Critical Slowing Down in One-Dimensional Maps and Beyond |
| |
Authors: | Bailin Hao |
| |
Affiliation: | (1) T-Life Research Center, Fudan University, Shanghai, 200433, China;(2) Institute of Theoretical Physics, Academia Sinica, Beijing, 100080, China |
| |
Abstract: | This is a brief review on critical slowing down near the Feigenbaum period-doubling bifurcation points and its consequences. The slowing down of numerical convergence leads to an “operational” fractal dimension D=2/3 at a finite order bifurcation point. There is a cross-over to D 0=0.538... when the order goes to infinity, i.e., to the Feigenbaum accumulation point. The problem of whether there exists a “super-scaling” for the dimension spectrum D q W that does not depend on the primitive word W underlying the period-n-tupling sequence seems to remain open |
| |
Keywords: | Period doubling attractor fractal dimension critical slowing down |
本文献已被 SpringerLink 等数据库收录! |
|