This paper studies non-autonomous Lyness-type recurrences of the form xn+ 2=(an+ xn+
1)/xn, where {an} is ak-periodic sequence of positive numbers with primitive period k. We …

We study the existence of periodic solutions of the nonautonomous periodic Lyness'
recurrence un+ 2=(an+ un+ 1)/un, where {an} n is a cycle with positive values a, b and with …

We consider two types of nonautonomous two-periodic Gumovski–Mira difference
equations. We show that while the corresponding autonomous recurrences are conjugated …

This work deals with non-autonomous Lyness type recurrences of the form x n+ 2= a n+ x n+
1 xn, where {an} n is a k-periodic sequence of complex numbers with minimal period k. We …

We study in the biquadratic system of two order one difference equations for some values of
the parameters. We show that there is an invariant function G, and so that the orbit of a point …

We present three alternative methodologies to find continua of periodic points with a
prescribed period for rational maps having rational first integrals. The first two have been …

Dynamical Classication of some Birational Maps of C Page 1 Supervised by Dr. Anna
Cima Sundus Zafar Dynamical Classication of some Birational Maps of C 2 Page 2 …

In this study, we consider a special case of the family of birational maps f: C 2→ C 2, which
were dynamically classified by [13]. We identify the zero entropy subfamilies of f and …

We prove that the level curves of some differentiable functions of two variables with unique
critical point are diffeomorphic to the circle ${\mathbb T} $, and show how this result can be …

This work dynamically classifies a 9-parametric family of birational maps f: C^ 2 → C^ 2 f: C
2→ C 2. From the sequence of the degrees d_n dn of the iterates of f, we find the dynamical …