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 2022-08-01 to 2026-08-01.)

Article	Citations
Retraction: Research on closed-loop supply chain coordination control model based on difference equation load model	24
The new notion of Bohl dichotomy for non-autonomous difference equations and its relation to exponential dichotomy	23
Border collision bifurcations in a piecewise linear duopoly model	17
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	12
A simple method to enlarge a basin of attraction using a memristive function	10
Long-lasting and slowly varying transient dynamics in discrete-time systems	10
Stability of stochastic difference equations with multiplicative and additive fading noise	10
Limit periodic perturbations of difference systems with coefficients from commutative groups	10
Variational principle for nonlinear weighted topological pressure	9
Statement of retraction: A generalized real option pricing method of R&D investments: jump diffusion and external competition	9
Characterization of some discrete and quantum semiclassical orthogonal polynomials via an algebraic equation	9
Mathematical modelling and transmission dynamic of SEIRVQD model for epidemic diseases	8
Weak multi-sensitive compactness and mean sensitivity for linear operators	8
General reducibility sets	8
Neimark–Sacker bifurcation of two second-order rational difference equations	8
Basic theory of finite-type relations between orthogonal polynomial sequences	8
The dynamics of superposition of non-Volterra quadratic stochastic operators	8
Statement of Retraction: on the dynamics of hypersurfaces foliated byn−2-dimensional oriented hyperspheres in Sn	7
Some subsets of set ℱ in the diluted Hofstadter problem	7
Capturing chaos: a multidisciplinary approach to nonlinear population dynamics	7
Matrix similarity transformations derived from extended q-analogues of the Toda equation and Lotka–Volterra system	7
Stability analysis of mathematical model for spread of pest in tea plant by RKM-4 and ABM-2	7
A discrete-time dynamical system of mosquito population	6
Derivation of weighting rules for developing a class of A-stable numerical integration scheme: αI-(2 + 3)P method	6

A symbolic computational approach to the generalized gambler's ruin problem in one and two dimensions	6
Ultradiscrete hungry Toda equation and eigenvalues over min-plus algebra	6
Dedication	6
Exponential dichotomy for noninvertible linear difference equations: block triangular systems	6
Diffeomorphisms with infinitely many Smale horseshoes	6
Optimization of discrete inclusions with mixed constraints via locally adjoint mappings	6
Correction	6
Nonlinear dynamic and chaos in a remanufacturing duopoly game with heterogeneous players and nonlinear inverse demand functions	6
Connecting slow solutions to nested recurrences with linear recurrent sequences	6
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
Variational principle for metric mean dimension with potential	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
Numerical approximation to the MEW equation for the single solitary wave and different types of interactions of the solitary waves	5
Correction Statement	5
Travelling waves and speed selection for the integrodifference pioneer-climax competition system	5
Generalized Fibonacci–Leonardo numbers	4
On perturbations of the multiadditive mappings via the concept of generalized Z -numbers	4
Full dimensional invariant tori for one dimensional almost-periodically forced maps in a degenerate case	4
Furstenberg family and multi-transitivity in non-autonomous systems	4
Fibonacci and telephone numbers in extremal unicyclic graphs	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
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
Solvability and convergence analysis of a transformed L1 finite difference scheme for TFMBE models without slope selection	4
Reduced transfer operators for singular difference equations	4
Matings of cubic polynomials with a fixed critical point. Part II: α-symmetry of limbs	4
A diluted version of the problem of the existence of the Hofstadter sequence	4
Search for invariant sets of the generalized tent map	3
Monotone continuous solutions of an equation in linear combination of alternative iterates	3
Ground state solution for a class of discrete superlinear Schrödinger equations	3
A structured two-stage population model with migration between multiple locations in a periodic environment	3
Convergence and stability of θ -scheme for hyperbolic partial differential equation with piecewise continuous arguments	3
From Boolean networks to linear dynamical systems: a simplified route	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
On the asymptotic behaviour of the nonautonomous difference equation yn+1=αn+ynβn+yn−k	3
Interdisciplinarity in the Sciences – Nonlinear Dynamics, Chaos and Complexity	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
On variants of n-sensitivity in semiflows	2
Enlarged numerical attractors with IOD-type continuity for discrete p-Laplace equations	2
Five classes of pattern avoiding inversion sequences under one roof: generating trees	2
Pastro polynomials and Sobolev-type orthogonal polynomials on the unit circle based on a q-difference operator	2
Cantor and connected Julia sets of the parameterized Dixon elliptic functions	2
Bifurcation structure and multistability in a sinusoidal modification of the Hénon map	2
Concatenations of terms of an arithmetic progression	2

Revisiting Sacker's work on periodic difference equations using semigroups and the Schwarzian derivative	2
Modeling the population dynamics and movement of Zebra mussels	2
On the relationship between Lozi maps and max-type difference equations	2
Homoclinic chaos in a perennial grass model	2
Mean random dynamical systems and random attractors of stochastic Hopfield neural models with locally Lipschitz noise and time delay	2
Qualitative and asymptotic analysis of repulsion systems with diverse applications	2
The multilayer garbage disposal game	2
Global stabilization of the planar Ricker system with noisy PBC	2
‘Lozi, Hénon and Belykh chaotic attractors: new results fifty years on’	2
Long-term averages of the stochastic logistic map	2
Chaos in popular metaheuristic optimizers – a bibliographic analysis	2
Experimenting with discrete dynamical systems	2
A new family of q -supercongruences from a quadratic summation of Gasper and Rahman	2
Remarks on minimal sets on dendrites and finite graphs	2
Right fractional calculus to inverse-time chaotic maps and asymptotic stability analysis	2
R _I biorthogonal polynomials of Hahn type	2
Reduction for congruences of partial sums of P-recursive sequences	2
Relatively pointwise recurrence on local dendrites	2
Bowen's equations for packing BS dimension of subsets for free semigroup actions	2
Extremal solutions for difference equations with the Minkowski mean curvature operator	2
Nonstandard finite difference methods for a convective predator-prey pursuit and evasion model	2
A dynamically consistent nonstandard finite difference scheme for a generalized SEIR epidemic model	2
On partially periodic point free self-maps on the wedge sums of spheres	2
Oscillations of deviating difference equations with continuous time and oscillatory coefficients	2
Finite bivariate biorthogonal N – Konhauser polynomials	2
Variational principles for pointwise preimage entropies	2
Sensitivity and cofinite sensitivity for Mahavier dynamical systems	2
A unimodal sequence with mode at a quarter length	2
Research on quasi-weakly almost periodic point	2
Scrambled sets and chain recurrence points of generic graph maps	2
Hypergeometric accelerations with shifted indices	2
The asymptotic log-convexity of Apéry-like numbers	2