Thirty years of turnstiles and transport.

@article{Meiss2015ThirtyYO,
  title={Thirty years of turnstiles and transport.},
  author={James D. Meiss},
  journal={Chaos},
  year={2015},
  volume={25 9},
  pages={
          097602
        }
}
  • J. Meiss
  • Published 18 January 2015
  • Mathematics
  • Chaos
To characterize transport in a deterministic dynamical system is to compute exit time distributions from regions or transition time distributions between regions in phase space. This paper surveys the considerable progress on this problem over the past thirty years. Primary measures of transport for volume-preserving maps include the exiting and incoming fluxes to a region. For area-preserving maps, transport is impeded by curves formed from invariant manifolds that form partial barriers, e.g… 

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