Targeting chaotic orbits to the Moon through recurrence

@inproceedings{Bollt1995TargetingCO,
  title={Targeting chaotic orbits to the Moon through recurrence},
  author={Erik M. Bollt and James D. Meiss},
  year={1995}
}
Abstract Transport times for a chaotic system are highly sensitive to initial conditions and parameter values. In a previous paper, we presented a technique to find rough orbits (epsilon chains) that achieve a desired transport rapidly. The strategy is to build the epsilon chain from segments of a long orbit — the point is that long orbits have recurrences in neighborhoods where faster orbits must also pass. If a local hyperbolicity condition is satisfied, then a nearby shadow orbit may be… CONTINUE READING

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