Microextensive chaos of a spatially extended system.
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.
Tajima
Shigeyuki
S
Department of Physics, Duke University, Durham, North Carolina 27708-0305, USA.
Greenside
Henry S
HS