Journal of Difference Equations and Applications

Article	Citations
Some q-supercongruences for truncated forms of squares of basic hypergeometric series	18
An efficient Mickens' type NSFD scheme for the generalized Burgers Huxley equation	15
Weakly contractive iterated function systems and beyond: a manual	15
Mathematical model of measles transmission dynamics using real data from Nigeria	15
Second-order parameter-uniform finite difference scheme for singularly perturbed parabolic problem with a boundary turning point	14
An adaptive difference scheme for parabolic delay differential equation with discontinuous coefficients and interior layers	13
Existence of multiple and sign-changing solutions for a second-order nonlinear functional difference equation with periodic coefficients	13
Uniformly historic behaviour in compact dynamical systems	12
Nonstandard finite difference method revisited and application to the Ebola virus disease transmission dynamics	12
Some variations of a ‘divergent’ Ramanujan-type q-supercongruence	12
Asymptotic autonomous attractors for a stochastic lattice model with random viscosity	11
Zeros of recursively defined polynomials	10
Necessary and sufficient conditions for the roots of a cubic polynomial and bifurcations of codimension-1, -2, -3 for 3D maps	10
A discrete-time model with non-monotonic functional response and strong Allee effect in prey	10
Stability and Neimark–Sacker bifurcation for a discrete Nicholson's blowflies model with proportional delay	9
Convergence analysis for iterative learning control of impulsive linear discrete delay systems	9
Bifurcation analysis and hybrid control of a discrete-time predator–prey model	9
Analytical and numerical convexity results for discrete fractional sequential differences with negative lower bound	8
On existence and uniqueness of a modified carrying simplex for discrete Kolmogorov systems	8
Small perturbations of smooth skew products and Sharkovsky's theorem	7
General theory of the higher-order quaternion linear difference equations via the complex adjoint matrix and the quaternion characteristic polynomial	7
Monotonicity results for sequential fractional differences of mixed orders with negative lower bound	7
On regular curve homeomorphisms without periodic points	6
On the exact and numerical complex travelling wave solution to the nonlinear Schrödinger equation	6
Complexity and chaos control in a discrete-time Lotka–Volterra predator–prey system	6

Congruences and telescopings of P-recursive sequences	6
Right fractional calculus to inverse-time chaotic maps and asymptotic stability analysis	6
An analysis of polynomial sequences and their application to discrete fractional operators	6
Long-term dynamics of discrete-time predator–prey models: stability of equilibria, cycles and chaos	6
Septic Hermite collocation method for the numerical solution of Benjamin–Bona–Mahony–Burgers equation	6
Random attractors for multi-valued multi-stochastic delayed p-Laplace lattice equations	6
On some Sobolev spaces with matrix weights and classical type Sobolev orthogonal polynomials	5
A numerical method for solving hyperbolic partial differential equations with piecewise constant arguments and variable coefficients	5
A note on a positivity preserving nonstandard finite difference scheme for a modified parabolic reaction–advection–diffusion PDE	5
An entropy based on a fractional difference operator	5
An improvement of two nonstandard finite difference schemes for two population mathematical models	5
K-symbol fractional order discrete-time models of Lozi system	5
On the forward dynamical behaviour of nonautonomous lattice dynamical systems	5
q-difference equations for homogeneous q-difference operators and their applications	5
About stability of difference equations with square summable level of stochastic perturbations	5
On construction of almost periodic sequences and applications to some discrete population models	4
Some q-congruences on double basic hypergeometric sums	4
Renormalized oscillation theory for symplectic eigenvalue problems with nonlinear dependence on the spectral parameter	4
Fast high-accuracy compact conservative difference schemes for solving the nonlinear Schrödinger equation	4
Dynamical behaviour in discrete coupled within-host and between-host epidemic model with environmentally driven and saturation incidence	4
Emission charge controllability in Cournot duopoly: static and dynamic effects	4
