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 2021-03-01 to 2025-03-01.)

Article	Citations
Polynomial continued fractions for exp(π)	22
A higher order implicit adaptive finite point method for the Burgers' equation	13
Gosper–type sums with reciprocals of binomial coefficients of the form (3n+ϵn)	13
On the stability of delayed linear discrete-time systems with periodic coefficients	12
The new notion of Bohl dichotomy for non-autonomous difference equations and its relation to exponential dichotomy	10
Mathematical modelling and nonstandard finite scheme analysis for an Ebola model transmission with information and voluntary isolation	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
Global behaviour of a class of discrete epidemiological SI models with constant recruitment of susceptibles	8
Indeterminate moment problem associated with continuous dual q-Hahn polynomials	8
Optimal placement of sensor and actuator for controlling the piecewise linear Chua circuit via a discretized controller	8
Examining the influence of prey dynamics on predator–prey interactions	8
An elementary approach to solve recursions relative to the enumeration of S-Motzkin paths	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	8
Statistical self-similarity in Lozi and Hénon's strange attractors	7
Aθ-finite difference scheme based on cubic B-spline quasi-interpolation for the time fractional Cattaneo equation with Caputo–Fabrizio operator	7
On the dynamics of non-Volterra quadratic operators corresponding to permutations	7
A class of new successive permutation iterative algorithms for diffusion equation	6
1:4 resonance, Arnold tongues and Marotto's chaos of a discrete reduced Lorenz system	6
An analysis of polynomial sequences and their application to discrete fractional operators	6
Dynamics of quadratic stochastic operators generated by China's five element philosophy	6
Random attractors for multi-valued multi-stochastic delayed p-Laplace lattice equations	6
Weighted pseudo asymptotically antiperiodic sequential solutions to semilinear difference equations	6
Strongly convex solutions of a polynomial-like iterative equation with variable coefficients	5
The convergence of two linearized finite difference schemes for the modified phase field crystal equation	5

Dynamic game model for R&D strategy in high-tech enterprises	5
Random exponential attractor for a non-autonomous Zakharov lattice system with multiplicative white noise	5
Geometric limits of mixed families	5
Bifurcation analysis of a piecewise-smooth Ricker map with proportional threshold harvesting	5
Entire functions of slow growth whose Julia set contains any infinite collection of quasiconformal copies of polynomial Julia sets	5
Global exponential stability of discrete-time Hopfield neural network models with unbounded delays	5
Continuous and discontinuous piecewise-smooth one-dimensional maps. Invariant sets and bifurcation structures	5
A Fibonacci type sequence with Prouhet–Thue–Morse coefficients	5
On the quasi-hyperbolic regime in a certain family of 2-D piecewise linear maps	4
Ramanujan-inspired series for 1/π involving harmonic numbers	4
Controlled two-dimensional Markov chains between two absorbing barriers	4
The paths of nine mathematicians to the realm of dynamical systems	4
Structural graph and backward asymptotics of tent-like unimodal maps	4
From Boolean networks to linear dynamical systems: a simplified route	4
Wolbachia spread dynamics in mosquito populations in cyclic environments	4
The evolutionary stability of partial migration with Allee effects	4
A note on a q -difference equation related to Riccati equations	4
Two kinds of analytical solutions to Feigenbaum–Kadanoff–Shenker equation	4
Monotone continuous solutions of an equation in linear combination of alternative iterates	4
Delay-dependent set-invariance for linear difference equations with multiple delays: a polyhedral approach	4
Border-collision bifurcations from stable fixed points to any number of coexisting chaotic attractors	4
Chaotic attractors of discrete dynamical systems used in the core of evolutionary algorithms: state of art and perspectives	4
Packing measure and dimension of the limit sets of IFSs of generalized complex continued fractions	4
Hypergeometric series and generalized harmonic numbers	4
Border collision bifurcations in a piecewise linear duopoly model	4
An exact finite difference scheme for a three-layer beam model	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
Global asymptotic stability of evolutionary periodic Ricker competition models	3
Dynamics of q deformed Ricker map	3
Retraction: Research on closed-loop supply chain coordination control model based on difference equation load model	3
Symmetric solutions to symmetric partial difference equations	3
