Exponential Dichotomy for Asymptotically Hyperbolic Two-Dimensional Linear Systems

نویسندگان

  • Weishi Liu
  • Erik S. Van Vleck
چکیده

We consider the problem of determing the existence of exponential dichotomy for a class of linear nonautonomous ODEs. An approach is introduced that combines numerical techniques with rigorous perturbation theory. It is applicable to a given problem within the class we consider and for practical purposes we develop a continuation technique. Numerical results illustrate the utility of the approach.

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تاریخ انتشار 2007