Abstract
We discuss the use of perpetual points for tracing the hidden and the rare attractors of dynamical systems. The analysis of perpetual points and their co-existence due to the parameters values is presented and the impact of these points on the behavior of the systems is shown. The results are obtained for single as well as coupled externally excited van der Pol–Duffing oscillators. The presented results can be generalized to other systems having different dynamics.
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