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 2021-09-01 to 2025-09-01.)

Article	Citations
Weighted pseudo asymptotically antiperiodic sequential solutions to semilinear difference equations	26
Retraction: Research on closed-loop supply chain coordination control model based on difference equation load model	15
The new notion of Bohl dichotomy for non-autonomous difference equations and its relation to exponential dichotomy	10
Border collision bifurcations in a piecewise linear duopoly model	9
Some novel exact and non-standard finite difference schemes for a class of diffusion–advection–reaction equation	9
Stability of stochastic difference equations with multiplicative and additive fading noise	8
Variational principle for nonlinear weighted topological pressure	8
Limit periodic perturbations of difference systems with coefficients from commutative groups	8
Statement of retraction: A generalized real option pricing method of R&D investments: jump diffusion and external competition	8
On the representation of C-recursive integer sequences by arithmetic terms	8
A simple method to enlarge a basin of attraction using a memristive function	7
Mathematical model of measles transmission dynamics using real data from Nigeria	7
Basic theory of finite-type relations between orthogonal polynomial sequences	7
Correction	6
The dynamics of superposition of non-Volterra quadratic stochastic operators	6
Weak multi-sensitive compactness and mean sensitivity for linear operators	6
Mathematical modelling and transmission dynamic of SEIRVQD model for epidemic diseases	6
Statement of Retraction: on the dynamics of hypersurfaces foliated byn−2-dimensional oriented hyperspheres in Sn	6
General reducibility sets	6
Meromorphic functions of finiteφ-order and linearq-difference equations	6
A discrete-time dynamical system of mosquito population	6
Capturing chaos: a multidisciplinary approach to nonlinear population dynamics	6
Stability analysis of mathematical model for spread of pest in tea plant by RKM-4 and ABM-2	5
Ultradiscrete hungry Toda equation and eigenvalues over min-plus algebra	5
Connecting slow solutions to nested recurrences with linear recurrent sequences	5

Derivation of weighting rules for developing a class of A-stable numerical integration scheme: αI-(2 + 3)P method	5
Neimark–Sacker bifurcation of two second-order rational difference equations	5
On solutions for some class of integrable difference equations	5
Exponential dichotomy for noninvertible linear difference equations: block triangular systems	5
Diffeomorphisms with infinitely many Smale horseshoes	5
Dedication	5
Matrix similarity transformations derived from extended q-analogues of the Toda equation and Lotka–Volterra system	5
Nonlinear dynamic and chaos in a remanufacturing duopoly game with heterogeneous players and nonlinear inverse demand functions	5
Numerical approximation to the MEW equation for the single solitary wave and different types of interactions of the solitary waves	5
Inequalities among two rowed immanants of the q-Laplacian of trees and odd height peaks in generalized Dyck paths	4
Fibonacci and telephone numbers in extremal unicyclic graphs	4
Controllability results of discrete boundary control system in Banach spaces	4
Correction Statement	4
q-Analogues of some supercongruences related to Euler numbers	4
Travelling waves and speed selection for the integrodifference pioneer-climax competition system	4
Variational principle for metric mean dimension with potential	4
New recurrence relations for several classical families of polynomials	4
Generalized Fibonacci–Leonardo numbers	4
Chaotic behaviour of countable products of homeomorphism groups	4
Topologically conjugate classifications of the translation actions on compact connected Lie groups SU(2) × Tⁿ	4
Numerical analysis of two new three-point conservative compact difference schemes based on reduction method for solving RLW equation	4
Foreword to the special issue of Journal of Difference Equations and Applications on ‘Lozi, Hénon, and other chaotic attractors, theory and applications’	4
Reduced transfer operators for singular difference equations	4
A diluted version of the problem of the existence of the Hofstadter sequence	4
Solvability and convergence analysis of a transformed L1 finite difference scheme for TFMBE models without slope selection	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
Applications of the novel diamond alpha Hardy–Copson type dynamic inequalities to half linear difference equations	4
Application of periodic Bernoulli polynomials in approximating the solution of linear time-delay optimal control problems	3
Furstenberg family and multi-transitivity in non-autonomous systems	3
Exploring general Apéry limits via the Zudilin–Straub t-transform	3
Bifurcation analysis of a piecewise-smooth Ricker map with proportional threshold harvesting	3
Optimal placement of sensor and actuator for controlling the piecewise linear Chua circuit via a discretized controller	3
Five classes of pattern avoiding inversion sequences under one roof: generating trees	3
Geometric limits of mixed families	3
The Lorenz model in discrete time	3
Search for invariant sets of the generalized tent map	3
From Boolean networks to linear dynamical systems: a simplified route	3
Chaotic attractors of discrete dynamical systems used in the core of evolutionary algorithms: state of art and perspectives	3
Global behaviour of a class of discrete epidemiological SI models with constant recruitment of susceptibles	3
On partially periodic point free self-maps on the wedge sums of spheres	3
On the asymptotic behaviour of the nonautonomous difference equation yn+1=αn+ynβn+yn−k	3
The exponential integrability properties and strong convergence rate of an explicit Euler's method for highly nonlinear stochastic differential equations	3
Matings of cubic polynomials with a fixed critical point. Part II: α-symmetry of limbs	3
Cantor and connected Julia sets of the parameterized Dixon elliptic functions	3
Structural graph and backward asymptotics of tent-like unimodal maps	3
The convergence of two linearized finite difference schemes for the modified phase field crystal equation	3
Entire functions of slow growth whose Julia set contains any infinite collection of quasiconformal copies of polynomial Julia sets	3
Monotone continuous solutions of an equation in linear combination of alternative iterates	3
‘Lozi, Hénon and Belykh chaotic attractors: new results fifty years on’	2

