Communications in Nonlinear Science and Numerical Simulation

Article	Citations
A Brinkman–triple-porosity–permeability model and its discontinuous Galerkin methods	133
Editorial Board	111
Quasi-static filling of a disordered nanoporous medium with a non-wetting liquid as a process of self-organized criticality	106
A novel computational approach to reconstructing evolutionary fitness in self-replicating systems	96
Accelerating the convergence of Newton’s method for nonlinear elliptic PDEs using Fourier neural operators	95
An efficient numerical method for the anisotropic phase field dendritic crystal growth model	88
Nonlinear flexure mechanics of mixture unified gradient nanobeams	81
Understanding fast adsorption in single-solute breakthrough curves	81
Dynamical inquest of refuge and bubbling issues in an interacting species system	79
Alternating direction implicit approach for the two-dimensional time fractional nonlinear Klein–Gordon and Sine–Gordon problems	76
SIR dynamics with infection age in complex heterogeneous networks	68
Nonintrusive model order reduction for cross-diffusion systems	62
A coevolution model of defensive medicine, litigation and medical malpractice insurance	62
On critical double phase Choquard problems with singular nonlinearity	56
Healthy versus congestive heart failure patients—An approach via the Hurst parameter	55
A new kind of double phase elliptic inclusions with logarithmic perturbation terms I: Existence and extremality results	55
Structural and qualitative properties of a geometrically integrable equation	55
Nonlinear dynamics of the spacial vibration system considering the interactions between the frame and materials	55
New results on the existence and uniqueness of positive almost periodic solution for the generalized Mackey–Glass hematopoietic model	54
Coverings and nonlocal symmetries as well as fundamental solutions of nonlinear equations derived from the nonisospectral AKNS hierarchy	51
Identification of discontinuous parameters in contaminant convection–reaction–diffusion model of recovered fracturing fluid	49
Stabilization and destabilization of fractional oscillators via a delayed feedback control	49
Finite element approximation of a Keller–Segel model with additional self- and cross-diffusion terms and a logistic source	46
Exponentially fitted methods that preserve conservation laws	44
	43

Periodic propagation of complex-valued hyperbolic-cosine-Gaussian solitons and breathers with complicated light field structure in strongly nonlocal nonlinear media	43
Containment control of PDE-type T–S fuzzy multi-agent systems via event-triggered scheme	42
Fractional derivative resolution of the anomalous magnetic field diffusion through a ferromagnetic steel rod: Application to eddy current testing	42
Regularity and strong convergence of numerical approximations for stochastic wave equations with multiplicative fractional Brownian motions	42
On triple-adaptive projection method for bilevel split variational inequalities with CFPP constraint of finite Bregman relatively demicontractions in Banach spaces	42
Model and numerical method for soliton propagation through thermal medium based on nonlinear Schrödinger and heat transfer equations	41
Dynamic analysis and performance evaluation of inerter fractional nonlinear quasi-zero stiffness isolator on a multi-span bridge under moving load	40
Tunable subdiffusion in the Caputo fractional standard map	40
Mode-matching technique for analyzing scattering in elastic shell chambers: Applications in trifurcated waveguide systems	40
Mathematical modeling to investigate the influence of vaccination and booster doses on the spread of Omicron	40
A representation-theoretical approach to higher-dimensional Lie–Hamilton systems: The symplectic Lie algebra	40
The construction of an optimal fourth-order fractional-compact-type numerical differential formula of the Riesz derivative and its application	39
Periodic measures for the stochastic delay modified Swift–Hohenberg lattice systems	39
A discussion on nonlocality: From fractional derivative model to peridynamic model	39
Input-to-state stability of stochastic differential systems with hybrid delay-dependent impulses	38
Comparison of pandemic intervention policies in several building types using heterogeneous population model	37
Mathematical study of a new coupled electro-thermo radiofrequency model of cardiac tissue	36
The impact of different strategy update mechanisms on information dissemination under hyper network vision	36
A new efficient algorithm based on feedforward neural network for solving differential equations of fractional order	36
Linear energy-stable method with correction technique for the Ohta–Kawasaki–Navier–Stokes model of incompressible diblock copolymer melt	35
Topological features of multivariate distributions: Dependency on the covariance matrix	35
Observer normal form design for the nonlinear MIMO systems using coupled auxiliary dynamics	34
Recent advances in a rigorous computation of Poincaré maps	34
