Replication of chaos in neural networks, economics and physics

Date

2016-12-01

Author

Akhmet, Marat

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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.

URI

https://hdl.handle.net/11511/83611

Collections

Department of Mathematics, Book / Book chapter

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Citation Formats

M. Akhmet, Replication of chaos in neural networks, economics and physics. 2016.