A Rich Spectrum of Dynamical Phenomenon in a Forced Parallel LCR Circuit with a Simple Nonlinear Element

Using a simplified nonlinear element in a second order nonautonomous parallel LCR circuit, we obtain a wide spectrum of dynamics, including chaos with high complexity via torus breakdown. Due to flexibility in choosing the break points in the (v− i) characteristic of the nonlinear element, we achieve enlargement of the negative conduction region, large magnitude symmetries of the chaotic attractors, increasing complexity in the dynamical performance, and masking of the large input signal by the chaotic state. Also, through hardware laboratory experiment, transition from quasiperiodic dynamics to chaos, intermittency, reverse period doubling, and period adding phenomena have been observed. The experimental results agree with the results obtained through analytical methods, which are further found to be in very good agreement with the results of a ‘0-1 test’.