A high order robust numerical scheme for the generalized Stein's model of neuronal variability	4
Applications of the novel diamond alpha Hardy–Copson type dynamic inequalities to half linear difference equations	4
Bifurcation, global dynamics and synchronization in a Bertrand game with R&D spillover and semi-collusion	4
Meromorphic functions of finiteφ-order and linearq-difference equations	4
Topological properties of Lorenz maps derived from unimodal maps	4
Exponential dichotomy for noninvertible linear difference equations	4
On the performance of some NSFD methods for a 2-D generalized Burgers–Huxley equation	4
On rotated grid point iterative method for solving 2D fractional reaction–subdiffusion equation with Caputo–Fabrizio operator	4
Orthogonal polynomials, bi-confluent Heun equations and semi-classical weights	4
An efficient numerical method for solving Benjamin–Bona–Mahony–Burgers equation using difference scheme	4
Controlling chimera and solitary states by additive noise in networks of chaotic maps	3
Proof of some conjectural congruences modulo p3	3
Which orbit types force only finitely many orbit types?	3
Global dynamics of a special class of nonlinear semelparous Leslie matrix models	3
Stochastic implicit difference equations of index-1	3
Discrete Kirchhoff equations with sign-changing coefficients	3
Stability analysis of a time varying population model without migration	3
Existence proofs for strange attractors in piecewise-smooth nonlinear Lozi-Hénon and Belykh maps	3
Dynamics of a discrete eco-epidemiological model with disease in the prey	3
Propagation threshold in an integrodifference predator–prey system of Leslie–Gower type	3
Spatial maxima, unimodality, and asymptotic behaviour of solutions to discrete diffusion-type equations	3
A second-order difference scheme for the singularly perturbed Sobolev problems with third type boundary conditions on Bakhvalov mesh	3
A nullcline approach to global stability in discrete-time predator–prey models	3
Aθ-finite difference scheme based on cubic B-spline quasi-interpolation for the time fractional Cattaneo equation with Caputo–Fabrizio operator	3
The Lorenz model in discrete time	3
Visibility in pattern-restricted permutations	3
Stability of coupled Huygens oscillators	3
Nonlinear dynamic and chaos in a remanufacturing duopoly game with heterogeneous players and nonlinear inverse demand functions	3
On Shilnikov attractors of three-dimensional flows and maps	3

Chaos in popular metaheuristic optimizers – a bibliographic analysis	3
A non-standard finite difference scheme for a class of predator–prey systems with non-monotonic functional response	3
Aβ-Sturm–Liouville problem associated with the general quantum operator	3
Discrete-time versus continuous-time toxic predation models	2
Numerical approximation to the MEW equation for the single solitary wave and different types of interactions of the solitary waves	2
Discrete networked dynamic systems with mode separation: state and output synchronization	2
A higher-dimensional generalization of the Lozi map: bifurcations and dynamics	2
Convex polyominoes revisited: enumeration of outer site perimeter, interior vertices, and boundary vertices of certain degrees	2
Potential difference games and applications	2
On the zero-multiplicity of the k-generalized Fibonacci sequence	2
A high accuracy compact semi-constant mesh off-step discretization in exponential form for the solution of non-linear elliptic boundary value problems	2
Memristor-based Gauss chaotic maps with hidden/self-exited dynamics	2
A class of new successive permutation iterative algorithms for diffusion equation	2
On target-oriented control of Hénon and Lozi maps	2
Bifurcation analysis of a piecewise-smooth Ricker map with proportional threshold harvesting	2
Chaotic behaviour of countable products of homeomorphism groups	2
Enhanced design and hardware implementation of a chaos-based block cipher for image protection	2
Derivation of weighting rules for developing a class of A-stable numerical integration scheme: αI-(2 + 3)P method	2
2-Orthogonal polynomials and Darboux transformations. Applications to the discrete Hahn-classical case	2
Trigonometric B-spline based ε-uniform scheme for singularly perturbed problems with Robin boundary conditions	2
Inverse problems for Jacobi operators with mixed spectral data	2
Asymptotic behaviour of semi-canonical third-order functional difference equations	2
