One Algorithm of Finding Solutions for the Systems with First Integrals

Valentin Irtegov () and Tatyana Titorenko
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Valentin Irtegov: Institute of Systems Dynamics and Control Theory SB RAS
Tatyana Titorenko: Institute of Systems Dynamics and Control Theory SB RAS

A chapter in Computer Algebra in Scientific Computing CASC’99, 1999, pp 233-239 from Springer

Abstract: Abstract We discuss the algorithm for finding the relative and absolute stability positions and invariant manifolds of systems of differential equations. The proposed approach is based on the analysis of stationary sets of first integrals of the system. Example applications of this algorithm to mechanical problems are presented. In some stages of solution the tools of computer algebra are used.

Keywords: Stationary Solution; Invariant Manifold; Computer Algebra; Stationarity Condition; Find Solution (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-60218-4_18

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DOI: 10.1007/978-3-642-60218-4_18

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