Linear Systems in the Plane

  • Stephen Lynch

Abstract

  • To introduce the theory of planar autonomous linear differential equations.

On completion of this chapter, the reader should be able to
  • classify critical points in the plane;

  • carry out simple linear transformations;

  • construct phase plane diagrams using isoclines, direction fields, and eigen-vectors.

Keywords

Manifold 

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Recommended Textbooks

  1. [1]
    J. Cronin, Differential Equations: Introduction and Qualitative Theory, Second ed., Marcel Dekker, New York, 1994.MATHGoogle Scholar
  2. [2]
    D. K. Arrowsmith and C. M. Place, Dynamical Systems, Chapman and Hall, London, 1992.MATHCrossRefGoogle Scholar
  3. [3]
    D. W. Jordan and P. Smith, Nonlinear Ordinary Differential Equations, Second ed., Oxford University Press, Oxford UK, 1990.Google Scholar

Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Stephen Lynch
    • 1
  1. 1.Department of Computing and MathematicsManchester Metropolitan UniversityManchesterUK

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