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.
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© 2010 Birkhäuser Boston
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Lynch, S. (2010). Planar Systems. In: Dynamical Systems with Applications using Maple¿. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4605-9_3
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DOI: https://doi.org/10.1007/978-0-8176-4605-9_3
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Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4389-8
Online ISBN: 978-0-8176-4605-9
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