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

摘要

The paper provides full algorithmic details on switching to the continuation of all possible codim 1 cycle bifurcations from generic codim 2 equilibrium bifurcation points in n-dimensional ODEs. We discuss the implementation and the performance of the algorithm in several examples, including ail extended Lorenz-84 model and a laser system. (C) 2008 Elsevier B.V. All rights reserved