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Replication of Chaos in Neural Networks, Economics and Physics

Replication of Chaos in Neural Networks, Economics and Physics by Marat Akhmet
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This book presents detailed descriptions of chaos for continuous-time systems. It is the first-ever book to consider chaos as an input for differential and hybrid equations. Chaotic sets and chaotic functions are used as inputs for systems with attractors: equilibrium points, cycles and tori. The findings strongly suggest that chaos theory can proceed from the theory of differential equations to a higher level than previously thought. The approach selected is conducive to the 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. As such, the book offers a valuable resource for mathematicians, physicists, engineers and economists studying nonlinear chaotic dynamics.

Springer Berlin Heidelberg; August 2015
468 pages; ISBN 9783662475003
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Title: Replication of Chaos in Neural Networks, Economics and Physics
Author: Marat Akhmet; Mehmet Onur Fen
 
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ISBNs
9783662474990
9783662475003