Three-Dimensional Autonomous Systems and Chaos

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

Chapter Chapter 14 in Dynamical Systems with Applications using MATLAB®, 2014, pp 283-309 from Springer

Abstract: Abstract Aims and Objectives • To introduce first-order ODEs in three variables • To plot phase portraits and chaotic attractors • To identify chaos On completion of this chapter, the reader should be able to • construct phase portraits for linear systems in three dimensions • use MATLAB to plot phase portraits and time series for nonlinear systems • identify chaotic solutions • interpret the solutions to modeling problems taken from various scientific disciplines, and in particular chemical kinetics, electric circuits, and meteorology.

Keywords: Lyapunov Exponent; Chaotic System; Rayleigh Number; Phase Portrait; Chaotic Attractor (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_14

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DOI: 10.1007/978-3-319-06820-6_14

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