2001/06/04 by S. Tajima, Shigeyuki Tajima, Henry Greenside +1
Computer Science · Economics, Econometrics and Finance · Physics and Astronomy · #Chaos control and synchronization #Complex Systems and Dynamics #Complex Systems and Time Series Analysis #Nonlinear Dynamics and Pattern Formation #Theoretical and Computational Physics #nlin.CD #nlin.PS
paper · pdf · doi:10.1103/physreve.66.017205
5 pages including 4 figures. Submitted to PRE
arxiv created 2001/06/04 · openalex publication_date 2009/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/04/28
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.