Zero-Hopf Bifurcation in the Rössler’s Second System

Rizgar Haji Salih


     This paper is devoted to study the zero-Hopf bifurcation of the Rössler's second system. We characterize the parameters for which a zero-Hopf equilibrium point takes place at each point. We prove that there are three one-parameter families exhibiting such equilibria. The averaging theory of the first order is also applied to prove the existence of one periodic orbit bifurcating from the zero-Hopf equilibrium at the origin. Here, to visualize this, FireFlies software is used.


R¨ossler’s second system, periodic orbit, averaging theory, zero Hopf bifurcation.

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