Limit cycles of piecewise smooth differential systems of the type nonlinear centre and saddle	3
Cantor and connected Julia sets of the parameterized Dixon elliptic functions	3
Oscillations of deviating difference equations with continuous time and oscillatory coefficients	3
Topological entropy of induced spaces for an iterated function system	3
Statement of retraction: A generalized real option pricing method of R&D investments: jump diffusion and external competition	3
On partially periodic point free self-maps on the wedge sums of spheres	3
A higher order compact numerical approach for singularly perturbed parabolic problem with retarded term	3
Annealed central limit theorem for a class of contractive random dynamical systems	3
A current-value Hamiltonian approach to discrete-time optimal control problems in economic growth theory	3
The SEIR Covid-19 model described by fractional-order difference equations: analysis and application with real data in Brazil	3
Discrete Kirchhoff equations with sign-changing coefficients	3
K-symbol fractional order discrete-time models of Lozi system	3
Mathematical model of measles transmission dynamics using real data from Nigeria	3
Stability of stochastic difference equations with multiplicative and additive fading noise	3
Five classes of pattern avoiding inversion sequences under one roof: generating trees	3
Research on actual or industrial applications of difference equations: a chimerical task?	3
On the use of chaotic dynamics for mobile network design and analysis: towards a trace data generator	3
Polynomial solutions to the first order difference equations in the bivariate difference field	3
On two-term hypergeometric recursions with free lower parameters	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
Nonstandard finite difference methods for a convective predator-prey pursuit and evasion model	3
The dynamics of one-dimensional quasi-affine maps	3
A discrete population game model of vaccination exploring the role of individuals' risk perceptions in the invasion of a mutant strain	2
Limit periodic perturbations of difference systems with coefficients from commutative groups	2
A generalized family of transcendental functions with one dimensional Julia sets	2
Method for predicting the lost input of iterative learning control systems over AWGN channels	2
A non-standard finite difference scheme for a class of predator–prey systems with non-monotonic functional response	2
A weighted extension of Fibonacci numbers	2
The dynamics of superposition of non-Volterra quadratic stochastic operators	2
Multi-transitivity of semigroup actions	2
A transitive homeomorphism on the Lelek fan	2
Unfolding numbers for interval maps	2
Applications of rational difference equations to spectral graph theory	2
On the continuity of Bohl exponents	2
A new half-step compact exponential approximation for solution of 2D fourth-order non-linear parabolic equations	2
Two variable Freud orthogonal polynomials and matrix Painlevé-type difference equations	2
Communication dynamics of a two-agent interaction model with applications to human-autonomy teaming	2
Septic Hermite collocation method for the numerical solution of Benjamin–Bona–Mahony–Burgers equation	2
Equivalence of the descents statistic on some (4,4)-avoidance classes of permutations	2
Asymptotically autonomous robustness of random attractors for the stochastic wave lattice equations with random viscosity	2
Basic theory of finite-type relations between orthogonal polynomial sequences	2
Discrete diffusion-type equation on regular graphs and its applications	2
Visibility in restricted involutions	2
Topological conjugacy for multifunctions with finitely many set-valued points and an application to iterative roots	2
A higher-dimensional generalization of the Lozi map: bifurcations and dynamics	2
Dynamic properties of a class of forced positive higher-order scalar difference equations: persistency, stability and convergence	2
A discrete-time dynamical system of mosquito population	2
On discrete coherent pairs of measures	2
Unilateral global structure for discrete Dirichlet problem with Minkowski-curvature operator	2
Combinatorial identities involving reciprocals of the binomial and central binomial coefficients and harmonic numbers	2
Characterizations of topological dynamical IP* sets	2
Evolution of dispersal by memory and learning in integrodifference equation models	2
Visibility in non-crossing and non-nesting partitions	2
Emission charge controllability in Cournot duopoly: static and dynamic effects	2
Variational principle for nonlinear weighted topological pressure	2
Stability of a stochastic discrete SIS epidemic model with general nonlinear incidence rate	2
A three-level implicit difference scheme for solving the inviscid Burgers' equation with time delay	2
On the dynamics of cubic polynomials	2