Shadows, chaos, and saddles

  title={Shadows, chaos, and saddles},
  author={J. M. Sanz-Serna and Stig Larsson},
Abstract Shadowing provides a means for studying the behaviour of numerical methods in long-time integrations. We review the use of shadowing in the simulation of chaos and in the analysis of numerical methods near hyperbolic equilibrium points, such as saddles. 

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