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  Polynomial interpolation as detector of orbital equation equivalence

Brison, O. J., & Gallas, J. A. C. (2018). Polynomial interpolation as detector of orbital equation equivalence. International Journal of Modern Physics C, 29(10): 1850096. doi:10.1142/S0129183118500961.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0002-A0B9-8 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-A0BA-7
Genre: Journal Article

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 Creators:
Brison, Owen J.1, Author
Gallas, Jason A. C.2, Author              
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1external, ou_persistent22              
2Max Planck Institute for the Physics of Complex Systems, Max Planck Society, ou_2117288              

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 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.

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 Dates: 2018-09-192018-10
 Publication Status: Published in print
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 Identifiers: ISI: 000450115700005
DOI: 10.1142/S0129183118500961
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Title: International Journal of Modern Physics C
  Other : Int. J. Mod. Phys. C
Source Genre: Journal
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Publ. Info: Singapore : World Scientific
Pages: - Volume / Issue: 29 (10) Sequence Number: 1850096 Start / End Page: - Identifier: ISSN: 0129-1831
CoNE: https://pure.mpg.de/cone/journals/resource/954925469310