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010   $a3-662-47500-6
024 7 $a10.1007/978-3-662-47500-3
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035   $a(PQKBTitleCode)TC0001546900
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035   $a(DE-He213)978-3-662-47500-3
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100   $a20150813d2016      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aReplication of Chaos in Neural Networks, Economics and Physics /$fby Marat Akhmet, Mehmet Onur Fen
205   $a1st ed. 2016.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2016.
215   $a1 online resource (468 p.)
225 1 $aNonlinear Physical Science,$x1867-8440
300   $aDescription based upon print version of record.
311   $a3-662-47499-9 
320   $aIncludes bibliographical references at the end of each chapters.
327   $aIntroduction -- 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.
330   $aThis book presents detailed descriptions of chaos for continuous-time systems. It is the first-ever book to consider chaos as an input for differential and hybrid equations. Chaotic sets and chaotic functions are used as inputs for systems with attractors: equilibrium points, cycles and tori. The findings strongly suggest that chaos theory can proceed from the theory of differential equations to a higher level than previously thought. The approach selected is conducive to the in-depth analysis of different types of chaos. The appearance of deterministic chaos in neural networks, economics and mechanical systems is discussed theoretically and supported by simulations. As such, the book offers a valuable resource for mathematicians, physicists, engineers and economists studying nonlinear chaotic dynamics.
410  0$aNonlinear Physical Science,$x1867-8440
606   $aStatistical physics
606   $aDifference equations
606   $aFunctional equations
606   $aMechanics
606   $aMechanics, Applied
606   $aEconomic theory
606   $aBiomathematics
606   $aApplications of Nonlinear Dynamics and Chaos Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P33020
606   $aDifference and Functional Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12031
606   $aTheoretical and Applied Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15001
606   $aEconomic Theory/Quantitative Economics/Mathematical Methods$3https://scigraph.springernature.com/ontologies/product-market-codes/W29000
606   $aMathematical and Computational Biology$3https://scigraph.springernature.com/ontologies/product-market-codes/M31000
615  0$aStatistical physics.
615  0$aDifference equations.
615  0$aFunctional equations.
615  0$aMechanics.
615  0$aMechanics, Applied.
615  0$aEconomic theory.
615  0$aBiomathematics.
615 14$aApplications of Nonlinear Dynamics and Chaos Theory.
615 24$aDifference and Functional Equations.
615 24$aTheoretical and Applied Mechanics.
615 24$aEconomic Theory/Quantitative Economics/Mathematical Methods.
615 24$aMathematical and Computational Biology.
676   $a003.857
700   $aAkhmet$b Marat$4aut$4http://id.loc.gov/vocabulary/relators/aut$0478701
702   $aFen$b Mehmet Onur$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910254625403321
996   $aReplication of Chaos in Neural Networks, Economics and Physics$92544873
997   $aUNINA