04518nam 22008295 450 991025462540332120200707010430.03-662-47500-610.1007/978-3-662-47500-3(CKB)3710000000463532(EBL)3568324(SSID)ssj0001546900(PQKBManifestationID)16140968(PQKBTitleCode)TC0001546900(PQKBWorkID)14796003(PQKB)11574944(DE-He213)978-3-662-47500-3(MiAaPQ)EBC3568324(PPN)258859512(PPN)188462104(EXLCZ)99371000000046353220150813d2016 u| 0engur|n|---|||||txtccrReplication of Chaos in Neural Networks, Economics and Physics /by Marat Akhmet, Mehmet Onur Fen1st ed. 2016.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2016.1 online resource (468 p.)Nonlinear Physical Science,1867-8440Description based upon print version of record.3-662-47499-9 Includes bibliographical references at the end of each chapters.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.Nonlinear Physical Science,1867-8440Statistical physicsDifference equationsFunctional equationsMechanicsMechanics, AppliedEconomic theoryBiomathematicsApplications of Nonlinear Dynamics and Chaos Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/P33020Difference and Functional Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12031Theoretical and Applied Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/T15001Economic Theory/Quantitative Economics/Mathematical Methodshttps://scigraph.springernature.com/ontologies/product-market-codes/W29000Mathematical and Computational Biologyhttps://scigraph.springernature.com/ontologies/product-market-codes/M31000Statistical physics.Difference equations.Functional equations.Mechanics.Mechanics, Applied.Economic theory.Biomathematics.Applications of Nonlinear Dynamics and Chaos Theory.Difference and Functional Equations.Theoretical and Applied Mechanics.Economic Theory/Quantitative Economics/Mathematical Methods.Mathematical and Computational Biology.003.857Akhmet Maratauthttp://id.loc.gov/vocabulary/relators/aut478701Fen Mehmet Onurauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910254625403321Replication of Chaos in Neural Networks, Economics and Physics2544873UNINA