Abstract
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To introduce the theory of planar autonomous linear differential equations.
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To extend the theory of linear systems to that of nonlinear systems.
On completion of this chapter, the reader should be able to
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find and classify critical points in the plane;
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carry out simple linear transformations;
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construct phase plane diagrams using nullclines, vector fields, and eigenvectors;
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apply the theory to simple modeling problems.
Basic analytical methods for solving two-dimensional linear autonomous differential equations are reviewed and simple phase portraits are constructed in the plane.
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Lynch, S. (2018). Planar Systems. In: Dynamical Systems with Applications using Python. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-78145-7_3
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DOI: https://doi.org/10.1007/978-3-319-78145-7_3
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