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 2021-11-01 to 2025-11-01.)

Article	Citations
Retraction: Research on closed-loop supply chain coordination control model based on difference equation load model	28
On the representation of C-recursive integer sequences by arithmetic terms	15
Border collision bifurcations in a piecewise linear duopoly model	10
Some novel exact and non-standard finite difference schemes for a class of diffusion–advection–reaction equation	9
The new notion of Bohl dichotomy for non-autonomous difference equations and its relation to exponential dichotomy	9
Statement of retraction: A generalized real option pricing method of R&D investments: jump diffusion and external competition	8
Limit periodic perturbations of difference systems with coefficients from commutative groups	8
Stability of stochastic difference equations with multiplicative and additive fading noise	8
Variational principle for nonlinear weighted topological pressure	8
A simple method to enlarge a basin of attraction using a memristive function	7
Correction	7
Basic theory of finite-type relations between orthogonal polynomial sequences	7
The dynamics of superposition of non-Volterra quadratic stochastic operators	7
Mathematical model of measles transmission dynamics using real data from Nigeria	7
Mathematical modelling and transmission dynamic of SEIRVQD model for epidemic diseases	7
Stability analysis of mathematical model for spread of pest in tea plant by RKM-4 and ABM-2	6
General reducibility sets	6
Matrix similarity transformations derived from extended q-analogues of the Toda equation and Lotka–Volterra system	6
Weak multi-sensitive compactness and mean sensitivity for linear operators	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
A discrete-time dynamical system of mosquito population	6
Capturing chaos: a multidisciplinary approach to nonlinear population dynamics	6
On solutions for some class of integrable difference equations	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
Numerical analysis of two new three-point conservative compact difference schemes based on reduction method for solving RLW equation	5
Correction Statement	5
Dedication	5
Diffeomorphisms with infinitely many Smale horseshoes	5
A uniformly convergent method for two-parameter singularly perturbed parabolic partial differential equations with a large shift	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
Exponential dichotomy for noninvertible linear difference equations: block triangular systems	5
Ultradiscrete hungry Toda equation and eigenvalues over min-plus algebra	5
Connecting slow solutions to nested recurrences with linear recurrent sequences	5
Topologically conjugate classifications of the translation actions on compact connected Lie groups SU(2) × Tⁿ	5
Chaotic behaviour of countable products of homeomorphism groups	5
Reduced transfer operators for singular difference equations	4
Exploring general Apéry limits via the Zudilin–Straub t-transform	4
Search for invariant sets of the generalized tent map	4
Fibonacci and telephone numbers in extremal unicyclic graphs	4
Existence proofs for strange attractors in piecewise-smooth nonlinear Lozi-Hénon and Belykh maps	4
Controllability results of discrete boundary control system in Banach spaces	4
Travelling waves and speed selection for the integrodifference pioneer-climax competition system	4
Inequalities among two rowed immanants of the q-Laplacian of trees and odd height peaks in generalized Dyck paths	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
The Lorenz model in discrete time	4
Generalized Fibonacci–Leonardo numbers	4
Applications of the novel diamond alpha Hardy–Copson type dynamic inequalities to half linear difference equations	4
Variational principle for metric mean dimension with potential	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
The exponential integrability properties and strong convergence rate of an explicit Euler's method for highly nonlinear stochastic differential equations	4
Full dimensional invariant tori for one dimensional almost-periodically forced maps in a degenerate case	4
Foreword to the special issue of Journal of Difference Equations and Applications on ‘Lozi, Hénon, and other chaotic attractors, theory and applications’	4
q-Analogues of some supercongruences related to Euler numbers	4
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
Structural graph and backward asymptotics of tent-like unimodal maps	3
Five classes of pattern avoiding inversion sequences under one roof: generating trees	3
On partially periodic point free self-maps on the wedge sums of spheres	3
A unimodal sequence with mode at a quarter length	3
Finite bivariate biorthogonal N – Konhauser polynomials	3
Global behaviour of a class of discrete epidemiological SI models with constant recruitment of susceptibles	3
Geometric limits of mixed families	3
From Boolean networks to linear dynamical systems: a simplified route	3
Qualitative and asymptotic analysis of repulsion systems with diverse applications	3
‘Lozi, Hénon and Belykh chaotic attractors: new results fifty years on’	3
Stern-Brocot tree and Ducci map	3
Cantor and connected Julia sets of the parameterized Dixon elliptic functions	3
Optimal placement of sensor and actuator for controlling the piecewise linear Chua circuit via a discretized controller	3
Monotone continuous solutions of an equation in linear combination of alternative iterates	3
Chaotic attractors of discrete dynamical systems used in the core of evolutionary algorithms: state of art and perspectives	3

Nonstandard finite difference methods for a convective predator-prey pursuit and evasion model	3
Oscillations of deviating difference equations with continuous time and oscillatory coefficients	3
The asymptotic log-convexity of Apéry-like numbers	3
The multilayer garbage disposal game	2
Uniform exponential stabilization for distributed discrete bilinear systems with time delay	2
On nonlinear discrete Sturm–Liouville boundary value problems with unbounded nonlinearities	2
A Fibonacci type sequence with Prouhet–Thue–Morse coefficients	2
Exponential dichotomy for noninvertible linear difference equations	2
Dynamics of the Secant map near infinity	2
Bowen's equations for packing BS dimension of subsets for free semigroup actions	2
Chaos in popular metaheuristic optimizers – a bibliographic analysis	2
Modeling the population dynamics and movement of Zebra mussels	2
Asymptotic behaviour of semi-canonical third-order functional difference equations	2
Trigonometric B-spline based ε-uniform scheme for singularly perturbed problems with Robin boundary conditions	2
Hypergeometric accelerations with shifted indices	2
Right fractional calculus to inverse-time chaotic maps and asymptotic stability analysis	2
Research on quasi-weakly almost periodic point	2
Reduction for congruences of partial sums of P-recursive sequences	2
The single-indexed exceptional Krawtchouk polynomials	2
The numerical algorithm for stochastic age-dependent population system with Lévy noise in a polluted environment	2
Mean random dynamical systems and random attractors of stochastic Hopfield neural models with locally Lipschitz noise and time delay	2
Long-term averages of the stochastic logistic map	2
Experimenting with discrete dynamical systems	2
Homoclinic chaos in a perennial grass model	2
A multiplicity result in finite-dimensional vector spaces	2
R _I biorthogonal polynomials of Hahn type	2
A new family of q -supercongruences from a quadratic summation of Gasper and Rahman	2
Relatively pointwise recurrence on local dendrites	2
Sensitivity and cofinite sensitivity for Mahavier dynamical systems	2
On variants of n-sensitivity in semiflows	2
On the relationship between Lozi maps and max-type difference equations	2
Delay-dependent set-invariance for linear difference equations with multiple delays: a polyhedral approach	2
On the performance of some NSFD methods for a 2-D generalized Burgers–Huxley equation	2
A dynamically consistent nonstandard finite difference scheme for a generalized SEIR epidemic model	2
Pastro polynomials and Sobolev-type orthogonal polynomials on the unit circle based on a q-difference operator	2
On the convergence of NSFD schemes for a new class of advection–diffusion–reaction equations	2
Remarks on minimal sets on dendrites and finite graphs	2
Truncated Hermite polynomials	2
Scrambled sets and chain recurrence points of generic graph maps	2
Variational principles for pointwise preimage entropies	2