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Space-time renormalization at the onset of spatio-temporal chaos in coupled maps
Preben Alstrom1, Dimitris Stassinopoulos
1Physics Laboratory, H. C. Orsted Institute, Universitetsparken 5, DK-2100 Copenhagen O, Denmark.
Chaos (Woodbury, N.Y.)
|July 1, 1992
Abstract:
The transition regime to spatio-temporal chaos via the quasiperiodic route as well as the period-doubling route is examined for coupled-map lattices. Space-time renormalization-group analysis is carried out and the scaling exponents for the coherence length, the Lyapunov exponent, and the size of the phase fluctuations are determined. Universality classes for the different types of coupling at various routes to chaos are identified.