2 papers
math.DS2008
Dynamics of birational plane mappings. The Arnold complexity difference equation
Konstantin V. Rerikh
We consider a dynamics of a generic birational plane map Φ_n: CP^2 \to CP^2, CP^2 -image of the birational mapping (inverse map is also rational)F_n : C^2 \to C^2 and its such impo…
nlin.SI2008
General solution of functional equations defined by generic linear-fractional mappings F_1: C^N \to C^N and by generic maps birationally equivalent to F_1
Konstantin V. Rerikh
We consider a system of birational functional equations (BFEs) (or finite-difference equations at w=m \in Z) for functions y(w) of the form: y(w+1)=F_n(y(w)), y(w):C \to C^N, n=deg…