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Discretization of Homoclinic Orbits Rapid Forcing and Invisible Chaos Book PDF Summary

Numerically speaking, continuous time dynamical systems do not exist. Rather, a discretized version is studied and interpreted in analogy to the continuous time dynamical system. Over fixed finite time intervals, this analogy is quite close and well understood in terms of discretization errors and sophisticated discretization schemes. Over large or infinite time intervals, this analogy is not so clear, because discretization errors tend to accumulate exponentially with time. In this paper, we specifically investigate the correspondence between continuous and discrete time dynamical systems for homoclinic orbits. By definition, these are orbits which tend to the same stationary point for both large positive and large negative times.

Detail Book of Discretization of Homoclinic Orbits Rapid Forcing and Invisible Chaos PDF

Discretization of Homoclinic Orbits  Rapid Forcing and   Invisible   Chaos
  • Author : Bernold Fiedler
  • Release : 23 September 1996
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821804681
  • Genre : Mathematics
  • Total Page : 94 pages
  • Language : English
  • PDF File Size : 12,6 Mb

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