Reversibility in polynomial systems of ODE’s

Maoan Han, Tatjana Petek and Valery G. Romanovski

Applied Mathematics and Computation, 2018, vol. 338, issue C, 55-71

Abstract: For a given family of real planar polynomial systems of ordinary differential equations depending on parameters, we consider the problem of how to find the systems in the family which become time-reversible after some affine transformation. We first propose a general computational approach to solve this problem, and then demonstrate its usage for the case of the family of quadratic systems.

Keywords: Polynomial systems of ODE’s; Symmetries; Time-reversible system; Integrability (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:338:y:2018:i:c:p:55-71

DOI: 10.1016/j.amc.2018.05.051

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