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The mappings

A model mapping which we shall consider consists of a piecewise linear system on the interval (0,1) with 4 straight line sections. The system is sketched in Figure 1 Inside the centrally placed square box of side tex2html_wrap_inline328 (which we term The region of the Feature) is placed a Feature, which can be either a trap or a snag. The size of the Feature and its region can be made arbitrarily small. The mapping is described mathematically by the following set of equations:-

equation21

Here, F(x) is the mapping of the Feature, which is discussed below.

   figure50
Figure 1: The mapping containing the Feature.



D.Jefferies@ee.surrey.ac.uk
May 1997