OOIR: Observatory of International Research

Papers

(The TQCC of Journal of Difference Equations and Applications is 2. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-02-01 to 2025-02-01.)

Article	Citations
Polynomial continued fractions for exp(π)	22
Gosper–type sums with reciprocals of binomial coefficients of the form (3n+ϵn)	16
On the stability of delayed linear discrete-time systems with periodic coefficients	13
A higher order implicit adaptive finite point method for the Burgers' equation	13
The new notion of Bohl dichotomy for non-autonomous difference equations and its relation to exponential dichotomy	12
The convergence of two linearized finite difference schemes for the modified phase field crystal equation	10
Chaos theory, complexity theory, catastrophe theory, and the enigmatic concept of chaoplexity Chaos theory, complexity theory, catastrophe theory, and the enigmatic concept of chaoplexi	10
Mathematical modelling and nonstandard finite scheme analysis for an Ebola model transmission with information and voluntary isolation	10
Continuous and discontinuous piecewise-smooth one-dimensional maps. Invariant sets and bifurcation structures	8
Border collision bifurcations in a piecewise linear duopoly model	8
Increasing solutions of simultaneous Poincaré equations	8
Dynamic game model for R&D strategy in high-tech enterprises	8
Examining the influence of prey dynamics on predator–prey interactions	7
The impact of dispersal and allee effects on tick invasion: a spatially-explicit discrete-time modelling approach	7
Ramanujan-inspired series for 1/π involving harmonic numbers	7
Delay-dependent set-invariance for linear difference equations with multiple delays: a polyhedral approach	7
Two kinds of analytical solutions to Feigenbaum–Kadanoff–Shenker equation	7
The evolutionary stability of partial migration with Allee effects	7
Border-collision bifurcations from stable fixed points to any number of coexisting chaotic attractors	7
Global exponential stability of discrete-time Hopfield neural network models with unbounded delays	6
A Fibonacci type sequence with Prouhet–Thue–Morse coefficients	6
Indeterminate moment problem associated with continuous dual q-Hahn polynomials	6
Global behaviour of a class of discrete epidemiological SI models with constant recruitment of susceptibles	6
Monotone continuous solutions of an equation in linear combination of alternative iterates	6
Geometric limits of mixed families	6

Entire functions of slow growth whose Julia set contains any infinite collection of quasiconformal copies of polynomial Julia sets	6
Optimal placement of sensor and actuator for controlling the piecewise linear Chua circuit via a discretized controller	5
Some novel exact and non-standard finite difference schemes for a class of diffusion–advection–reaction equation	5
A note on a q -difference equation related to Riccati equations	5
On the quasi-hyperbolic regime in a certain family of 2-D piecewise linear maps	5
Strongly convex solutions of a polynomial-like iterative equation with variable coefficients	5
An elementary approach to solve recursions relative to the enumeration of S-Motzkin paths	5
Chaotic attractors of discrete dynamical systems used in the core of evolutionary algorithms: state of art and perspectives	5
Structural graph and backward asymptotics of tent-like unimodal maps	5
Controlled two-dimensional Markov chains between two absorbing barriers	5
Random attractors for multi-valued multi-stochastic delayed p-Laplace lattice equations	4
Packing measure and dimension of the limit sets of IFSs of generalized complex continued fractions	4
An analysis of polynomial sequences and their application to discrete fractional operators	4
Aθ-finite difference scheme based on cubic B-spline quasi-interpolation for the time fractional Cattaneo equation with Caputo–Fabrizio operator	4
A class of new successive permutation iterative algorithms for diffusion equation	4
A current-value Hamiltonian approach to discrete-time optimal control problems in economic growth theory	4
Well-posedness and dynamics of double time-delayed lattice FitzHugh–Nagumo systems	4
On the dynamics of non-Volterra quadratic operators corresponding to permutations	4
From Boolean networks to linear dynamical systems: a simplified route	4
Hypergeometric series and generalized harmonic numbers	4
Random exponential attractor for a non-autonomous Zakharov lattice system with multiplicative white noise	4
Wolbachia spread dynamics in mosquito populations in cyclic environments	4
Dynamics of quadratic stochastic operators generated by China's five element philosophy	4
Statistical self-similarity in Lozi and Hénon's strange attractors	4
Weighted pseudo asymptotically antiperiodic sequential solutions to semilinear difference equations	4
Retraction: Research on closed-loop supply chain coordination control model based on difference equation load model	3
The SEIR Covid-19 model described by fractional-order difference equations: analysis and application with real data in Brazil	3
Multi-transitivity of semigroup actions	3
Visibility in restricted involutions	3
On the ω-multiple Meixner polynomials of the second kind	3
Variational principle for nonlinear weighted topological pressure	3
The dynamics of one-dimensional quasi-affine maps	3
A transitive homeomorphism on the Lelek fan	3
Dynamics of q deformed Ricker map	3
Bifurcation analysis of a piecewise-smooth Ricker map with proportional threshold harvesting	3
Symmetric solutions to symmetric partial difference equations	3
1:4 resonance, Arnold tongues and Marotto's chaos of a discrete reduced Lorenz system	3
A three-level implicit difference scheme for solving the inviscid Burgers' equation with time delay	3
Discrete Kirchhoff equations with sign-changing coefficients	3
Topological conjugacy for multifunctions with finitely many set-valued points and an application to iterative roots	3
Polynomial solutions to the first order difference equations in the bivariate difference field	3
Five classes of pattern avoiding inversion sequences under one roof: generating trees	3
Cantor and connected Julia sets of the parameterized Dixon elliptic functions	3
On the use of chaotic dynamics for mobile network design and analysis: towards a trace data generator	3
On existence and uniqueness of a modified carrying simplex for discrete Kolmogorov systems	3
A high accuracy compact semi-constant mesh off-step discretization in exponential form for the solution of non-linear elliptic boundary value problems	3
The paths of nine mathematicians to the realm of dynamical systems	3
On partially periodic point free self-maps on the wedge sums of spheres	3
On two-term hypergeometric recursions with free lower parameters	3
An exact finite difference scheme for a three-layer beam model	3

