THE PERIODIC ORBITS OF A DYNAMICAL SYSTEM ASSOCIATED WITH A FAMILY OF QRT-MAPS
Résumé
We study the QRT-maps associated with the family of biquadratic curves C d (K) with equations x 2 y 2 − dxy − 1 + K(x 2 + y 2) = 0. With the Prime Number Theorem and the geometry of elliptic cubics we determine the periods of periodic orbits of the dynamical systems defined by these QRT-maps, and prove sensitivity to its initial conditions.
Domaines
Mathématiques [math]
Origine : Fichiers produits par l'(les) auteur(s)
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