Replication of Chaos in Neural Networks, Economics and Physics Introduction

Date

2016-01-01

Author

Akhmet, Marat
Fen, Mehmet Onur

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URI

https://hdl.handle.net/11511/99173

Journal

REPLICATION OF CHAOS IN NEURAL NETWORKS, ECONOMICS AND PHYSICS

DOI

https://doi.org/10.1007/978-3-662-47500-3_1

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Department of Mathematics, Article

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Replication of Chaos in Neural Networks, Economics and Physics Preface Akhmet, Marat; Fen, Mehmet Onur (2016-01-01)
Replication of chaos in neural networks, economics and physics Akhmet, Marat (Springer, London/Berlin , 2016-12-01) 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 ...
Replication of chaos Akhmet, Marat (Elsevier BV, 2013-10-01) We propose a rigorous method for replication of chaos from a prior one to systems with large dimensions. Extension of the formal properties and features of a complex motion can be observed such that ingredients of chaos united as known types of chaos, Devaney's, Li-Yorke and obtained through period-doubling cascade. This is true for other appearances of chaos: intermittency, structure of the chaotic attractor, its fractal dimension, form of the bifurcation diagram, the spectra of Lyapunov exponents, etc. Th...
Replication of Continuous Chaos About Equilibria Akhmet, Marat; Fen, Mehmet Onur (2016-01-01)
Inversion of linear time-invariant systems. Emre, Erol; Department of Electrical Engineering (1974)

Citation Formats

M. Akhmet and M. O. Fen, “Replication of Chaos in Neural Networks, Economics and Physics Introduction,” REPLICATION OF CHAOS IN NEURAL NETWORKS, ECONOMICS AND PHYSICS, pp. 1–32, 2016, Accessed: 00, 2022. [Online]. Available: https://hdl.handle.net/11511/99173.