Characterization of finite-time Lyapunov exponents and vectors in two-dimensional turbulence.

@article{Lapeyre2002CharacterizationOF,
  title={Characterization of finite-time Lyapunov exponents and vectors in two-dimensional turbulence.},
  author={Guillaume Lapeyre},
  journal={Chaos},
  year={2002},
  volume={12 3},
  pages={
          688-698
        }
}
This paper discusses the application of Lyapunov theory in chaotic systems to the dynamics of tracer gradients in two-dimensional flows. The Lyapunov theory indicates that more attention should be given to the Lyapunov vector orientation. Moreover, the properties of Lyapunov vectors and exponents are explained in light of recent results on tracer gradients dynamics. Differences between the different Lyapunov vectors can be interpreted in terms of competition between the effects of effective… CONTINUE READING
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