Extreme intermodal energy transfers through vibro-impacts for highly effective and rapid blast mitigation	34
Stationary response determination of MDOF fractional nonlinear systems subjected to combined colored noise and periodic excitation	33
The art of solving a large number of non-stiff, low-dimensional ordinary differential equation systems on GPUs and CPUs	33
Unconditionally optimal error analysis of a two-grid FEM for semilinear reaction-subdiffusion problems with a weak initial singularity	33
Dynamics of a delayed discrete size-structured chemostat with periodic nutrient supply	33
A numerical study of N-periodic wave solutions to four integrable eq	32
Adaptive numerical solutions of time-fractional advection–diffusion–reaction equations	32
A generalized penalty method for a new class of differential inequality system	32
Dynamics and profiles of a degenerated reaction–diffusion host-pathogen model with apparent and inapparent infection period	32
Pullback measure attractors for non-autonomous stochastic FitzHugh–Nagumo system with distribution dependence on unbounded domains	31
Adaptive fuzzy asymptotic predefined-time tracking control of uncertain nonlinear systems based on event-trigger	31
Extremization to fine tune physics informed neural networks for solving boundary value problems	31
Persistence of return distribution sequence in financial markets	31
Stability and error analysis of the SAV schemes for the inductionless MHD equations	31
On a matrix KdV6 equation	30
Reducing vibration isolation frequency in an X-shaped two-stage nonlinear system	30
Effects of a moving barrier on the first-passage time of a diffusing particle under stochastic resetting	30
Leader-following output consensus for strict-feedback nonlinear multiagent systems with edge-based event-triggered communications	29
Synchronization in memristive HR neurons with hidden coexisting firing and lower energy under electrical and magnetic coupling	29
Optimizing target control in complex networks using edge-addition cost	29
The dynamic corridor of regolith transportation near a spinning-up asteroid	29
Two-grid FEM for fractional diffusion problems with limited regularity	29
Finite-time boundary stabilization for Korteweg–de Vries–Burgers equations	29
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	29
Command-filter based predefined-time neural adaptive decentralized control for interconnected systems with dynamic uncertainties	29
Further results on distributed finite-time synchronization for fractional-order coupled neural networks	29
On the generalized logistic random differential equation: Theoretical analysis and numerical simulations with real-world data	28

A new multi-component integrable coupling and its application to isospectral and nonisospectral problems	28
Two fast finite difference methods for a class of variable-coefficient fractional diffusion equations with time delay	28
Stability for nonlinear wave motions damped by time-dependent frictions	28
Limit cycles and chaos in planar hybrid systems	28
A stochastic analysis of a SIQR epidemic model with short and long-term prophylaxis	27
Difference methods for time discretization of spectral fractional stochastic wave equation	27
Nonlinear anomalous information diffusion model in social networks	27
Automatic Proper Orthogonal Block Decomposition method for network dynamical systems with multiple timescales	27
Stabilized finite element approximation of the Swift–Hohenberg model on evolving surfaces	27
Modelling of HIV viral load and 2-LTR dynamics during high active antiretroviral therapy in a heterogeneous environment	27
Three- and four-wave resonances in the nonlinear quadratic Kelvin lattice	26
Robust equilibrium strategies for time-inconsistent stochastic optimal control problems with applications	26
KAM quasi-periodic solutions for the dissipative standard map	26
Time-fractional porous medium equation: Erdélyi–Kober integral equations, compactly supported solutions, and numerical methods	26
Dominant causal factors of failure performance of cross-jointed segmental lining	26
Numerical simulation and new controller design of steerable nano-mirror in ionic liquid electrolytes	26
Lattice-based model for pricing contingent claims under mixed fractional Brownian motion	26
Global exponential stability and stabilization of stochastic memristive neural networks with spatial diffusions and hybrid delays	26
Existence and nonexistence of traveling waves of coupled Burgers’ equations	26
Simultaneous control of rigidity and hand tremor by adaptive fuzzy Q-learning	26
Stabilization of impulsive hybrid stochastic differential equations with Lévy noise by feedback control based on discrete-time state observations	25
Breather, lump and N-soliton wave solutions of the (2+1)-dimensional coupled nonlinear partial differential equation with variable coefficients	25
Dual-triggered scheme for adaptive neural control of MIMO nonlinear switched systems against sensor and actuator attacks	25
Learning Vector Fields of Differential Equations on Manifolds with Curvature-Adaptive Geometrically Constrained SINDy	25
