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Coordinate change eigenvalues for bimodal period doubling renormalisation
Authors:R. S. MacKay   A. A. Pinto  J. B. J. van Zeijts
Affiliation:

a Nonlinear Systems Laboratory, Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK

b Matemática Aplicada, Universidade do Porto, Porto, Portugal

c CEBAF, 12000 Jefferson Avenue, Newport News, VA 23606, USA

Abstract:The coordinate change eigenvalues for the MacKay and van Zeijts period doubling renormalisation operator for bimodal 1 D maps are derived. They are found in numerical computations of the spectrum at all the periodic orbits of renormalisation of period up to five.
Keywords:
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