任意维Hamiltonian系统的周期解和某些流形的全局参数化

IF 1.4 4区数学 Q1 MATHEMATICS

Carpathian Journal of Mathematics Pub Date : 2022-07-26 DOI:10.37193/cjm.2022.03.09

D. Tiba

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引用次数: 0

摘要

“最近已经证明，在适当的条件下，极限环的情况对二维哈密顿系统是无效的。应用涉及平面闭合曲线的全局参数化和最优设计问题。在这里，我们讨论了这一结果的部分推广，对于某些高维哈密顿型系统。”

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"Periodic solutions for certain Hamiltonian systems in arbitrary dimension and global parametrization of some manifolds"

"t has been recently shown that the limit cycle situation is not valid for Hamiltonian systems in dimension two, under appropriate conditions. The applications concern global parametrizations of closed curves in the plane and optimal design problems. Here, we discuss a partial extension of this result, for certain Hamiltonian-type systems in higher dimension."

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来源期刊

Carpathian Journal of Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

7.10%

发文量

审稿时长

>12 weeks

期刊介绍： Carpathian Journal of Mathematics publishes high quality original research papers and survey articles in all areas of pure and applied mathematics. It will also occasionally publish, as special issues, proceedings of international conferences, generally (co)-organized by the Department of Mathematics and Computer Science, North University Center at Baia Mare. There is no fee for the published papers but the journal offers an Open Access Option to interested contributors.