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 2022-05-01 to 2026-05-01.)

Article	Citations
Some novel exact and non-standard finite difference schemes for a class of diffusion–advection–reaction equation	35
Retraction: Research on closed-loop supply chain coordination control model based on difference equation load model	23
Border collision bifurcations in a piecewise linear duopoly model	20
On the representation of C-recursive integer sequences by arithmetic terms	16
The new notion of Bohl dichotomy for non-autonomous difference equations and its relation to exponential dichotomy	16
Limit periodic perturbations of difference systems with coefficients from commutative groups	11
Variational principle for nonlinear weighted topological pressure	10
Stability of stochastic difference equations with multiplicative and additive fading noise	10
Statement of retraction: A generalized real option pricing method of R&D investments: jump diffusion and external competition	9
General reducibility sets	8
Basic theory of finite-type relations between orthogonal polynomial sequences	8
Matrix similarity transformations derived from extended q-analogues of the Toda equation and Lotka–Volterra system	8
Mathematical modelling and transmission dynamic of SEIRVQD model for epidemic diseases	8
Mathematical model of measles transmission dynamics using real data from Nigeria	8
Weak multi-sensitive compactness and mean sensitivity for linear operators	8
The dynamics of superposition of non-Volterra quadratic stochastic operators	8
A simple method to enlarge a basin of attraction using a memristive function	8
Capturing chaos: a multidisciplinary approach to nonlinear population dynamics	7
Some subsets of set ℱ in the diluted Hofstadter problem	7
Exponential dichotomy for noninvertible linear difference equations: block triangular systems	6
Dedication	6
A discrete-time dynamical system of mosquito population	6
Correction	6
Connecting slow solutions to nested recurrences with linear recurrent sequences	6
Diffeomorphisms with infinitely many Smale horseshoes	6

Stability analysis of mathematical model for spread of pest in tea plant by RKM-4 and ABM-2	6
Ultradiscrete hungry Toda equation and eigenvalues over min-plus algebra	6
Statement of Retraction: on the dynamics of hypersurfaces foliated byn−2-dimensional oriented hyperspheres in Sn	6
Neimark–Sacker bifurcation of two second-order rational difference equations	6
Optimization of discrete inclusions with mixed constraints via locally adjoint mappings	6
Numerical analysis of two new three-point conservative compact difference schemes based on reduction method for solving RLW equation	5
Generalized Fibonacci–Leonardo numbers	5
Variational principle for metric mean dimension with potential	5
Nonlinear dynamic and chaos in a remanufacturing duopoly game with heterogeneous players and nonlinear inverse demand functions	5
Solvability and convergence analysis of a transformed L1 finite difference scheme for TFMBE models without slope selection	5
Derivation of weighting rules for developing a class of A-stable numerical integration scheme: αI-(2 + 3)P method	5
Full dimensional invariant tori for one dimensional almost-periodically forced maps in a degenerate case	5
Travelling waves and speed selection for the integrodifference pioneer-climax competition system	5
Correction Statement	5
A symbolic computational approach to the generalized gambler's ruin problem in one and two dimensions	5
Controllability results of discrete boundary control system in Banach spaces	5
Foreword to the special issue of Journal of Difference Equations and Applications on ‘Lozi, Hénon, and other chaotic attractors, theory and applications’	5
Chaotic behaviour of countable products of homeomorphism groups	5
A uniformly convergent method for two-parameter singularly perturbed parabolic partial differential equations with a large shift	5
Numerical approximation to the MEW equation for the single solitary wave and different types of interactions of the solitary waves	5
Topologically conjugate classifications of the translation actions on compact connected Lie groups SU(2) × Tⁿ	5
Existence proofs for strange attractors in piecewise-smooth nonlinear Lozi-Hénon and Belykh maps	4
Matings of cubic polynomials with a fixed critical point. Part II: α-symmetry of limbs	4
On the asymptotic behaviour of the nonautonomous difference equation yn+1=αn+ynβn+yn−k	4
Exploring general Apéry limits via the Zudilin–Straub t-transform	4
Reduced transfer operators for singular difference equations	4
Furstenberg family and multi-transitivity in non-autonomous systems	4
A diluted version of the problem of the existence of the Hofstadter sequence	4
Fibonacci and telephone numbers in extremal unicyclic graphs	4
The exponential integrability properties and strong convergence rate of an explicit Euler's method for highly nonlinear stochastic differential equations	4
Search for invariant sets of the generalized tent map	4
Entire functions of slow growth whose Julia set contains any infinite collection of quasiconformal copies of polynomial Julia sets	3
From Boolean networks to linear dynamical systems: a simplified route	3
Enlarged numerical attractors with IOD-type continuity for discrete p-Laplace equations	3
A note on global quadratic Lyapunov functions for symmetric discrete-time competition models	3
Geometric limits of mixed families	3
A structured two-stage population model with migration between multiple locations in a periodic environment	3
Optimal placement of sensor and actuator for controlling the piecewise linear Chua circuit via a discretized controller	3
Cantor and connected Julia sets of the parameterized Dixon elliptic functions	3
Convergence and stability of θ -scheme for hyperbolic partial differential equation with piecewise continuous arguments	3
Monotone continuous solutions of an equation in linear combination of alternative iterates	3
Cyclic α Meir–Keeler contraction and iterated function system on Branciari b-metric spaces	3
Structural graph and backward asymptotics of tent-like unimodal maps	3
Chaotic attractors of discrete dynamical systems used in the core of evolutionary algorithms: state of art and perspectives	3
The multilayer garbage disposal game	2
Right fractional calculus to inverse-time chaotic maps and asymptotic stability analysis	2
Modeling the population dynamics and movement of Zebra mussels	2
On the relationship between Lozi maps and max-type difference equations	2
Trigonometric B-spline based ε-uniform scheme for singularly perturbed problems with Robin boundary conditions	2
Concatenations of terms of an arithmetic progression	2

