Initial Conditions and Coexisting Attractors in an Autonomous Circuit

In this paper we have studied the dynamics of a non driven circuit of fourth-order. The circuit constitutes of two active elements, one linear negative conductance and one non linear resistor exhibiting a symmetrical piecewise linear v-i characteristic. The resistor R1, which couples the negative conductance and the nonlinear element, serves as the control parameter of the system. We have observed formation of “bubbles” for some initial conditions. In a narrow region of R1 values, we have observed antimonotonicity, different routes to chaos via period doubling sequences and reverse period doubling and transition from periodic to quasi-periodic and finally to chaos. We have also studied the dependence of circuit’s behavior on initial conditions. Key-Words: Coexisting attractors, Initial conditions, Control parameter, Period doubling, Bubbles, Antimonotonicity, Chaos.