Transport in time-dependent dynamical systems: finite-time coherent sets.

@article{Froyland2010TransportIT,
  title={Transport in time-dependent dynamical systems: finite-time coherent sets.},
  author={Gary Froyland and Naratip Santitissadeekorn and Adam H. Monahan},
  journal={Chaos},
  year={2010},
  volume={20 4},
  pages={043116}
}
We study the transport properties of nonautonomous chaotic dynamical systems over a finite-time duration. We are particularly interested in those regions that remain coherent and relatively nondispersive over finite periods of time, despite the chaotic nature of the system. We develop a novel probabilistic methodology based upon transfer operators that automatically detect maximally coherent sets. The approach is very simple to implement, requiring only singular vector computations of a matrix… CONTINUE READING

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