Planar 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 9 in Dynamical Systems with Applications using MATLAB®, 2014, pp 179-205 from Springer

Abstract: Abstract Aims and Objectives • To introduce the theory of planar autonomous linear differential equations • To extend the theory of linear systems to that of nonlinear systems. On completion of this chapter the reader should be able to • find and classify critical points in the plane; • carry out simple linear transformations; • construct phase plane diagrams using isoclines, vector fields, and eigenvectors; • apply the theory to simple modeling problems

Keywords: Canonical Form; Phase Portrait; Unstable Manifold; Solution Curve; Canonical 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_9

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DOI: 10.1007/978-3-319-06820-6_9

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