Journal of Difference Equations and Applications

Article	Citations
Polynomial continued fractions for exp(π)	22
Gosper–type sums with reciprocals of binomial coefficients of the form (3n+ϵn)	16
A higher order implicit adaptive finite point method for the Burgers' equation	13
On the stability of delayed linear discrete-time systems with periodic coefficients	13
The new notion of Bohl dichotomy for non-autonomous difference equations and its relation to exponential dichotomy	12
Mathematical modelling and nonstandard finite scheme analysis for an Ebola model transmission with information and voluntary isolation	10
The convergence of two linearized finite difference schemes for the modified phase field crystal equation	10
Chaos theory, complexity theory, catastrophe theory, and the enigmatic concept of chaoplexity Chaos theory, complexity theory, catastrophe theory, and the enigmatic concept of chaoplexi	10
Increasing solutions of simultaneous Poincaré equations	8
Dynamic game model for R&D strategy in high-tech enterprises	8
Continuous and discontinuous piecewise-smooth one-dimensional maps. Invariant sets and bifurcation structures	8
Border collision bifurcations in a piecewise linear duopoly model	8
Ramanujan-inspired series for 1/π involving harmonic numbers	7
Delay-dependent set-invariance for linear difference equations with multiple delays: a polyhedral approach	7
Two kinds of analytical solutions to Feigenbaum–Kadanoff–Shenker equation	7
The evolutionary stability of partial migration with Allee effects	7
Border-collision bifurcations from stable fixed points to any number of coexisting chaotic attractors	7
Examining the influence of prey dynamics on predator–prey interactions	7
The impact of dispersal and allee effects on tick invasion: a spatially-explicit discrete-time modelling approach	7
Indeterminate moment problem associated with continuous dual q-Hahn polynomials	6
Global behaviour of a class of discrete epidemiological SI models with constant recruitment of susceptibles	6
Monotone continuous solutions of an equation in linear combination of alternative iterates	6
Geometric limits of mixed families	6
Entire functions of slow growth whose Julia set contains any infinite collection of quasiconformal copies of polynomial Julia sets	6
Global exponential stability of discrete-time Hopfield neural network models with unbounded delays	6

A Fibonacci type sequence with Prouhet–Thue–Morse coefficients	6
On the quasi-hyperbolic regime in a certain family of 2-D piecewise linear maps	5
Strongly convex solutions of a polynomial-like iterative equation with variable coefficients	5
An elementary approach to solve recursions relative to the enumeration of S-Motzkin paths	5
Chaotic attractors of discrete dynamical systems used in the core of evolutionary algorithms: state of art and perspectives	5
Structural graph and backward asymptotics of tent-like unimodal maps	5
Controlled two-dimensional Markov chains between two absorbing barriers	5
Optimal placement of sensor and actuator for controlling the piecewise linear Chua circuit via a discretized controller	5
Some novel exact and non-standard finite difference schemes for a class of diffusion–advection–reaction equation	5
A note on a q -difference equation related to Riccati equations	5
On the dynamics of non-Volterra quadratic operators corresponding to permutations	4
From Boolean networks to linear dynamical systems: a simplified route	4
Hypergeometric series and generalized harmonic numbers	4
Random exponential attractor for a non-autonomous Zakharov lattice system with multiplicative white noise	4
Wolbachia spread dynamics in mosquito populations in cyclic environments	4
Dynamics of quadratic stochastic operators generated by China's five element philosophy	4
Statistical self-similarity in Lozi and Hénon's strange attractors	4
Weighted pseudo asymptotically antiperiodic sequential solutions to semilinear difference equations	4
Random attractors for multi-valued multi-stochastic delayed p-Laplace lattice equations	4
Packing measure and dimension of the limit sets of IFSs of generalized complex continued fractions	4
An analysis of polynomial sequences and their application to discrete fractional operators	4
Aθ-finite difference scheme based on cubic B-spline quasi-interpolation for the time fractional Cattaneo equation with Caputo–Fabrizio operator	4
A class of new successive permutation iterative algorithms for diffusion equation	4
A current-value Hamiltonian approach to discrete-time optimal control problems in economic growth theory	4
Well-posedness and dynamics of double time-delayed lattice FitzHugh–Nagumo systems	4
1:4 resonance, Arnold tongues and Marotto's chaos of a discrete reduced Lorenz system	3
A three-level implicit difference scheme for solving the inviscid Burgers' equation with time delay	3
Discrete Kirchhoff equations with sign-changing coefficients	3
Topological conjugacy for multifunctions with finitely many set-valued points and an application to iterative roots	3
Polynomial solutions to the first order difference equations in the bivariate difference field	3
Five classes of pattern avoiding inversion sequences under one roof: generating trees	3
Cantor and connected Julia sets of the parameterized Dixon elliptic functions	3
On the use of chaotic dynamics for mobile network design and analysis: towards a trace data generator	3
