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.
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Lynch, S. (2014). Three-Dimensional Autonomous Systems and Chaos. In: Dynamical Systems with Applications using MATLAB®. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-06820-6_14
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DOI: https://doi.org/10.1007/978-3-319-06820-6_14
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