4-dimensional zero-Hopf bifurcation for polynomial differentials systems with cubic homogeneous nonlinearities via averaging theory

The averaging theory of second order shows that for polynomial differential systems in R4 with cubic homogeneous nonlinearities at least nine limit cycles can be born in a zero-Hopf bifurcation.

Detalles Bibliográficos
Autores: Feddaoui, Amina, Llibre, Jaume|||0000-0002-9511-5999, Makhlouf, Ammar
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:232600
Acceso en línea:https://ddd.uab.cat/record/232600
https://dx.doi.org/urn:doi:10.1504/IJDSDE.2020.109106
Access Level:acceso abierto
Palabra clave:Averaging theory
Cubic polynomial differential systems
Hopf bifurcation
Descripción
Sumario:The averaging theory of second order shows that for polynomial differential systems in R4 with cubic homogeneous nonlinearities at least nine limit cycles can be born in a zero-Hopf bifurcation.