Microextensive chaos of a spatially extended system.

@article{Tajima2002MicroextensiveCO,
  title={Microextensive chaos of a spatially extended system.},
  author={Shigeyuki Tajima and Henry S. Greenside},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2002},
  volume={66 1 Pt 2},
  pages={
          017205
        }
}
By analyzing chaotic states of the one-dimensional Kuramoto-Sivashinsky equation for system sizes L in the range 79 < or = L < or = 93, we show that the Lyapunov fractal dimension D scales microextensively, increasing linearly with L even for increments Delta L that are small compared to the average cell size of 9 and to various correlation lengths. This suggests that a spatially homogeneous chaotic system does not have to increase its size by some characteristic amount to increase its… CONTINUE READING
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