Stability and Hopf Bifurcation in a Modified Sprott <i>C</i> System-Reference-Cited by-同舟云学术

Stability and Hopf Bifurcation in a Modified Sprott C System

Published:2024-07-19 Issue:0 Volume:0 Page:
ISSN:1338-9750
Container-title:Tatra Mountains Mathematical Publications
language:en
Short-container-title:

Author:

Salih Rizgar H.¹,Mohammed Bashdar M.¹

Affiliation:

1. Department of Mathematics, College of Basic Education , University of Raparin , Rania, Kurdistan , Iraq

Abstract

Abstract In this article, a Modified Sprott C system is considered. The stability of equilibrium points and the occurrence of Hopf bifurcation in the system are investigated. It has been proved that the system displays a Hopf bifurcation at α = 0. Additionally, by applying normal form theory, the stability, direction and increase (or decrease) of the period of bifurcating periodic solutions of the system are illustrated. It has been shown that the solutions of bifurcating periodic solutions at the bifurcation value α = 0 are unstable. The type of Hopf bifurcation is subcritical and the periods of the bifurcating periodic solutions increase.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/tmmp-2024-0012

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