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	116
A novel computational approach to reconstructing evolutionary fitness in self-replicating systems	87
Mathematical study of a new coupled electro-thermo radiofrequency model of cardiac tissue	84
Periodic measures for the stochastic delay modified Swift–Hohenberg lattice systems	79
Accelerating the convergence of Newton’s method for nonlinear elliptic PDEs using Fourier neural operators	79
Understanding fast adsorption in single-solute breakthrough curves	68
SIR dynamics with infection age in complex heterogeneous networks	66
A coevolution model of defensive medicine, litigation and medical malpractice insurance	64
Nonintrusive model order reduction for cross-diffusion systems	63
Nonlinear dynamics of the spacial vibration system considering the interactions between the frame and materials	61
Model and numerical method for soliton propagation through thermal medium based on nonlinear Schrödinger and heat transfer equations	61
	58
Energy-based, geometric, and compositional formulation of fluid and plasma models	55
The art of solving a large number of non-stiff, low-dimensional ordinary differential equation systems on GPUs and CPUs	54
Linear energy-stable method with correction technique for the Ohta–Kawasaki–Navier–Stokes model of incompressible diblock copolymer melt	51
Relaxed explicit-Scalar Auxiliary Variable (R-Explicit-SAV) method for hydrodynamically-coupled phase-field crystal model	49
Structural and qualitative properties of a geometrically integrable equation	49
Regularity and strong convergence of numerical approximations for stochastic wave equations with multiplicative fractional Brownian motions	49
Mode-matching technique for analyzing scattering in elastic shell chambers: Applications in trifurcated waveguide systems	49
Stationary response determination of MDOF fractional nonlinear systems subjected to combined colored noise and periodic excitation	48
Phase-field modeling and numerical computation for the hydrodynamics coupled diblock copolymer in complex geometries	48
Dynamics and profiles of a degenerated reaction–diffusion host-pathogen model with apparent and inapparent infection period	48
Stabilization and destabilization of fractional oscillators via a delayed feedback control	46
Input-to-state stability of stochastic differential systems with hybrid delay-dependent impulses	46

A new efficient algorithm based on feedforward neural network for solving differential equations of fractional order	43
A generalized penalty method for a new class of differential inequality system	42
Tunable subdiffusion in the Caputo fractional standard map	42
Persistence of return distribution sequence in financial markets	41
A new kind of double phase elliptic inclusions with logarithmic perturbation terms I: Existence and extremality results	41
Containment control of PDE-type T–S fuzzy multi-agent systems via event-triggered scheme	41
Coverings and nonlocal symmetries as well as fundamental solutions of nonlinear equations derived from the nonisospectral AKNS hierarchy	41
Alternating direction implicit approach for the two-dimensional time fractional nonlinear Klein–Gordon and Sine–Gordon problems	41
Observer normal form design for the nonlinear MIMO systems using coupled auxiliary dynamics	40
A representation-theoretical approach to higher-dimensional Lie–Hamilton systems: The symplectic Lie algebra	40
Nonlinear flexure mechanics of mixture unified gradient nanobeams	39
The construction of an optimal fourth-order fractional-compact-type numerical differential formula of the Riesz derivative and its application	39
A numerical study of N-periodic wave solutions to four integrable eq	39
An accelerated preconditioned primal-dual gradient algorithm for structured nonconvex optimization problems	38
On critical double phase Choquard problems with singular nonlinearity	38
Dynamic analysis and performance evaluation of inerter fractional nonlinear quasi-zero stiffness isolator on a multi-span bridge under moving load	38
Adaptive fuzzy asymptotic predefined-time tracking control of uncertain nonlinear systems based on event-trigger	37
Extremization to fine tune physics informed neural networks for solving boundary value problems	36
Unconditionally optimal error analysis of a two-grid FEM for semilinear reaction-subdiffusion problems with a weak initial singularity	36
The impact of different strategy update mechanisms on information dissemination under hyper network vision	36
Exponentially fitted methods that preserve conservation laws	35
An efficient numerical method for the anisotropic phase field dendritic crystal growth model	35
Dynamics of a delayed discrete size-structured chemostat with periodic nutrient supply	35
Multi-task learning enhanced deep neural networks for solving delay differential equations	35
New results on the existence and uniqueness of positive almost periodic solution for the generalized Mackey–Glass hematopoietic model	35
