Differential Geometry Perspective of Shape Coherence and Curvature Evolution by Finite-Time Nonhyperbolic Splitting

@article{Ma2014DifferentialGP,
  title={Differential Geometry Perspective of Shape Coherence and Curvature Evolution by Finite-Time Nonhyperbolic Splitting},
  author={Tian Ma and Erik M. Bollt},
  journal={SIAM J. Applied Dynamical Systems},
  year={2014},
  volume={13},
  pages={1106-1136}
}
Mixing and coherence are essential topics for understanding and describing transport in fluid dynamics and other nonautonomous dynamical systems. Only recently has the idea of coherence gained more serious footing, particularly with the recent advances of finite-time studies of nonautonomous dynamical systems. Here we define shape coherent sets as a means to emphasize the intuitive notion of ensembles which “hold together” for some period of time, and we contrast this notion to other recent… CONTINUE READING

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