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Using the averaging theory of second order, we study the limit cycles which bifurcate from a zero-Hopf equilibrium point of polynomial vector fields with cubic nonlinearities in ℝ n $\mathbb… Click to show full abstract
Using the averaging theory of second order, we study the limit cycles which bifurcate from a zero-Hopf equilibrium point of polynomial vector fields with cubic nonlinearities in ℝ n $\mathbb {R}^{n}$ . We prove that there are at least 3 n − 2 limit cycles bifurcating from such zero-Hopf equilibrium points. Moreover, we provide an example in dimension 6 showing that this number of limit cycles is reached.
Keywords:
averaging theory;
second order;
limit cycles;
theory second;
zero hopf
Journal Title: Journal of Dynamical and Control Systems
Year Published: 2020
Link to full text (if available)
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Journal Title: Journal of Dynamical and Control Systems
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!