Zero-Hopf bifurcation in a four-dimensional quartic polynomial differential system via the averaging theory of the third order

Bouaziz, Chamseddine; Makhlouf, Amar; Tabet, Achref Eddine

doi:10.22034/cmde.2024.61831.2690

Zero-Hopf bifurcation in a four-dimensional quartic polynomial differential system via the averaging theory of the third order

Document Type : Research Paper

Authors

Department of Mathematics, University of Annaba, Laboratory LMA P.O. Box.12;23 Annaba, Algeria.

10.22034/cmde.2024.61831.2690

Abstract

The averaging theory of third order shows that for a 4-dimensional Quartic Polynomial Differential System, at most 36 limit cycles can bifurcate from one singularity with eigenvalues of the form ±ωi, 0, and 0.

Keywords

Main Subjects

Dynamical systems and ergodic theory

References

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