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 2021-06-01 to 2025-06-01.)

Article	Citations
Weighted pseudo asymptotically antiperiodic sequential solutions to semilinear difference equations	26
Border collision bifurcations in a piecewise linear duopoly model	15
Retraction: Research on closed-loop supply chain coordination control model based on difference equation load model	13
The new notion of Bohl dichotomy for non-autonomous difference equations and its relation to exponential dichotomy	12
Continuous and discontinuous piecewise-smooth one-dimensional maps. Invariant sets and bifurcation structures	9
On the ω-multiple Meixner polynomials of the second kind	8
Stability of stochastic difference equations with multiplicative and additive fading noise	8
Variational principle for nonlinear weighted topological pressure	8
Statement of retraction: A generalized real option pricing method of R&D investments: jump diffusion and external competition	8
Some novel exact and non-standard finite difference schemes for a class of diffusion–advection–reaction equation	8
A simple method to enlarge a basin of attraction using a memristive function	7
The dynamics of superposition of non-Volterra quadratic stochastic operators	7
Limit periodic perturbations of difference systems with coefficients from commutative groups	7
Basic theory of finite-type relations between orthogonal polynomial sequences	7
Mathematical model of measles transmission dynamics using real data from Nigeria	7
Meromorphic functions of finiteφ-order and linearq-difference equations	7
Statement of Retraction: on the dynamics of hypersurfaces foliated byn−2-dimensional oriented hyperspheres in Sn	6
Correction	6
Capturing chaos: a multidisciplinary approach to nonlinear population dynamics	6
A discrete-time dynamical system of mosquito population	6
Neimark–Sacker bifurcation of two second-order rational difference equations	6
Mathematical modelling and transmission dynamic of SEIRVQD model for epidemic diseases	6
Weak multi-sensitive compactness and mean sensitivity for linear operators	5
Dedication	5
Diffeomorphisms with infinitely many Smale horseshoes	5

Nonlinear dynamic and chaos in a remanufacturing duopoly game with heterogeneous players and nonlinear inverse demand functions	5
Ultradiscrete hungry Toda equation and eigenvalues over min-plus algebra	5
General reducibility sets	5
Numerical approximation to the MEW equation for the single solitary wave and different types of interactions of the solitary waves	5
Derivation of weighting rules for developing a class of A-stable numerical integration scheme: αI-(2 + 3)P method	5
Matrix similarity transformations derived from extended q-analogues of the Toda equation and Lotka–Volterra system	5
Stability analysis of mathematical model for spread of pest in tea plant by RKM-4 and ABM-2	5
On solutions for some class of integrable difference equations	5
Connecting slow solutions to nested recurrences with linear recurrent sequences	5
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
A uniformly convergent method for two-parameter singularly perturbed parabolic partial differential equations with a large shift	4
Solvability and convergence analysis of a transformed L1 finite difference scheme for TFMBE models without slope selection	4
Numerical analysis of two new three-point conservative compact difference schemes based on reduction method for solving RLW equation	4
Variational principle for metric mean dimension with potential	4
Correction Statement	4
q-Analogues of some supercongruences related to Euler numbers	4
Existence proofs for strange attractors in piecewise-smooth nonlinear Lozi-Hénon and Belykh maps	4
Generalized Fibonacci–Leonardo numbers	4
On an anisotropic discrete boundary value problem of Kirchhoff type	4
Application of periodic Bernoulli polynomials in approximating the solution of linear time-delay optimal control problems	4
Exponential dichotomy for noninvertible linear difference equations: block triangular systems	4
Travelling waves and speed selection for the integrodifference pioneer-climax competition system	4
Foreword to the special issue of Journal of Difference Equations and Applications on ‘Lozi, Hénon, and other chaotic attractors, theory and applications’	4
Controllability results of discrete boundary control system in Banach spaces	4
