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)	13
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	12
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
The new notion of Bohl dichotomy for non-autonomous difference equations and its relation to exponential dichotomy	10
Mathematical modelling and nonstandard finite scheme analysis for an Ebola model transmission with information and voluntary isolation	10
The impact of dispersal and allee effects on tick invasion: a spatially-explicit discrete-time modelling approach	8
Some novel exact and non-standard finite difference schemes for a class of diffusion–advection–reaction equation	8
Global behaviour of a class of discrete epidemiological SI models with constant recruitment of susceptibles	8
Indeterminate moment problem associated with continuous dual q-Hahn polynomials	8
Optimal placement of sensor and actuator for controlling the piecewise linear Chua circuit via a discretized controller	8
Examining the influence of prey dynamics on predator–prey interactions	8
An elementary approach to solve recursions relative to the enumeration of S-Motzkin paths	8
On the dynamics of non-Volterra quadratic operators corresponding to permutations	7
Statistical self-similarity in Lozi and Hénon's strange attractors	7
Aθ-finite difference scheme based on cubic B-spline quasi-interpolation for the time fractional Cattaneo equation with Caputo–Fabrizio operator	7
Random attractors for multi-valued multi-stochastic delayed p-Laplace lattice equations	6
Weighted pseudo asymptotically antiperiodic sequential solutions to semilinear difference equations	6
A class of new successive permutation iterative algorithms for diffusion equation	6
1:4 resonance, Arnold tongues and Marotto's chaos of a discrete reduced Lorenz system	6
An analysis of polynomial sequences and their application to discrete fractional operators	6
Dynamics of quadratic stochastic operators generated by China's five element philosophy	6
Random exponential attractor for a non-autonomous Zakharov lattice system with multiplicative white noise	5
Geometric limits of mixed families	5

Bifurcation analysis of a piecewise-smooth Ricker map with proportional threshold harvesting	5
Entire functions of slow growth whose Julia set contains any infinite collection of quasiconformal copies of polynomial Julia sets	5
Global exponential stability of discrete-time Hopfield neural network models with unbounded delays	5
Continuous and discontinuous piecewise-smooth one-dimensional maps. Invariant sets and bifurcation structures	5
A Fibonacci type sequence with Prouhet–Thue–Morse coefficients	5
Strongly convex solutions of a polynomial-like iterative equation with variable coefficients	5
The convergence of two linearized finite difference schemes for the modified phase field crystal equation	5
Dynamic game model for R&D strategy in high-tech enterprises	5
Delay-dependent set-invariance for linear difference equations with multiple delays: a polyhedral approach	4
Border-collision bifurcations from stable fixed points to any number of coexisting chaotic attractors	4
Chaotic attractors of discrete dynamical systems used in the core of evolutionary algorithms: state of art and perspectives	4
Packing measure and dimension of the limit sets of IFSs of generalized complex continued fractions	4
Hypergeometric series and generalized harmonic numbers	4
Border collision bifurcations in a piecewise linear duopoly model	4
On the quasi-hyperbolic regime in a certain family of 2-D piecewise linear maps	4
Ramanujan-inspired series for 1/π involving harmonic numbers	4
Controlled two-dimensional Markov chains between two absorbing barriers	4
The paths of nine mathematicians to the realm of dynamical systems	4
Structural graph and backward asymptotics of tent-like unimodal maps	4
From Boolean networks to linear dynamical systems: a simplified route	4
Wolbachia spread dynamics in mosquito populations in cyclic environments	4
The evolutionary stability of partial migration with Allee effects	4
A note on a q -difference equation related to Riccati equations	4
Two kinds of analytical solutions to Feigenbaum–Kadanoff–Shenker equation	4
Monotone continuous solutions of an equation in linear combination of alternative iterates	4
Discrete Kirchhoff equations with sign-changing coefficients	3
K-symbol fractional order discrete-time models of Lozi system	3
Mathematical model of measles transmission dynamics using real data from Nigeria	3
Stability of stochastic difference equations with multiplicative and additive fading noise	3
Five classes of pattern avoiding inversion sequences under one roof: generating trees	3
Research on actual or industrial applications of difference equations: a chimerical task?	3
On the use of chaotic dynamics for mobile network design and analysis: towards a trace data generator	3
Polynomial solutions to the first order difference equations in the bivariate difference field	3
On two-term hypergeometric recursions with free lower parameters	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
