Communications in Nonlinear Science and Numerical Simulation

Article	Citations
Editorial Board	138
Quasi-static filling of a disordered nanoporous medium with a non-wetting liquid as a process of self-organized criticality	118
A novel computational approach to reconstructing evolutionary fitness in self-replicating systems	92
Understanding fast adsorption in single-solute breakthrough curves	87
SIR dynamics with infection age in complex heterogeneous networks	80
A coevolution model of defensive medicine, litigation and medical malpractice insurance	76
Nonintrusive model order reduction for cross-diffusion systems	67
Nonlinear dynamics of the spacial vibration system considering the interactions between the frame and materials	66
Model and numerical method for soliton propagation through thermal medium based on nonlinear Schrödinger and heat transfer equations	64
	63
A representation-theoretical approach to higher-dimensional Lie–Hamilton systems: The symplectic Lie algebra	61
Nonlinear flexure mechanics of mixture unified gradient nanobeams	57
Observer normal form design for the nonlinear MIMO systems using coupled auxiliary dynamics	57
Energy-based, geometric, and compositional formulation of fluid and plasma models	56
Mathematical study of a new coupled electro-thermo radiofrequency model of cardiac tissue	53
The construction of an optimal fourth-order fractional-compact-type numerical differential formula of the Riesz derivative and its application	52
Periodic measures for the stochastic delay modified Swift–Hohenberg lattice systems	52
An efficient numerical method for the anisotropic phase field dendritic crystal growth model	52
On critical double phase Choquard problems with singular nonlinearity	51
Extremization to fine tune physics informed neural networks for solving boundary value problems	50
Adaptive noise control for almost sure exponential stability of stochastic coupled jump diffusion systems	49
Tertiary, quaternary and higher order states in the sequence of bifurcations approach (SBA) to turbulence for laterally heated shear flows within a rectangular tube	49
Coverings and nonlocal symmetries as well as fundamental solutions of nonlinear equations derived from the nonisospectral AKNS hierarchy	47
Regularity and strong convergence of numerical approximations for stochastic wave equations with multiplicative fractional Brownian motions	46
The art of solving a large number of non-stiff, low-dimensional ordinary differential equation systems on GPUs and CPUs	46

New results on the existence and uniqueness of positive almost periodic solution for the generalized Mackey–Glass hematopoietic model	45
Dynamics of a delayed discrete size-structured chemostat with periodic nutrient supply	45
Unconditionally optimal error analysis of a two-grid FEM for semilinear reaction-subdiffusion problems with a weak initial singularity	45
On topology of carrying manifolds of regular homeomorphisms	44
Dynamics and profiles of a degenerated reaction–diffusion host-pathogen model with apparent and inapparent infection period	43
Input-to-state stability of stochastic differential systems with hybrid delay-dependent impulses	43
A modified third order WENO scheme based on Gaussian-RBF interpolation for Hamilton–Jacobi equations	43
Relaxed explicit-Scalar Auxiliary Variable (R-Explicit-SAV) method for hydrodynamically-coupled phase-field crystal model	43
Fixed-time sliding mode control for nonlinear systems with input saturation via time-delay sliding surface	43
Mathematical modeling to investigate the influence of vaccination and booster doses on the spread of Omicron	42
Alternating direction implicit approach for the two-dimensional time fractional nonlinear Klein–Gordon and Sine–Gordon problems	41
A generalized penalty method for a new class of differential inequality system	41
On triple-adaptive projection method for bilevel split variational inequalities with CFPP constraint of finite Bregman relatively demicontractions in Banach spaces	40
Infinitely many solutions for Kirchhoff-type Schrödinger-Poisson systems involving the discrete fractional Laplacian	40
Adaptive fuzzy asymptotic predefined-time tracking control of uncertain nonlinear systems based on event-trigger	39
Stability and error analysis of the SAV schemes for the inductionless MHD equations	39
Linear energy-stable method with correction technique for the Ohta–Kawasaki–Navier–Stokes model of incompressible diblock copolymer melt	39
Intermittent fixed-time stability analysis for nonlinear systems and application to synchronization in spatiotemporal networks	39
A new kind of double phase elliptic inclusions with logarithmic perturbation terms I: Existence and extremality results	39
A discussion on nonlocality: From fractional derivative model to peridynamic model	39
The impact of different strategy update mechanisms on information dissemination under hyper network vision	38
Structural and qualitative properties of a geometrically integrable equation	38
Accelerating the convergence of Newton’s method for nonlinear elliptic PDEs using Fourier neural operators	38
A Brinkman–triple-porosity–permeability model and its discontinuous Galerkin methods	37
