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 2022-06-01 to 2026-06-01.)

Article	Citations
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
The new notion of Bohl dichotomy for non-autonomous difference equations and its relation to exponential dichotomy	16
On the representation of C-recursive integer sequences by arithmetic terms	16
Some novel exact and non-standard finite difference schemes for a class of diffusion–advection–reaction equation	11
Stability of stochastic difference equations with multiplicative and additive fading noise	10
Limit periodic perturbations of difference systems with coefficients from commutative groups	10
Characterization of some discrete and quantum semiclassical orthogonal polynomials via an algebraic equation	9
A simple method to enlarge a basin of attraction using a memristive function	9
Weak multi-sensitive compactness and mean sensitivity for linear operators	8
The dynamics of superposition of non-Volterra quadratic stochastic operators	8
Statement of retraction: A generalized real option pricing method of R&D investments: jump diffusion and external competition	8
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
Variational principle for nonlinear weighted topological pressure	8
Stability analysis of mathematical model for spread of pest in tea plant by RKM-4 and ABM-2	7
Some subsets of set ℱ in the diluted Hofstadter problem	7
Statement of Retraction: on the dynamics of hypersurfaces foliated byn−2-dimensional oriented hyperspheres in Sn	6
Optimization of discrete inclusions with mixed constraints via locally adjoint mappings	6
Ultradiscrete hungry Toda equation and eigenvalues over min-plus algebra	6
Correction	6
Dedication	6
Derivation of weighting rules for developing a class of A-stable numerical integration scheme: αI-(2 + 3)P method	6

Capturing chaos: a multidisciplinary approach to nonlinear population dynamics	6
Neimark–Sacker bifurcation of two second-order rational difference equations	6
A discrete-time dynamical system of mosquito population	6
Diffeomorphisms with infinitely many Smale horseshoes	6
Controllability results of discrete boundary control system in Banach spaces	5
Variational principle for metric mean dimension with potential	5
Generalized Fibonacci–Leonardo numbers	5
Connecting slow solutions to nested recurrences with linear recurrent sequences	5
A symbolic computational approach to the generalized gambler's ruin problem in one and two dimensions	5
Exponential dichotomy for noninvertible linear difference equations: block triangular systems	5
Foreword to the special issue of Journal of Difference Equations and Applications on ‘Lozi, Hénon, and other chaotic attractors, theory and applications’	5
Correction Statement	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
Numerical analysis of two new three-point conservative compact difference schemes based on reduction method for solving RLW equation	5
Travelling waves and speed selection for the integrodifference pioneer-climax competition system	5
Solvability and convergence analysis of a transformed L1 finite difference scheme for TFMBE models without slope selection	5
Nonlinear dynamic and chaos in a remanufacturing duopoly game with heterogeneous players and nonlinear inverse demand functions	5
Full dimensional invariant tori for one dimensional almost-periodically forced maps in a degenerate case	4
The exponential integrability properties and strong convergence rate of an explicit Euler's method for highly nonlinear stochastic differential equations	4
Exploring general Apéry limits via the Zudilin–Straub t-transform	4
Search for invariant sets of the generalized tent map	4
A uniformly convergent method for two-parameter singularly perturbed parabolic partial differential equations with a large shift	4
Existence proofs for strange attractors in piecewise-smooth nonlinear Lozi-Hénon and Belykh maps	4
Fibonacci and telephone numbers in extremal unicyclic graphs	4
A diluted version of the problem of the existence of the Hofstadter sequence	4
Matings of cubic polynomials with a fixed critical point. Part II: α-symmetry of limbs	4
Chaotic behaviour of countable products of homeomorphism groups	4
Reduced transfer operators for singular difference equations	4
Furstenberg family and multi-transitivity in non-autonomous systems	4
On the asymptotic behaviour of the nonautonomous difference equation yn+1=αn+ynβn+yn−k	4
Monotone continuous solutions of an equation in linear combination of alternative iterates	3
From Boolean networks to linear dynamical systems: a simplified route	3
Cyclic α Meir–Keeler contraction and iterated function system on Branciari b-metric spaces	3
A structured two-stage population model with migration between multiple locations in a periodic environment	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
Global stabilization of the planar Ricker system with noisy PBC	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
Optimal placement of sensor and actuator for controlling the piecewise linear Chua circuit via a discretized controller	3
A note on global quadratic Lyapunov functions for symmetric discrete-time competition models	3
Enlarged numerical attractors with IOD-type continuity for discrete p-Laplace equations	3
‘Lozi, Hénon and Belykh chaotic attractors: new results fifty years on’	2
Truncated Hermite polynomials	2
Experimenting with discrete dynamical systems	2
Research on quasi-weakly almost periodic point	2
A multiplicity result in finite-dimensional vector spaces	2
Homoclinic chaos in a perennial grass model	2
Non-monotonicity height of piecewise monotone functions	2

Right fractional calculus to inverse-time chaotic maps and asymptotic stability analysis	2
Pastro polynomials and Sobolev-type orthogonal polynomials on the unit circle based on a q-difference operator	2
R _I biorthogonal polynomials of Hahn type	2
Sensitivity and cofinite sensitivity for Mahavier dynamical systems	2
Nonstandard finite difference methods for a convective predator-prey pursuit and evasion model	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
Extremal solutions for difference equations with the Minkowski mean curvature operator	2
On partially periodic point free self-maps on the wedge sums of spheres	2
The asymptotic log-convexity of Apéry-like numbers	2
A dynamically consistent nonstandard finite difference scheme for a generalized SEIR epidemic model	2
Variational principles for pointwise preimage entropies	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
Remarks on minimal sets on dendrites and finite graphs	2
Revisiting Sacker's work on periodic difference equations using semigroups and the Schwarzian derivative	2
Scrambled sets and chain recurrence points of generic graph maps	2
On the relationship between Lozi maps and max-type difference equations	2
Mean random dynamical systems and random attractors of stochastic Hopfield neural models with locally Lipschitz noise and time delay	2
A unimodal sequence with mode at a quarter length	2
The multilayer garbage disposal game	2
Oscillations of deviating difference equations with continuous time and oscillatory coefficients	2
Five classes of pattern avoiding inversion sequences under one roof: generating trees	2
Long-term averages of the stochastic logistic map	2
The numerical algorithm for stochastic age-dependent population system with Lévy noise in a polluted environment	2
Chaos in popular metaheuristic optimizers – a bibliographic analysis	2
Uniform exponential stabilization for distributed discrete bilinear systems with time delay	2
Finite bivariate biorthogonal N – Konhauser polynomials	2
A new family of q -supercongruences from a quadratic summation of Gasper and Rahman	2
Modeling the population dynamics and movement of Zebra mussels	2
Hypergeometric accelerations with shifted indices	2
Relatively pointwise recurrence on local dendrites	2
Reduction for congruences of partial sums of P-recursive sequences	2
Bowen's equations for packing BS dimension of subsets for free semigroup actions	2
Qualitative and asymptotic analysis of repulsion systems with diverse applications	2