Existence and asymptotic behavior of normalized solutions for the HLS lower critical fractional Choquard equation with a local perturbation	35
A modified third order WENO scheme based on Gaussian-RBF interpolation for Hamilton–Jacobi equations	34
Mathematical modeling to investigate the influence of vaccination and booster doses on the spread of Omicron	34
Dynamical inquest of refuge and bubbling issues in an interacting species system	34
Recent advances in a rigorous computation of Poincaré maps	34
A discussion on nonlocality: From fractional derivative model to peridynamic model	33
On topology of carrying manifolds of regular homeomorphisms	33
Fault-tolerant security control for switched systems via learning observer and DoS attacks	32
Identification of discontinuous parameters in contaminant convection–reaction–diffusion model of recovered fracturing fluid	32
Finite horizon optimal dividend and capital injection problem driven by a jump-diffusion process	32
Stability and error analysis of the SAV schemes for the inductionless MHD equations	32
On triple-adaptive projection method for bilevel split variational inequalities with CFPP constraint of finite Bregman relatively demicontractions in Banach spaces	32
Infinitely many solutions for Kirchhoff-type Schrödinger-Poisson systems involving the discrete fractional Laplacian	32
Effects of a moving barrier on the first-passage time of a diffusing particle under stochastic resetting	31
A Brinkman–triple-porosity–permeability model and its discontinuous Galerkin methods	31
Finite-time boundary stabilization for Korteweg–de Vries–Burgers equations	31
On a matrix KdV6 equation	31
Two-grid FEM for fractional diffusion problems with limited regularity	30
Invasion dynamics of mussels in deterministic and stochastic environments: A mussel-algae model with manual removal	30
The dynamic corridor of regolith transportation near a spinning-up asteroid	30
Fractional partial differential variational inequality	30
Unconditionally optimal error estimates of an IMEX finite element method for time-dependent penetrative convection problem based on the exponential-SAV technique	30
Stochastic dynamical modeling of competitive interactions with saturation and fear in coral reef ecosystem	30
New upper bound on the solution of the continuous coupled algebraic Riccati equation	29
Difference methods for time discretization of spectral fractional stochastic wave equation	29

Two fast finite difference methods for a class of variable-coefficient fractional diffusion equations with time delay	29
Self-organization of nested patterns in a coupled spatiotemporal phytoplankton-zooplankton system	29
Coexistence of triple, quadruple attractors and Wada basin boundaries in a predator–prey model with additional food for predators	29
Further results on distributed finite-time synchronization for fractional-order coupled neural networks	29
Three- and four-wave resonances in the nonlinear quadratic Kelvin lattice	29
Unconditional superconvergence analysis of low-order conforming mixed finite element method for time-dependent incompressible MHD equations	28
Reduction of algebraic delay systems to state-dependent delay systems	28
Stabilization of impulsive hybrid stochastic differential equations with Lévy noise by feedback control based on discrete-time state observations	28
Conservation laws of mean field games equations with time discounting	28
Numerical simulation and new controller design of steerable nano-mirror in ionic liquid electrolytes	28
Robust equilibrium strategies for time-inconsistent stochastic optimal control problems with applications	28
A stochastic analysis of a SIQR epidemic model with short and long-term prophylaxis	28
Dominant causal factors of failure performance of cross-jointed segmental lining	28
Efficient numerical schemes for the conserved Allen-Cahn phase-field surfactant system based on high order supplementary variable method	28
Simultaneous control of rigidity and hand tremor by adaptive fuzzy Q-learning	27
Nonlinear vibration of flexible two links manipulator with variable cross sections	27
Time-periodic traveling waves for a periodic Lotka–Volterra competition system with nonlocal dispersal	27
A novel Fourier feature network for solving partial differential equations	27
Lattice-based model for pricing contingent claims under mixed fractional Brownian motion	27
Event-triggered set stabilization of impulsive logical control networks based on the hybrid index model approach	27
Command-filter based predefined-time neural adaptive decentralized control for interconnected systems with dynamic uncertainties	27
Softening/hardening dynamics of beam resting on generalized nonlinear foundation with a linear stiffening effect	27
Stability for nonlinear wave motions damped by time-dependent frictions	27
Existence and nonexistence of traveling waves of coupled Burgers’ equations	27
Attractivity of the disease-free subspace in epidemic models	27
