Ordinal Structure of the Signed Shifts

  • José María AmigóEmail author
Part of the Springer Series in Synergetics book series (SSSYN)


Shift transformations are a special case of a more general family: signed shift transformations—a sort of state-dependent shifts. The tent map is the simplest and perhaps most popular representative of the signed shifts. In this chapter we are going to show that most of the results on the ordinal structure of the shifts can be generalized to the signed shifts. By order isomorphy, these results apply also to more interesting cases, like the signed sawtooth maps.


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  1. 17.
    J.M. Amigó, The ordinal structure of the signed shift transformations, International Journal of Bifurcation and Chaos 19 (2009) 3311–3327.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Centro de Investigacion OperativaUniversidad Miguel HernandezElcheSpain

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