A Study of Chaos in Nonlinear Electronic Circuits and Applications in Game Theory
DOI:
https://doi.org/10.47611/jsrhs.v12i1.3954Keywords:
chaos, Chua circuit, game theory, Elementary Cellular Automata, Lorenz attractorAbstract
Chaos is a ubiquitous part of daily life. The weather, fractal landscapes, and the double pendulum all embody the notion of chaos. The general concepts and the key characteristics of chaos are explored and manifested in a nonlinear electronic circuit known as the Chua’s circuit. The Chua’s Circuit was built and characterized to illustrate chaos behavior in the form of Lorenz attractors. The circuit chaotic behavior was further demonstrated in a numerical model built in MATLAB. More practical chaos applications in secure communication and game theory are discussed. A case study is presented at the end to apply the chaos concept into the model of the strength of poker hands, which displays properties of a chaotic system and resembles Elementary Cellular Automata (ECA) in the chaos application.
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