In 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.
CITATION STYLE
Yang, J., Wei, Z., & Moroz, I. (2020). Periodic solutions for a four-dimensional hyperchaotic system. Advances in Difference Equations, 2020(1). https://doi.org/10.1186/s13662-020-02647-4
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