Stability Problems and Analytical Integration for the Clebsch’s System-Reference-Cited by-同舟云学术

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Stability Problems and Analytical Integration for the Clebsch’s System

Published:2019-04-09 Issue:1 Volume:17 Page:242-259
ISSN:2391-5455
Container-title:Open Mathematics
language:
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Author:

Pop Camelia¹,Ene Remus-Daniel¹

Affiliation:

1. University Politehnica Timişoara, Department of Mathematics, Timişoara, 300006, Romania

Abstract

Abstract The nonlinear stability and the existence of periodic orbits of the equilibrium states of the Clebsch’s system are discussed.. Numerical integration using the Lie-Trotter integrator and the analytic approximate solutions using Multistage Optimal Homotopy Asymptotic Method are presented, too.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2019-0018/pdf

Reference32 articles.

1. Stabilization of Rigid Body Dynamics by the Energy-Casimir Method;Syst. Control Lett.,1990

2. Some Remarks on the Clebsch’s System;Bull. Sci. Math.,2004

3. On the dynamics and the geometry of the Ishii system;International Journal of Geometric Methods in Modern Physics,2013

4. On the dynamics and the geometry of the Ishii system;International Journal of Geometric Methods in Modern Physics,2013

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Reduction of Divisors and the Clebsch System;Regular and Chaotic Dynamics;2022-05

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