Phase-field modeling and numerical computation for the hydrodynamics coupled diblock copolymer in complex geometries	37
Dynamic analysis and performance evaluation of inerter fractional nonlinear quasi-zero stiffness isolator on a multi-span bridge under moving load	37
Stabilization and destabilization of fractional oscillators via a delayed feedback control	37
A numerical study of N-periodic wave solutions to four integrable eq	37
Finite horizon optimal dividend and capital injection problem driven by a jump-diffusion process	35
Persistence of return distribution sequence in financial markets	35
Fault-tolerant security control for switched systems via learning observer and DoS attacks	34
Identification of discontinuous parameters in contaminant convection–reaction–diffusion model of recovered fracturing fluid	33
Multi-task learning enhanced deep neural networks for solving delay differential equations	33
Dynamical inquest of refuge and bubbling issues in an interacting species system	33
An accelerated preconditioned primal-dual gradient algorithm for structured nonconvex optimization problems	33
A new efficient algorithm based on feedforward neural network for solving differential equations of fractional order	33
Containment control of PDE-type T–S fuzzy multi-agent systems via event-triggered scheme	33
Optical dispersive shock waves of initial pulses in optical fibers with high-order dispersion and quintic nonlinearity effects	32
Mode-matching technique for analyzing scattering in elastic shell chambers: Applications in trifurcated waveguide systems	32
Existence and asymptotic behavior of normalized solutions for the HLS lower critical fractional Choquard equation with a local perturbation	32
Tunable subdiffusion in the Caputo fractional standard map	32
Fractional Poisson Process with Dynamic Memory	32
Stochastic dynamical modeling of competitive interactions with saturation and fear in coral reef ecosystem	32
Finite-time sliding mode secure control with dynamic-memory event-triggered for semi-Markov jump systems subject to hybrid network attacks and general transition probabilities	32
Prescribed performance sliding mode synchronization of chaotic systems via neural network-based disturbance observer	32
A meshfree collocation method for solving the compressible Navier-Stokes equations	31
A study of a nonlinear vibration isolator supported on an imperfect boundary plate	31
The dynamic corridor of regolith transportation near a spinning-up asteroid	31
Rogue waves dynamics of cubic–quintic nonlinear Schrödinger equation with an external linear potential through a modified Noguchi electrical transmission network	30
Nonlocal nonuniform size modified Poisson–Boltzmann model and efficient finite element solver for protein electrostatics and ion distributions	30

Dominant causal factors of failure performance of cross-jointed segmental lining	30
Reduction of algebraic delay systems to state-dependent delay systems	30
Optimizing target control in complex networks using edge-addition cost	30
Long-time behaviors of wave equations stabilized by boundary memory damping and friction damping	30
Stability for nonlinear wave motions damped by time-dependent frictions	30
Numerical simulation and new controller design of steerable nano-mirror in ionic liquid electrolytes	30
Difference methods for time discretization of spectral fractional stochastic wave equation	30
Two fast finite difference methods for a class of variable-coefficient fractional diffusion equations with time delay	30
Conservation laws of mean field games equations with time discounting	30
Simultaneous control of rigidity and hand tremor by adaptive fuzzy Q-learning	30
Time-periodic traveling waves for a periodic Lotka–Volterra competition system with nonlocal dispersal	29
On a matrix KdV6 equation	29
Fractional partial differential variational inequality	29
Coexistence of triple, quadruple attractors and Wada basin boundaries in a predator–prey model with additional food for predators	29
Affine formation maneuvering control for full-state error constrained and actuator saturation of multiple stratospheric airships	29
A novel Fourier feature network for solving partial differential equations	29
Learning vector fields of differential equations on manifolds with curvature-adaptive geometrically constrained SINDy	29
Optimal control method for uncertain fractional switched systems and application to glucose-insulin regulatory	29
Distribution of suspended sediment in open channel turbulent flow through space-time fractional ADE	28
Numerical approximation of semilinear stochastic subdiffusion driven by fractionally integrated fBm via the Mittag-Leffler Euler scheme	28
A linear, decoupled and unconditionally stable scheme for the thermally coupled incompressible magnetohydrodynamic flow including Joule heating and dissipative heating	28
Stability of solutions in impulsive integro-differential equations with applications to fading memory systems	28
Limit cycles and chaos in planar hybrid systems	28
Event-triggered set stabilization of impulsive logical control networks based on the hybrid index model approach	28