Emission charge controllability in Cournot duopoly: static and dynamic effects	3
Annealed central limit theorem for a class of contractive random dynamical systems	3
Unilateral global structure for discrete Dirichlet problem with Minkowski-curvature operator	3
Two variable Freud orthogonal polynomials and matrix Painlevé-type difference equations	3
A higher-dimensional generalization of the Lozi map: bifurcations and dynamics	3
Limit cycles of piecewise smooth differential systems of the type nonlinear centre and saddle	3
Applications of rational difference equations to spectral graph theory	2
Characterizations of topological dynamical IP* sets	2
Evolution of dispersal by memory and learning in integrodifference equation models	2
A generalized family of transcendental functions with one dimensional Julia sets	2
Stability of a stochastic discrete SIS epidemic model with general nonlinear incidence rate	2
A numerical method for solving hyperbolic partial differential equations with piecewise constant arguments and variable coefficients	2
Mathematical model of measles transmission dynamics using real data from Nigeria	2
Statement of retraction: A generalized real option pricing method of R&D investments: jump diffusion and external competition	2
Discrete networked dynamic systems with mode separation: state and output synchronization	2
Asymptotically autonomous robustness of random attractors for the stochastic wave lattice equations with random viscosity	2
Matrix similarity transformations derived from extended q-analogues of the Toda equation and Lotka–Volterra system	2
Scrambled sets and chain recurrence points of generic graph maps	2
Foreword to the special issue of Journal of Difference Equations and Applications on ‘Invertible and Noninvertible Maps: Theory and Applications’	2
Global asymptotic stability of evolutionary periodic Ricker competition models	2
A higher order compact numerical approach for singularly perturbed parabolic problem with retarded term	2
Oscillations of deviating difference equations with continuous time and oscillatory coefficients	2
On the exact and numerical complex travelling wave solution to the nonlinear Schrödinger equation	2
On discrete coherent pairs of measures	2
On the continuity of Bohl exponents	2
Second-order parameter-uniform finite difference scheme for singularly perturbed parabolic problem with a boundary turning point	2
Topological entropy of induced spaces for an iterated function system	2
Nonstandard finite difference methods for a convective predator-prey pursuit and evasion model	2
An efficient finite difference method for coupled systems of singularly perturbed parabolic convection-diffusion problems	2
Degenerate Neimark–Sacker bifurcation of a second-order rational difference equation	2
Communication dynamics of a two-agent interaction model with applications to human-autonomy teaming	2
Research on actual or industrial applications of difference equations: a chimerical task?	2
K-symbol fractional order discrete-time models of Lozi system	2
Discrete diffusion-type equation on regular graphs and its applications	2
Limit periodic perturbations of difference systems with coefficients from commutative groups	2
On the dynamics of cubic polynomials	2
A weighted extension of Fibonacci numbers	2
Method for predicting the lost input of iterative learning control systems over AWGN channels	2
Stability of stochastic difference equations with multiplicative and additive fading noise	2
A unimodal sequence with mode at a quarter length	2
Generalized discrete and ultradiscrete Burgers equations derived through the correlated random walk	2