A Liouville’s Formula for Systems with Reflection

Santiago Codesido and F. Adrián F. Tojo
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Santiago Codesido: Analytical Sciences Group, Faculty of Sciences, Université de Genève, 1206 Geneva, Switzerland
F. Adrián F. Tojo: Instituto de Matemáticas, Universidade de Santiago de Compostela, 15705 Santiago de Compostela, Spain

Mathematics, 2021, vol. 9, issue 8, 1-7

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.

Keywords: ODEs (ordinary differential equations); reflection; linear systems; Liouville’s formula (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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