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 2021-10-01 to 2025-10-01.)
ArticleCitations
Retraction: Research on closed-loop supply chain coordination control model based on difference equation load model27
On the representation of C-recursive integer sequences by arithmetic terms15
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 equation9
Border collision bifurcations in a piecewise linear duopoly model9
Variational principle for nonlinear weighted topological pressure8
Stability of stochastic difference equations with multiplicative and additive fading noise8
Weighted pseudo asymptotically antiperiodic sequential solutions to semilinear difference equations8
Statement of retraction: A generalized real option pricing method of R&D investments: jump diffusion and external competition8
A simple method to enlarge a basin of attraction using a memristive function7
Limit periodic perturbations of difference systems with coefficients from commutative groups7
Mathematical model of measles transmission dynamics using real data from Nigeria7
Basic theory of finite-type relations between orthogonal polynomial sequences6
A discrete-time dynamical system of mosquito population6
Statement of Retraction: on the dynamics of hypersurfaces foliated byn−2-dimensional oriented hyperspheres in Sn6
Matrix similarity transformations derived from extended q-analogues of the Toda equation and Lotka–Volterra system6
The dynamics of superposition of non-Volterra quadratic stochastic operators6
General reducibility sets6
Capturing chaos: a multidisciplinary approach to nonlinear population dynamics6
Stability analysis of mathematical model for spread of pest in tea plant by RKM-4 and ABM-26
Mathematical modelling and transmission dynamic of SEIRVQD model for epidemic diseases6
Correction6
Weak multi-sensitive compactness and mean sensitivity for linear operators6
Numerical approximation to the MEW equation for the single solitary wave and different types of interactions of the solitary waves5
Existence proofs for strange attractors in piecewise-smooth nonlinear Lozi-Hénon and Belykh maps5
Connecting slow solutions to nested recurrences with linear recurrent sequences5
On solutions for some class of integrable difference equations5
Exponential dichotomy for noninvertible linear difference equations: block triangular systems5
Topologically conjugate classifications of the translation actions on compact connected Lie groups SU(2) × Tn5
Correction Statement5
Ultradiscrete hungry Toda equation and eigenvalues over min-plus algebra5
Diffeomorphisms with infinitely many Smale horseshoes5
Derivation of weighting rules for developing a class of A-stable numerical integration scheme: αI-(2 + 3)P method5
A uniformly convergent method for two-parameter singularly perturbed parabolic partial differential equations with a large shift5
Nonlinear dynamic and chaos in a remanufacturing duopoly game with heterogeneous players and nonlinear inverse demand functions5
Dedication5
Neimark–Sacker bifurcation of two second-order rational difference equations5
Chaotic behaviour of countable products of homeomorphism groups4
Generalized Fibonacci–Leonardo numbers4
q-Analogues of some supercongruences related to Euler numbers4
New recurrence relations for several classical families of polynomials4
The exponential integrability properties and strong convergence rate of an explicit Euler's method for highly nonlinear stochastic differential equations4
Variational principle for metric mean dimension with potential4
Numerical analysis of two new three-point conservative compact difference schemes based on reduction method for solving RLW equation4
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
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
Solvability and convergence analysis of a transformed L1 finite difference scheme for TFMBE models without slope selection4
Travelling waves and speed selection for the integrodifference pioneer-climax competition system4
Applications of the novel diamond alpha Hardy–Copson type dynamic inequalities to half linear difference equations4
Inequalities among two rowed immanants of the q-Laplacian of trees and odd height peaks in generalized Dyck paths4
Fibonacci and telephone numbers in extremal unicyclic graphs4
Controllability results of discrete boundary control system in Banach spaces4
A unimodal sequence with mode at a quarter length3
Nonstandard finite difference methods for a convective predator-prey pursuit and evasion model3
Oscillations of deviating difference equations with continuous time and oscillatory coefficients3
Chaotic attractors of discrete dynamical systems used in the core of evolutionary algorithms: state of art and perspectives3
