New Chaotic Oscillator Derived from Class C Single Transistor-Based Amplifier

Abstract

This paper describes new autonomous deterministic chaotic dynamical system having single unstable saddle-spiral fixed point. Mathematical model originates in the fundamental structure of class C amplifier. Evolution of robust strange attractors is conditioned by a bilateral nature of bipolar transistor with local polynomial or piecewise linear feedforward trans-conductance and high frequency of operation. Numerical analysis is supported by experimental verification and both results prove that chaos is neither a numerical artifact nor a long transient behaviour. Also, good accordance between theory and measurement has been observed.This paper describes new autonomous deterministic chaotic dynamical system having single unstable saddle-spiral fixed point. Mathematical model originates in the fundamental structure of class C amplifier. Evolution of robust strange attractors is conditioned by a bilateral nature of bipolar transistor with local polynomial or piecewise linear feedforward trans-conductance and high frequency of operation. Numerical analysis is supported by experimental verification and both results prove that chaos is neither a numerical artifact nor a long transient behaviour. Also, good accordance between theory and measurement has been observed.