Isolating Segments, Fixed Point Index, and Symbolic Dynamics

An extension of the recently introduced Srzednicki–Wójcik method for detecting chaotic dynamics in periodically forced ordinary differential equations is presented. As an application of the method we construct a topological model for the planar equation and we show by a continuation argument that the symbolic dynamics on three symbols for the topological model continues to Eq. (1) for 0<κ 0.495.