A Liouville’s Formula for Systems with Reflection

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2021_mathematics_codesido_liouville.pdf (240.88 KB)
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URI: http://hdl.handle.net/10347/26806
E-ISSN: 2227-7390
DOI: 10.3390/math9080866

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2021

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MDPI
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Abstract

In this work, we derived an Abel–Jacobi–Liouville identity for the case of two-dimensional linear systems of ODEs (ordinary differential equations) with reflection. We also present a conjecture for the general case and an application to coupled harmonic oscillators

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ODEs (ordinary differential equations)| Reflection| Linear systems| Liouville’s formula

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Mathematics 2021, 9(8), 866; https://doi.org/10.3390/math9080866

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F. Adrián F. Tojo was partially supported by Xunta de Galicia, project ED431C 2019/02, and by the Agencia Estatal de Investigación (AEI) of Spain under grant MTM2016-75140-P, co-financed by the European Community fund FEDER

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© 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/)
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