12 citations · 41 across the 20 of their papers we have counts for
20 papers
Dual Nature of Orbits of the Divide-or-Choose 2 Rule: A Quadratic Collatz-type Recursion
Hassan Sedaghat
We obtain a complete characterization of all orbits of a quadratic Collatz-type recursion called the divide-or-choose-2 rule. Each orbit either ends in a cycle whose period depends…
Bounded Orbits of Quadratic Collatz-type Recursions
H. Sedaghat
We characterize all bounded orbits of two similar Collatz-type quadratic mappings of the set of non-negative integers. In one case, where cycles of all possible lengths may occur,…
The periodic integral orbits of polynomial recursions with integer coefficients
Hassan Sedaghat
We show that polynomial recursions where are integers and is positive have no nontrivial periodic integral orbits for . If then the re…
On the Factorization of Nonlinear Recurrences in Modules
H. Sedaghat
For rings R with identity, we define a class of nonlinear higher order recurrences on unitary left R-modules that include linear recurrences as special cases. We obtain conditions…
Extinction and the Allee Effect in an Age-structured Ricker Population Model with Inter-stage Interaction
N. Lazaryan, H. Sedaghat
We study the evolution in discrete time of certain age-structured populations, such as adults and juveniles, with a Ricker fitness function. We determine conditions for the converg…
A Convergence Criterion for the Solutions of Nonlinear Difference Equations and Dynamical Systems
H. Sedaghat
A general sufficient condition for the convergence of subsequences of solutions of non-autonomous, nonlinear difference equations and systems is obtained. For higher order equation…