Zero-Hopf bifurcation in a four-dimensional quartic polynomial differential system via the averaging theory of the third order
نویسندگان
1 Department of Mathematics, University of Annaba, Laboratory LMA P.O. Box.12;23 Annaba, Algeria.
2 Department of Mathematics, University of Annaba, Laboratory LMA P.O. Box.12;23 Annaba, Algeria.
3 Department of Mathematics, University of Annaba, Laboratory LMA P.O. Box.12;23 Annaba, Algeria.
doi
10.22034/cmde.2024.61831.2690چکیده
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.
