Chaotic behavior in the unfolding of Hopf-Bogdanov-Takens singularities (Q2284897)

The authors present a discussion on local bifurcations of codimension one and two for generic unfoldings of Hopf-Bogdanov-Takens singularities of codimension three. They focus on Hopf-Zero and Hopf-Hopf bifurcations, thus explaining the occurrence of chaotic dynamics, and provide numerical simulations to illustrate that strange attractors appear when the second-order normal form of the unfolding is taken into account.