Implementation of a BJT based jerk circuit: route to chaos with multiple attractors

摘要

Recently researchers have done much work on simple chaotic circuits based on jerk equations. In this paper, a jerk circuit was simulated and implemented using a Bipolar Junction Transistor (BJT) as a nonlinear switch. This nonlinear electronic circuit showed chaotic dynamics under different conditions. A jerk circuit constitutes a third order differential equation having hypothetical factors x, x, x and ...x. The stretching and folding phenomenon by changing control parameter of the dynamical system and its transition into chaos was observed. The system displayed a period-1, period-2, and period-4 responses (attractors) and then the period-doubling cascade led the system into chaos with multiple attractors. In addition, a bifurcation diagram was also drawn by numerically solving the nonlinear differential equation of the system.