Abstract

Bifurcations and chaotic behaviour, via the period doubling route, are shown for the Carotid–Kundalini map function. This function is particularly interesting since it is not simply unimodal in the range [−1⋯1]. Calculations of the Feigenbaum constants α and δ are made which do not differ greatly from the established values. The exponential divergence of nearby trajectories is used to demonstrate the existence of chaotic behaviour.

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