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Published in:
2011 | OriginalPaper | Chapter
On Invariant Manifolds of Lagrange Systems
Authors : Valentin Irtegov, Tatyana Titorenko
Published in: Computer Algebra in Scientific Computing
Publisher: Springer Berlin Heidelberg
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This paper is a continuation of the previous work [1]. In the present paper we propose a new approach for obtaining and qualitative analysis of invariant manifolds of Lagrange systems, which possess cyclic first integrals. The main idea consists in the use of “extended” characteristic functions. The proposed approach is demonstrated by examples of concrete mechanical systems. The computer algebra system (CAS) “Mathematica” is applied for computations.