A boundedness and monotonicity preserving method for a generalized population model	2
Well-posedness and dynamics of double time-delayed lattice FitzHugh–Nagumo systems	2
Periods of a max-type equation	2
Global exponential stability of discrete-time Hopfield neural network models with unbounded delays	2
A note on a positivity preserving hyperbolic NSFD scheme for heat transfer	2
Chaotic attractors of discrete dynamical systems used in the core of evolutionary algorithms: state of art and perspectives	2
Nonlinear dynamics and hyperchaos in a modified memristor-based Chua's circuit and its generalized discrete system	2
On the global dynamical properties of a Fermi–Ulam model	2
Gosper summability of rational multiples of hypergeometric terms	2
Some limit relationships between some two-variable finite and infinite sequences of orthogonal polynomials	2
Visibility in restricted involutions	2
Existence of positive strongly decaying solutions of second-order nonlinear q-difference equations	2
Smooth conjugacy of difference equations derived from elliptic curves	2
Sensitivity and chaos on product and on hyperspatial semiflows	2
The single-indexed exceptional Krawtchouk polynomials	2
Random exponential attractor for a non-autonomous Zakharov lattice system with multiplicative white noise	2
On a discrete model of tumour–immune system interactions with blockade of immune checkpoints	2
Weighted pseudo asymptotically antiperiodic sequential solutions to semilinear difference equations	2
Detecting invariant expanding cones for generating word sets to identify chaos in piecewise-linear maps	2
Border collision bifurcations in a piecewise linear duopoly model	2
A robust nonstandard finite difference scheme for pricing real estate index options	2
On the quasi-hyperbolic regime in a certain family of 2-D piecewise linear maps	1
Recurrence and nonwandering sets of local dendrite maps	1
On nonlinear discrete Sturm–Liouville boundary value problems with unbounded nonlinearities	1
Remarks on minimal sets on dendrites and finite graphs	1
The SEIR Covid-19 model described by fractional-order difference equations: analysis and application with real data in Brazil	1
Consistent discrete global dynamics of a general initial boundary value problem for hepatitis B virus infection with capsids and adaptive immunity	1
Stable manifolds for difference equations with infinite delay	1
Global attractivity of a unique positive periodic solution for a first-order nonlinear difference equation with time delays	1
Controlling chaotic transients in the Hénon and the Lozi map with the safety function	1
An efficient finite difference method for coupled systems of singularly perturbed parabolic convection-diffusion problems	1
Explicit formulas of sums involving harmonic numbers and Stirling numbers	1
Analysis of a map-based neuronal model	1
On the unboundedness of the transit time of mean-median orbits	1
Reduced transfer operators for singular difference equations	1
Stability analysis of mathematical model for spread of pest in tea plant by RKM-4 and ABM-2	1
Dispersal-driven coexistence in a multiple-patch competition model for zebra and quagga mussels	1
The logarithmic Cauchy quotient mean	1
q-Analogues of some supercongruences related to Euler numbers	1
A transitive homeomorphism on the Lelek fan	1
On the relationship between Lozi maps and max-type difference equations	1
Discrete Melnikov functions	1
Limit periodic perturbations of difference systems with coefficients from commutative groups	1
Lozi map embedded into the 2D border collision normal form	1
On the convergence of NSFD schemes for a new class of advection–diffusion–reaction equations	1
A three-level implicit difference scheme for solving the inviscid Burgers' equation with time delay	1
A Siegel theorem for periodic difference systems	1
Dynamics of the Secant map near infinity	1
On discrete coherent pairs of measures	1
Counting set partitions by the number of movable letters	1
Topological pressures of a factor map for free semigroup actions	1
Optimal placement of sensor and actuator for controlling the piecewise linear Chua circuit via a discretized controller	1
Travelling wave solutions in a predator–prey integrodifference system	1
Convergence and stability of meshfree method based on radial basis function for a hyperbolic partial differential equation with piecewise constant arguments	1
Asymptotic behaviour of non-autonomous discrete complex Ginzburg–Landau equations driven by nonlinear noise	1
