Journal of Difference Equations and Applications

Papers
(The median citation count of Journal of Difference Equations and Applications is 1. 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 2022-01-01 to 2026-01-01.)
ArticleCitations
Retraction: Research on closed-loop supply chain coordination control model based on difference equation load model30
Border collision bifurcations in a piecewise linear duopoly model16
On the representation of C-recursive integer sequences by arithmetic terms10
The new notion of Bohl dichotomy for non-autonomous difference equations and its relation to exponential dichotomy10
Some novel exact and non-standard finite difference schemes for a class of diffusion–advection–reaction equation10
Variational principle for nonlinear weighted topological pressure9
A simple method to enlarge a basin of attraction using a memristive function8
Limit periodic perturbations of difference systems with coefficients from commutative groups8
Stability of stochastic difference equations with multiplicative and additive fading noise8
Statement of retraction: A generalized real option pricing method of R&D investments: jump diffusion and external competition8
Basic theory of finite-type relations between orthogonal polynomial sequences7
Mathematical model of measles transmission dynamics using real data from Nigeria7
The dynamics of superposition of non-Volterra quadratic stochastic operators7
A discrete-time dynamical system of mosquito population7
Correction7
Mathematical modelling and transmission dynamic of SEIRVQD model for epidemic diseases7
Statement of Retraction: on the dynamics of hypersurfaces foliated byn−2-dimensional oriented hyperspheres in Sn6
Stability analysis of mathematical model for spread of pest in tea plant by RKM-4 and ABM-26
Diffeomorphisms with infinitely many Smale horseshoes6
Weak multi-sensitive compactness and mean sensitivity for linear operators6
General reducibility sets6
Dedication6
Matrix similarity transformations derived from extended q-analogues of the Toda equation and Lotka–Volterra system6
Capturing chaos: a multidisciplinary approach to nonlinear population dynamics6
Neimark–Sacker bifurcation of two second-order rational difference equations6
Exponential dichotomy for noninvertible linear difference equations: block triangular systems5
A symbolic computational approach to the generalized gambler's ruin problem in one and two dimensions5
Topologically conjugate classifications of the translation actions on compact connected Lie groups SU(2) × Tn5
Correction Statement5
Full dimensional invariant tori for one dimensional almost-periodically forced maps in a degenerate case5
Ultradiscrete hungry Toda equation and eigenvalues over min-plus algebra5
Derivation of weighting rules for developing a class of A-stable numerical integration scheme: αI-(2 + 3)P method5
Numerical approximation to the MEW equation for the single solitary wave and different types of interactions of the solitary waves5
Solvability and convergence analysis of a transformed L1 finite difference scheme for TFMBE models without slope selection5
Controllability results of discrete boundary control system in Banach spaces5
Numerical analysis of two new three-point conservative compact difference schemes based on reduction method for solving RLW equation5
Connecting slow solutions to nested recurrences with linear recurrent sequences5
Nonlinear dynamic and chaos in a remanufacturing duopoly game with heterogeneous players and nonlinear inverse demand functions5
A uniformly convergent method for two-parameter singularly perturbed parabolic partial differential equations with a large shift5
Chaotic behaviour of countable products of homeomorphism groups5
Generalized Fibonacci–Leonardo numbers5
Variational principle for metric mean dimension with potential4
Travelling waves and speed selection for the integrodifference pioneer-climax competition system4
A diluted version of the problem of the existence of the Hofstadter sequence4
Matings of cubic polynomials with a fixed critical point. Part II: α-symmetry of limbs4
Fibonacci and telephone numbers in extremal unicyclic graphs4
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 equations4
The exponential integrability properties and strong convergence rate of an explicit Euler's method for highly nonlinear stochastic differential equations4
Furstenberg family and multi-transitivity in non-autonomous systems4
Applications of the novel diamond alpha Hardy–Copson type dynamic inequalities to half linear difference equations4
Existence proofs for strange attractors in piecewise-smooth nonlinear Lozi-Hénon and Belykh maps4
Inequalities among two rowed immanants of the q-Laplacian of trees and odd height peaks in generalized Dyck paths4
The Lorenz model in discrete time4
