Orbital Reversibility of Planar Vector Fields

Orbital Reversibility of Planar Vector Fields

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...

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Bibliografische gegevens
Hoofdauteurs: Antonio Algaba, Cristóbal García, Jaume Giné
Formaat: Artikel
Taal:English
Gepubliceerd in: MDPI AG 2020-12-01
Reeks:Mathematics
Onderwerpen:
time-reversibility
orbital reversibility
center problem
planar vector fields
Online toegang:https://www.mdpi.com/2227-7390/9/1/14
Omschrijving
Samenvatting: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.
ISSN:2227-7390

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