Generating independent chaotic attractors by chaos anticontrol in nonlinear circuits

The present paper introduces a new technique to generate several independent chaotic attractors by designing a switching piecewise-constant controller in continuous-time systems. This controller can create chaos using an anticontrol of chaos feedback. It is shown that nonlinear continuous-time systems have several attractors, depending on initial conditions. We demonstrate that the state space equidistant repartition of these attractors is on a precise curve, that depends of the system parameters. A mathematical formula giving the distance between the attractors is then deduced. Finally, several examples are given to verify the proposed methodology.