Large deviations for numerical approximation of stochastic differential delay equations	27
Boundary stabilization for a nonlinear flexible beam under an adaptive fractional-order proportional-integral control	27
Dynamics of a harmonically excited nonlinear pipe conveying fluid equipped with a local nonlinear energy sink	26
A study on torsional vibration attenuation of closed-loop crankshaft using nonlinear energy sink under abnormal engine operating condition	26
Reducing vibration isolation frequency in an X-shaped two-stage nonlinear system	26
A study of a nonlinear vibration isolator supported on an imperfect boundary plate	26
Interaction of one-dimensional quantum droplets with potential wells and barriers	26
Optimizing target control in complex networks using edge-addition cost	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
An energy-preserving finite difference scheme with fourth-order accuracy for the generalized Camassa–Holm equation	26
Automatic Proper Orthogonal Block Decomposition method for network dynamical systems with multiple timescales	25
Complex-order fractional diffusion in reaction-diffusion systems	25
Analysis of a semi-implicit and structure-preserving finite element method for the incompressible MHD equations with magnetic-current formulation	25
Anomalous diffusion in nonlocal media via distributed-order fractional operators	25
Rogue waves dynamics of cubic–quintic nonlinear Schrödinger equation with an external linear potential through a modified Noguchi electrical transmission network	25
Long-time behaviors of wave equations stabilized by boundary memory damping and friction damping	24
Modelling of HIV viral load and 2-LTR dynamics during high active antiretroviral therapy in a heterogeneous environment	24
Limit cycles and chaos in planar hybrid systems	24
Analysis of a stochastic predator–prey model with weak Allee effect and Holling-(n+1) functional response	24
A linear, decoupled and unconditionally stable scheme for the thermally coupled incompressible magnetohydrodynamic flow including Joule heating and dissipative heating	24
Stabilized finite element approximation of the Swift–Hohenberg model on evolving surfaces	24
A meshfree collocation method for solving the compressible Navier-Stokes equations	24
Pullback measure attractors for non-autonomous stochastic FitzHugh–Nagumo system with distribution dependence on unbounded domains	24
Bifurcation analysis of an ecological model with nonlinear state–dependent feedback control by Poincaré map defined in phase set	24
Distribution of suspended sediment in open channel turbulent flow through space-time fractional ADE	24
Event-triggered iterative learning containment control for one-sided Lipschitz nonlinear singular switched multi-agent systems with multiple leaders and error quantization	24
A reconstructed discontinuous approximation method for the porous medium equation	23
Accelerated Douglas-Rachford splitting algorithm using neural network	23
Dual-triggered scheme for adaptive neural control of MIMO nonlinear switched systems against sensor and actuator attacks	23
Dynamical behavior and numerical simulation of a stochastic eco-epidemiological model with Ornstein–Uhlenbeck process	23
Computer validation of open gaps for the almost Mathieu operator with critical coupling	23
Time-fractional porous medium equation: Erdélyi–Kober integral equations, compactly supported solutions, and numerical methods	23
Numerical approximation of semilinear stochastic subdiffusion driven by fractionally integrated fBm via the Mittag-Leffler Euler scheme	23
Stability of solutions in impulsive integro-differential equations with applications to fading memory systems	23
Global exponential stability and stabilization of stochastic memristive neural networks with spatial diffusions and hybrid delays	23
Learning vector fields of differential equations on manifolds with curvature-adaptive geometrically constrained SINDy	23
Event-triggered finite-time projective synchronization for fractional-order reaction-diffusion inertial delayed neural networks	23
Adaptive finite-time pinned and regulation synchronization of disturbed complex networks	22
On rapid vibration suppression by nonlinear energy sink during first half cycle of oscillation	22
Security-based control design for synchronization of switched reaction diffusion neural networks with hybrid attacks	22
Computing two actuarial quantities under multilayer dividend strategy with a constant interest rate: Based on Sinc methods	22
Editorial Board	22
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	22
Resilient discontinuous event-triggering control for exponential stabilization of memristive neural networks under denial-of-service attacks	22
Normalized fractional gradient flow for nonlinear Schrödinger/Gross–Pitaevskii equations	22
Kernel functions embed into the autoencoder to identify the sparse models of nonlinear dynamics	22
Nonlinear dynamics of continuous steady-state tunable mechanical metamaterials based on planetary gears	22
