Switching to nonhyperbolic cycles from codim 2 bifurcations of equilibria in ODEs (Q1000683)

The paper provides full algorithmic details on switching to the continuation of all possible codim 1 cycle bifurcations from generic generalized Hopf, zero-Hopf and double Hopf bifurcation coding 2 equilibrium bifurcation points in system \(\dot x= f(x,\alpha)\), \((x,\alpha)\in\mathbb{R}^n\times\mathbb{R}^2\), where \(f\) is smooth. The authors discuss the implementation and the performance of the algorithm in several examples, including an extended Lorenz-84 model and a laser system.