Planar Systems

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

Chapter 2 in Dynamical Systems with Applications using Maple¿, 2010, pp 43-69 from Springer

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: Saddle Point; Phase Portrait; Planar System; Unstable Manifold; Stable Manifold (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/978-0-8176-4605-9_3

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