On existence and uniqueness of a modified carrying simplex for discrete Kolmogorov systems	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
The paths of nine mathematicians to the realm of dynamical systems	3
On partially periodic point free self-maps on the wedge sums of spheres	3
On two-term hypergeometric recursions with free lower parameters	3
An exact finite difference scheme for a three-layer beam model	3
Emission charge controllability in Cournot duopoly: static and dynamic effects	3
Annealed central limit theorem for a class of contractive random dynamical systems	3
Unilateral global structure for discrete Dirichlet problem with Minkowski-curvature operator	3
Two variable Freud orthogonal polynomials and matrix Painlevé-type difference equations	3
A higher-dimensional generalization of the Lozi map: bifurcations and dynamics	3
Limit cycles of piecewise smooth differential systems of the type nonlinear centre and saddle	3
Retraction: Research on closed-loop supply chain coordination control model based on difference equation load model	3
The SEIR Covid-19 model described by fractional-order difference equations: analysis and application with real data in Brazil	3
Multi-transitivity of semigroup actions	3
Visibility in restricted involutions	3
On the ω-multiple Meixner polynomials of the second kind	3

Variational principle for nonlinear weighted topological pressure	3
The dynamics of one-dimensional quasi-affine maps	3
A transitive homeomorphism on the Lelek fan	3
Dynamics of q deformed Ricker map	3
Bifurcation analysis of a piecewise-smooth Ricker map with proportional threshold harvesting	3
Symmetric solutions to symmetric partial difference equations	3
On discrete coherent pairs of measures	2
Second-order parameter-uniform finite difference scheme for singularly perturbed parabolic problem with a boundary turning point	2
Nonstandard finite difference methods for a convective predator-prey pursuit and evasion model	2
An efficient finite difference method for coupled systems of singularly perturbed parabolic convection-diffusion problems	2
On the continuity of Bohl exponents	2
Degenerate Neimark–Sacker bifurcation of a second-order rational difference equation	2
Topological entropy of induced spaces for an iterated function system	2
Communication dynamics of a two-agent interaction model with applications to human-autonomy teaming	2
Research on actual or industrial applications of difference equations: a chimerical task?	2
K-symbol fractional order discrete-time models of Lozi system	2
Discrete diffusion-type equation on regular graphs and its applications	2
Limit periodic perturbations of difference systems with coefficients from commutative groups	2
A weighted extension of Fibonacci numbers	2
Stability of stochastic difference equations with multiplicative and additive fading noise	2
A unimodal sequence with mode at a quarter length	2
On the dynamics of cubic polynomials	2
Generalized discrete and ultradiscrete Burgers equations derived through the correlated random walk	2
Method for predicting the lost input of iterative learning control systems over AWGN channels	2
Applications of rational difference equations to spectral graph theory	2
Characterizations of topological dynamical IP* sets	2
Evolution of dispersal by memory and learning in integrodifference equation models	2
A generalized family of transcendental functions with one dimensional Julia sets	2
Stability of a stochastic discrete SIS epidemic model with general nonlinear incidence rate	2
Mathematical model of measles transmission dynamics using real data from Nigeria	2
Discrete networked dynamic systems with mode separation: state and output synchronization	2
Matrix similarity transformations derived from extended q-analogues of the Toda equation and Lotka–Volterra system	2
A numerical method for solving hyperbolic partial differential equations with piecewise constant arguments and variable coefficients	2
Scrambled sets and chain recurrence points of generic graph maps	2
Statement of retraction: A generalized real option pricing method of R&D investments: jump diffusion and external competition	2
Foreword to the special issue of Journal of Difference Equations and Applications on ‘Invertible and Noninvertible Maps: Theory and Applications’	2
Asymptotically autonomous robustness of random attractors for the stochastic wave lattice equations with random viscosity	2
Global asymptotic stability of evolutionary periodic Ricker competition models	2
A higher order compact numerical approach for singularly perturbed parabolic problem with retarded term	2
Oscillations of deviating difference equations with continuous time and oscillatory coefficients	2
On the exact and numerical complex travelling wave solution to the nonlinear Schrödinger equation	2
Equivalence of the descents statistic on some (4,4)-avoidance classes of permutations	1
Dedication	1
Right fractional calculus to inverse-time chaotic maps and asymptotic stability analysis	1
Reversing the paths in the Ducci tree	1
A global picture for the planar Ricker map: convergence to fixed points and identification of the stable/unstable manifolds	1
A discrete-time dynamical system of mosquito population	1
Basic theory of finite-type relations between orthogonal polynomial sequences	1
Mathematical modelling and transmission dynamic of SEIRVQD model for epidemic diseases	1
Relatively pointwise recurrence on local dendrites	1