Nonstandard finite difference methods for a convective predator-prey pursuit and evasion model	3
The dynamics of one-dimensional quasi-affine maps	3
An exact finite difference scheme for a three-layer beam model	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
Global asymptotic stability of evolutionary periodic Ricker competition models	3
Dynamics of q deformed Ricker map	3
Retraction: Research on closed-loop supply chain coordination control model based on difference equation load model	3
Symmetric solutions to symmetric partial difference equations	3
Limit cycles of piecewise smooth differential systems of the type nonlinear centre and saddle	3
Cantor and connected Julia sets of the parameterized Dixon elliptic functions	3
Oscillations of deviating difference equations with continuous time and oscillatory coefficients	3
Topological entropy of induced spaces for an iterated function system	3
Statement of retraction: A generalized real option pricing method of R&D investments: jump diffusion and external competition	3
On partially periodic point free self-maps on the wedge sums of spheres	3

A higher order compact numerical approach for singularly perturbed parabolic problem with retarded term	3
Annealed central limit theorem for a class of contractive random dynamical systems	3
A current-value Hamiltonian approach to discrete-time optimal control problems in economic growth theory	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	2
A transitive homeomorphism on the Lelek fan	2
Unfolding numbers for interval maps	2
A discrete-time dynamical system of mosquito population	2
Applications of rational difference equations to spectral graph theory	2
Unilateral global structure for discrete Dirichlet problem with Minkowski-curvature operator	2
On the continuity of Bohl exponents	2
Evolution of dispersal by memory and learning in integrodifference equation models	2
Two variable Freud orthogonal polynomials and matrix Painlevé-type difference equations	2
Septic Hermite collocation method for the numerical solution of Benjamin–Bona–Mahony–Burgers equation	2
Equivalence of the descents statistic on some (4,4)-avoidance classes of permutations	2
Basic theory of finite-type relations between orthogonal polynomial sequences	2
Discrete diffusion-type equation on regular graphs and its applications	2
Visibility in restricted involutions	2
Topological conjugacy for multifunctions with finitely many set-valued points and an application to iterative roots	2
A higher-dimensional generalization of the Lozi map: bifurcations and dynamics	2
A discrete population game model of vaccination exploring the role of individuals' risk perceptions in the invasion of a mutant strain	2
Dynamic properties of a class of forced positive higher-order scalar difference equations: persistency, stability and convergence	2
A generalized family of transcendental functions with one dimensional Julia sets	2
On discrete coherent pairs of measures	2
A weighted extension of Fibonacci numbers	2
Combinatorial identities involving reciprocals of the binomial and central binomial coefficients and harmonic numbers	2
Characterizations of topological dynamical IP* sets	2
Visibility in non-crossing and non-nesting partitions	2
Emission charge controllability in Cournot duopoly: static and dynamic effects	2
Variational principle for nonlinear weighted topological pressure	2
Stability of a stochastic discrete SIS epidemic model with general nonlinear incidence rate	2
A three-level implicit difference scheme for solving the inviscid Burgers' equation with time delay	2
A new half-step compact exponential approximation for solution of 2D fourth-order non-linear parabolic equations	2
On the dynamics of cubic polynomials	2
Communication dynamics of a two-agent interaction model with applications to human-autonomy teaming	2
Limit periodic perturbations of difference systems with coefficients from commutative groups	2
Asymptotically autonomous robustness of random attractors for the stochastic wave lattice equations with random viscosity	2
Method for predicting the lost input of iterative learning control systems over AWGN channels	2
A non-standard finite difference scheme for a class of predator–prey systems with non-monotonic functional response	2
The dynamics of superposition of non-Volterra quadratic stochastic operators	2
Analysis of a numerical technique for a singularly perturbed parabolic convection–diffusion interface problem with time delay	1
On rotated CMV operators and orthogonal polynomials on the unit circle	1
On Shilnikov attractors of three-dimensional flows and maps	1
Fast high-accuracy compact conservative difference schemes for solving the nonlinear Schrödinger equation	1
Convergence analysis for iterative learning control of impulsive linear discrete delay systems	1
An efficient fourth-order convergent scheme based on half-step spline function for two-point mixed boundary value problems	1
Third-order self-associated orthogonal polynomial sequences	1
