Nonlinear Discrete Dynamical Systems

Stephen Lynch ()
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Stephen Lynch: Manchester Metropolitan University, Department of Computing and Mathematics

Chapter 12 in Dynamical Systems with Applications using Maple¿, 2010, pp 263-295 from Springer

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 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: Periodic Orbit; Lyapunov Exponent; Bifurcation Diagram; Periodic Point; Chaotic Attractor (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/978-0-8176-4605-9_13

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