Spatiotemporal intermittency on fractal lattices |
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| Authors: | Cosenza Mario G Kapral Raymond |
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| Institution: | Postgrado de Astronomia y Astrofisica, Facultad de Ciencias, Universidad de Los Andes, Apartado No. 26, Ipostel La Hechicera, Merida 5251, VenezuelaChemical Physics Theory Group, Department of Chemistry, University of Toronto, Toronto M5S 1A1, Canada. |
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| Abstract: | 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. |
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