Linear Fractional p-Adic and Adelic Dynamical Systems

  title={Linear Fractional p-Adic and Adelic Dynamical Systems},
  author={Branko Dragovich and Andrei Khrennikov and Du{\vs}an Mihajlovi{\'c}},
Using an adelic approach we simultaneously consider real and padic aspects of dynamical systems whose states are mapped by linear fractional transformations isomorphic to some subgroups of GL(2, Q), SL(2, Q) and SL(2, Z) groups. In particular, we investigate behavior of these adelic systems when fixed points are rational. It is shown that any of these rational fixed points is p-adic indifferent for all but a finite set of primes. Thus only for finite number of p-adic cases a rational fixed… CONTINUE READING