Replication of chaos in neural networks, economics and physics / Marat Akhmet, Mehmet Onur Fen.

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Replication of chaos in neural networks, economics and physics / Marat Akhmet, Mehmet Onur Fen.

9783662475003 (electronic book)
3662475006 (electronic book)
9783662474990
3662474999

Heidelberg : Springer, 2016.

©2016

English

1 online resource.

10.1007/978-3-662-47500-3 doi

Q172.5.C45

003/.857

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.

Includes bibliographical references.

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Online resource; title from PDF title page (viewed August 18, 2015).

Nonlinear physical science.

Print version: 9783662474990

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