Lattice-based model for pricing contingent claims under mixed fractional Brownian motion	28
Unconditionally optimal error estimates of an IMEX finite element method for time-dependent penetrative convection problem based on the exponential-SAV technique	28
Three- and four-wave resonances in the nonlinear quadratic Kelvin lattice	28
Stabilized finite element approximation of the Swift–Hohenberg model on evolving surfaces	28
Softening/hardening dynamics of beam resting on generalized nonlinear foundation with a linear stiffening effect	27
Automatic Proper Orthogonal Block Decomposition method for network dynamical systems with multiple timescales	27
Unconditional superconvergence analysis of low-order conforming mixed finite element method for time-dependent incompressible MHD equations	27
Two-grid FEM for fractional diffusion problems with limited regularity	27
A stochastic analysis of a SIQR epidemic model with short and long-term prophylaxis	27
Analysis of a semi-implicit and structure-preserving finite element method for the incompressible MHD equations with magnetic-current formulation	27
Modelling of HIV viral load and 2-LTR dynamics during high active antiretroviral therapy in a heterogeneous environment	27
Global exponential stability and stabilization of stochastic memristive neural networks with spatial diffusions and hybrid delays	26
(Non)Commutativity and associativity of general fractional derivatives with different Sonin kernels	26
Stabilization of impulsive hybrid stochastic differential equations with Lévy noise by feedback control based on discrete-time state observations	26
Non-asymptotic and robust estimation for a class of nonlinear fractional-order systems	26
RETRACTED: New upper bound on the solution of the continuous coupled algebraic Riccati equation	26
Attractivity of the disease-free subspace in epidemic models	26
Time-fractional porous medium equation: Erdélyi–Kober integral equations, compactly supported solutions, and numerical methods	26
Further results on distributed finite-time synchronization for fractional-order coupled neural networks	26
Leader-following output consensus for strict-feedback nonlinear multiagent systems with edge-based event-triggered communications	26
On the generalized logistic random differential equation: Theoretical analysis and numerical simulations with real-world data	26
Existence and nonexistence of traveling waves of coupled Burgers’ equations	26
Dynamical behavior and numerical simulation of a stochastic eco-epidemiological model with Ornstein–Uhlenbeck process	26
Event-triggered iterative learning containment control for one-sided Lipschitz nonlinear singular switched multi-agent systems with multiple leaders and error quantization	26
Self-organization of nested patterns in a coupled spatiotemporal phytoplankton-zooplankton system	26
Interaction of one-dimensional quantum droplets with potential wells and barriers	26
Unsupervised deep learning for simulating magnetized tri-hybrid nanofluid flow with nonlinear radiation for biomedical therapeutics	25
Command-filter based predefined-time neural adaptive decentralized control for interconnected systems with dynamic uncertainties	25
Finite-time boundary stabilization for Korteweg–de Vries–Burgers equations	25
Boundary stabilization for a nonlinear flexible beam under an adaptive fractional-order proportional-integral control	25
Dual-triggered scheme for adaptive neural control of MIMO nonlinear switched systems against sensor and actuator attacks	25
Effects of a moving barrier on the first-passage time of a diffusing particle under stochastic resetting	25
Nonlinear vibration of flexible two links manipulator with variable cross sections	25
Fractional-order adaptive fixed-time fault-tolerant control for quadrotor unmanned aerial vehicle	24
Pullback measure attractors for non-autonomous stochastic FitzHugh–Nagumo system with distribution dependence on unbounded domains	24
Large deviations for numerical approximation of stochastic differential delay equations	24
Invasion dynamics of mussels in deterministic and stochastic environments: A mussel-algae model with manual removal	24
Dynamics of a harmonically excited nonlinear pipe conveying fluid equipped with a local nonlinear energy sink	24
An energy-preserving finite difference scheme with fourth-order accuracy for the generalized Camassa–Holm equation	24
Synchronization in memristive HR neurons with hidden coexisting firing and lower energy under electrical and magnetic coupling	24
A study on torsional vibration attenuation of closed-loop crankshaft using nonlinear energy sink under abnormal engine operating condition	24
Lie group theory, stability analysis with dispersion property, new soliton solutions and conserved quantities of 3D generalized nonlinear wave equation in liquid containing gas bubbles with applicatio	24
Efficient numerical schemes for the conserved Allen-Cahn phase-field surfactant system based on high order supplementary variable method	24
Event-triggered finite-time projective synchronization for fractional-order reaction-diffusion inertial delayed neural networks	24