Stern-Brocot tree and Ducci map	1
The ideal free distribution and the evolution of partial migration	1
Dedication	1
Global asymptotic stability of a discrete periodic haematopoietic model with mixed feedbacks	1
A global picture for the planar Ricker map: convergence to fixed points and identification of the stable/unstable manifolds	1
Hyperbolicity of delay equations via cocycles	1
Meromorphic functions of finiteφ-order and linearq-difference equations	1
Analytical and numerical convexity results for discrete fractional sequential differences with negative lower bound	1
Capturing chaos: a multidisciplinary approach to nonlinear population dynamics	1
Chaos in popular metaheuristic optimizers – a bibliographic analysis	1
Right fractional calculus to inverse-time chaotic maps and asymptotic stability analysis	1
Some characterizations of the symmetric q -Dunkl-semiclassical orthogonal q -polynomials	1
Population growth in discrete time: a renewal equation oriented survey	1
Discrete networked dynamic systems with mode separation: state and output synchronization	1
A nullcline approach to global stability in discrete-time predator–prey models	1
n -dimensional Kolmogorov maps, carrying simplices, and bifurcations at the origin	1
General q -series transformations based on Abel's lemma on summation by parts and their applications	1
Qualitative and asymptotic analysis of repulsion systems with diverse applications	1
Generalized discrete and ultradiscrete Burgers equations derived through the correlated random walk	1
Discrete-time host-parasitoid model incorporating dynamic regulatory factor for integrated control measures	1
On variants of n-sensitivity in semiflows	1
Mathematical modelling and transmission dynamic of SEIRVQD model for epidemic diseases	1
A WZ proof for a Ramanujan-like series involving cubed binomial coefficients	1
Some limit relationships between some two-variable finite and infinite sequences of orthogonal polynomials	1
Stability analysis of mathematical model for spread of pest in tea plant by RKM-4 and ABM-2	1
Degenerate Neimark–Sacker bifurcation of a second-order rational difference equation	1
Statement of Retraction: on the dynamics of hypersurfaces foliated byn−2-dimensional oriented hyperspheres in Sn	1
Second-order difference equation for Sobolev-type orthogonal polynomials: Part I: theoretical results	1
Extending nonstandard finite difference scheme rules to systems of nonlinear ODEs with constant coefficients	1
Evolution maps and symmetry	1
Iteration of a certain continued fraction map	1
On sensitivity and transitivity of a dynamical system and its induced dynamical systems	1
Remarks on minimal sets on dendrites and finite graphs	1

A unimodal sequence with mode at a quarter length	1
Continuity of the spectral radius, applied to structured semelparous two-sex population models	1
Dynamical behaviour in discrete coupled within-host and between-host epidemic model with environmentally driven and saturation incidence	1
Nonlinear dynamic and chaos in a remanufacturing duopoly game with heterogeneous players and nonlinear inverse demand functions	1
Modeling the population dynamics and movement of Zebra mussels	1
Bifurcation, chaos and multi-stability regions in an asset pricing model with three subsystems	1
Weak multi-sensitive compactness and mean sensitivity for linear operators	1
Homoclinic chaos in a perennial grass model	1
Derivation of weighting rules for developing a class of A-stable numerical integration scheme: αI-(2 + 3)P method	1
On stability of a reaction diffusion system described by difference equations	1
Spatial maxima, unimodality, and asymptotic behaviour of solutions to discrete diffusion-type equations	1
Proof of some conjectural congruences involving Apéry-like sequences	1
An efficient finite difference method for coupled systems of singularly perturbed parabolic convection-diffusion problems	1
On rotated grid point iterative method for solving 2D fractional reaction–subdiffusion equation with Caputo–Fabrizio operator	1
Correction	1
Reversing the paths in the Ducci tree	1
2-Orthogonal polynomials and Darboux transformations. Applications to the discrete Hahn-classical case	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
Foreword to the special issue of Journal of Difference Equations and Applications on ‘Invertible and Noninvertible Maps: Theory and Applications’	1
Matrix similarity transformations derived from extended q-analogues of the Toda equation and Lotka–Volterra system	1
R I biorthogonal polynomials of Hahn type	1
Trigonometric B-spline based ε-uniform scheme for singularly perturbed problems with Robin boundary conditions	1
Relatively pointwise recurrence on local dendrites	1
The asymptotic log-convexity of Apéry-like numbers	1
Neimark–Sacker bifurcation of two second-order rational difference equations	1
Scrambled sets and chain recurrence points of generic graph maps	1
Concentration inequalities and rates of convergence of the ergodic theorem for countable shifts with Gibbs measures	1