Study on random and coherence states using a family of CML models

A family of coupled map lattice (CML) models has been developed tosimulate the interaction of convection, diffusion and dispersion inboth weakly and strongly coupled cases. With variation ofparameters, the models can simulate those systems of convectiondominating, diffusion dominating, and dispersion dominating states.Not only coherent and turbulent properties as well as theirinterrelations, but also the transitional state between any modeswith local coupling and global coupling are analysed to demonstratethe essential characteristics of any state. Numerical results showthat the models are capable of simulating both layered coupling andstochastic mechanism, and thus can be conveniently used to analysean initiative and driven coupled system. Results of numericalsimulation also lead us to understand whether or not turbulencecoherent structure is formed by modulation of wave packet. Finally,the duality of wave and particle characters of turbulence isillustrated in the numerical simulation.