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

DOI10.1504/IJDSDE.2020.109106zbMath1474.34281OpenAlexW4247818195MaRDI QIDQ2019896

Amar Makhlouf, Amina Feddaoui, Jaume Llibre

Publication date: 22 April 2021

Published in: International Journal of Dynamical Systems and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1504/ijdsde.2020.109106

zbMATH Keywords

Hopf bifurcationaveraging theorycubic polynomial differential systems

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Averaging method for ordinary differential equations (34C29)

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Four-dimensional zero-Hopf bifurcation of quadratic polynomial differential system, via averaging theory of third order

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