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Abstract

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

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

Keywords

Vector Field 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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Recommended Textbooks

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    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
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    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
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    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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