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PERIODIC ORBITS OF QUADRATIC POLYNOMIALS

Published online by Cambridge University Press:  20 September 2006

TIMO ERKAMA
TIMO ERKAMA
Affiliation:
University of Joensuu, FIN-80101 Joensuu, Finlandtimo.erkama@joensuu.fi
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Abstract

It is known that quadratic polynomials do not have real rational orbits of period four. By using a two-dimensional model for the quadratic family, this result is generalized for complex rational orbits.

Keywords

30D05 (primary)11G30 (secondary)
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 38 , Issue 5 , October 2006 , pp. 804 - 814
Copyright
© The London Mathematical Society 2006

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