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Replication of Chaos in Neural Networks, Economics and Physics
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The book comprises detailed descriptions of chaos for continuous-time systems. One of its unique features is its consideration of chaos as an input for differential and hybrid equations. Chaotic sets and chaotic functions are considered as inputs for systems with asymptotically stable equilibrium points or limit cycles. The findings strongly suggest that the theory of chaos can stem from the theory of differential equations to a greater degree than previously thought. The approach of the book is useful for an in-depth analysis of different types of chaos. The appearance of deterministic chaos in neural networks, economics and mechanical systems is discussed theoretically and supported by simulations. The book is suitable for mathematicians, physicists, engineers and economists studying nonlinear chaotic dynamics.
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