Rich Variety of Bifurcations and Chaos in a Variant of Murali-Lakshmanan-Chua Circuit

A very simple nonlinear parallel nonautonomous LCR circuit with Chua's diode as its only nonlinear element, exhibiting a rich variety of dynamical features, is proposed as a variant of the simplest nonlinear nonautonomous circuit introduced by Murali, Lakshmanan and Chua(MLC). By constructing a two-parameter phase diagram in the $(F-\omega)$ plane, corresponding to the forcing amplitude (F) and frequency $(\omega)$, we identify, besides the familiar period-doubling scenario to chaos, intermittent and quasiperiodic routes to chaos as well as period-adding sequences, Farey sequences, and so on. The chaotic dynamics is verified by both experimental as well as computer simulation studies including PSPICE.Comment: 4 pages, RevTeX 4, 5 EPS figure

An Eigenvalue Study on the Variant of Murali-Lakshmanan-Chua Circuit

In this paper, the eigenvalues of a simple second-order non autonomous chaotic circuit namely, the variant of the Murali-Lakshmanan-Chua’s (MLCV) circuit is studied.  The dynamical behaviour of the circuit is obtained by means of a study on the Eigen values of the linearized Jacobian of the nonlinear differential equations.  The trajectories of the Eigen values as functions of the dynamic parallel loss conductance explaining the supercritical hopf bifurcation exhibited by the autonomous system is presented