Abstract
AbstractThe generalized cell mapping method used in solving non‐linear dynamical systems is also a powerful means of determining the state volume in which strange attractors reside. Several methods of refining the size of cells are proposed in this paper. With the aid of these methods it is possible to describe the shape of a strange attractor in however much detail is required. Any part of the cell state space can be enlarged by the suggested zoom technique when the finte structure of this strange attractor is going to be studied. By using the limiting probability distribution calculated from the persistent group, the statistical meaning of the attractor is revealed. Results of examples which were computed on an IBM PC computer show the validity and efficiency of the methods.
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