Analysis of Zero–Hopf Bifurcation in a Simple Jerk System-Reference-Cited by-同舟云学术

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Analysis of Zero–Hopf Bifurcation in a Simple Jerk System

Published:2023-10 Issue:13 Volume:33 Page:
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Guo Biyao¹,Zhou Yan²,Zhang Wei³,Liu Yu¹

Affiliation:

1. College of Mathematical Sciences, Inner Mongolia Normal University, Hohhot 010022, P. R. China

2. College of Mathematical Sciences, The Applied Mathematics Center, Inner Mongolia Normal University, Hohhot 010022, P. R. China

3. School of Civil Engineering and Architecture, Guangxi University, Guangxi 530000, P. R. China

Abstract

This work aims to study the zero–Hopf bifurcation of a jerk system with four real parameters. Some sufficient conditions of the emergence of periodic orbit and its stability at zero–Hopf equilibrium point are obtained by averaging theory.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127423501547

Reference25 articles.

1. Dynamics, Circuitry Implementation and Control of an Autonomous Helmholtz Jerk Oscillator

2. Breakdown of Heteroclinic Orbits for Some Analytic Unfoldings of the Hopf-Zero Singularity

3. The inner equation for generic analytic unfoldings of the Hopf-zero singularity

4. Hopf-Zero singularities truly unfold chaos

5. Zero-Hopf bifurcation in a 3D jerk system

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