Efficient manifolds tracing for planar maps.

  title={Efficient manifolds tracing for planar maps.},
  author={David Ciro and Iber{\^e} Luiz Caldas and Ricardo Luiz Viana and Todd E Evans},
  volume={28 9},
In this work, we introduce an exact calculation method and an approximation technique for tracing the invariant manifolds of unstable periodic orbits of planar maps. The exact method relies on an adaptive refinement procedure that prevents redundant calculations occurring in other approaches, and the approximated method relies on a novel interpolation approach based on normal displacement functions. The resulting approximated manifold is precise when compared to the exact one, and its relative… 

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