Communications in Nonlinear Science and Numerical Simulation

Article	Citations
A Brinkman–triple-porosity–permeability model and its discontinuous Galerkin methods	134
Editorial Board	108
Quasi-static filling of a disordered nanoporous medium with a non-wetting liquid as a process of self-organized criticality	98
A novel computational approach to reconstructing evolutionary fitness in self-replicating systems	96
The impact of different strategy update mechanisms on information dissemination under hyper network vision	82
Mathematical study of a new coupled electro-thermo radiofrequency model of cardiac tissue	82
Accelerating the convergence of Newton’s method for nonlinear elliptic PDEs using Fourier neural operators	79
Understanding fast adsorption in single-solute breakthrough curves	77
Finite element approximation of a Keller–Segel model with additional self- and cross-diffusion terms and a logistic source	68
Exponentially fitted methods that preserve conservation laws	62
SIR dynamics with infection age in complex heterogeneous networks	62
A coevolution model of defensive medicine, litigation and medical malpractice insurance	58
Nonintrusive model order reduction for cross-diffusion systems	57
Identification of discontinuous parameters in contaminant convection–reaction–diffusion model of recovered fracturing fluid	56
Structural and qualitative properties of a geometrically integrable equation	56
Stabilization and destabilization of fractional oscillators via a delayed feedback control	56
Nonlinear dynamics of the spacial vibration system considering the interactions between the frame and materials	55
Model and numerical method for soliton propagation through thermal medium based on nonlinear Schrödinger and heat transfer equations	54
Containment control of PDE-type T–S fuzzy multi-agent systems via event-triggered scheme	50
	49
Relaxed explicit-Scalar Auxiliary Variable (R-Explicit-SAV) method for hydrodynamically-coupled phase-field crystal model	47
Mathematical modeling to investigate the influence of vaccination and booster doses on the spread of Omicron	44
On triple-adaptive projection method for bilevel split variational inequalities with CFPP constraint of finite Bregman relatively demicontractions in Banach spaces	44
Tunable subdiffusion in the Caputo fractional standard map	43
Dynamic analysis and performance evaluation of inerter fractional nonlinear quasi-zero stiffness isolator on a multi-span bridge under moving load	43

Recent advances in a rigorous computation of Poincaré maps	43
Input-to-state stability of stochastic differential systems with hybrid delay-dependent impulses	42
Finite horizon optimal dividend and capital injection problem driven by a jump-diffusion process	42
Nonlinear flexure mechanics of mixture unified gradient nanobeams	41
A modified third order WENO scheme based on Gaussian-RBF interpolation for Hamilton–Jacobi equations	41
On topology of carrying manifolds of regular homeomorphisms	40
Infinitely many solutions for Kirchhoff-type Schrödinger-Poisson systems involving the discrete fractional Laplacian	40
Phase-field modeling and numerical computation for the hydrodynamics coupled diblock copolymer in complex geometries	40
Fault-tolerant security control for switched systems via learning observer and DoS attacks	40
The construction of an optimal fourth-order fractional-compact-type numerical differential formula of the Riesz derivative and its application	40
Stationary response determination of MDOF fractional nonlinear systems subjected to combined colored noise and periodic excitation	40
Adaptive fuzzy asymptotic predefined-time tracking control of uncertain nonlinear systems based on event-trigger	38
The art of solving a large number of non-stiff, low-dimensional ordinary differential equation systems on GPUs and CPUs	37
A new efficient algorithm based on feedforward neural network for solving differential equations of fractional order	37
Observer normal form design for the nonlinear MIMO systems using coupled auxiliary dynamics	37
A generalized penalty method for a new class of differential inequality system	36
Comparison of pandemic intervention policies in several building types using heterogeneous population model	36
A discussion on nonlocality: From fractional derivative model to peridynamic model	35
Dynamics and profiles of a degenerated reaction–diffusion host-pathogen model with apparent and inapparent infection period	35
Existence and asymptotic behavior of normalized solutions for the HLS lower critical fractional Choquard equation with a local perturbation	34
A new kind of double phase elliptic inclusions with logarithmic perturbation terms I: Existence and extremality results	34
Dynamical inquest of refuge and bubbling issues in an interacting species system	34
Stability and error analysis of the SAV schemes for the inductionless MHD equations	34
Mode-matching technique for analyzing scattering in elastic shell chambers: Applications in trifurcated waveguide systems	34
