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Gray codes and 1D quadratic maps

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4 Author(s)
Alvarez, G. ; Inst. de Fisica Aplicada, CSIC, Madrid, Spain ; Romera, M. ; Pastor, G. ; Montoya, F.

The authors show how the symbolic sequences of same period superstable orbits in 1D quadratic maps are ordered according to Gray codes. Next, the Gray ordering number is introduced, in the interval (0, 1), allowing the simultaneous ordering of symbolic sequences of different period superstable orbits. Likewise, it is shown that Gray ordering number manipulation can determine whether or not a given symbolic sequence exists

Published in:

Electronics Letters  (Volume:34 ,  Issue: 13 )