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 2021-04-01 to 2025-04-01.)

Article	Citations
Polynomial continued fractions for exp(π)	23
Gosper–type sums with reciprocals of binomial coefficients of the form (3n+ϵn)	13
A higher order implicit adaptive finite point method for the Burgers' equation	13
Symmetric solutions to symmetric partial difference equations	12
On the stability of delayed linear discrete-time systems with periodic coefficients	10
Structural graph and backward asymptotics of tent-like unimodal maps	10
Mathematical modelling and nonstandard finite scheme analysis for an Ebola model transmission with information and voluntary isolation	8
The new notion of Bohl dichotomy for non-autonomous difference equations and its relation to exponential dichotomy	8
Examining the influence of prey dynamics on predator–prey interactions	8
Chaos theory, complexity theory, catastrophe theory, and the enigmatic concept of chaoplexity Chaos theory, complexity theory, catastrophe theory, and the enigmatic concept of chaoplexi	8
The impact of dispersal and allee effects on tick invasion: a spatially-explicit discrete-time modelling approach	8
Some novel exact and non-standard finite difference schemes for a class of diffusion–advection–reaction equation	7
Global behaviour of a class of discrete epidemiological SI models with constant recruitment of susceptibles	7
Optimal placement of sensor and actuator for controlling the piecewise linear Chua circuit via a discretized controller	7
Indeterminate moment problem associated with continuous dual q-Hahn polynomials	7
On the dynamics of non-Volterra quadratic operators corresponding to permutations	6
1:4 resonance, Arnold tongues and Marotto's chaos of a discrete reduced Lorenz system	6
An elementary approach to solve recursions relative to the enumeration of S-Motzkin paths	6
Aθ-finite difference scheme based on cubic B-spline quasi-interpolation for the time fractional Cattaneo equation with Caputo–Fabrizio operator	6
An analysis of polynomial sequences and their application to discrete fractional operators	6
Global exponential stability of discrete-time Hopfield neural network models with unbounded delays	6
Statistical self-similarity in Lozi and Hénon's strange attractors	6
A class of new successive permutation iterative algorithms for diffusion equation	6
Geometric limits of mixed families	5
Weighted pseudo asymptotically antiperiodic sequential solutions to semilinear difference equations	5

Entire functions of slow growth whose Julia set contains any infinite collection of quasiconformal copies of polynomial Julia sets	5
Strongly convex solutions of a polynomial-like iterative equation with variable coefficients	5
Random attractors for multi-valued multi-stochastic delayed p-Laplace lattice equations	5
Random exponential attractor for a non-autonomous Zakharov lattice system with multiplicative white noise	5
Dynamics of quadratic stochastic operators generated by China's five element philosophy	5
Continuous and discontinuous piecewise-smooth one-dimensional maps. Invariant sets and bifurcation structures	5
A Fibonacci type sequence with Prouhet–Thue–Morse coefficients	4
On the quasi-hyperbolic regime in a certain family of 2-D piecewise linear maps	4
Chaotic attractors of discrete dynamical systems used in the core of evolutionary algorithms: state of art and perspectives	4
Monotone continuous solutions of an equation in linear combination of alternative iterates	4
Controlled two-dimensional Markov chains between two absorbing barriers	4
Two kinds of analytical solutions to Feigenbaum–Kadanoff–Shenker equation	4
The convergence of two linearized finite difference schemes for the modified phase field crystal equation	4
Border-collision bifurcations from stable fixed points to any number of coexisting chaotic attractors	4
Bifurcation analysis of a piecewise-smooth Ricker map with proportional threshold harvesting	4
Hypergeometric series and generalized harmonic numbers	4
From Boolean networks to linear dynamical systems: a simplified route	4
The evolutionary stability of partial migration with Allee effects	4
Dynamic game model for R&D strategy in high-tech enterprises	4
Ramanujan-inspired series for 1/π involving harmonic numbers	4
Delay-dependent set-invariance for linear difference equations with multiple delays: a polyhedral approach	4
Packing measure and dimension of the limit sets of IFSs of generalized complex continued fractions	4
A note on a q -difference equation related to Riccati equations	4
Polynomial solutions to the first order difference equations in the bivariate difference field	3
The dynamics of one-dimensional quasi-affine maps	3
Five classes of pattern avoiding inversion sequences under one roof: generating trees	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
Dynamics of q deformed Ricker map	3
Wolbachia spread dynamics in mosquito populations in cyclic environments	3
Well-posedness and dynamics of double time-delayed lattice FitzHugh–Nagumo systems	3
On the ω-multiple Meixner polynomials of the second kind	3
An exact finite difference scheme for a three-layer beam model	3
Limit periodic perturbations of difference systems with coefficients from commutative groups	3
Stability of a stochastic discrete SIS epidemic model with general nonlinear incidence rate	3
Variational principle for nonlinear weighted topological pressure	3
On discrete coherent pairs of measures	3
On two-term hypergeometric recursions with free lower parameters	3
Cantor and connected Julia sets of the parameterized Dixon elliptic functions	3
The paths of nine mathematicians to the realm of dynamical systems	3
Retraction: Research on closed-loop supply chain coordination control model based on difference equation load model	3
A current-value Hamiltonian approach to discrete-time optimal control problems in economic growth theory	3
Two variable Freud orthogonal polynomials and matrix Painlevé-type difference equations	3
A transitive homeomorphism on the Lelek fan	3
A higher-dimensional generalization of the Lozi map: bifurcations and dynamics	3
Applications of rational difference equations to spectral graph theory	3
Annealed central limit theorem for a class of contractive random dynamical systems	3
On partially periodic point free self-maps on the wedge sums of spheres	3
On the use of chaotic dynamics for mobile network design and analysis: towards a trace data generator	3
Limit cycles of piecewise smooth differential systems of the type nonlinear centre and saddle	3
The SEIR Covid-19 model described by fractional-order difference equations: analysis and application with real data in Brazil	3