Complex-order fractional diffusion in reaction-diffusion systems	25
Fractional partial differential variational inequality	25
Long-time behaviors of wave equations stabilized by boundary memory damping and friction damping	25
(Non)Commutativity and associativity of general fractional derivatives with different Sonin kernels	25
Event-triggered set stabilization of impulsive logical control networks based on the hybrid index model approach	25
Stochastic dynamical modeling of competitive interactions with saturation and fear in coral reef ecosystem	24
Event-triggered iterative learning containment control for one-sided Lipschitz nonlinear singular switched multi-agent systems with multiple leaders and error quantization	24
Analysis of a stochastic predator–prey model with weak Allee effect and Holling-(n+1) functional response	24
Dynamics of a harmonically excited nonlinear pipe conveying fluid equipped with a local nonlinear energy sink	24
Self-organization of nested patterns in a coupled spatiotemporal phytoplankton-zooplankton system	24
A study on torsional vibration attenuation of closed-loop crankshaft using nonlinear energy sink under abnormal engine operating condition	24
An energy-preserving finite difference scheme with fourth-order accuracy for the generalized Camassa–Holm equation	24
Softening/hardening dynamics of beam resting on generalized nonlinear foundation with a linear stiffening effect	24
Dynamical behavior and numerical simulation of a stochastic eco-epidemiological model with Ornstein–Uhlenbeck process	24
Time-periodic traveling waves for a periodic Lotka–Volterra competition system with nonlocal dispersal	24
Non-asymptotic and robust estimation for a class of nonlinear fractional-order systems	24
Efficient numerical schemes for the conserved Allen-Cahn phase-field surfactant system based on high order supplementary variable method	24
Competitive exclusion and coexistence in an intraguild predation model with Beddington–DeAngelis functional response	24
Invasion dynamics of mussels in deterministic and stochastic environments: A mussel-algae model with manual removal	24
Conditional physics informed neural networks	23
Interaction of one-dimensional quantum droplets with potential wells and barriers	23
Rogue waves dynamics of cubic–quintic nonlinear Schrödinger equation with an external linear potential through a modified Noguchi electrical transmission network	23
Editorial Board	23
Analysis of a semi-implicit and structure-preserving finite element method for the incompressible MHD equations with magnetic-current formulation	23
Unconditional superconvergence analysis of low-order conforming mixed finite element method for time-dependent incompressible MHD equations	23
Research on the hybrid chaos-coud salp swarm algorithm	23
A new stabilizer-free weak Galerkin mixed finite element method for the biharmonic equation on polygonal meshes	23
Bifurcation analysis of an ecological model with nonlinear state–dependent feedback control by Poincaré map defined in phase set	23
Coexistence of triple, quadruple attractors and Wada basin boundaries in a predator–prey model with additional food for predators	23
Editorial Board	23
A study of a nonlinear vibration isolator supported on an imperfect boundary plate	23
On convergence analysis of feedback control with integral action and discontinuous relay perturbation	22
Mikusiński’s operational calculus for multi-dimensional fractional operators with applications to fractional PDEs	22
Stochastic conformal symplectic exponential Runge–Kutta–Nyström integrators for solving damped second-order SDEs with applications in damped stochastic nonlinear wave equations	22
Spatial dispersal in chemostat systems with agent-based asymmetry	22
Turing–Turing bifurcation in an activator–inhibitor system with gene expression time delay	22
Asymmetry of synchronisation tongue in persistent sodium plus potassium neuron model	22
Computing two actuarial quantities under multilayer dividend strategy with a constant interest rate: Based on Sinc methods	22
Stability of non-instantaneous impulsive systems in Hilbert spaces	22
Resilient discontinuous event-triggering control for exponential stabilization of memristive neural networks under denial-of-service attacks	22
Patterns of burned area by a cellular-automata fire simulator: The role of microscale wind field	22
Comparative dynamics analysis of the environmental policy efficacy in a nonlinear Cournot duopoly with differentiated goods and emission charges	22
Further stabilization criteria of continuous systems with aperiodic time-triggered intermittent control	22
Characterization of global centers by the monodromy at infinity	22
Planar quartic–quadratic fold–fold singularity of Filippov systems and its bifurcation	22
KAM quasi-periodic tori for the dissipative spin–orbit problem	22
Parametric resonance and stochastic stability of a vibro-impact system under bounded noise excitation	22
Stability of nonlinear time-varying systems with delayed stochastic impulses	22
