS记录号	WOS:000392923500003
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/33499]
专题	理学院生命科学与工程学院
通讯作者	Ma Jun
作者单位	Lanzhou Univ Technol, Sch Sci, Dept Phys, Lanzhou 730050, Peoples R China
推荐引用方式 GB/T 7714	Wang Chun-Ni,Wang Ya,Ma Jun. Calculation of Hamilton energy function of dynamical system by using Helmholtz theorem[J]. ACTA PHYSICA SINICA,2016,65(24).
APA	Wang Chun-Ni,Wang Ya,&Ma Jun.(2016).Calculation of Hamilton energy function of dynamical system by using Helmholtz theorem.ACTA PHYSICA SINICA,65(24).
MLA	Wang Chun-Ni,et al."Calculation of Hamilton energy function of dynamical system by using Helmholtz theorem".ACTA PHYSICA SINICA 65.24(2016).