Monotone continuous solutions of an equation in linear combination of alternative iterates3
On the asymptotic behaviour of the nonautonomous difference equation yn+1=αn+ynβn+yn−k3
Furstenberg family and multi-transitivity in non-autonomous systems3
‘Lozi, Hénon and Belykh chaotic attractors: new results fifty years on’3
Scrambled sets and chain recurrence points of generic graph maps3
On partially periodic point free self-maps on the wedge sums of spheres3
Cantor and connected Julia sets of the parameterized Dixon elliptic functions3
Entire functions of slow growth whose Julia set contains any infinite collection of quasiconformal copies of polynomial Julia sets3
Geometric limits of mixed families3
Structural graph and backward asymptotics of tent-like unimodal maps3
Search for invariant sets of the generalized tent map3
The convergence of two linearized finite difference schemes for the modified phase field crystal equation3
Trigonometric B-spline based ε-uniform scheme for singularly perturbed problems with Robin boundary conditions3
The asymptotic log-convexity of Apéry-like numbers3
Five classes of pattern avoiding inversion sequences under one roof: generating trees3
From Boolean networks to linear dynamical systems: a simplified route3
The Lorenz model in discrete time3
Exploring general Apéry limits via the Zudilin–Straub t-transform3
Optimal placement of sensor and actuator for controlling the piecewise linear Chua circuit via a discretized controller3
Global behaviour of a class of discrete epidemiological SI models with constant recruitment of susceptibles3
Homoclinic chaos in a perennial grass model2
Stern-Brocot tree and Ducci map2
A dynamically consistent nonstandard finite difference scheme for a generalized SEIR epidemic model2
Truncated Hermite polynomials2
Generic and dense distributional chaos with shadowing2
Variational principles for pointwise preimage entropies2
Exponential dichotomy for noninvertible linear difference equations2
Research on quasi-weakly almost periodic point2
Bowen's equations for packing BS dimension of subsets for free semigroup actions2
Mean random dynamical systems and random attractors of stochastic Hopfield neural models with locally Lipschitz noise and time delay2
On variants of n-sensitivity in semiflows2
R I biorthogonal polynomials of Hahn type2
Finite bivariate biorthogonal N – Konhauser polynomials2
The multilayer garbage disposal game2
A new family of q -supercongruences from a quadratic summation of Gasper and Rahman2
The single-indexed exceptional Krawtchouk polynomials2
The numerical algorithm for stochastic age-dependent population system with Lévy noise in a polluted environment2
Sensitivity and cofinite sensitivity for Mahavier dynamical systems2
Asymptotic behaviour of semi-canonical third-order functional difference equations2
On the relationship between Lozi maps and max-type difference equations2
Pastro polynomials and Sobolev-type orthogonal polynomials on the unit circle based on a q-difference operator2
Long-term averages of the stochastic logistic map2
Remarks on minimal sets on dendrites and finite graphs2
Relatively pointwise recurrence on local dendrites2
Qualitative and asymptotic analysis of repulsion systems with diverse applications2
Modeling the population dynamics and movement of Zebra mussels2
On nonlinear discrete Sturm–Liouville boundary value problems with unbounded nonlinearities2
On the performance of some NSFD methods for a 2-D generalized Burgers–Huxley equation2
Hypergeometric accelerations with shifted indices2
On the convergence of NSFD schemes for a new class of advection–diffusion–reaction equations2
Uniform exponential stabilization for distributed discrete bilinear systems with time delay2
A multiplicity result in finite-dimensional vector spaces2
Reduction for congruences of partial sums of P-recursive sequences2
Right fractional calculus to inverse-time chaotic maps and asymptotic stability analysis2
Experimenting with discrete dynamical systems2
Dynamics of the Secant map near infinity2
Chaos in popular metaheuristic optimizers – a bibliographic analysis2
General q -series transformations based on Abel's lemma on summation by parts and their applications1
Discrete-time models for interactive wild and transgenic sterile mosquitoes1
Annealed central limit theorem for a class of contractive random dynamical systems1
Proof of some congruence conjectures of Z.-H. Sun involving Apéry-like numbers1
A global picture for the planar Ricker map: convergence to fixed points and identification of the stable/unstable manifolds1
Emission charge controllability in Cournot duopoly: static and dynamic effects1
Global asymptotic stability and bifurcation of an evolutionary Beverton-Holt model1
An exact finite difference scheme for a three-layer beam model1
