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Replication of chaos in neural netwo...

Akhmet, Marat.

Replication of chaos in neural networks, economics and physics

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Replication of chaos in neural networks, economics and physicsby Marat Akhmet, Mehmet Onur Fen.
作者:	Akhmet, Marat.
其他作者:	Fen, Mehmet Onur.
出版者:	Berlin, Heidelberg :Springer Berlin Heidelberg :2016.
面頁冊數:	xv, 457 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Chaotic behavior in systems.
電子資源:	http://dx.doi.org/10.1007/978-3-662-47500-3
ISBN:	9783662475003$q(electronic bk.)

Replication of chaos in neural networks, economics and physics
Akhmet, Marat.

Replication of chaos in neural networks, economics and physics[electronic resource] /by Marat Akhmet, Mehmet Onur Fen. - Berlin, Heidelberg :Springer Berlin Heidelberg :2016. - xv, 457 p. :ill., digital ;24 cm. - Nonlinear physical science,1867-8440. - Nonlinear physical science..

Introduction -- Replication of Continuous Chaos about Equilibria -- Chaos Extension in Hyperbolic Systems -- Entrainment by Chaos -- Chaotification of Impulsive Systems by Perturbations -- Chaos Generation in Continuous/Discrete-Time Models -- Economic Models with Deterministic Chaos as Generated by Exogenous Continuous/Discrete Shocks -- Replication of Chaos by Neural Networks -- ntrainment by Spatiotemporal Chaos in Glow Discharge-Semiconductor Systems.

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.

ISBN: 9783662475003$q(electronic bk.)

Standard No.: 10.1007/978-3-662-47500-3doiSubjects--Topical Terms:

182904
Chaotic behavior in systems.

LC Class. No.: Q172.5.C45

Dewey Class. No.: 003.857

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505 0 $a Introduction -- Replication of Continuous Chaos about Equilibria -- Chaos Extension in Hyperbolic Systems -- Entrainment by Chaos -- Chaotification of Impulsive Systems by Perturbations -- Chaos Generation in Continuous/Discrete-Time Models -- Economic Models with Deterministic Chaos as Generated by Exogenous Continuous/Discrete Shocks -- Replication of Chaos by Neural Networks -- ntrainment by Spatiotemporal Chaos in Glow Discharge-Semiconductor Systems.
520 $a 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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