Dynamics of a delayed discrete size-structured chemostat with periodic nutrient supply	33
On critical double phase Choquard problems with singular nonlinearity	33
Periodic measures for the stochastic delay modified Swift–Hohenberg lattice systems	33
A representation-theoretical approach to higher-dimensional Lie–Hamilton systems: The symplectic Lie algebra	32
A numerical study of N-periodic wave solutions to four integrable eq	32
Coverings and nonlocal symmetries as well as fundamental solutions of nonlinear equations derived from the nonisospectral AKNS hierarchy	32
Adaptive numerical solutions of time-fractional advection–diffusion–reaction equations	32
Extremization to fine tune physics informed neural networks for solving boundary value problems	31
Alternating direction implicit approach for the two-dimensional time fractional nonlinear Klein–Gordon and Sine–Gordon problems	31
Linear energy-stable method with correction technique for the Ohta–Kawasaki–Navier–Stokes model of incompressible diblock copolymer melt	31
An efficient numerical method for the anisotropic phase field dendritic crystal growth model	31
Persistence of return distribution sequence in financial markets	31
New results on the existence and uniqueness of positive almost periodic solution for the generalized Mackey–Glass hematopoietic model	31
Pullback measure attractors for non-autonomous stochastic FitzHugh–Nagumo system with distribution dependence on unbounded domains	30
Energy-based, geometric, and compositional formulation of fluid and plasma models	30
Regularity and strong convergence of numerical approximations for stochastic wave equations with multiplicative fractional Brownian motions	30
Distribution of suspended sediment in open channel turbulent flow through space-time fractional ADE	29
Two-grid FEM for fractional diffusion problems with limited regularity	29
Complex-order fractional diffusion in reaction-diffusion systems	29
The dynamic corridor of regolith transportation near a spinning-up asteroid	29
On a matrix KdV6 equation	29
Dual-triggered scheme for adaptive neural control of MIMO nonlinear switched systems against sensor and actuator attacks	29
Leader-following output consensus for strict-feedback nonlinear multiagent systems with edge-based event-triggered communications	29
Effects of a moving barrier on the first-passage time of a diffusing particle under stochastic resetting	29
Conservation laws of mean field games equations with time discounting	28
A stochastic analysis of a SIQR epidemic model with short and long-term prophylaxis	28

Reduction of algebraic delay systems to state-dependent delay systems	28
Stabilized finite element approximation of the Swift–Hohenberg model on evolving surfaces	28
Modelling of HIV viral load and 2-LTR dynamics during high active antiretroviral therapy in a heterogeneous environment	28
Difference methods for time discretization of spectral fractional stochastic wave equation	28
Three- and four-wave resonances in the nonlinear quadratic Kelvin lattice	28
Robust equilibrium strategies for time-inconsistent stochastic optimal control problems with applications	27
Dominant causal factors of failure performance of cross-jointed segmental lining	27
Stabilization of impulsive hybrid stochastic differential equations with Lévy noise by feedback control based on discrete-time state observations	27
Numerical simulation and new controller design of steerable nano-mirror in ionic liquid electrolytes	27
Global exponential stability and stabilization of stochastic memristive neural networks with spatial diffusions and hybrid delays	27
Event-triggered set stabilization of impulsive logical control networks based on the hybrid index model approach	26
Self-organization of nested patterns in a coupled spatiotemporal phytoplankton-zooplankton system	26
Existence and nonexistence of traveling waves of coupled Burgers’ equations	26
Attractivity of the disease-free subspace in epidemic models	26
Stochastic dynamical modeling of competitive interactions with saturation and fear in coral reef ecosystem	26
KAM quasi-periodic solutions for the dissipative standard map	26
Simultaneous control of rigidity and hand tremor by adaptive fuzzy Q-learning	26
Time-fractional porous medium equation: Erdélyi–Kober integral equations, compactly supported solutions, and numerical methods	26
Invasion dynamics of mussels in deterministic and stochastic environments: A mussel-algae model with manual removal	26
Lattice-based model for pricing contingent claims under mixed fractional Brownian motion	26
Finite-time boundary stabilization for Korteweg–de Vries–Burgers equations	25
Limit cycles and chaos in planar hybrid systems	25
Competitive exclusion and coexistence in an intraguild predation model with Beddington–DeAngelis functional response	25
Interaction of one-dimensional quantum droplets with potential wells and barriers	25