Topological entropy for non-autonomous iterated function systems1
A new half-step compact exponential approximation for solution of 2D fourth-order non-linear parabolic equations1
On the dynamics of non-Volterra quadratic operators corresponding to permutations1
Nonstandard finite difference schemes for the HIV infection model of CD4 + T-cells1
Delay-dependent set-invariance for linear difference equations with multiple delays: a polyhedral approach1
Method for predicting the lost input of iterative learning control systems over AWGN channels1
On a discrete model of tumour–immune system interactions with blockade of immune checkpoints1
Combinatorial identities involving reciprocals of the binomial and central binomial coefficients and harmonic numbers1
Foreword to the special issue of Journal of Difference Equations and Applications on ‘Invertible and Noninvertible Maps: Theory and Applications’1
Memristor-based Gauss chaotic maps with hidden/self-exited dynamics1
Extending nonstandard finite difference scheme rules to systems of nonlinear ODEs with constant coefficients1
On some rational piecewise linear rotations1
Proof of some conjectural congruences involving Apéry-like sequences1
Smooth conjugacy of difference equations derived from elliptic curves1
Degenerate Neimark–Sacker bifurcation of a second-order rational difference equation1
Re-examining symmetric q -Dunkl-classical orthogonal polynomials1
A higher-dimensional generalization of the Lozi map: bifurcations and dynamics1
Markov partition in the attractor of Lozi maps1
On target-oriented control of Hénon and Lozi maps1
Characterizations of topological dynamical IP* sets1
A parametric congruence motivated by Orr's identity1
Wolbachia spread dynamics in mosquito populations in cyclic environments1
Error analysis of a weak Galerkin finite element method for singularly perturbed differential-difference equations1
A transitive homeomorphism on the Lelek fan1
A Fibonacci type sequence with Prouhet–Thue–Morse coefficients1
Neimark–Sacker bifurcation of discrete Pielou model with delay1
Examining the influence of prey dynamics on predator–prey interactions1
Some characterizations of the symmetric q -Dunkl-semiclassical orthogonal q -polynomials1
On secure communication scheme-based mixed discrete-time hyperchaotic systems1
On the quasi-hyperbolic regime in a certain family of 2-D piecewise linear maps1
Equivalence of the descents statistic on some (4,4)-avoidance classes of permutations1
Derivation and error analysis of three-level linearized difference schemes for solving the Burgers-Fisher equation1
Global dynamics of planar discrete type-K competitive systems1
Dispersal-driven coexistence in a multiple-patch competition model for zebra and quagga mussels1
Global asymptotic stability of evolutionary periodic Ricker competition models1
Bifurcation analysis in a discrete toxin-producing phytoplankton–zooplankton model with refuge1
On two-term hypergeometric recursions with free lower parameters1
The effects of three release strategies on Wolbachia infection frequency in mosquito populations1
Self-reciprocal polynomials connecting unsigned and signed relative derangements1
A generalized family of transcendental functions with one dimensional Julia sets1
Discrete-time host-parasitoid model incorporating dynamic regulatory factor for integrated control measures1
The dynamics of one-dimensional quasi-affine maps1
On Shilnikov attractors of three-dimensional flows and maps1
Dynamics of q deformed Ricker map1
Gosper–type sums with reciprocals of binomial coefficients of the form (3n+ϵn)1
Monotonicity results for sequential fractional differences of mixed orders with negative lower bound1
Stability of a stochastic discrete SIS epidemic model with general nonlinear incidence rate1
A note on a q -difference equation related to Riccati equations1
Progress on difference equations and discrete dynamical systems1
An efficient fourth-order convergent scheme based on half-step spline function for two-point mixed boundary value problems1
On a conjectural series of Sun for the mathematical constant β(4)1
Pathwise invariant measure of non-autonomous stochastic lattice systems with variable delay and multiplicative noise in ℓ σ 2 with general wei1
Some formulas related to Pochhammer k -symbol and Fuss–Catalan–Qi numbers1
Concentration inequalities and rates of convergence of the ergodic theorem for countable shifts with Gibbs measures1
‘Diophantine’ and factorization properties of finite orthogonal polynomials in the Askey scheme1
n -dimensional Kolmogorov maps, carrying simplices, and bifurcations at the origin1
Invariant curves in a discrete-time two-species system1
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