Resumen de The Periodic Orbits of a Dynamical System Associated with a Family of QRT-Maps

Guy Bastien, Marc Rogalski

• We study the QRT-maps associated with the family of biquadratic curves Cd(K) with equations x2y2-dxy-1+K(x2+y2)=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.