Author:
Yang Jing,Wei Zhouchao,Moroz Irene
Abstract
AbstractIn this paper, we show a zero-Hopf bifurcation in a four-dimensional smooth quadratic autonomous hyperchaotic system. Using averaging theory, we prove the existence of periodic orbits bifurcating from the zero-Hopf equilibrium located at the origin of the hyperchaotic system, and the stability conditions of periodic solutions are given.
Funder
National Natural Science Foundation of China
Graduates education Teaching Research and Reform Project
Fundamental Research Funds for the Central Universities, China University of Geosciences
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
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