output
20162025
most citedSolution Form of a Higher Order System of Difference Equation and Dynamical Behavior of Its Special Case

22 citations

6 papers

math.DS2025

Long-Lasting and Slowly Varying Transient Dynamics in Discrete-Time Systems

Anthony Pasion, Felicia Magpantay

Analysis of mathematical models in ecology and epidemiology often focuses on asymptotic dynamics, such as stable equilibria and periodic orbits. However, many systems exhibit long…

math.DS2020★ 5 cited

Numerical Continuation and Bifurcation Analysis in a Harvested Predator-Prey Model with Time Delay using DDE-Biftool

Juancho A. Collera

Time delay has been incorporated in models to reflect certain physical or biological meaning. The theory of delay differential equations (DDEs), which has seen extensive growth in…

q-bio.QM2019

Classification of Single-lead Electrocardiograms: TDA Informed Machine Learning

Paul Samuel Ignacio, David Uminsky, Christopher Dunstan +2

Atrial Fibrillation is a heart condition characterized by erratic heart rhythms caused by chaotic propagation of electrical impulses in the atria, leading to numerous health compli…

astro-ph.EP2018★ 12 cited

OSSOS XII: Variability studies of 65 Trans-Neptunian Objects using the Hyper Suprime-Cam

Mike Alexandersen, Susan D. Benecchi, Ying-Tung Chen +11

We present variability measurements and partial light curves of Trans-Neptunian Objects (TNOs) from a two-night pilot study using Hyper Suprime-Cam (HSC) on the Subaru Telescope (M…

math.NT2016★ 5 cited

On the Closed-Form Solution of a Nonlinear Difference Equation and Another Proof to Sroysang's Conjecture

Julius Fergy T. Rabago

The purpose of this paper is twofold. First, we derive theoretically, using appropriate transformation on , the closed-form solution of the nonlinear difference equation \[ x_…

math.DS2016★ 22 cited

Solution Form of a Higher Order System of Difference Equation and Dynamical Behavior of Its Special Case

Nabila Haddad, Nouressadat Touafek, Julius Fergy T. Rabago

The solution form of the system of nonlinear difference equations \begin{equation*} x_{n+1} = \frac{x_{n-k+1}^{p}y_{n}}{a y_{n-k}^{p}+b y_{n}},\ y_{n+1} = \frac{y_{n-k+1}^{p}x_{n}}…