The Effect of Explosive Divergence in a Coupled Map Lattice of Matrices

The extension of the Coupled map lattice (CML) model by replacing scalar nodal variables by matrix variables is investigated in this paper. The dynamics of the extended CML is investigated using formal analytical and computational techniques. Necessary conditions for the occurrence of the effect of explosive divergence in the extended CML are derived. It is demonstrated that the extended CML can generate complex fractal patterns representing spatiotemporal divergence which can be controlled by the coupling parameter between the nodes.