Nonstandard finite difference methods for a convective predator-prey pursuit and evasion model	2
Sensitivity and cofinite sensitivity for Mahavier dynamical systems	2
Global stabilization of the planar Ricker system with noisy PBC	2
‘Lozi, Hénon and Belykh chaotic attractors: new results fifty years on’	2
Research on quasi-weakly almost periodic point	2
A unimodal sequence with mode at a quarter length	2
A dynamically consistent nonstandard finite difference scheme for a generalized SEIR epidemic model	2
Bowen's equations for packing BS dimension of subsets for free semigroup actions	2
Pastro polynomials and Sobolev-type orthogonal polynomials on the unit circle based on a q-difference operator	2
Relatively pointwise recurrence on local dendrites	2
R _I biorthogonal polynomials of Hahn type	2
Long-term averages of the stochastic logistic map	2
Homoclinic chaos in a perennial grass model	2
A new family of q -supercongruences from a quadratic summation of Gasper and Rahman	2
Qualitative and asymptotic analysis of repulsion systems with diverse applications	2
Extremal solutions for difference equations with the Minkowski mean curvature operator	2
Experimenting with discrete dynamical systems	2
On partially periodic point free self-maps on the wedge sums of spheres	2
Hypergeometric accelerations with shifted indices	2
Chaos in popular metaheuristic optimizers – a bibliographic analysis	2
On the convergence of NSFD schemes for a new class of advection–diffusion–reaction equations	2
On variants of n-sensitivity in semiflows	2
Remarks on minimal sets on dendrites and finite graphs	2
Scrambled sets and chain recurrence points of generic graph maps	2
Non-monotonicity height of piecewise monotone functions	2
The asymptotic log-convexity of Apéry-like numbers	2
Variational principles for pointwise preimage entropies	2
Five classes of pattern avoiding inversion sequences under one roof: generating trees	2
Oscillations of deviating difference equations with continuous time and oscillatory coefficients	2
Truncated Hermite polynomials	2
Finite bivariate biorthogonal N – Konhauser polynomials	2
Reduction for congruences of partial sums of P-recursive sequences	2
Mean random dynamical systems and random attractors of stochastic Hopfield neural models with locally Lipschitz noise and time delay	2