Planar Systems

  • Stephen Lynch

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.


Saddle Point Phase Portrait Planar System Unstable Manifold Stable Manifold 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Birkhäuser Boston 2010

Authors and Affiliations

  1. 1.Department of Computing and MathematicsManchester Metropolitan UniversityManchesterUK

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