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

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	Zero-Hopf bifurcation in a four-dimensional quartic polynomial differential system via the averaging theory of the third order
Computational Methods for Differential Equations
مقاله 6، دوره 13، شماره 4، دی 2025، صفحه 1148-1161 اصل مقاله (356.94 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.61831.2690
نویسندگان
Chamseddine Bouaziz^* ؛ Amar Makhlouf؛ Achref Eddine Tabet
Department of Mathematics, University of Annaba, Laboratory LMA P.O. Box.12;23 Annaba, Algeria.
چکیده
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.
کلیدواژه‌ها
Averaging theory؛ zero-Hopf bifurcation؛ Quartic polynomial differential systems

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