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Computer algebra and investigation of invariant manifolds of mechanical systems

V.D. Irtegov and T.N. Titorenko

Mathematics and Computers in Simulation (MATCOM), 2004, vol. 67, issue 1, 99-109

Abstract: The paper discusses some problems of finding and qualitative investigation of diverse-level invariant manifolds of mechanical systems having first algebraic integrals. The proposed scheme of the investigation is mainly oriented to employing computer algebra. A problem of motion of a mechanical system under the effect of several force fields is considered as an example.

Keywords: Computer algebra; Qualitative analysis; Rigid body mechanics; Invariant manifolds (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:67:y:2004:i:1:p:99-109

DOI: 10.1016/j.matcom.2004.05.011

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