OOIR: Observatory of International Research

Papers

(The TQCC of Journal of Difference Equations and Applications is 2. 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 2020-03-01 to 2024-03-01.)

Article	Citations
Some q-supercongruences for truncated forms of squares of basic hypergeometric series	18
Weakly contractive iterated function systems and beyond: a manual	15
Mathematical model of measles transmission dynamics using real data from Nigeria	15
An efficient Mickens' type NSFD scheme for the generalized Burgers Huxley equation	15
Second-order parameter-uniform finite difference scheme for singularly perturbed parabolic problem with a boundary turning point	14
Existence of multiple and sign-changing solutions for a second-order nonlinear functional difference equation with periodic coefficients	13
An adaptive difference scheme for parabolic delay differential equation with discontinuous coefficients and interior layers	13
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
Uniformly historic behaviour in compact dynamical systems	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
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 regular curve homeomorphisms without periodic points	6
On the exact and numerical complex travelling wave solution to the nonlinear Schrödinger equation	6
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 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
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
On construction of almost periodic sequences and applications to some discrete population models	4
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
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
A high accuracy compact semi-constant mesh off-step discretization in exponential form for the solution of non-linear elliptic boundary value problems	2
A class of new successive permutation iterative algorithms for diffusion equation	2
Smooth conjugacy of difference equations derived from elliptic curves	2
Bifurcation analysis of a piecewise-smooth Ricker map with proportional threshold harvesting	2
The single-indexed exceptional Krawtchouk polynomials	2
On a discrete model of tumour–immune system interactions with blockade of immune checkpoints	2
Detecting invariant expanding cones for generating word sets to identify chaos in piecewise-linear maps	2
A robust nonstandard finite difference scheme for pricing real estate index options	2
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
Well-posedness and dynamics of double time-delayed lattice FitzHugh–Nagumo systems	2
Potential difference games and applications	2
Global exponential stability of discrete-time Hopfield neural network models with unbounded delays	2
On the zero-multiplicity of the k-generalized Fibonacci sequence	2
Chaotic attractors of discrete dynamical systems used in the core of evolutionary algorithms: state of art and perspectives	2
Memristor-based Gauss chaotic maps with hidden/self-exited dynamics	2
On target-oriented control of Hénon and Lozi maps	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
Sensitivity and chaos on product and on hyperspatial semiflows	2
Random exponential attractor for a non-autonomous Zakharov lattice system with multiplicative white noise	2
Asymptotic behaviour of semi-canonical third-order functional difference equations	2
Weighted pseudo asymptotically antiperiodic sequential solutions to semilinear difference equations	2
A boundedness and monotonicity preserving method for a generalized population model	2
Border collision bifurcations in a piecewise linear duopoly model	2
Periods of a max-type equation	2
A note on a positivity preserving hyperbolic NSFD scheme for heat transfer	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