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Stability problems and numerical integration on the Lie group SO(3) × R3 × R3

Stability problems and numerical integration on the Lie group SO(3) × R3 × R3 AbstractThe paper is dealing with stability problems for a nonlinear system on the Lie group SO(3) × R3 × R3. The approximate analytic solutions of the considered system via Optimal Homotopy Asymptotic Method are presented, too. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Open Mathematics de Gruyter

Stability problems and numerical integration on the Lie group SO(3) × R3 × R3

Pop, Camelia; Ene, Remus-Daniel
Open Mathematics , Volume 16 (1): 16 – Mar 20, 2018
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Publisher
de Gruyter
Copyright
© 2018 Pop and Ene, published by De Gruyter
ISSN
2391-5455
eISSN
2391-5455
DOI
10.1515/math-2018-0019
Publisher site
See Article on Publisher Site

Abstract

AbstractThe paper is dealing with stability problems for a nonlinear system on the Lie group SO(3) × R3 × R3. The approximate analytic solutions of the considered system via Optimal Homotopy Asymptotic Method are presented, too.

Journal

Open Mathematics – de Gruyter

Published: Mar 20, 2018

Keywords: Nonlinear ordinary differential systems; Nonlinear stability; Lie group; Optimal homotopy asymptotic method; 34H15; 65Nxx; 65P40; 70H14; 74G10; 74H10

References

  • Nonlinear dynamic analysis of an electrical machine rotor-bearing system by the optimal homotopy perturbation method
  • Approximate analytical solutions of the regularized long wave equation using the optimal homotopy perturbation method