Hopf Bifurcations and Small Amplitude Limit Cycles in Rucklidge Systems

@inproceedings{Dias2013HopfBA,
  title={Hopf Bifurcations and Small Amplitude Limit Cycles in Rucklidge Systems},
  author={Fabio Scalco Dias and Luis Fernando Mello},
  year={2013}
}
In this article we study Hopf bifurcations and small amplitude limit cycles in a family of quadratic systems in the three dimensional space called Rucklidge systems. Bifurcation analysis at the equilibria of Rucklidge system is pushed forward toward the calculation of the second Lyapunov coefficient, which makes possible the determination of the Lyapunov and higher order structural stability.