OOIR: Observatory of International Research

Papers

(The TQCC of International Journal of Nonlinear Sciences and Numerical Simulation is 4. 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 2020-11-01 to 2024-11-01.)

Article	Citations
N-soliton solutions and the Hirota conditions in (1 + 1)-dimensions	59
Bifurcation, chaos, and circuit realisation of a new four-dimensional memristor system	29
Hypergeometric fractional derivatives formula of shifted Chebyshev polynomials: tau algorithm for a type of fractional delay differential equations	25
Effect of outlet impeller diameter on performance prediction of centrifugal pump under single-phase and cavitation flow conditions	19
Pandemic management by a spatio–temporal mathematical model	18
Unsteady MHD natural convection flow of a nanofluid inside an inclined square cavity containing a heated circular obstacle	18
Graphical structure of extended b-metric spaces: an application to the transverse oscillations of a homogeneous bar	17
Novel periodic and optical soliton solutions for Davey–Stewartson system by generalized Jacobi elliptic expansion method	17
Legendre wavelet residual approach for moving boundary problem with variable thermal physical properties	15
Wavelet collocation methods for solving neutral delay differential equations	14
Construction of breather solutions and N-soliton for the higher order dimensional Caudrey–Dodd–Gibbon–Sawada–Kotera equation arising from wave patterns	13
Numerical solution for the fractional-order one-dimensional telegraph equation via wavelet technique	13
Slippage phenomenon in hydromagnetic peristaltic rheology with hall current and viscous dissipation	13
Numerical study of multi-dimensional hyperbolic telegraph equations arising in nuclear material science via an efficient local meshless method	13
Noninstantaneous impulsive and nonlocal Hilfer fractional stochastic integrodifferential equations with fractional Brownian motion and Poisson jumps	11
Infinite line of equilibriums in a novel fractional map with coexisting infinitely many attractors and initial offset boosting	11
Optimal control for dengue eradication program under the media awareness effect	11
Modeling the spatiotemporal intracellular calcium dynamics in nerve cell with strong memory effects	10
Analysis of (α,β)-order coupled implicit Caputo fractional differential equations using topological degree method	9
Dissipativity analysis of delayed stochastic generalized neural networks with Markovian jump parameters	9
Computational analysis of heat and mass transfer in a micropolar fluid flow through a porous medium between permeable channel walls	9
Extended logistic map for encryption of digital images	8
Research on bifurcation and chaos characteristics of planet gear transmission system with mixed elastohydrodynamic lubrication (EHL) friction	8
Controllability discussion for fractional stochastic Volterra–Fredholm integro-differential systems of order 1 < r < 2	8
Generalized forms of fractional Euler and Runge–Kutta methods using non-uniform grid	7

Robust stabilization control of a spatial inverted pendulum using integral sliding mode controller	7
Nonlinear dynamics of a RLC series circuit modeled by a generalized Van der Pol oscillator	7
The Cădariu–Radu method for existence, uniqueness and Gauss Hypergeometric stability of a class of Ξ-Hilfer fractional differential equations	6
PS and GW optimization of variable sliding gains mode control to stabilize a wind energy conversion system under the real wind in Adrar, Algeria	6
Battery discharging model on fractal time sets	6
A methodology for dynamic behavior analysis of the slider-crank mechanism considering clearance joint	6
Weak and strong boundedness for p-adic fractional Hausdorff operator and its commutator	6
Wavelet-optimized compact finite difference method for convection–diffusion equations	6
The deterministic and stochastic solutions for the nonlinear Phi-4 equation	5
Solvability and stability of nonlinear hybrid ∆-difference equations of fractional-order	5
A new clique polynomial approach for fractional partial differential equations	5
Chaos and bifurcations in a discretized fractional model of quasi-periodic plasma perturbations	5
Nonlinear modeling and simulation of flywheel energy storage rotor system with looseness and rub-impact coupling hitch	5
An efficient class of fourth-order derivative-free method for multiple-roots	5
Abundant rogue wave solutions for the (2 + 1)-dimensional generalized Korteweg–de Vries equation	5
Research on the vibro-acoustic propagation characteristics of a large mining two-stage planetary gear reducer	5
Switched coupled system of nonlinear impulsive Langevin equations involving Hilfer fractional-order derivatives	5
On successive linearization method for differential equations with nonlinear conditions	5
Adaptive control for position and force tracking of uncertain teleoperation with actuators saturation and asymmetric varying time delays	4
Bell-shaped soliton solutions and travelling wave solutions of the fifth-order nonlinear modified Kawahara equation	4
Existence and Hyers–Ulam stability of solutions for nonlinear three fractional sequential differential equations with nonlocal boundary conditions	4
Numerical investigation of the solutions of Schrödinger equation with exponential cubic B-spline finite element method	4
Self-adaptive inertial subgradient extragradient scheme for pseudomonotone variational inequality problem	4
Parameter inference with analytical propagators for stochastic models of autoregulated gene expression	4
Nonlinear stability and numerical simulations for a reaction–diffusion system modelling Allee effect on predators	4
Impacts of heuristic parameters in PSO inverse kinematics solvers	4
Controllability of coupled fractional integrodifferential equations	4
Higher order rogue waves for the(3 + 1)-dimensional Jimbo–Miwa equation	4
Numerical solution of highly non-linear fractional order reaction advection diffusion equation using the cubic B-spline collocation method	4
Stochastic models with multiplicative noise for economic inequality and mobility	4
Interaction among a lump, periodic waves, and kink solutions to the KP-BBM equation	4
Mathematical analysis of the impact of vaccination and poor sanitation on the dynamics of poliomyelitis	4
Magnetogasdynamic shock wave propagation using the method of group invariance in rotating medium with the flux of monochromatic radiation and azimuthal magnetic field	4
Delay-dependent robust stability analysis of uncertain fractional-order neutral systems with distributed delays and nonlinear perturbations subject to input saturation	4
Adaptive neural network control of second-order underactuated systems with prescribed performance constraints	4
Shifted Legendre spectral collocation technique for solving stochastic Volterra–Fredholm integral equations	4
A fractional-order ship power system: chaos and its dynamical properties	4