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Article

Orbital Reversibility of Planar Vector Fields

1
Centro de Estudios Avanzados en Física, Departament Ciencias Integradas, Matemáticas y Computación, Facultad de Ciencias, University of Huelva, 21007 Huelva, Spain
2
Inspires Research Centre, Departament de Matemàtica, Universitat de Lleida, Av. Jaume II, 69, 25001 Lleida, Spain
*
Author to whom correspondence should be addressed.
Mathematics 2021, 9(1), 14; https://doi.org/10.3390/math9010014
Received: 29 August 2020 / Revised: 7 October 2020 / Accepted: 15 October 2020 / Published: 23 December 2020
(This article belongs to the Special Issue Qualitative Theory for Ordinary Differential Equations)
In this work we use the normal form theory to establish an algorithm to determine if a planar vector field is orbitally reversible. In previous works only algorithms to determine the reversibility and conjugate reversibility have been given. The procedure is useful in the center problem because any nondegenerate and nilpotent center is orbitally reversible. Moreover, using this algorithm is possible to find degenerate centers which are orbitally reversible. View Full-Text
Keywords: time-reversibility; orbital reversibility; center problem; planar vector fields time-reversibility; orbital reversibility; center problem; planar vector fields
MDPI and ACS Style

Algaba, A.; García, C.; Giné, J. Orbital Reversibility of Planar Vector Fields. Mathematics 2021, 9, 14. https://doi.org/10.3390/math9010014

AMA Style

Algaba A, García C, Giné J. Orbital Reversibility of Planar Vector Fields. Mathematics. 2021; 9(1):14. https://doi.org/10.3390/math9010014

Chicago/Turabian Style

Algaba, Antonio, Cristóbal García, and Jaume Giné. 2021. "Orbital Reversibility of Planar Vector Fields" Mathematics 9, no. 1: 14. https://doi.org/10.3390/math9010014

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