Cosenza Mario G., Kapral Raymond
Chemical Physics Theory Group, Department of Chemistry, University of Toronto, Toronto, Ontario M5S 1A1, Canada.
Chaos. 1992 Jul;2(3):329-335. doi: 10.1063/1.165875.
The bifurcation structure of coupled maps on the Sierpinski gasket is investigated. The fractal character of the underlying lattice gives rise to stability boundaries for the periodic synchronized states with unusual features and spatially inhomogeneous states with a complex structure. The results are illustrated by calculations on coupled quadratic and cubic maps. For the coupled cubic map lattice bistability and domain growth processes are studied.
研究了谢尔宾斯基垫片上耦合映射的分岔结构。底层晶格的分形特征导致了具有异常特征的周期同步态和具有复杂结构的空间非均匀态的稳定性边界。通过对耦合二次映射和三次映射的计算来说明结果。对于耦合三次映射晶格，研究了双稳性和畴生长过程。