The analysis of geometrically nonlinear behavior of SMAs using RKPM	22
Distributed “End-Edge-Cloud” structural car-following control system for intelligent connected vehicle using sliding mode strategy	22
Stochastic bipartite synchrony under signed co-opetition CADNNs: A pth	22
On the numerical solution of the iterative parabolic equations by ETDRK pseudospectral methods in linear and nonlinear media	21
Computer assisted proof of drift orbits along normally hyperbolic manifolds II: Application to the restricted three body problem	21
Editorial Board	21
Radius evolution for bubbles with elastic shells	21
Modulational instability and sister chirped femtosecond modulated waves in a nonlinear Schrödinger equation with self-steepening and self-frequency shift	21

Topological energy of the distance matrix	21
Dynamical transition and bifurcation of a diffusive predator–prey model with an Allee effect on prey	21
A fast time-stepping method based on the hp	21
Asset price-GDP cross feedback. The role of dividend policies in a dynamic setting	20
Stochastic 0-dimensional Biogeochemical Flux Model: Effect of temperature fluctuations on the dynamics of the biogeochemical properties in a marine ecosystem	20
Editorial Board	20
Editorial Board	20
Revealing bifurcation mechanisms in a 2D nonsmooth map by means of the first return map	20
On the spatial spread of active control in a van der Pol ring via synchronisation and its stabilisation using parameter mismatch	20
Projected solutions for generalized quasivariational inequalities without compact constraint multimap	20
Electromagnetic field in a conducting medium modeled by the fractional Ohm’s law	20
Modified hat functions for constrained fractional optimal control problems with ψ	20
Responses, optimization and prediction of energy harvesters under galloping and base excitations	19
On rapid vibration suppression by nonlinear energy sink during first half cycle of oscillation	19
A robust common-weights WENO scheme based on the flux vector splitting for Euler equations	19
Regularity criteria for the 3D axisymmetric non-resistive MHD system	19
Characterization of chimeras in coupled phase oscillators based on a coherence function	19
Visualizing the phase space of the HeI2 van der Waals complex usin	19
Asynchronous event-triggered H	19
Adaptive finite-time pinned and regulation synchronization of disturbed complex networks	19
Forecasting crude oil option prices with dynamic factors using integrated machine learning models	19
Approximate symmetry of time-fractional partial differential equations with a small parameter	19
The high-order exponential semi-implicit scalar auxiliary variable approach for the general nonlocal Cahn-Hilliard equation	19
Numerical analysis of age-structured HIV model with general transmission mechanism	19
Consistency-enhanced E-SAV BDF2 time-marching method with relaxation for the hydrodynamically-coupled binary phase-field crystal model	19
Adaptive optimized consensus control for a class of nonlinear multi-agent systems with asymmetric input saturation constraints and hybrid faults	19
Performance assessment of energy-preserving, adaptive time-step variational integrators	19
An emotion-information spreading model in social media on multiplex networks	19
Kernel functions embed into the autoencoder to identify the sparse models of nonlinear dynamics	19
Nonlinear dynamical and harvesting characteristics of bistable energy harvester under hybrid base vibration and galloping	19
Nonlinear dynamics of continuous steady-state tunable mechanical metamaterials based on planetary gears	19
An efficient energy-stable pseudospectral method for simulating vortex dynamics of the Ginzburg–Landau–Schrödinger equation	19
Relative controllability of nonlinear switched fractional delayed systems	19
Fixed-time output synchronization of multi-layer complex networks under dynamic event-triggering control	19
Nonlinear dynamic characteristics analysis of herringbone gear transmission system with tooth root crack	18
On the periodic orbits of the continuous–discontinuous piecewise differential systems with three pieces separated by two parallel straight lines	18
On the selected problems of time-dependent dynamics of composite truncated conical shells-like aerospace structures	18
Stability analysis for neutral stochastic time-varying systems with delayed impulses	18
A novel discontinuous Galerkin projection scheme for the hydrodynamics of nematic liquid crystals	18
A linearized L2-1σ	18
Singularities and heteroclinic connections in complex-valued evolutionary equations with a quadratic nonlinearity	18
The dynamic analysis of the rumor spreading and behavior diffusion model with higher-order interactions	18
Heterogeneous consensus controller design for multi-agent saturated-input systems under switching topologies with partly unknown transition rates	18
Complex dynamics of a non-smooth temperature-sensitive memristive Wilson neuron model	18
Command filter approximator-based fixed-time fuzzy control for uncertain nonlinear systems with input saturation	18
