title: Microextensive chaos of a spatially extended system.
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.
authors.affiliation: Department of Physics, Duke University, Durham, North Carolina 27708-0305, USA.
authors.forename: Shigeyuki
authors.initials: S
authors.lastname: Tajima
authors.forename: Henry S
authors.initials: HS
authors.lastname: Greenside