On stability of a reaction diffusion system described by difference equations	1
Some limit relationships between some two-variable finite and infinite sequences of orthogonal polynomials	1
Analysis of a numerical technique for a singularly perturbed parabolic convection–diffusion interface problem with time delay	1
n -dimensional Kolmogorov maps, carrying simplices, and bifurcations at the origin	1
Weak multi-sensitive compactness and mean sensitivity for linear operators	1
Stability analysis of mathematical model for spread of pest in tea plant by RKM-4 and ABM-2	1
Modeling the population dynamics and movement of Zebra mussels	1
Correction	1
Statement of Retraction: on the dynamics of hypersurfaces foliated byn−2-dimensional oriented hyperspheres in Sn	1
Remarks on minimal sets on dendrites and finite graphs	1
Global asymptotic stability of a discrete periodic haematopoietic model with mixed feedbacks	1
Trigonometric B-spline based ε-uniform scheme for singularly perturbed problems with Robin boundary conditions	1
Non-constant periodic solutions of the Ricker model with periodic parameters	1
Dynamical behaviour in discrete coupled within-host and between-host epidemic model with environmentally driven and saturation incidence	1
On some congruences involving Apéry-like numbers Sn	1
Meromorphic functions of finiteφ-order and linearq-difference equations	1
Concentration inequalities and rates of convergence of the ergodic theorem for countable shifts with Gibbs measures	1
Proof of some conjectural congruences involving Apéry-like sequences	1
The ideal free distribution and the evolution of partial migration	1
The asymptotic log-convexity of Apéry-like numbers	1
An efficient fourth-order convergent scheme based on half-step spline function for two-point mixed boundary value problems	1
General q -series transformations based on Abel's lemma on summation by parts and their applications	1
Visibility in non-crossing and non-nesting partitions	1
R I biorthogonal polynomials of Hahn type	1
Combinatorial identities involving reciprocals of the binomial and central binomial coefficients and harmonic numbers	1
Bifurcation, chaos and multi-stability regions in an asset pricing model with three subsystems	1
A non-standard finite difference scheme for a class of predator–prey systems with non-monotonic functional response	1
Hyperbolicity of delay equations via cocycles	1
Qualitative and asymptotic analysis of repulsion systems with diverse applications	1
Population growth in discrete time: a renewal equation oriented survey	1

Pastro polynomials and Sobolev-type orthogonal polynomials on the unit circle based on a q-difference operator	1
Extending nonstandard finite difference scheme rules to systems of nonlinear ODEs with constant coefficients	1
Discrete-time host-parasitoid model incorporating dynamic regulatory factor for integrated control measures	1
Iteration of a certain continued fraction map	1
Stern-Brocot tree and Ducci map	1
The dynamics of superposition of non-Volterra quadratic stochastic operators	1
On variants of n-sensitivity in semiflows	1
Convergence analysis for iterative learning control of impulsive linear discrete delay systems	1
Spatial maxima, unimodality, and asymptotic behaviour of solutions to discrete diffusion-type equations	1
Evolution maps and symmetry	1
The roles that shooting methods can play in the theory of discrete boundary value problems	1
Solvability and stability of switched discrete-time linear singular systems under Lipschitz perturbations	1
A nullcline approach to global stability in discrete-time predator–prey models	1
Septic Hermite collocation method for the numerical solution of Benjamin–Bona–Mahony–Burgers equation	1
Neimark–Sacker bifurcation of two second-order rational difference equations	1
Some characterizations of the symmetric q -Dunkl-semiclassical orthogonal q -polynomials	1
Chaos in popular metaheuristic optimizers – a bibliographic analysis	1
Analytical and numerical convexity results for discrete fractional sequential differences with negative lower bound	1
A discrete population game model of vaccination exploring the role of individuals' risk perceptions in the invasion of a mutant strain	1
On sensitivity and transitivity of a dynamical system and its induced dynamical systems	1
On rotated CMV operators and orthogonal polynomials on the unit circle	1
Homoclinic chaos in a perennial grass model	1
Second-order difference equation for Sobolev-type orthogonal polynomials: Part I: theoretical results	1
Capturing chaos: a multidisciplinary approach to nonlinear population dynamics	1
Continuity of the spectral radius, applied to structured semelparous two-sex population models	1
A second-order difference scheme for the singularly perturbed Sobolev problems with third type boundary conditions on Bakhvalov mesh	1
Asymptotic behaviour of non-autonomous discrete complex Ginzburg–Landau equations driven by nonlinear noise	1
An eigenvalue condition and the equivalence of two-dimensional maps	1
Fast high-accuracy compact conservative difference schemes for solving the nonlinear Schrödinger equation	1
Positive periodic solution of second-order difference equation with a repulsive singularity	1
Stability and Neimark–Sacker bifurcation for a discrete Nicholson's blowflies model with proportional delay	1
Uniformly historic behaviour in compact dynamical systems	1