Publications [#4435] of Henry Greenside
Papers Published
- Shigeyuki Tajima and Henry S. Greenside, Microextensive chaos of a spatially extended system,
Physical Review E, vol. 66
(January, 2002),
pp. 017205 [GetPDFServlet]
(last updated on 2003/01/05)Abstract:
By analyzing chaotic states of the one-dimensional Kuramoto-Sivashinsky equation for system sizes~$L$ in the range~$79 \le L \le 93$, we show that the Lyapunov fractal dimension~$D$ scales {\em microextensively}, increasing linearly with~$L$ even for increments~$\DeltaL$ 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.