Controlling multistability with intermittent noise

Abstract

We present a method for controlling multistability in dynamical systems with inherent coexisting multiple attractors. The scheme involves an intermittent noise, which is active only when the dynamics of the system is in a particular fraction of the state space of the system. In contrast to the existing methods of unrestricted noise controls resulting predominantly in attractor hopping, this scheme of space-dependent intermittent noise selectively annihilates undesired attractors to control multistability. We implement the proposed scheme successfully, first on bistable systems to achieve monostability preserving only the desired attractor and then on multistable systems as well. We further demonstrate the construction of logic gates using the control over bistability achieved with the intermittent noise.