QUALITATIVE-ANALYSIS OF NONLINEAR DYNAMICAL-SYSTEMS

Developments in non-linear dynamics have shown that a variety of non-l inear deterministic systems with no random inputs can produce random-l ike or chaotic motions. However, much computational effort is required to identify and analyse chaotic behaviour. We present a powerful meth odology to simulate and extract the qualitative behaviour of non-linea r systems on a massively parallel Connection Machine. As an example, a simple physical system is analysed to show the effectiveness of the s cheme. It is shown that such an analysis is important for designing ro bust structures.