Simulation of the Chaotic Dynamics of the Deterministic Chaos Transistor Oscillator based on the Hartley Circuit

Abstract

The paper proposes a new mathematical model in normed dynamical variables for researching the dynamics of the deterministic chaos transistor oscillator built upon the Hartley oscillator. New equations determining normed dynamic variables, non-linear functions approximating the base current and emitter-base voltage, and coefficients of self-oscillatory system of deterministic chaos transistor oscillator built upon the Hartley circuit are considered. Numerical mathematical modelling of the Hartley oscillator chaotic dynamics in MathCad 15.0 software was performed. Phase portraits, as well as time and frequency characteristics of the generated chaotic oscillations were depicted. Results of experimental researching chaotic dynamics of the transistor oscillator on the basis of the Hartley circuit were obtained using NI Multisim 10.1 virtual lab.