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

Nonlinear circuits exhibit complex behavior such as chaos, bifurcation, and limit cycles, which have been the subject of much research in electrical systems. This paper investigates the nonlinear dynamics of various circuit topologies, including the Duffing oscillator, Chua's circuit, and Van der Pol oscillator. The study explores how different parameters influence the emergence of chaotic behavior, with a focus on bifurcation diagrams and Lyapunov exponents. Extensive simulations are carried out using advanced circuit simulation software. The findings show that nonlinear components, such as diodes and transistors, introduce a wealth of dynamical phenomena that can be exploited for signal processing, secure communication, and random number generation. The results are validated through experimental circuits, highlighting practical applications of chaos in electrical engineering.

Keywords: Nonlinear circuits, chaos, bifurcation, Lyapunov exponent, Duffing oscillator