Replication of Chaos in Neural Networks, Economics and Physics

Nonfiction, Science & Nature, Science, Physics, Chaotic Behavior, Mathematics, Mathematical Analysis
Cover of the book Replication of Chaos in Neural Networks, Economics and Physics by Mehmet Onur Fen, Marat Akhmet, Springer Berlin Heidelberg
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Author: Mehmet Onur Fen, Marat Akhmet ISBN: 9783662475003
Publisher: Springer Berlin Heidelberg Publication: August 13, 2015
Imprint: Springer Language: English
Author: Mehmet Onur Fen, Marat Akhmet
ISBN: 9783662475003
Publisher: Springer Berlin Heidelberg
Publication: August 13, 2015
Imprint: Springer
Language: English

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.

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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.

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