Border collision bifurcations in a piecewise linear duopoly model	3
Stability of stochastic difference equations with multiplicative and additive fading noise	3
Discrete diffusion-type equation on regular graphs and its applications	3
A three-level implicit difference scheme for solving the inviscid Burgers' equation with time delay	3
Mathematical model of measles transmission dynamics using real data from Nigeria	2
On the dynamics of cubic polynomials	2
Unfolding numbers for interval maps	2
A discrete population game model of vaccination exploring the role of individuals' risk perceptions in the invasion of a mutant strain	2
An efficient finite difference method for coupled systems of singularly perturbed parabolic convection-diffusion problems	2
K-symbol fractional order discrete-time models of Lozi system	2
Topological conjugacy for multifunctions with finitely many set-valued points and an application to iterative roots	2
Visibility in restricted involutions	2
Communication dynamics of a two-agent interaction model with applications to human-autonomy teaming	2
Characterizations of topological dynamical IP* sets	2
Research on actual or industrial applications of difference equations: a chimerical task?	2
Global asymptotic stability of evolutionary periodic Ricker competition models	2
A new half-step compact exponential approximation for solution of 2D fourth-order non-linear parabolic equations	2
Statement of retraction: A generalized real option pricing method of R&D investments: jump diffusion and external competition	2
On the continuity of Bohl exponents	2
Reversing the paths in the Ducci tree	2
Discrete Kirchhoff equations with sign-changing coefficients	2
Emission charge controllability in Cournot duopoly: static and dynamic effects	2
Asymptotically autonomous robustness of random attractors for the stochastic wave lattice equations with random viscosity	2
Evolution of dispersal by memory and learning in integrodifference equation models	2
A higher order compact numerical approach for singularly perturbed parabolic problem with retarded term	2
A non-standard finite difference scheme for a class of predator–prey systems with non-monotonic functional response	2
Topological entropy of induced spaces for an iterated function system	2
Dynamic properties of a class of forced positive higher-order scalar difference equations: persistency, stability and convergence	2
Some limit relationships between some two-variable finite and infinite sequences of orthogonal polynomials	2
Method for predicting the lost input of iterative learning control systems over AWGN channels	2
Equivalence of the descents statistic on some (4,4)-avoidance classes of permutations	2
Multi-transitivity of semigroup actions	2
Nonstandard finite difference methods for a convective predator-prey pursuit and evasion model	2
Oscillations of deviating difference equations with continuous time and oscillatory coefficients	2
A generalized family of transcendental functions with one dimensional Julia sets	2
A weighted extension of Fibonacci numbers	2
Foreword to the special issue of Journal of Difference Equations and Applications on ‘Invertible and Noninvertible Maps: Theory and Applications’	2
Unilateral global structure for discrete Dirichlet problem with Minkowski-curvature operator	2