Newton Polyhedra and the Reversible System of Ordinary Differential Equations

A. Soleev () and I. Yarmukhamedov
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A. Soleev: Samarkand State University, Faculty of Mathematics
I. Yarmukhamedov: Samarkand State University, Faculty of Mathematics

A chapter in Computer Algebra in Scientific Computing, 2000, pp 335-343 from Springer

Abstract: Abstract We investigate a reversible system of fourth-order ODEs by using the method of Newton polyhedron. We discuss the program for IBM PC, which computes the Newton polyhedron of the system under study and all of its corresponding objects. The results of the program runs are presented as a table of correspondences.

Keywords: Normal Form; Normal Cone; Homoclinic Solution; Newton Polygon; Reversible System (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-57201-2_26

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DOI: 10.1007/978-3-642-57201-2_26

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