Spatiotemporal intermittency on fractal lattices

被引:10
作者
Cosenza, Mario G. [1 ]
Kapral, Raymond [2 ]
机构
[1] Univ Los Andes, Fac Ciencias, Merida 5251, Venezuela
[2] Univ Toronto, Dept Chem, Chem Phys Theory Grp, Toronto, ON M5S 1A1, Canada
关键词
D O I
10.1063/1.166062
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The transition to turbulence via spatiotemporal intermittency is investigated for coupled maps defined on generalized Sierpinski gaskets, a class of deterministic fractal lattices. Critical exponents that characterize the onset of intermittency are computed as a function of the fractal dimension of the lattice. Windows of spatiotemporal intermittency are found as the coupling parameter is varied for lattices with a fractal dimension greater than two. This phenomenon is associated with a collective chaotic behavior of the fractal array of coupled maps.
引用
收藏
页码:99 / 104
页数:6
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