WAVELENGTH DOUBLING BIFURCATIONS IN COUPLED MAP LATTICES

We report an interesting phenomenon of wavelength doubling bifurcation s in the model of coupled (logistic) map lattices. The temporal and sp atial periods of the observed patterns undergo successive period doubl ing bifurcations with decreasing coupling strength. The universality c onstants alpha and delta appear to be the same as in the case of perio d doubling route to chaos in the uncoupled logistic map. The analysis of the stability matrix shows that period doubling bifurcation occurs when an eigenvalue whose eigenvector has a structure with doubled spat ial period exceeds unity.