Composite dynamical behaviors in a simple series–parallel LC circuit

In this paper, we report a variety of dynamical behaviors exhibited in a compact series–parallel LC circuit system comprising of two active elements, one linear negative conductance and one ordinary junction diode with piecewise linear v − i characteristics. For convenience, we consider the amplitude (Ef) and frequency (f) of the driving force as control parameters amongst various other parameters. We observe the phenomenon of antimonotonicity, torus breakdown to chaos, bubbles to chaos, period doubling to chaos and emergence of multiple attractors which follow a progressive sequence, etc. As an overview to understand many more variety of bifurcations and attractors, the construction of two parameter phase diagram is also shown pictorially. The chaotic dynamics of this circuit is realized by laboratory experiment, numerical and analytical investigations and found that the results are in good agreement with each other.

► We have presented a simple circuit exhibiting rich dynamical behaviors.
► The detailed study of the circuit is given by two parameter bifurcation diagram.
► The numerical, analytical and experimental results are good in agreement.
► The Chosen system seems to have potential application in future.