Nonlinear Discrete Dynamical Systems

Stephen Lynch
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Stephen Lynch: Manchester Metropolitan University School of Computing, Mathematics & Digital Technology, Department of Computing and Mathematics

Chapter Chapter 3 in Dynamical Systems with Applications using MATLAB®, 2014, pp 33-65 from Springer

Abstract: Abstract Aims and Objectives • To introduce nonlinear one- and two-dimensional iterated maps. • To investigate period-doubling bifurcations to chaos. • To introduce the notion of universality. On completion of this chapter, the reader should be able to • produce graphical iterations of one-dimensional iterated maps; • test whether or not certain systems are chaotic; • plot bifurcation diagrams; • apply some of the theory to model simple problems from biology, economics, neural networks, nonlinear optics, and population dynamics.

Keywords: Lyapunov Exponent; Bifurcation Diagram; Chaotic Attractor; Gross National Product; Discrete Dynamical System (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-06820-6_3

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DOI: 10.1007/978-3-319-06820-6_3

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