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

  • To extend the theory of linear systems to that of nonlinear systems.


Vector Field Phase Portrait Planar System Unstable Manifold Stable Manifold 
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Recommended Textbooks

  1. 1.
    J. H. Liu, A First Course in the Qualitative Theory of Differential Equations, Prentice—Hall, Upper Saddle River, NJ, 2002.Google Scholar
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    D. W. Jordan and P. Smith, Nonlinear Ordinary Differential Equations, 3 rd ed., Oxford University Press, London, 1999.MATHGoogle Scholar
  3. 3.
    B. West, S. Strogatz, J. M. McDill, J. Cantwell, and H. Holn, Interactive Differential Equations, Version 2.0, Addison—Wesley, Reading, MA, 1997.Google Scholar
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    E. J. Kostelich and D. Armbruster, Introductory Differential Equations, Addison—Wesley, 1997.Google Scholar
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    J. Cronin, Differential Equations: Introduction and Qualitative Theory, 2nd ed., Marcel Dekker, New York, 1994.MATHGoogle Scholar
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    D. K. Arrowsmith and C. M. Place, Dynamical Systems, Chapman and Hall, London, 1992.CrossRefMATHGoogle Scholar
  7. 7.
    P. Hartman, Ordinary Differential Equations, Wiley, New York, 1964.MATHGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

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

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