Nonlinear Systems: Local Theory

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


In Chapter 1 we saw that any linear system
$$ \dot x = Ax $$
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.


Nonlinear System Equilibrium Point Phase Portrait Unstable Manifold Local Theory 
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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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