Implementation of Chuas circuit employing modern active blocks

Abstract

The recent developments in chaos theory and its practical implementation in electronic circuits have gained significant attention among researchers due to its intriguing characteristics. Unlike linear system, which exhibit predictable behavior governed by the superposition principle, chaotic systems are highly sensitive to initial conditions, leading to complex and untraceable patterns. This inherent property of chaotic systems has paved the way for various applications in engineering and scientific domains, specifically: secure communication, random number generation, image processing, control engineering, robotics, electronic circuit design, neural networks, and data encryption and few more. The fundamental characteristic of chaotic systems is their bounded, aperiodic, and deterministic nature, which allows researchers to explore their dynamical behavior through mathematical modeling and circuit realization. These systems can be categorized as either continuous or discrete. Continuous chaotic systems, such as the Lorenz system, Rössler system, and Chua circuit (CC), are governed by nonlinear differential equations. On the other side, the discrete chaotic system involves Logistic map and Henon map, which utilize nonlinear difference equations. The presence of nonlinear terms like polynomial, exponential, coupled nonlinearities and few more contributes the complexity and sensitivity of these systems. The practical realization of chaotic systems in electronic circuits is challenging task due to their high sensitivity to component variations, requires precise tuning and high-quality components for better implementation. newline