Dynamical Systems of Class C: Searching for the Most Robust Practical Implementation of the Chaotic Oscillator

Abstract: This contribution is about a design of universal chaotic oscillator based on the integrator synthesis, which represents a class of dynamical systems with piecewise linear vector fields. Final circuit consists of commercially available devices and provide us with good agreement between theoretical expectations and practical measurements. This is documented by a gallery of the oscilloscope screenshots. Moreover, one possible configuration of proposed circuit also exhibits the lowest sensitivity of the state space attractors with respect to the changes or uncertaines of the system parameters, which is prooved by a Monte-Carlo analysis together with the presence of positive one-dimensional Lyapunov exponent. Key-Words: autonomous oscillator, chaos, Lyapunov exponents, eigenvalue