ZERO-HOPF BIFURCATION IN A FOUR-DIMENSIONAL QUARTIC POLYNOMIAL DIFFERENTIAL SYSTEM VIA AVERAGING THEORY OF THIRD ORDER

Document Type : Research Paper

Authors

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

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.

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Main Subjects



Articles in Press, Accepted Manuscript
Available Online from 07 October 2024
  • Receive Date: 27 May 2024
  • Revise Date: 10 September 2024
  • Accept Date: 06 October 2024