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Spatiotemporal intermittency on fractal lattices
Mario G. Cosenza1, Raymond Kapral
1Postgrado 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.
Chaos (Woodbury, N.Y.)
|March 1, 1994
Summary
Researchers studied the transition to turbulence using spatiotemporal intermittency in coupled chaotic maps on fractal lattices. They found intermittency windows in fractal arrays with dimensions greater than two, linked to collective chaotic behavior.
Area of Science:
- Complex Systems
- Nonlinear Dynamics
- Fractal Geometry
Background:
- Spatiotemporal intermittency is a key phenomenon in the transition to chaos.
- Fractal lattices offer unique structures for studying complex system dynamics.
Purpose of the Study:
- Investigate turbulence transition via spatiotemporal intermittency.
- Analyze coupled map dynamics on generalized Sierpinski gaskets.
- Compute critical exponents related to intermittency onset.
Main Methods:
- Utilized coupled maps on deterministic fractal lattices (Sierpinski gaskets).
- Calculated critical exponents as a function of fractal dimension.
- Varied coupling parameters to identify intermittency windows.
Main Results:
- Identified windows of spatiotemporal intermittency for fractal dimensions > 2.
- Observed a correlation between intermittency and collective chaotic behavior.
- Computed critical exponents characterizing the onset of intermittency.
Conclusions:
- Spatiotemporal intermittency occurs in coupled map lattices on Sierpinski gaskets.
- The fractal dimension significantly influences the onset and characteristics of intermittency.
- Collective chaotic dynamics drive intermittency in these fractal systems.