Extending and generalizing the results of rational equations, Dynamics of Third Order
Rational Difference Equations with Open Problems and Conjectures focuses on the …

In this paper we consider dynamical systems generated by a diffeomorphism F defined on U
an open subset of Rn, and give conditions over F which imply that their dynamics can be …

Full article: On second-order rational difference equations, part 1 Skip to Main Content Taylor
and Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart …

We study the iteration of the family of maps given by 3-step linear fractional recurrences.
This family was studied earlier from the point of view of finding periodicities. In this paper we …

Consider a family of planar systems x˙= X (x, ε) having a center at the origin and assume that
for ε= 0 they have an isochronous center. Firstly, we give an explicit formula for the first order …

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 describe the sequences given by the non-autonomous second-order Lyness difference
equations, where is either a 2-periodic or a 3-periodic sequence of positive values and the …

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 …

Open Problems and Conjectures Edited by Gerry Ladas In this section, we present some
open problems and conjectures about some interesting types of difference equations …

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