Capturing and shunting energy in chaotic Chua circuit

Abstract

Abstract Nonlinear electric devices are critical for building chaotic circuits and the outputs voltage from the capacitor are often detected for further analyzing the dynamics of the nonlinear circuits. Continuous exchange between the electric field energy in the capacitor and magnetic field energy in the induction coil is effective to keep continuous oscillation in the circuit. That is, energy encoding and transmission can regulate the dynamical behaviors in chaotic circuits. In this paper, a branch circuit, which is built by using a capacitor and induction coil, is paralleled with one output end of chaotic Chua circuit, and this external branch circuit is activated to control chaos by pumping energy from Chua circuit and capturing external electromagnetic radiation. From dynamical control view, it explains the mechanism for differential control via capacitor and integral control via induction coil. While in the view of energy encoding, the control branch of circuit built by using a capacitor connected with induction coil in series can capture some external field energy and thus the nonlinear behaviors are controlled by generating equivalent current in the branch of control circuit. The circuit equation and also the dimensionless dynamical system under energy control are obtained, and numerical studies are supplied to confirm the control mechanism from physical view. In the end, it gives possible suggestions to enhance the control effectiveness in experimental way.