Exploring general Apéry limits via the Zudilin–Straub t-transform4
Qualitative and asymptotic analysis of repulsion systems with diverse applications3
Optimal placement of sensor and actuator for controlling the piecewise linear Chua circuit via a discretized controller3
Entire functions of slow growth whose Julia set contains any infinite collection of quasiconformal copies of polynomial Julia sets3
Search for invariant sets of the generalized tent map3
Oscillations of deviating difference equations with continuous time and oscillatory coefficients3
Nonstandard finite difference methods for a convective predator-prey pursuit and evasion model3
Global stabilization of the planar Ricker system with noisy PBC3
A note on global quadratic Lyapunov functions for symmetric discrete-time competition models3
From Boolean networks to linear dynamical systems: a simplified route3
Geometric limits of mixed families3
On the asymptotic behaviour of the nonautonomous difference equation yn+1=αn+ynβn+yn−k3
Five classes of pattern avoiding inversion sequences under one roof: generating trees3
On partially periodic point free self-maps on the wedge sums of spheres3
Enlarged numerical attractors with IOD-type continuity for discrete p-Laplace equations3
Global behaviour of a class of discrete epidemiological SI models with constant recruitment of susceptibles3
Monotone continuous solutions of an equation in linear combination of alternative iterates3
Structural graph and backward asymptotics of tent-like unimodal maps3
Chaotic attractors of discrete dynamical systems used in the core of evolutionary algorithms: state of art and perspectives3
Cantor and connected Julia sets of the parameterized Dixon elliptic functions3
‘Lozi, Hénon and Belykh chaotic attractors: new results fifty years on’3
A multiplicity result in finite-dimensional vector spaces2
Hypergeometric accelerations with shifted indices2
Truncated Hermite polynomials2
On the relationship between Lozi maps and max-type difference equations2
Experimenting with discrete dynamical systems2
Mean random dynamical systems and random attractors of stochastic Hopfield neural models with locally Lipschitz noise and time delay2
Remarks on minimal sets on dendrites and finite graphs2
Stern-Brocot tree and Ducci map2
Relatively pointwise recurrence on local dendrites2
A unimodal sequence with mode at a quarter length2
The multilayer garbage disposal game2
Asymptotic behaviour of semi-canonical third-order functional difference equations2
Bowen's equations for packing BS dimension of subsets for free semigroup actions2
Non-monotonicity height of piecewise monotone functions2
Uniform exponential stabilization for distributed discrete bilinear systems with time delay2
Modeling the population dynamics and movement of Zebra mussels2
Reduction for congruences of partial sums of P-recursive sequences2
Right fractional calculus to inverse-time chaotic maps and asymptotic stability analysis2
A dynamically consistent nonstandard finite difference scheme for a generalized SEIR epidemic model2
Long-term averages of the stochastic logistic map2
Trigonometric B-spline based ε-uniform scheme for singularly perturbed problems with Robin boundary conditions2
Finite bivariate biorthogonal N – Konhauser polynomials2
Dynamics of the Secant map near infinity2
Variational principles for pointwise preimage entropies2
The numerical algorithm for stochastic age-dependent population system with Lévy noise in a polluted environment2
A new family of q -supercongruences from a quadratic summation of Gasper and Rahman2
Sensitivity and cofinite sensitivity for Mahavier dynamical systems2
Research on quasi-weakly almost periodic point2
Pastro polynomials and Sobolev-type orthogonal polynomials on the unit circle based on a q-difference operator2
On the convergence of NSFD schemes for a new class of advection–diffusion–reaction equations2
Chaos in popular metaheuristic optimizers – a bibliographic analysis2
R I biorthogonal polynomials of Hahn type2
Homoclinic chaos in a perennial grass model2
The asymptotic log-convexity of Apéry-like numbers2
Scrambled sets and chain recurrence points of generic graph maps2
On variants of n-sensitivity in semiflows2
Examining the influence of prey dynamics on predator–prey interactions1
A global picture for the planar Ricker map: convergence to fixed points and identification of the stable/unstable manifolds1
Delay-dependent set-invariance for linear difference equations with multiple delays: a polyhedral approach1
Error analysis of a weak Galerkin finite element method for singularly perturbed differential-difference equations1
The single-indexed exceptional Krawtchouk polynomials1
On Shilnikov attractors of three-dimensional flows and maps1
On a conjectural series of Sun for the mathematical constant β(4)1
