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Nonlinear Systems: Local Theory

  • Lawrence Perko
Part of the Texts in Applied Mathematics book series (TAM, volume 7)

Abstract

In Chapter 1 we saw that any linear system
$$ \dot x = Ax $$
(1)
has a unique solution through each point xo in the phase space R n ; the solution is given by x(t) = e At xo and it is defined for all tR.

Keywords

Nonlinear System Equilibrium Point Phase Portrait Unstable Manifold Local Theory 
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

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Lawrence Perko
    • 1
  1. 1.FlagstaffUSA

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