Resonant negative feedback for controlling chaos in the two-well nonautonomous oscillator
We consider second order linear resonant filter inserted in the negative feedback loop of the chaotic two-well oscillator for stabilizing unstable periodic orbit. Experiments have been performed with an electrical circuit, imitating dynamical behaviour of the two-well nonautonomous chaotic oscillator. Stabilization of periodic oscillations can be achieved with small control force. Mathematical model based on a two-well piecewise parabolic potential is discussed and numerical simulations are presented.