On two-term hypergeometric recursions with free lower parameters1
n -dimensional Kolmogorov maps, carrying simplices, and bifurcations at the origin1
A transitive homeomorphism on the Lelek fan1
Memristor-based Gauss chaotic maps with hidden/self-exited dynamics1
Stability of a stochastic discrete SIS epidemic model with general nonlinear incidence rate1
‘Diophantine’ and factorization properties of finite orthogonal polynomials in the Askey scheme1
Equivalence of the descents statistic on some (4,4)-avoidance classes of permutations1
On some rational piecewise linear rotations1
Proof of some conjectural congruences involving Apéry-like sequences1
Nonlinear recursions on the reals and a problem of Graham1
A new half-step compact exponential approximation for solution of 2D fourth-order non-linear parabolic equations1
Proof of some congruence conjectures of Z.-H. Sun involving Apéry-like numbers1
Characterizations of topological dynamical IP* sets1
Invariant curves in a discrete-time two-species system1
An exact finite difference scheme for a three-layer beam model1
Discrete-time host-parasitoid model incorporating dynamic regulatory factor for integrated control measures1
On the dynamics of non-Volterra quadratic operators corresponding to permutations1
Topological entropy for non-autonomous iterated function systems1
A Fibonacci type sequence with Prouhet–Thue–Morse coefficients1
A parametric congruence motivated by Orr's identity1
Numerical approximation of time-dependent 3D Burgers’ equations in the occurrence of high Reynolds numbers1
Combinatorial identities involving reciprocals of the binomial and central binomial coefficients and harmonic numbers1
Pathwise invariant measure of non-autonomous stochastic lattice systems with variable delay and multiplicative noise in ℓ σ 2 with general wei1
The effects of three release strategies on Wolbachia infection frequency in mosquito populations1
Method for predicting the lost input of iterative learning control systems over AWGN channels1
Derivation and error analysis of three-level linearized difference schemes for solving the Burgers-Fisher equation1
Foreword to the special issue of Journal of Difference Equations and Applications on ‘Invertible and Noninvertible Maps: Theory and Applications’1
Self-reciprocal polynomials connecting unsigned and signed relative derangements1
Global dynamics of planar discrete type-K competitive systems1
Discrete-time models for interactive wild and transgenic sterile mosquitoes1
Dynamics of q deformed Ricker map1
Re-examining symmetric q -Dunkl-classical orthogonal polynomials1
Wolbachia spread dynamics in mosquito populations in cyclic environments1
On secure communication scheme-based mixed discrete-time hyperchaotic systems1
Annealed central limit theorem for a class of contractive random dynamical systems1
On target-oriented control of Hénon and Lozi maps1
Gosper–type sums with reciprocals of binomial coefficients of the form (3n+ϵn)1
An efficient fourth-order convergent scheme based on half-step spline function for two-point mixed boundary value problems1
A note on a q -difference equation related to Riccati equations1
Neimark–Sacker bifurcation of discrete Pielou model with delay1
Robustness analysis of piecewise affine control for linear systems: a coupled vertex sensitivity approach1
Nonstandard finite difference schemes for the HIV infection model of CD4 + T-cells1
Progress on difference equations and discrete dynamical systems1
A higher-dimensional generalization of the Lozi map: bifurcations and dynamics1
Global asymptotic stability of evolutionary periodic Ricker competition models1
Some characterizations of the symmetric q -Dunkl-semiclassical orthogonal q -polynomials1
General q -series transformations based on Abel's lemma on summation by parts and their applications1
Some formulas related to Pochhammer k -symbol and Fuss–Catalan–Qi numbers1
Degenerate Neimark–Sacker bifurcation of a second-order rational difference equation1
Dispersal-driven coexistence in a multiple-patch competition model for zebra and quagga mussels1
Extending nonstandard finite difference scheme rules to systems of nonlinear ODEs with constant coefficients1
Bifurcation analysis in a discrete toxin-producing phytoplankton–zooplankton model with refuge1
A generalized family of transcendental functions with one dimensional Julia sets1
Global asymptotic stability and bifurcation of an evolutionary Beverton-Holt model1
Emission charge controllability in Cournot duopoly: static and dynamic effects1
On a discrete model of tumour–immune system interactions with blockade of immune checkpoints1
The dynamics of one-dimensional quasi-affine maps1
Markov partition in the attractor of Lozi maps1
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