Stochastic bipartite synchrony under signed co-opetition CADNNs: A pth	22
Non-asymptotic and robust estimation for a class of nonlinear fractional-order systems	22
The second type noncommutative KP and mKP equations with self-consistent sources and Miura transformation	22
Editorial Board	22
Random periodic solutions of SDEs driven by α	22
An efficient energy-stable pseudospectral method for simulating vortex dynamics of the Ginzburg–Landau–Schrödinger equation	22
Well-posedness and numerical analysis of an elapsed time model with strongly coupled neural networks	22

A new stabilizer-free weak Galerkin mixed finite element method for the biharmonic equation on polygonal meshes	22
(Non)Commutativity and associativity of general fractional derivatives with different Sonin kernels	22
Synchronization in memristive HR neurons with hidden coexisting firing and lower energy under electrical and magnetic coupling	22
Characterization of chimeras in coupled phase oscillators based on a coherence function	21
Modulational instability and sister chirped femtosecond modulated waves in a nonlinear Schrödinger equation with self-steepening and self-frequency shift	21
Stochastic conformal symplectic exponential Runge–Kutta–Nyström integrators for solving damped second-order SDEs with applications in damped stochastic nonlinear wave equations	21
Electromagnetic field in a conducting medium modeled by the fractional Ohm’s law	21
On the numerical solution of the iterative parabolic equations by ETDRK pseudospectral methods in linear and nonlinear media	21
Editorial Board	21
Parametric resonance and stochastic stability of a vibro-impact system under bounded noise excitation	21
Spatial dispersal in chemostat systems with agent-based asymmetry	21
Performance assessment of energy-preserving, adaptive time-step variational integrators	21
Numerical analysis of linearly implicit θ methods for a stochastic S	21
Dynamical transition and bifurcation of a diffusive predator–prey model with an Allee effect on prey	21
Asset price-GDP cross feedback. The role of dividend policies in a dynamic setting	21
Adaptive optimized consensus control for a class of nonlinear multi-agent systems with asymmetric input saturation constraints and hybrid faults	21
Comparative dynamics analysis of the environmental policy efficacy in a nonlinear Cournot duopoly with differentiated goods and emission charges	21
Relative controllability of nonlinear switched fractional delayed systems	21
Editorial Board	21
Computer assisted proof of drift orbits along normally hyperbolic manifolds II: Application to the restricted three body problem	21
A robust common-weights WENO scheme based on the flux vector splitting for Euler equations	21
On the spatial spread of active control in a van der Pol ring via synchronisation and its stabilisation using parameter mismatch	20
Revealing bifurcation mechanisms in a 2D nonsmooth map by means of the first return map	20
Predefined-time synchronization of cyclic memristive neural networks via adaptive sliding mode control: Comparative analysis and application in secure communication	20
Fixed-time output synchronization of multi-layer complex networks under dynamic event-triggering control	20
Turing–Turing bifurcation in an activator–inhibitor system with gene expression time delay	20
Fractional-order euler wavelet technique for multidimensional distributed-order optimal control problem	20
Research on the hybrid chaos-coud salp swarm algorithm	20
Modified hat functions for constrained fractional optimal control problems with ψ	20
Predefined time synchronization of fractional order chaotic system via sliding mode control	20
Editorial Board	20
The high-order exponential semi-implicit scalar auxiliary variable approach for the general nonlocal Cahn-Hilliard equation	20
Fractal-fractional modeling of Monkeypox transmission via Atangana-Baleanu operators and Sumudu transform techniques	20
On convergence analysis of feedback control with integral action and discontinuous relay perturbation	20
An emotion-information spreading model in social media on multiplex networks	20
Responses, optimization and prediction of energy harvesters under galloping and base excitations	19
Analysis and numerical approximation to interactive dynamics of Navier Stokes-plate interaction PDE system	19
Evolution system of stochastic fractional differential mixed variational inequalities carrying Lévy jumps	19
The analysis of geometrically nonlinear behavior of SMAs using RKPM	19
Regularity criteria for the 3D axisymmetric non-resistive MHD system	19
Asynchronous event-triggered H	19
Extremal parameter for double phase problem with concave–convex nonlinearity	19
Fully-discrete virtual element method with exact stress symmetry for the viscoelasticity problem on polygonal meshes	19
Theoretical analysis and high-performance implementation of low-rank approximations in NEGF-based quantum transport	19
