Journal of Difference Equations and Applications

Article	Citations
Polynomial continued fractions for exp(π)	23
A higher order implicit adaptive finite point method for the Burgers' equation	13
Gosper–type sums with reciprocals of binomial coefficients of the form (3n+ϵn)	13
Symmetric solutions to symmetric partial difference equations	12
Structural graph and backward asymptotics of tent-like unimodal maps	10
On the stability of delayed linear discrete-time systems with periodic coefficients	10
The new notion of Bohl dichotomy for non-autonomous difference equations and its relation to exponential dichotomy	8
Examining the influence of prey dynamics on predator–prey interactions	8
Chaos theory, complexity theory, catastrophe theory, and the enigmatic concept of chaoplexity Chaos theory, complexity theory, catastrophe theory, and the enigmatic concept of chaoplexi	8
The impact of dispersal and allee effects on tick invasion: a spatially-explicit discrete-time modelling approach	8
Mathematical modelling and nonstandard finite scheme analysis for an Ebola model transmission with information and voluntary isolation	8
Indeterminate moment problem associated with continuous dual q-Hahn polynomials	7
Some novel exact and non-standard finite difference schemes for a class of diffusion–advection–reaction equation	7
Global behaviour of a class of discrete epidemiological SI models with constant recruitment of susceptibles	7
Optimal placement of sensor and actuator for controlling the piecewise linear Chua circuit via a discretized controller	7
Global exponential stability of discrete-time Hopfield neural network models with unbounded delays	6
Statistical self-similarity in Lozi and Hénon's strange attractors	6
A class of new successive permutation iterative algorithms for diffusion equation	6
On the dynamics of non-Volterra quadratic operators corresponding to permutations	6
1:4 resonance, Arnold tongues and Marotto's chaos of a discrete reduced Lorenz system	6
An elementary approach to solve recursions relative to the enumeration of S-Motzkin paths	6
Aθ-finite difference scheme based on cubic B-spline quasi-interpolation for the time fractional Cattaneo equation with Caputo–Fabrizio operator	6
An analysis of polynomial sequences and their application to discrete fractional operators	6
Entire functions of slow growth whose Julia set contains any infinite collection of quasiconformal copies of polynomial Julia sets	5
Strongly convex solutions of a polynomial-like iterative equation with variable coefficients	5

Random attractors for multi-valued multi-stochastic delayed p-Laplace lattice equations	5
Random exponential attractor for a non-autonomous Zakharov lattice system with multiplicative white noise	5
Dynamics of quadratic stochastic operators generated by China's five element philosophy	5
Continuous and discontinuous piecewise-smooth one-dimensional maps. Invariant sets and bifurcation structures	5
Geometric limits of mixed families	5
Weighted pseudo asymptotically antiperiodic sequential solutions to semilinear difference equations	5
Border-collision bifurcations from stable fixed points to any number of coexisting chaotic attractors	4
Bifurcation analysis of a piecewise-smooth Ricker map with proportional threshold harvesting	4
Hypergeometric series and generalized harmonic numbers	4
From Boolean networks to linear dynamical systems: a simplified route	4
The evolutionary stability of partial migration with Allee effects	4
Dynamic game model for R&D strategy in high-tech enterprises	4
Ramanujan-inspired series for 1/π involving harmonic numbers	4
Delay-dependent set-invariance for linear difference equations with multiple delays: a polyhedral approach	4
Packing measure and dimension of the limit sets of IFSs of generalized complex continued fractions	4
A note on a q -difference equation related to Riccati equations	4
A Fibonacci type sequence with Prouhet–Thue–Morse coefficients	4
On the quasi-hyperbolic regime in a certain family of 2-D piecewise linear maps	4
Chaotic attractors of discrete dynamical systems used in the core of evolutionary algorithms: state of art and perspectives	4
Monotone continuous solutions of an equation in linear combination of alternative iterates	4
Controlled two-dimensional Markov chains between two absorbing barriers	4
Two kinds of analytical solutions to Feigenbaum–Kadanoff–Shenker equation	4
The convergence of two linearized finite difference schemes for the modified phase field crystal equation	4
Cantor and connected Julia sets of the parameterized Dixon elliptic functions	3
The paths of nine mathematicians to the realm of dynamical systems	3
Retraction: Research on closed-loop supply chain coordination control model based on difference equation load model	3
A current-value Hamiltonian approach to discrete-time optimal control problems in economic growth theory	3
Two variable Freud orthogonal polynomials and matrix Painlevé-type difference equations	3
A transitive homeomorphism on the Lelek fan	3
A higher-dimensional generalization of the Lozi map: bifurcations and dynamics	3
Applications of rational difference equations to spectral graph theory	3
