12 citations · 41 across the 20 of their papers we have counts for
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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…
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…
Periodic and Non-Periodic Solutions of a Ricker-type Second-Order Equation with Periodic Parameters
N. Lazaryan, H. Sedaghat
We study the dynamics of the positive solutions of a second-order, Ricker-type exponential difference equation with periodic parameters. We find that qualitatively different dynami…
Extinction, periodicity and multistability in a Ricker Model of Stage-Structured Populations
N. Lazaryan, H. Sedaghat
We study the dynamics of a second-order difference equation that is derived from a planar Ricker model of two-stage (e.g. adult, juvenile) biological populations. We obtain suffici…