Advanced parallel processing of Lyapunov exponents verified by practical circuit

Abstract

An advanced method for parallel computation of Lyapunov exponents in nonlinear parameter dependent continuous dynamical systems is presented. For computing exponents MATLAB with Parallel Toolbox was used. A simplest physical chaotic flow published in [2] was chosen and mathematically analysed. Obtained equation's parameters were calculated and synthesized into a circuit. Realization was implemented into a analog circuit and compared with the theory.