1998/12/01 by Tatsuo Shibata, Tsuyoshi Chawanya, Kunihiko Kaneko · 2 citations
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Nonlinear Dynamics and Pattern Formation #Theoretical and Computational Physics #chao-dyn #nlin.CD
paper · pdf · doi:10.1103/physrevlett.82.4424
9 pages RevTex file and 4 postscript figures
arxiv created 1998/12/01 · openalex publication_date 1999/05/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider the effect of microscopic external noise on the collective motion of a globally coupled map in fully desynchronized states. Without the external noise a macroscopic variable shows high-dimensional chaos distinguishable from random motions. With the increase of external noise intensity, the collective motion is successively simplified. The number of effective degrees of freedom in the collective motion is found to decrease as \ensuremath-log\ensuremathσ2 with the external noise variance \ensuremathσ2. It is shown how the microscopic noise can suppress the number of degrees of freedom at a macroscopic level.