Stability of nonlinear time-varying systems with delayed stochastic impulses	19
Mikusiński’s operational calculus for multi-dimensional fractional operators with applications to fractional PDEs	19
Characterization of global centers by the monodromy at infinity	19
Planar quartic–quadratic fold–fold singularity of Filippov systems and its bifurcation	19
Patterns of burned area by a cellular-automata fire simulator: The role of microscale wind field	19
Distributed “End-Edge-Cloud” structural car-following control system for intelligent connected vehicle using sliding mode strategy	19
Complex dynamics of a non-smooth temperature-sensitive memristive Wilson neuron model	19
Nonlinear dynamical and harvesting characteristics of bistable energy harvester under hybrid base vibration and galloping	19
The dynamic analysis of the rumor spreading and behavior diffusion model with higher-order interactions	19
Perturbation-based approximate analytic solutions to an articulated SLIP model for legged robots	18
Editorial Board	18
A novel discontinuous Galerkin projection scheme for the hydrodynamics of nematic liquid crystals	18
Inverse nonlinear elastostatic analysis of heterogeneous pre-stressed arterial cross-sections with elastic bed supports: an unfitted approach	18
Superconvergence analysis and extrapolation of a BDF2 fully discrete scheme for nonlinear reaction–diffusion equations	18
Stability of non-instantaneous impulsive systems in Hilbert spaces	18
On the periodic orbits of the continuous–discontinuous piecewise differential systems with three pieces separated by two parallel straight lines	18
Numerical analysis of age-structured HIV model with general transmission mechanism	18
Evolutionary dynamics of structured populations with density-dependent limitation of juvenile survival	18
A numerical study of the scattering in the He-Cu model with a Morse potential: Parabolic manifolds and exponentially small phenomena	18
Finite length Fermi–Pasta–Ulam–Tsingou-type chains: Periodic forced dynamics and interaction inhomogeneity	18
On a multivalued prescribed mean curvature problem and inclusions defined on dual spaces	18
Partially known transition rates-based resilient H	18
A novel two-dimensional D2Q9 cumulant-based lattice Boltzmann method: simulation and validation across multiple flow phenomena	18
A new class of history-dependent quasi variational–hemivariational inequalities with constraints	18
Approximate symmetry of time-fractional partial differential equations with a small parameter	18
A fast time-stepping method based on the hp	18
Projected solutions for generalized quasivariational inequalities without compact constraint multimap	18
Contour Identities and Inequalities for Polynomial-Deformed Block-Companion Operators	18
A kinetic theory model for the energy-demand management in a microgrid–macrogrid network	18
Conservation laws of mean field games equations	18
Numerical energy dissipation for time fractional volume-conserved Allen–Cahn model based on the ESAV and R-ESAV approaches	18
Oscillatory sliding in the presence of asymmetric friction	18
Heterogeneous consensus controller design for multi-agent saturated-input systems under switching topologies with partly unknown transition rates	18
Further stabilization criteria of continuous systems with aperiodic time-triggered intermittent control	18
Consistency-enhanced E-SAV BDF2 time-marching method with relaxation for the hydrodynamically-coupled binary phase-field crystal model	18
Forecasting crude oil option prices with dynamic factors using integrated machine learning models	18
A numerical method for two-phase flow with its application to the Kelvin–Helmholtz instability problem	17
Slow-fast cycles with points of self-intersection	17
Multi-physical cooperative control of plug-in hybrid electric vehicles via cyber hierarchy and interactional network	17
Dynamic response and chaos analysis of a spatial multi-body system with multiple clearance joints and a flexible component	17
Supercritical nonlinear transverse vibration of a hyperelastic beam under harmonic axial loading	17
Impacts of linear coupling on exact solutions and spectral classification in the 1D Allen–Cahn system	17
On the selected problems of time-dependent dynamics of composite truncated conical shells-like aerospace structures	17
Non-weighted H∞	17
Stability analysis for neutral stochastic time-varying systems with delayed impulses	17
Strong convergence rates for the approximation of a stochastic time-fractional Allen–Cahn equation	17
Approximate analytical solution for transient heat and mass transfer across an irregular interface	17
A linearized L2-1σ	17
Periodic traveling waves for a diffusive SIR epidemic model with general nonlinear incidence and external supplies	17
Dynamics of an age-structured SIS epidemic model with local dispersal and general incidence functions	17
Complete classification on center of cubic planar systems symmetric with respect to a straight line	17