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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Detalles Bibliográficos
Autores: Algaba Durán, Antonio, García García, Cristóbal, Giné, Jaume
Tipo de recurso: artículo
Fecha de publicación:2021
País:España
Institución:Universidad de Huelva (UHU)
Repositorio:Arias Montano. Repositorio Institucional de la Universidad de Huelva
Idioma:inglés
OAI Identifier:oai:ariasmontano.uhu.es:10272/19501
Acceso en línea:http://hdl.handle.net/10272/19501
Access Level:acceso abierto
Palabra clave:Time-reversibility
Orbital reversibility
Center problem
Planar vector fields
Descripción
Sumario: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.