Zero-Hopf bifurcation in the Chua’s circuit

What is it about?

We provide an algorithm for studying the periodic orbits that bifurcate from a zero-Hopf equilibrium in dimension three, i.e. from an equilibrium point of a differential system in R^3 such that the linear part of the differential system at this equilibrium has eigenvalues zero, and a pair of conjugate purely imaginary. The main tool is the averaging theory for computing periodic orbits.

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Why is it important?

The main importance is the algorithm used for computing the periodic orbits bifurcating from a zero-Hopf equilibrium.