A meshfree collocation method for solving the compressible Navier-Stokes equations	25
Nonlinear vibration of flexible two links manipulator with variable cross sections	25
Stability for nonlinear wave motions damped by time-dependent frictions	25
Long-time behaviors of wave equations stabilized by boundary memory damping and friction damping	25
Analysis of a semi-implicit and structure-preserving finite element method for the incompressible MHD equations with magnetic-current formulation	25
Large deviations for numerical approximation of stochastic differential delay equations	25
Command-filter based predefined-time neural adaptive decentralized control for interconnected systems with dynamic uncertainties	25
On the generalized logistic random differential equation: Theoretical analysis and numerical simulations with real-world data	25
Further results on distributed finite-time synchronization for fractional-order coupled neural networks	25
Rogue waves dynamics of cubic–quintic nonlinear Schrödinger equation with an external linear potential through a modified Noguchi electrical transmission network	25
Time-periodic traveling waves for a periodic Lotka–Volterra competition system with nonlocal dispersal	25
Dynamical behavior and numerical simulation of a stochastic eco-epidemiological model with Ornstein–Uhlenbeck process	24
Anomalous diffusion in nonlocal media via distributed-order fractional operators	24
A novel Fourier feature network for solving partial differential equations	24
Softening/hardening dynamics of beam resting on generalized nonlinear foundation with a linear stiffening effect	24
Boundary stabilization for a nonlinear flexible beam under an adaptive fractional-order proportional-integral control	24
A study of a nonlinear vibration isolator supported on an imperfect boundary plate	24
Unconditionally optimal error estimates of an IMEX finite element method for time-dependent penetrative convection problem based on the exponential-SAV technique	24
(Non)Commutativity and associativity of general fractional derivatives with different Sonin kernels	24
Unconditional superconvergence analysis of low-order conforming mixed finite element method for time-dependent incompressible MHD equations	24
Reducing vibration isolation frequency in an X-shaped two-stage nonlinear system	24
A study on torsional vibration attenuation of closed-loop crankshaft using nonlinear energy sink under abnormal engine operating condition	23
Efficient numerical schemes for the conserved Allen-Cahn phase-field surfactant system based on high order supplementary variable method	23
Coexistence of triple, quadruple attractors and Wada basin boundaries in a predator–prey model with additional food for predators	23
A reconstructed discontinuous approximation method for the porous medium equation	23
Non-asymptotic and robust estimation for a class of nonlinear fractional-order systems	23
Breather, lump and N-soliton wave solutions of the (2+1)-dimensional coupled nonlinear partial differential equation with variable coefficients	23
Analysis of a stochastic predator–prey model with weak Allee effect and Holling-(n+1) functional response	23
A new multi-component integrable coupling and its application to isospectral and nonisospectral problems	23
An energy-preserving finite difference scheme with fourth-order accuracy for the generalized Camassa–Holm equation	23
Fractional partial differential variational inequality	23
Automatic Proper Orthogonal Block Decomposition method for network dynamical systems with multiple timescales	23
Accelerated Douglas-Rachford splitting algorithm using neural network	23
Bifurcation analysis of an ecological model with nonlinear state–dependent feedback control by Poincaré map defined in phase set	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
Two fast finite difference methods for a class of variable-coefficient fractional diffusion equations with time delay	22
Editorial Board	22
Dynamics of a harmonically excited nonlinear pipe conveying fluid equipped with a local nonlinear energy sink	22
Synchronization in memristive HR neurons with hidden coexisting firing and lower energy under electrical and magnetic coupling	22
Optimizing target control in complex networks using edge-addition cost	22
Conditional physics informed neural networks	22
Event-triggered iterative learning containment control for one-sided Lipschitz nonlinear singular switched multi-agent systems with multiple leaders and error quantization	22
Computer validation of open gaps for the almost Mathieu operator with critical coupling	22
Research on the hybrid chaos-coud salp swarm algorithm	22
Resilient discontinuous event-triggering control for exponential stabilization of memristive neural networks under denial-of-service attacks	21
A new class of history-dependent quasi variational–hemivariational inequalities with constraints	21
A new stabilizer-free weak Galerkin mixed finite element method for the biharmonic equation on polygonal meshes	21
