Publications [#246574] of Henry Greenside

Papers Published
  1. Tajima, S; Greenside, HS, Microextensive chaos of a spatially extended system., Physical review. E, Statistical, nonlinear, and soft matter physics, vol. 66 no. 1 Pt 2 (July, 2002), pp. 017205 [GetPDFServlet], [doi] .

    Abstract:
    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 dynamical complexity.

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