Polynomial interpolation as detector of orbital equation equivalence

Brison, Owen J.; Gallas, Jason A. C.

doi:10.1142/S0129183118500961

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Polynomial interpolation as detector of orbital equation equivalence

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Gallas, Jason A. C.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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https://www.worldscientific.com/doi/10.1142/S0129183118500961
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Citation

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.

Cite as: https://hdl.handle.net/21.11116/0000-0002-A0B9-8

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.