Polynomial interpolation as detector of orbital equation equivalence

Owen J. Brison () and Jason A. C. Gallas
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Owen J. Brison: Departamento de Matemática, Universidade de Lisboa, 1649-003 Lisboa, Portugal
Jason A. C. Gallas: #x2020;Instituto de Altos Estudos da Paraíba, Rua Silvino Lopes 419-2502, 58039-190 João Pessoa, Brazil‡Complexity Sciences Center, 9225 Collins Ave. 1208, Surfside FL 33154, USA§Max-Planck-Institut für Physik komplexer Systeme, 01187 Dresden, Germany

International Journal of Modern Physics C (IJMPC), 2018, vol. 29, issue 10, 1-13

Abstract: Equivalence between algebraic equations of motion may be detected by using a p-adic method, methods using factorization and linear algebra, or by systematic computer search of suitable Tschirnhausen transformations. Here, we show standard polynomial interpolation to be a competitive alternative method for detecting orbital equivalences and field isomorphisms. Efficient algorithms for ascertaining equivalences are relevant for significantly minimizing computer searches in theoretical and practical applications.

Keywords: Polynomial equivalence; polynomial isomorphism; algebraic computation (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1142/S0129183118500961

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