Experimental Observation of Robust Chaos in a 3D Electronic Circuit

Abstract

Robust chaos occurring in piecewise smooth dynamical systems is very important in practical applications. It is defined by the absence of periodic windows and coexisting attractors in some neighborhood of the parameter space. In earlier works, the conditions of stability and region of parameter space of robust chaos were reported in the context of piecewise linear 1D and 2D maps, and have been demonstrated in 1D and 2D switching circuits. In this brief, the first experimental observation of this phenomenon in a 3D electronic switching system is reported and the region of its parameter space is determined experimentally.