Low-dimensional paradigms for high-dimensional hetero-chaos.

  title={Low-dimensional paradigms for high-dimensional hetero-chaos.},
  author={Yoshitaka Saiki and Miguel A. F. Sanju{\'a}n and James A. Yorke},
  volume={28 10},
The dynamics on a chaotic attractor can be quite heterogeneous, being much more unstable in some regions than others. Some regions of a chaotic attractor can be expanding in more dimensions than other regions. Imagine a situation where two such regions and each contains trajectories that stay in the region for all time-while typical trajectories wander throughout the attractor. Furthermore, if arbitrarily close to each point of the attractor there are points on periodic orbits that have… Expand
5 Citations
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  • A. Gritsun
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  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2013
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