© 2018 World Scientific Publishing Company. In this paper, we study the periodic solutions bifurcating from a nonisolated zero-Hopf equilibrium in a polynomial differential system of degree two in ℝ3. More specifically, we use recent results of averaging theory to improve the conditions for the existence of one or two periodic solutions bifurcating from such a zero-Hopf equilibrium. This new result is applied for studying the periodic solutions of differential systems in ℝ3 having n-scroll chaotic attractors.
|Journal||International Journal of Bifurcation and Chaos in Applied Sciences and Engineering|
|Publication status||Published - 1 May 2018|
- Averaging theory
- periodic solutions
- polynomial differential systems
- zero-Hopf bifurcation
- zero-Hopf equilibrium