Applications of the novel diamond alpha Hardy–Copson type dynamic inequalities to half linear difference equations	4
The Lorenz model in discrete time	3
Entire functions of slow growth whose Julia set contains any infinite collection of quasiconformal copies of polynomial Julia sets	3
Oscillations of deviating difference equations with continuous time and oscillatory coefficients	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
Five classes of pattern avoiding inversion sequences under one roof: generating trees	3
Matings of cubic polynomials with a fixed critical point. Part II: α-symmetry of limbs	3
Reduced transfer operators for singular difference equations	3
Chaotic attractors of discrete dynamical systems used in the core of evolutionary algorithms: state of art and perspectives	3
New recurrence relations for several classical families of polynomials	3
Monotone continuous solutions of an equation in linear combination of alternative iterates	3
From Boolean networks to linear dynamical systems: a simplified route	3
Nonstandard finite difference methods for a convective predator-prey pursuit and evasion model	3
‘Lozi, Hénon and Belykh chaotic attractors: new results fifty years on’	3
Bifurcation analysis of a piecewise-smooth Ricker map with proportional threshold harvesting	3
Geometric limits of mixed families	3
Exploring general Apéry limits via the Zudilin–Straub t-transform	3
Search for invariant sets of the generalized tent map	3
Fibonacci and telephone numbers in extremal unicyclic graphs	3
Inequalities among two rowed immanants of the q-Laplacian of trees and odd height peaks in generalized Dyck paths	3
Random attractors for multi-valued multi-stochastic delayed p-Laplace lattice equations	3
A unimodal sequence with mode at a quarter length	3
On partially periodic point free self-maps on the wedge sums of spheres	3
Global behaviour of a class of discrete epidemiological SI models with constant recruitment of susceptibles	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
Furstenberg family and multi-transitivity in non-autonomous systems	3
The exponential integrability properties and strong convergence rate of an explicit Euler's method for highly nonlinear stochastic differential equations	3
A diluted version of the problem of the existence of the Hofstadter sequence	3
Research on quasi-weakly almost periodic point	2
Homoclinic chaos in a perennial grass model	2
Hypergeometric accelerations with shifted indices	2
Modeling the population dynamics and movement of Zebra mussels	2
The multilayer garbage disposal game	2
Trigonometric B-spline based ε-uniform scheme for singularly perturbed problems with Robin boundary conditions	2
Experimenting with discrete dynamical systems	2
The asymptotic log-convexity of Apéry-like numbers	2
Dynamics of the Secant map near infinity	2
Reduction for congruences of partial sums of P-recursive sequences	2
Truncated Hermite polynomials	2
Uniform exponential stabilization for distributed discrete bilinear systems with time delay	2
Right fractional calculus to inverse-time chaotic maps and asymptotic stability analysis	2
On the performance of some NSFD methods for a 2-D generalized Burgers–Huxley equation	2
Relatively pointwise recurrence on local dendrites	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
Qualitative and asymptotic analysis of repulsion systems with diverse applications	2
Mean random dynamical systems and random attractors of stochastic Hopfield neural models with locally Lipschitz noise and time delay	2
Sensitivity and cofinite sensitivity for Mahavier dynamical systems	2
On the relationship between Lozi maps and max-type difference equations	2
Pastro polynomials and Sobolev-type orthogonal polynomials on the unit circle based on a q-difference operator	2
Variational principles for pointwise preimage entropies	2
R _I biorthogonal polynomials of Hahn type	2
On the convergence of NSFD schemes for a new class of advection–diffusion–reaction equations	2
Chaos in popular metaheuristic optimizers – a bibliographic analysis	2
A dynamically consistent nonstandard finite difference scheme for a generalized SEIR epidemic model	2
Stern-Brocot tree and Ducci map	2
Asymptotic behaviour of non-autonomous discrete complex Ginzburg–Landau equations driven by nonlinear noise	2
Long-term averages of the stochastic logistic map	2
Bowen's equations for packing BS dimension of subsets for free semigroup actions	2