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Abstract:
We continuously track the unstable period one orbit through various bifurcations in a numerical model for electrochemical corrosion. The tracking strategy used is a combination of a continuation method and the map-based control strategy (SPF) [1, 2] to stabilise periodic orbits in deterministic chaotic systems. After achieving control on the unstable periodic orbit using the control strategy (SPF), we use a continuation method to maintain control on the orbit as one of the system parameters is allowed to drift. This allows us to track the stabilised orbit over long ranges of parameters and through various bifurcations. Tracking could prove to be advantageous in controlling the dynamical behavior of experimental situations where the system response drifts with time
