Invariant Algebraic Curves of Generalized Liénard Polynomial Differential Systems

In this study, we focus on invariant algebraic curves of generalized Liénard polynomial differential systems x 0 = y, y 0 = −fm(x)y − gn(x), where the degrees of the polynomials f and g are m and n, respectively, and we correct some results previously stated.

Detalles Bibliográficos
Autores: Giné, Jaume, Llibre, Jaume
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:10459.1/73030
Acceso en línea:https://doi.org/10.3390/math10020209
http://hdl.handle.net/10459.1/73030
Access Level:acceso abierto
Palabra clave:Liénard differential systems
Invariant algebraic curve
First integrals
Descripción
Sumario:In this study, we focus on invariant algebraic curves of generalized Liénard polynomial differential systems x 0 = y, y 0 = −fm(x)y − gn(x), where the degrees of the polynomials f and g are m and n, respectively, and we correct some results previously stated.