Disorder of particle chains as a dynamical problem of transition to chaos: Analogy to simulation induced chaos

The problem of the equilibria of particle chains with nearest and next-to-nearest neighbor interaction has been reduced to the dynamical system, given by 4D or 2D web-maps. It is shown that at the same time these maps can represent difference schemes for differential equations used in computational simulation. An analogy between particle disordering, dynamical chaos, and simulation induced chaos is established. © 1994 John Wiley & Sons, Inc.