An autonomous chaotic oscillator based on hyperbolic tangent nonlinearity

A simple continuous-time chaotic oscillator is described. The oscillator is designed based on widely studied double-scroll chaotic behavior and thought the use of approximating hyperbolic tangent function as a nonlinear part. Gm-C integrators are primarily employed as the simplest component for performing the three-dimensional differential equations of jerk system. The chaotic dynamics are examined in terms of a bifurcation diagram, Lyapunov exponents, chaotic attractor, waveform in time domain, equilibrium point and Jacobian matrix. The proposed circuit is operated on a single supply which is suitable for implementation and offers a viable alternative for robust random-bit generator applications.