Robust equilibrium strategies for time-inconsistent stochastic optimal control problems with applications	24
Analysis of a stochastic predator–prey model with weak Allee effect and Holling-(n+1) functional response	24
Variable-order fractional wave equation: Analysis, numerical approximation, and fast algorithm	24
Reducing vibration isolation frequency in an X-shaped two-stage nonlinear system	24
Editorial Board	23
Complex-order fractional diffusion in reaction-diffusion systems	23
Edge-dynamics consensus of matrix-weighted multi-agent systems	23
Computing two actuarial quantities under multilayer dividend strategy with a constant interest rate: Based on Sinc methods	23
Finite Element Simulation Driven Reduced-Order Operator Learning Method for Parabolic Equations and Navier-Stokes Equations	23
Anomalous diffusion in nonlocal media via distributed-order fractional operators	23
Editorial Board	23
The high-order exponential semi-implicit scalar auxiliary variable approach for the general nonlocal Cahn-Hilliard equation	23

The second type noncommutative KP and mKP equations with self-consistent sources and Miura transformation	23
The analysis of geometrically nonlinear behavior of SMAs using RKPM	23
A reconstructed discontinuous approximation method for the porous medium equation	23
Computer validation of open gaps for the almost Mathieu operator with critical coupling	23
Stochastic bipartite synchrony under signed co-opetition CADNNs: A pth	23
Solving variational inequalities using an algorithm with extrapolations from the past and relaxation	23
Numerical analysis of linearly implicit θ methods for a stochastic S	23
Mikusiński’s operational calculus for multi-dimensional fractional operators with applications to fractional PDEs	23
A new stabilizer-free weak Galerkin mixed finite element method for the biharmonic equation on polygonal meshes	23
Accelerated Douglas-Rachford splitting algorithm using neural network	23
Asset price-GDP cross feedback. The role of dividend policies in a dynamic setting	22
Planar quartic–quadratic fold–fold singularity of Filippov systems and its bifurcation	22
Observer pinning-nodes-based synchronization of higher-order coupled genetic regulatory networks under aperiodically intermittent measurement and control	22
Editorial Board	22
Turing–Turing bifurcation in an activator–inhibitor system with gene expression time delay	22
Editorial Board	22
Fractional-order euler wavelet technique for multidimensional distributed-order optimal control problem	22
Resilient discontinuous event-triggering control for exponential stabilization of memristive neural networks under denial-of-service attacks	22
Well-posedness and numerical analysis of an elapsed time model with strongly coupled neural networks	22
Stability of non-instantaneous impulsive systems in Hilbert spaces	22
Characterization of global centers by the monodromy at infinity	22
Electromagnetic field in a conducting medium modeled by the fractional Ohm’s law	22
Distributed “End-Edge-Cloud” structural car-following control system for intelligent connected vehicle using sliding mode strategy	22
Computer assisted proof of drift orbits along normally hyperbolic manifolds II: Application to the restricted three body problem	22
Fractal-fractional modeling of Monkeypox transmission via Atangana-Baleanu operators and Sumudu transform techniques	22
Characterization of chimeras in coupled phase oscillators based on a coherence function	22
Relative controllability of nonlinear switched fractional delayed systems	22
Comparative dynamics analysis of the environmental policy efficacy in a nonlinear Cournot duopoly with differentiated goods and emission charges	22
Patterns of burned area by a cellular-automata fire simulator: The role of microscale wind field	22
Editorial Board	22
Research on the hybrid chaos-coud salp swarm algorithm	22
On the spatial spread of active control in a van der Pol ring via synchronisation and its stabilisation using parameter mismatch	22
On rapid vibration suppression by nonlinear energy sink during first half cycle of oscillation	21
Revealing bifurcation mechanisms in a 2D nonsmooth map by means of the first return map	21
Further stabilization criteria of continuous systems with aperiodic time-triggered intermittent control	21
Consistency-enhanced E-SAV BDF2 time-marching method with relaxation for the hydrodynamically-coupled binary phase-field crystal model	21
Theoretical analysis and high-performance implementation of low-rank approximations in NEGF-based quantum transport	21
Lazy-learning-based Koopman model predictive control for synchronization of unknown nonlinear systems	21
Evolution system of stochastic fractional differential mixed variational inequalities carrying Lévy jumps	21
Stochastic conformal symplectic exponential Runge–Kutta–Nyström integrators for solving damped second-order SDEs with applications in damped stochastic nonlinear wave equations	21
Regularity criteria for the 3D axisymmetric non-resistive MHD system	21
Numerical analysis of age-structured HIV model with general transmission mechanism	21
A robust common-weights WENO scheme based on the flux vector splitting for Euler equations	21
