ENGLISH

Replication of Chaos in Neural Networks, Economics and Physics

By Marat Akhmet , Mehmet Onur Fen (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2016
ISBN
978-3-662-47499-0, 978-3-662-47500-3, 978-7-04-043102-5
DOI
10.1007/978-3-662-47500-3
Language
english
Format
PDF
Filesize
32 MB (33876534 bytes)
Series
Nonlinear Physical Science
Edition
1
Pages
XV, 457\468
Time added
2016-03-14 21:35:01
Nonlinear Dynamics; Difference and Functional Equa

Description

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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