Periodic solutions for a four-dimensional hyperchaotic system

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 condi...

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Hlavní autoři: Yang, J, Wei, Z, Moroz, I
Médium: Journal article
Vydáno: SpringerOpen 2020