FORMATION AND PROPAGATION OF BANDS IN JERKY FLOW - A COUPLED LATTICE MAP DESCRIPTION

There has been revival of interest in Jerky flow from the point of vie w of dynamical systems. The earliest attempt in this direction was fro m our group. One of the predictions of the theory is that Jerky flow c ould be chaotic. This has been recently verified by us. We have recent ly extended the earlier model to account for the spatial aspect as wel l. Both these models are in the form of coupled set of nonlinear diffe rential equations and hence, they are complicated in their structure. For this reason we wish to devise a model based on the results of thes e two theories in the form of coupled lattice map for the description of the formation and propagation of dislocation bands. We report here one such model and its results.