The convergence of two linearized finite difference schemes for the modified phase field crystal equation	1
Chaotic attractors captured from remote sensing time series for the dynamics of cereal crops	1
The roles that shooting methods can play in the theory of discrete boundary value problems	1

Mathematical modelling and nonstandard finite scheme analysis for an Ebola model transmission with information and voluntary isolation	1
Population growth in discrete time: a renewal equation oriented survey	1
Wolbachia spread dynamics in mosquito populations in cyclic environments	1
New approach for the chaotic dynamical systems involving Caputo-Prabhakar fractional derivative using Adams-Bashforth scheme	1
Stern-Brocot tree and Ducci map	1
Dynamics of quadratic stochastic operators generated by China's five element philosophy	1
Application of periodic Bernoulli polynomials in approximating the solution of linear time-delay optimal control problems	1
Generalizations of Rodrigues type formulas for hypergeometric difference equations on nonuniform lattices	1
The effects of three release strategies on Wolbachia infection frequency in mosquito populations	1
A discrete and q asymptotic iteration method	1
Existence of the carrying simplex for a retrotone map	1
On the use of chaotic dynamics for mobile network design and analysis: towards a trace data generator	1
Markov partition in the attractor of Lozi maps	1
Unique positive solutions to q-discrete equations associated with orthogonal polynomials	1
Applications of rational difference equations to spectral graph theory	1
Pillai's problem with k-Fibonacci and Pell numbers	1
Second-order iterative learning control for a class of switched discrete-time systems with model uncertainties, external noises and time-delay	1
Asymptotically stable heteroclinic cycles in discrete-time -equivariant cubic dynamical systems	1
On an anisotropic discrete boundary value problem of Kirchhoff type	1
Qualitative properties and two strong resonances of a discrete reduced Lorenz system	1
Dynamic game model for R&D strategy in high-tech enterprises	1
Pastro polynomials and Sobolev-type orthogonal polynomials on the unit circle based on a q-difference operator	1
Capturing chaos: a multidisciplinary approach to nonlinear population dynamics	1
Statistical self-similarity in Lozi and Hénon's strange attractors	1
Generic and dense distributional chaos with shadowing	1
The ideal free distribution and the evolution of partial migration	1
Gosper–type sums with reciprocals of binomial coefficients of the form (3n+ϵn)	1
Dynamics of three-dimensional A-diffeomorphisms with two-dimensional attractors and repellers	1
Reversing the paths in the Ducci tree	1
An elementary approach to solve recursions relative to the enumeration of S-Motzkin paths	1
A global picture for the planar Ricker map: convergence to fixed points and identification of the stable/unstable manifolds	1
Global behaviour of a class of discrete epidemiological SI models with constant recruitment of susceptibles	1
Search for invariant sets of the generalized tent map	1
Evolution maps and symmetry	1
Iterative roots of exclusive multifunctions	1
Option pricing: the reduced-form SDE model	1
Lyapunov-type inequalities for third-order linear and half-linear difference equations and extensions	1
Bohr/Levitan almost periodic and almost automorphic solutions of monotone difference equations with a strict monotone first integral	1
A sufficient condition for stability using slopes of isoclines in planar mappings	1
Ramified continua as global attractors of C 1 -smooth self-maps of a cylinder close to skew products	1
Stability of a stochastic discrete SIS epidemic model with general nonlinear incidence rate	1
On secure communication scheme-based mixed discrete-time hyperchaotic systems	1
Exponential dichotomy for noninvertible linear difference equations: block triangular systems	1
Multi-transitivity of semigroup actions	1
On the existence of the stabilizing solution of generalized Riccati equations arising in zero-sum stochastic difference games: the time-varying case	1
On the symmetrization and composition of nonstandard finite difference schemes as an alternative to Richardson's extrapolation	1
A bivariate generating function for zeta values and related supercongruences	1
Dimensions of slices through the Sierpiński gasket	1
A WZ proof for a Ramanujan-like series involving cubed binomial coefficients	1