Characterization of global centers by the monodromy at infinity	21
Planar quartic–quadratic fold–fold singularity of Filippov systems and its bifurcation	21
Stability of nonlinear time-varying systems with delayed stochastic impulses	21
Performance assessment of energy-preserving, adaptive time-step variational integrators	21
Editorial Board	21
Stochastic bipartite synchrony under signed co-opetition CADNNs: A pth	21
Patterns of burned area by a cellular-automata fire simulator: The role of microscale wind field	21
Well-posedness and numerical analysis of an elapsed time model with strongly coupled neural networks	21
KAM quasi-periodic tori for the dissipative spin–orbit problem	21

The second type noncommutative KP and mKP equations with self-consistent sources and Miura transformation	21
Parametric resonance and stochastic stability of a vibro-impact system under bounded noise excitation	21
Computing two actuarial quantities under multilayer dividend strategy with a constant interest rate: Based on Sinc methods	21
Comparative dynamics analysis of the environmental policy efficacy in a nonlinear Cournot duopoly with differentiated goods and emission charges	20
Asymmetry of synchronisation tongue in persistent sodium plus potassium neuron model	20
A fast time-stepping method based on the hp	20
Modulational instability and sister chirped femtosecond modulated waves in a nonlinear Schrödinger equation with self-steepening and self-frequency shift	20
The analysis of geometrically nonlinear behavior of SMAs using RKPM	20
Editorial Board	20
Dynamical transition and bifurcation of a diffusive predator–prey model with an Allee effect on prey	20
On the numerical solution of the iterative parabolic equations by ETDRK pseudospectral methods in linear and nonlinear media	20
Spatial dispersal in chemostat systems with agent-based asymmetry	20
Numerical analysis of linearly implicit θ methods for a stochastic S	20
Topological energy of the distance matrix	20
Computer assisted proof of drift orbits along normally hyperbolic manifolds II: Application to the restricted three body problem	20
Electromagnetic field in a conducting medium modeled by the fractional Ohm’s law	19
Relative controllability of nonlinear switched fractional delayed systems	19
Asynchronous event-triggered H	19
Kernel functions embed into the autoencoder to identify the sparse models of nonlinear dynamics	19
Evolutionary dynamics of structured populations with density-dependent limitation of juvenile survival	19
Projected solutions for generalized quasivariational inequalities without compact constraint multimap	19
On the spatial spread of active control in a van der Pol ring via synchronisation and its stabilisation using parameter mismatch	19
Editorial Board	19
On rapid vibration suppression by nonlinear energy sink during first half cycle of oscillation	19
Consistency-enhanced E-SAV BDF2 time-marching method with relaxation for the hydrodynamically-coupled binary phase-field crystal model	19
Characterization of chimeras in coupled phase oscillators based on a coherence function	19
Asset price-GDP cross feedback. The role of dividend policies in a dynamic setting	19
Modified hat functions for constrained fractional optimal control problems with ψ	19
Numerical analysis of age-structured HIV model with general transmission mechanism	19
Stability of non-instantaneous impulsive systems in Hilbert spaces	19
Further stabilization criteria of continuous systems with aperiodic time-triggered intermittent control	19
Editorial Board	19
Random periodic solutions of SDEs driven by α	18
Analysis and numerical approximation to interactive dynamics of Navier Stokes-plate interaction PDE system	18
The dynamic analysis of the rumor spreading and behavior diffusion model with higher-order interactions	18
Distributed “End-Edge-Cloud” structural car-following control system for intelligent connected vehicle using sliding mode strategy	18
Fractal-Fractional Modeling of Monkeypox Transmission via Atangana-Baleanu Operators and Sumudu Transform Techniques	18
Security-based control design for synchronization of switched reaction diffusion neural networks with hybrid attacks	18
Fractional-order euler wavelet technique for multidimensional distributed-order optimal control problem	18
Heterogeneous consensus controller design for multi-agent saturated-input systems under switching topologies with partly unknown transition rates	18
Fully-discrete virtual element method with exact stress symmetry for the viscoelasticity problem on polygonal meshes	18
Regularity criteria for the 3D axisymmetric non-resistive MHD system	18
Nonlinear dynamical and harvesting characteristics of bistable energy harvester under hybrid base vibration and galloping	18
An emotion-information spreading model in social media on multiplex networks	18
Responses, optimization and prediction of energy harvesters under galloping and base excitations	18
