Journal of Research in Electrical Circuits and Systems ISSN: 3139-2059 (Online)

Abstract

Chaotic circuits are nonlinear dynamical systems that exhibit deterministic but unpredictable behavior. They are widely used in secure communications, random number generation, signal encryption, and nonlinear control systems. Accurate modeling of chaotic circuits is essential for understanding their behavior, designing practical implementations, and exploring novel applications. This paper provides a comprehensive review of modeling techniques for chaotic circuits, including differential equation-based modeling, discrete-time maps, and SPICE-level simulations. Various applications of chaotic circuits are also discussed, highlighting their role in modern communication, encryption, and sensing systems. Tables summarize typical chaotic circuit types, parameters, and applications, while a 2D figure illustrates the simulation and modeling framework. Challenges such as sensitivity to initial conditions, parameter variations, and hardware implementation constraints are addressed.

Keywords: Chaotic circuits, Nonlinear dynamics, Secure communications, Random number generation, SPICE simulation, Chaos-based encryption