Chaotic Oscillations in Cascoded and Darlington-Type Amplifier Having Generalized Transistors

Abstract

This paper describes, based on both numerical and experimental bases, the evolution of chaotic and, in some cases, hyperchaotic attractors within mathematical models of two two-port analog functional blocks commonly used inside radio-frequency systems. The first investigated electronic circuit is known as the cascoded class C amplifier and the second network represents a resonant amplifier with Darlington’s active part. For the analysis of each mentioned block, fundamental configurations that contain coupled generalized bipolar transistors are considered; without driving force or interactions with other lumped circuits. The existence of the structurally stable strange attractors is proved via the high-resolution composition plots of the Lyapunov exponents, numerical sensitivity analysis and captured oscilloscope screenshots.

Chaos in Analog Electronic Circuits: Comprehensive Review, Solved Problems, Open Topics and Small Example

“…The Darlington pair of transistors is suitable in the situations where a high-current amplification factor is needed. Both mentioned types of interconnections of two bipolar transistors loaded by a parallel resonant tank are analyzed in paper [44].…”

“…As pointed out in paper [166], the topology of the state attractor generated by the analyzed dynamical system is insensitive to the choices of initial conditions, and as such is suitable for the task of parameter identification that leads to robust chaos (searching for chaos). During the investigation of different single bipolar transistor-based analog signal processing cells [24,44] we came across the following set of the ordinary differential equations that are normalized with respect to both frequency and impedance, namely…”

Analog Circuits

“…• Chaos and analog computation [1][2][3][4][5][6][7][8][9]; • Algebraic approaches to the analysis of electrical networks [10]; • AI tools for the design of analog devices [11][12][13][14]; • Industrial applications [15,16].…”

“…In [4], Petrzela and Rujzlh present a complete study of the chaotic oscillations in an electronic circuit based on classical discrete components, such as the Darlington configuration. The authors propose mathematical models and a rich gallery of attractors derived both by using numerical simulations and with experimental prototypes.…”