Stern-Brocot tree and Ducci map	2
Mean random dynamical systems and random attractors of stochastic Hopfield neural models with locally Lipschitz noise and time delay	2
Variational principles for pointwise preimage entropies	2
Qualitative and asymptotic analysis of repulsion systems with diverse applications	2
Uniform exponential stabilization for distributed discrete bilinear systems with time delay	2
R _I biorthogonal polynomials of Hahn type	2
Sensitivity and cofinite sensitivity for Mahavier dynamical systems	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
Nonstandard finite difference methods for a convective predator-prey pursuit and evasion model	2
Experimenting with discrete dynamical systems	2
Trigonometric B-spline based ε-uniform scheme for singularly perturbed problems with Robin boundary conditions	2
Oscillations of deviating difference equations with continuous time and oscillatory coefficients	2
Dynamics of the Secant map near infinity	2
On nonlinear discrete Sturm–Liouville boundary value problems with unbounded nonlinearities	2
Long-term averages of the stochastic logistic map	2
Modeling the population dynamics and movement of Zebra mussels	2
On the relationship between Lozi maps and max-type difference equations	2
Relatively pointwise recurrence on local dendrites	2
A dynamically consistent nonstandard finite difference scheme for a generalized SEIR epidemic model	2
Finite bivariate biorthogonal N – Konhauser polynomials	2
On variants of n-sensitivity in semiflows	2
The asymptotic log-convexity of Apéry-like numbers	2
On the performance of some NSFD methods for a 2-D generalized Burgers–Huxley equation	2
A unimodal sequence with mode at a quarter length	2
Pastro polynomials and Sobolev-type orthogonal polynomials on the unit circle based on a q-difference operator	2
Truncated Hermite polynomials	2
Hypergeometric accelerations with shifted indices	2
Research on quasi-weakly almost periodic point	2
Right fractional calculus to inverse-time chaotic maps and asymptotic stability analysis	2
Reduction for congruences of partial sums of P-recursive sequences	2
Homoclinic chaos in a perennial grass model	2
The multilayer garbage disposal game	2
Remarks on minimal sets on dendrites and finite graphs	2
Bowen's equations for packing BS dimension of subsets for free semigroup actions	2
Scrambled sets and chain recurrence points of generic graph maps	2