Strange nonchaotic dynamics of parametrically enhanced MLC circuit

Abstract

We report experimental and numerical studies of a strange nonchaotic attractor (SNA) using a parametrically perturbed Murali–Lakshmanan–Chua (MLC) circuit. One of the energy storage elements in the circuit, i.e., the capacitor, is perturbed parametrically with a sinusoidal excitation. Under this condition, the circuit exhibits both chaotic and strange nonchaotic behavior for suitably adjusted capacitor values. This constitutes the novelty of this work. The other point to note in this circuit is that one of the two alternating-current (AC) stimulations (which are usually connected in series to observe SNA) is obtained by varying the capacitance with a perturbation consisting of a periodic stimulating force. The experimental results are confirmed by numerical study, in particular calculations of the correlation coefficient, path of translation variables, modified mean square displacement, singular continuous spectrum, power spectrum, and autocorrelation coefficient, to confirm the existence of an SNA in the dynamics of the modified MLC circuit.