Forecasting crude oil option prices with dynamic factors using integrated machine learning models	18
The high-order exponential semi-implicit scalar auxiliary variable approach for the general nonlocal Cahn-Hilliard equation	18
Singularities and heteroclinic connections in complex-valued evolutionary equations with a quadratic nonlinearity	18
Extremal parameter for double phase problem with concave–convex nonlinearity	18
Nonlinear dynamics of continuous steady-state tunable mechanical metamaterials based on planetary gears	18
Mikusiński’s operational calculus for multi-dimensional fractional operators with applications to fractional PDEs	18
A robust common-weights WENO scheme based on the flux vector splitting for Euler equations	18
Fixed-time output synchronization of multi-layer complex networks under dynamic event-triggering control	18
Adaptive finite-time pinned and regulation synchronization of disturbed complex networks	18
Evolution system of stochastic fractional differential mixed variational inequalities carrying Lévy jumps	18
An efficient energy-stable pseudospectral method for simulating vortex dynamics of the Ginzburg–Landau–Schrödinger equation	18
Normalized fractional gradient flow for nonlinear Schrödinger/Gross–Pitaevskii equations	18
On the periodic orbits of the continuous–discontinuous piecewise differential systems with three pieces separated by two parallel straight lines	18
A linearized L2-1σ	17
Stochastic conformal symplectic exponential Runge–Kutta–Nyström integrators for solving damped second-order SDEs with applications in damped stochastic nonlinear wave equations	17
Adaptive optimized consensus control for a class of nonlinear multi-agent systems with asymmetric input saturation constraints and hybrid faults	17
Theoretical analysis and high-performance implementation of low-rank approximations in NEGF-based quantum transport	17
Predefined time synchronization of fractional order chaotic system via sliding mode control	17
Delocalized nonlinear vibrational modes in fcc metals	17
A deep learning approach for solving the stationary compositional two-phase equilibrium problems	17
A kinetic theory model for the energy-demand management in a microgrid–macrogrid network	17
Partially known transition rates-based resilient H	17
On the selected problems of time-dependent dynamics of composite truncated conical shells-like aerospace structures	17
Editorial Board	17
A numerical study of the scattering in the He-Cu model with a Morse potential: Parabolic manifolds and exponentially small phenomena	17
Complex dynamics of a non-smooth temperature-sensitive memristive Wilson neuron model	17
Revealing bifurcation mechanisms in a 2D nonsmooth map by means of the first return map	17
Approximate symmetry of time-fractional partial differential equations with a small parameter	17
Superconvergence analysis and extrapolation of a BDF2 fully discrete scheme for nonlinear reaction–diffusion equations	17
A novel discontinuous Galerkin projection scheme for the hydrodynamics of nematic liquid crystals	17
Observability and observer design for a class of hyperbolic PDEs with van de Pol type boundary conditions	17
Nonlinear dynamics and onset of chaos in a physical model of a damper pressure relief valve	17
Stability analysis for neutral stochastic time-varying systems with delayed impulses	17
Nonlinear dynamic characteristics analysis of herringbone gear transmission system with tooth root crack	17
On convergence analysis of feedback control with integral action and discontinuous relay perturbation	17
Turing–Turing bifurcation in an activator–inhibitor system with gene expression time delay	17
Numerical energy dissipation for time fractional volume-conserved Allen–Cahn model based on the ESAV and R-ESAV approaches	17
Conservation laws of mean field games equations	17
A consistent projection finite element method for the non-stationary incompressible thermally coupled MHD equations	17
Diffusion transitions in a 2D periodic lattice	17
On a multivalued prescribed mean curvature problem and inclusions defined on dual spaces	17
Certain electromagnetic waves in a ferromagnetic film	16
Supercritical nonlinear transverse vibration of a hyperelastic beam under harmonic axial loading	16
Finite length Fermi–Pasta–Ulam–Tsingou-type chains: Periodic forced dynamics and interaction inhomogeneity	16
A stochastic averaging mathematical framework for design and optimization of nonlinear energy harvesters with several electrical DOFs	16
Convolution quadrature for Hadamard fractional calculus and correction methods for the subdiffusion with singular source terms	16
Slow-fast cycles with points of self-intersection	16
First Passage and First Exit Times for diffusion processes related to a general growth curve	16
Invariant subspace method for (m16
A new class of Caffarelli-Kohn-Nirenberg type differential inclusion problems with singular terms and multivalued convection	16