Annealed central limit theorem for a class of contractive random dynamical systems	3
On partially periodic point free self-maps on the wedge sums of spheres	3
On the use of chaotic dynamics for mobile network design and analysis: towards a trace data generator	3
Limit cycles of piecewise smooth differential systems of the type nonlinear centre and saddle	3
The SEIR Covid-19 model described by fractional-order difference equations: analysis and application with real data in Brazil	3
Border collision bifurcations in a piecewise linear duopoly model	3
Stability of stochastic difference equations with multiplicative and additive fading noise	3
Discrete diffusion-type equation on regular graphs and its applications	3
A three-level implicit difference scheme for solving the inviscid Burgers' equation with time delay	3
Polynomial solutions to the first order difference equations in the bivariate difference field	3
The dynamics of one-dimensional quasi-affine maps	3
Five classes of pattern avoiding inversion sequences under one roof: generating trees	3
A high accuracy compact semi-constant mesh off-step discretization in exponential form for the solution of non-linear elliptic boundary value problems	3
Dynamics of q deformed Ricker map	3
Wolbachia spread dynamics in mosquito populations in cyclic environments	3
Well-posedness and dynamics of double time-delayed lattice FitzHugh–Nagumo systems	3
On the ω-multiple Meixner polynomials of the second kind	3
An exact finite difference scheme for a three-layer beam model	3
Limit periodic perturbations of difference systems with coefficients from commutative groups	3

Stability of a stochastic discrete SIS epidemic model with general nonlinear incidence rate	3
Variational principle for nonlinear weighted topological pressure	3
On discrete coherent pairs of measures	3
On two-term hypergeometric recursions with free lower parameters	3
Topological conjugacy for multifunctions with finitely many set-valued points and an application to iterative roots	2
Visibility in restricted involutions	2
Communication dynamics of a two-agent interaction model with applications to human-autonomy teaming	2
Characterizations of topological dynamical IP* sets	2
Global asymptotic stability of evolutionary periodic Ricker competition models	2
Statement of retraction: A generalized real option pricing method of R&D investments: jump diffusion and external competition	2
Reversing the paths in the Ducci tree	2
A non-standard finite difference scheme for a class of predator–prey systems with non-monotonic functional response	2
Dynamic properties of a class of forced positive higher-order scalar difference equations: persistency, stability and convergence	2
Method for predicting the lost input of iterative learning control systems over AWGN channels	2
Discrete Kirchhoff equations with sign-changing coefficients	2
Emission charge controllability in Cournot duopoly: static and dynamic effects	2
Asymptotically autonomous robustness of random attractors for the stochastic wave lattice equations with random viscosity	2
Evolution of dispersal by memory and learning in integrodifference equation models	2
A higher order compact numerical approach for singularly perturbed parabolic problem with retarded term	2
Topological entropy of induced spaces for an iterated function system	2
Some limit relationships between some two-variable finite and infinite sequences of orthogonal polynomials	2
Foreword to the special issue of Journal of Difference Equations and Applications on ‘Invertible and Noninvertible Maps: Theory and Applications’	2
Equivalence of the descents statistic on some (4,4)-avoidance classes of permutations	2
Mathematical model of measles transmission dynamics using real data from Nigeria	2
Unfolding numbers for interval maps	2
Multi-transitivity of semigroup actions	2
Nonstandard finite difference methods for a convective predator-prey pursuit and evasion model	2
Oscillations of deviating difference equations with continuous time and oscillatory coefficients	2
A generalized family of transcendental functions with one dimensional Julia sets	2
A weighted extension of Fibonacci numbers	2
Unilateral global structure for discrete Dirichlet problem with Minkowski-curvature operator	2
On the dynamics of cubic polynomials	2
A discrete population game model of vaccination exploring the role of individuals' risk perceptions in the invasion of a mutant strain	2
Research on actual or industrial applications of difference equations: a chimerical task?	2
An efficient finite difference method for coupled systems of singularly perturbed parabolic convection-diffusion problems	2
A new half-step compact exponential approximation for solution of 2D fourth-order non-linear parabolic equations	2
On the continuity of Bohl exponents	2
K-symbol fractional order discrete-time models of Lozi system	2
A unimodal sequence with mode at a quarter length	1
Second-order iterative learning control for a class of switched discrete-time systems with model uncertainties, external noises and time-delay	1
Modeling the population dynamics and movement of Zebra mussels	1