Rapid radiative transfer neural network for weather forecasting acceleration	21
A control-theoretic approach to adaptive time stepping in reservoir simulations and its impacts on efficiency and robustness	21
Adaptive finite-time pinned and regulation synchronization of disturbed complex networks	21
An efficient energy-stable pseudospectral method for simulating vortex dynamics of the Ginzburg–Landau–Schrödinger equation	21
Complex dynamics of a non-smooth temperature-sensitive memristive Wilson neuron model	21
A fast time-stepping method based on the hp	21
Modified hat functions for constrained fractional optimal control problems with ψ	21
Adaptive optimized consensus control for a class of nonlinear multi-agent systems with asymmetric input saturation constraints and hybrid faults	21
Stability of traveling wavefronts for viscous Nicholson’s blowflies equation	21
On the periodic orbits of the continuous–discontinuous piecewise differential systems with three pieces separated by two parallel straight lines	20
Security-based control design for synchronization of switched reaction diffusion neural networks with hybrid attacks	20
Heterogeneous consensus controller design for multi-agent saturated-input systems under switching topologies with partly unknown transition rates	20
Performance assessment of energy-preserving, adaptive time-step variational integrators	20
Kernel functions embed into the autoencoder to identify the sparse models of nonlinear dynamics	20
Asynchronous event-triggered H	20
Nonlinear dynamics of continuous steady-state tunable mechanical metamaterials based on planetary gears	20
Predefined time synchronization of fractional order chaotic system via sliding mode control	20
Normalized fractional gradient flow for nonlinear Schrödinger/Gross–Pitaevskii equations	20
Extremal parameter for double phase problem with concave–convex nonlinearity	20
Fixed-time output synchronization of multi-layer complex networks under dynamic event-triggering control	19
On a multivalued prescribed mean curvature problem and inclusions defined on dual spaces	19
Fuzzy observer design for positive T-S fuzzy systems	19
Editorial Board	19
Entire solutions originating from semi-trivial pulsating fronts of reaction–advection–diffusion competition systems in periodic media	19
Inverse nonlinear elastostatic analysis of heterogeneous pre-stressed arterial cross-sections with elastic bed supports: an unfitted approach	19
Analysis and numerical approximation to interactive dynamics of Navier Stokes-plate interaction PDE system	19
The dynamic analysis of the rumor spreading and behavior diffusion model with higher-order interactions	19
Forecasting crude oil option prices with dynamic factors using integrated machine learning models	19
Spatial dispersal in chemostat systems with agent-based asymmetry	19
Projected solutions for generalized quasivariational inequalities without compact constraint multimap	19
Stability and error estimates of a second-order decoupled finite element method for the time-dependent Stokes-Biot problem	19
Random periodic solutions of SDEs driven by α-stable processes: Existence, uniqueness and numerical approximations	19
Generalization of Noether Theorem and action principle for non-Lagrangian theories	19
A kinetic theory model for the energy-demand management in a microgrid–macrogrid network	19
Conservation laws of mean field games equations	19
A novel two-dimensional D2Q9 cumulant-based lattice Boltzmann method: simulation and validation across multiple flow phenomena	19
Editorial Board	19
Stability of nonlinear time-varying systems with delayed stochastic impulses	19
A new class of history-dependent quasi variational–hemivariational inequalities with constraints	19
Responses, optimization and prediction of energy harvesters under galloping and base excitations	19
Dynamical transition and bifurcation of a diffusive predator–prey model with an Allee effect on prey	19
Fully-discrete virtual element method with exact stress symmetry for the viscoelasticity problem on polygonal meshes	19
Approximate symmetry of time-fractional partial differential equations with a small parameter	19
Strong Convergence of an Inertial Subgradient Extragradient Algorithm with Nesterov Momentum: Applications to Signal Classification and Epidemic Modeling	19
Direct and inverse problems for a 2D heat equation with a Dirichlet–Neumann–Wentzell boundary condition	19
Partially known transition rates-based resilient H	19
Numerical energy dissipation for time fractional volume-conserved Allen–Cahn model based on the ESAV and R-ESAV approaches	19
Finite length Fermi–Pasta–Ulam–Tsingou-type chains: Periodic forced dynamics and interaction inhomogeneity	19
An emotion-information spreading model in social media on multiplex networks	19
On convergence analysis of feedback control with integral action and discontinuous relay perturbation	19
Nonlinear dynamical and harvesting characteristics of bistable energy harvester under hybrid base vibration and galloping	19
Predefined-time synchronization of cyclic memristive neural networks via adaptive sliding mode control: Comparative analysis and application in secure communication	19