Space fractional Allen–Cahn equation and its applications in phase separation: A numerical study	18
Oscillatory sliding in the presence of asymmetric friction	18
Superconvergence analysis and extrapolation of a BDF2 fully discrete scheme for nonlinear reaction–diffusion equations	18
Delocalized nonlinear vibrational modes in fcc metals	18
Security-based control design for synchronization of switched reaction diffusion neural networks with hybrid attacks	18
Extremal parameter for double phase problem with concave–convex nonlinearity	18
A numerical study of the scattering in the He-Cu model with a Morse potential: Parabolic manifolds and exponentially small phenomena	18
Robust globally divergence-free weak Galerkin methods for unsteady incompressible convective Brinkman–Forchheimer equations	18
Conservation laws of mean field games equations	18
A deep learning approach for solving the stationary compositional two-phase equilibrium problems	18
Numerical energy dissipation for time fractional volume-conserved Allen–Cahn model based on the ESAV and R-ESAV approaches	18
A new class of history-dependent quasi variational–hemivariational inequalities with constraints	18
Evolutionary dynamics of structured populations with density-dependent limitation of juvenile survival	18
Normalized fractional gradient flow for nonlinear Schrödinger/Gross–Pitaevskii equations	18
Diffusion transitions in a 2D periodic lattice	17
On a multivalued prescribed mean curvature problem and inclusions defined on dual spaces	17
High-order moment interval stability/stabilization and observability of stochastic impulsive T–S fuzzy systems	17
Stability for Markov switching stochastic delay systems binding event-triggered mechanism to activate multi-impulse jumps	17
Periodic traveling waves for a diffusive SIR epidemic model with general nonlinear incidence and external supplies	17
Editorial Board	17
Perturbation-based approximate analytic solutions to an articulated SLIP model for legged robots	17
A study of non-equilibrium wave groups in two-phase flow in high-contrast porous media with relative permeability hysteresis	17
Investigation of magneto-electro-thermo-mechanical loads on nonlinear forced vibrations of composite cylindrical shells	17
Partially known transition rates-based resilient H	17
A kinetic theory model for the energy-demand management in a microgrid–macrogrid network	17
Adaptive practical prescribed-time formation tracking of networked nonlinear multiagent systems with quantized inter-agent communication	17
A consistent projection finite element method for the non-stationary incompressible thermally coupled MHD equations	17
Phase computation for the finite-genus solutions to the focusing nonlinear Schrödinger equation using convolutional neural networks	17
Periodic solutions of a tapping mode cantilever in an Atomic Force Microscope with harmonic excitation	17
Small amplitude quasi-periodic solutions for the forced radial vibrations of cylindrical shells with incompressible materials	17
Nonlinear dynamics and onset of chaos in a physical model of a damper pressure relief valve	17
Observability and observer design for a class of hyperbolic PDEs with van de Pol type boundary conditions	17
Editorial Board	17
On a Schrödinger equation involving fractional (N	17
Evolution of rotational motions of a nearly dynamically spherical rigid body with a moving mass	17
Direct and inverse problems for a 2D heat equation with a Dirichlet–Neumann–Wentzell boundary condition	17
Entire solutions originating from semi-trivial pulsating fronts of reaction–advection–diffusion competition systems in periodic media	17
Exponential input-to-state stability of delay Korteweg–de Vries–Burgers equations	17
Generalization of Noether Theorem and action principle for non-Lagrangian theories	17
Dynamic response and chaos analysis of a spatial multi-body system with multiple clearance joints and a flexible component	16
An adaptive algorithm for numerically solving fractional partial differential equations using Hermite wavelet artificial neural networks	16
A second-order Strang splitting scheme for the generalized Allen–Cahn type phase-field crystal model with FCC ordering structure	16
Dynamics of an age-structured SIS epidemic model with local dispersal and general incidence functions	16
Robust set stabilization of Boolean control networks with edge removal perturbations	16
A re-scaling spectral collocation method for the nonlinear fractional pantograph delay differential equations with non-smooth solutions	16
Numerical modeling of stress state-dependent anisotropic fracture behavior for WE43 alloy	16
Multi-physical cooperative control of plug-in hybrid electric vehicles via cyber hierarchy and interactional network	16
Approximate analytical solution for transient heat and mass transfer across an irregular interface	16
Design and experimental study of a two-stage nonlinear vibration isolators with quasi-zero stiffness	16
Self-similar solutions to the compressible Euler equations and their instabilities	16