Nonstandard finite difference schemes for the HIV infection model of CD4 + T-cells	1
On rotated CMV operators and orthogonal polynomials on the unit circle	1
Mathematical modelling and transmission dynamic of SEIRVQD model for epidemic diseases	1
Population growth in discrete time: a renewal equation oriented survey	1
On stability of a reaction diffusion system described by difference equations	1
Asymptotic behaviour of non-autonomous discrete complex Ginzburg–Landau equations driven by nonlinear noise	1
Extending nonstandard finite difference scheme rules to systems of nonlinear ODEs with constant coefficients	1
Discrete networked dynamic systems with mode separation: state and output synchronization	1
Correction	1
Degenerate Neimark–Sacker bifurcation of a second-order rational difference equation	1
Some characterizations of the symmetric q -Dunkl-semiclassical orthogonal q -polynomials	1
Dynamical behaviour in discrete coupled within-host and between-host epidemic model with environmentally driven and saturation incidence	1
R I biorthogonal polynomials of Hahn type	1
Analysis of a numerical technique for a singularly perturbed parabolic convection–diffusion interface problem with time delay	1
Fast high-accuracy compact conservative difference schemes for solving the nonlinear Schrödinger equation	1
Stern-Brocot tree and Ducci map	1
Septic Hermite collocation method for the numerical solution of Benjamin–Bona–Mahony–Burgers equation	1
On sensitivity and transitivity of a dynamical system and its induced dynamical systems	1
A parametric congruence motivated by Orr's identity	1
The asymptotic log-convexity of Apéry-like numbers	1
Gosper summability of rational multiples of hypergeometric terms	1
The dynamics of superposition of non-Volterra quadratic stochastic operators	1
Proof of some conjectural congruences involving Apéry-like sequences	1
Trigonometric B-spline based ε-uniform scheme for singularly perturbed problems with Robin boundary conditions	1
Global asymptotic stability of a discrete periodic haematopoietic model with mixed feedbacks	1
Evolution maps and symmetry	1
Statement of Retraction: on the dynamics of hypersurfaces foliated byn−2-dimensional oriented hyperspheres in Sn	1
Scrambled sets and chain recurrence points of generic graph maps	1
Discrete-time host-parasitoid model incorporating dynamic regulatory factor for integrated control measures	1
A nullcline approach to global stability in discrete-time predator–prey models	1
A discrete-time dynamical system of mosquito population	1
Hyperbolicity of delay equations via cocycles	1
Remarks on minimal sets on dendrites and finite graphs	1
Weak multi-sensitive compactness and mean sensitivity for linear operators	1
Combinatorial identities involving reciprocals of the binomial and central binomial coefficients and harmonic numbers	1
Qualitative and asymptotic analysis of repulsion systems with diverse applications	1
A global picture for the planar Ricker map: convergence to fixed points and identification of the stable/unstable manifolds	1
Matrix similarity transformations derived from extended q-analogues of the Toda equation and Lotka–Volterra system	1
A description of the spectrum of Sergeev frequencies of zeros of linear difference equations	1

Right fractional calculus to inverse-time chaotic maps and asymptotic stability analysis	1
On solutions for some class of integrable difference equations	1
Basic theory of finite-type relations between orthogonal polynomial sequences	1
Bifurcation, chaos and multi-stability regions in an asset pricing model with three subsystems	1
Iteration of a certain continued fraction map	1
Positive solutions for a discrete Dirichlet problem involving the mean curvature operator	1
n -dimensional Kolmogorov maps, carrying simplices, and bifurcations at the origin	1
An efficient fourth-order convergent scheme based on half-step spline function for two-point mixed boundary value problems	1
Second-order difference equation for Sobolev-type orthogonal polynomials: Part I: theoretical results	1
A second-order difference scheme for the singularly perturbed Sobolev problems with third type boundary conditions on Bakhvalov mesh	1
Convergence analysis for iterative learning control of impulsive linear discrete delay systems	1
Continuity of the spectral radius, applied to structured semelparous two-sex population models	1
Generalized discrete and ultradiscrete Burgers equations derived through the correlated random walk	1
Relatively pointwise recurrence on local dendrites	1
Concentration inequalities and rates of convergence of the ergodic theorem for countable shifts with Gibbs measures	1
Neimark–Sacker bifurcation of two second-order rational difference equations	1
General q -series transformations based on Abel's lemma on summation by parts and their applications	1
Chaos in popular metaheuristic optimizers – a bibliographic analysis	1
Stability analysis of mathematical model for spread of pest in tea plant by RKM-4 and ABM-2	1
Meromorphic functions of finiteφ-order and linearq-difference equations	1
Capturing chaos: a multidisciplinary approach to nonlinear population dynamics	1
Homoclinic chaos in a perennial grass model	1