Planar Systems


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 


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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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