This paper studies a control method for switching stable coexisting attractors of a class of non-autonomous
dynamical systems. The central idea is to introduce a continuous path for the system’s trajectory to
transition from its original undesired stable attractor to a desired one by varying one of the system
parameters according ...
This paper studies a control method for switching stable coexisting attractors of a class of non-autonomous
dynamical systems. The central idea is to introduce a continuous path for the system’s trajectory to
transition from its original undesired stable attractor to a desired one by varying one of the system
parameters according to the information of the desired attractor. The behaviour of the control is studied
numerically for both non-smooth and smooth dynamical systems, using a soft-impact and a Duffing
oscillators as examples. Special attention is given to identify the regions where the proposed control
strategy is applicable by using path-following methods implemented via the continuation platform COCO.
It is shown that the proposed control concept can be implemented through either using an external control
input or varying a system parameter. Finally, extensive numerical results are presented to validate the
proposed control methods.
