Communications in Nonlinear Science and Numerical Simulation

Article	Citations
The art of solving a large number of non-stiff, low-dimensional ordinary differential equation systems on GPUs and CPUs	127
Coverings and nonlocal symmetries as well as fundamental solutions of nonlinear equations derived from the nonisospectral AKNS hierarchy	108
Nonlinear dynamics of the spacial vibration system considering the interactions between the frame and materials	107
Stabilization and destabilization of fractional oscillators via a delayed feedback control	97
Topological features of multivariate distributions: Dependency on the covariance matrix	87
An efficient numerical method for the anisotropic phase field dendritic crystal growth model	86
A generalized penalty method for a new class of differential inequality system	85
A coevolution model of defensive medicine, litigation and medical malpractice insurance	78
Persistence of return distribution sequence in financial markets	76
Dynamics of a delayed discrete size-structured chemostat with periodic nutrient supply	76
Extended state observer-based control of heartbeat described by heterogeneous coupled oscillator model	72
Identification of discontinuous parameters in contaminant convection–reaction–diffusion model of recovered fracturing fluid	69
Editorial Board	66
Quasi-static filling of a disordered nanoporous medium with a non-wetting liquid as a process of self-organized criticality	61
A novel computational approach to reconstructing evolutionary fitness in self-replicating systems	59
A new set and new relations of multiple soliton solutions of (2 + 1)-dimensional Sawada–Kotera equation	57
Extreme intermodal energy transfers through vibro-impacts for highly effective and rapid blast mitigation	54
Coupled crash mechanics and biomechanics of aircraft structures and passengers	54
SIR dynamics with infection age in complex heterogeneous networks	53
Model and numerical method for soliton propagation through thermal medium based on nonlinear Schrödinger and heat transfer equations	53
Dynamics and profiles of a degenerated reaction–diffusion host-pathogen model with apparent and inapparent infection period	53
Containment control of PDE-type T–S fuzzy multi-agent systems via event-triggered scheme	52
Stability and error analysis of the SAV schemes for the inductionless MHD equations	52
Stationary response determination of MDOF fractional nonlinear systems subjected to combined colored noise and periodic excitation	52
Fractional derivative resolution of the anomalous magnetic field diffusion through a ferromagnetic steel rod: Application to eddy current testing	50

Regularity and strong convergence of numerical approximations for stochastic wave equations with multiplicative fractional Brownian motions	49
A representation-theoretical approach to higher-dimensional Lie–Hamilton systems: The symplectic Lie algebra	48
On triple-adaptive projection method for bilevel split variational inequalities with CFPP constraint of finite Bregman relatively demicontractions in Banach spaces	47
The impact of different strategy update mechanisms on information dissemination under hyper network vision	46
Conservative local discontinuous Galerkin methods for a generalized system of strongly coupled nonlinear Schrödinger equations.	46
Exponentially fitted methods that preserve conservation laws	43
Numerical study of the ternary Cahn–Hilliard fluids by using an efficient modified scalar auxiliary variable approach	42
Finite element approximation of a Keller–Segel model with additional self- and cross-diffusion terms and a logistic source	42
A discussion on nonlocality: From fractional derivative model to peridynamic model	42
Tunable subdiffusion in the Caputo fractional standard map	41
Dynamical inquest of refuge and bubbling issues in an interacting species system	40
A new efficient algorithm based on feedforward neural network for solving differential equations of fractional order	40
Mathematical modeling to investigate the influence of vaccination and booster doses on the spread of Omicron	38
Observer normal form design for the nonlinear MIMO systems using coupled auxiliary dynamics	38
Adaptive numerical solutions of time-fractional advection–diffusion–reaction equations	38
Accelerating the convergence of Newton’s method for nonlinear elliptic PDEs using Fourier neural operators	38
Healthy versus congestive heart failure patients—An approach via the Hurst parameter	38
Alternating direction implicit approach for the two-dimensional time fractional nonlinear Klein–Gordon and Sine–Gordon problems	38
Nonintrusive model order reduction for cross-diffusion systems	37
Mode-matching technique for analyzing scattering in elastic shell chambers: Applications in trifurcated waveguide systems	37
Periodic measures for the stochastic delay modified Swift–Hohenberg lattice systems	37
Dynamic analysis and performance evaluation of inerter fractional nonlinear quasi-zero stiffness isolator on a multi-span bridge under moving load	36
Structural and qualitative properties of a geometrically integrable equation	36
On critical double phase Choquard problems with singular nonlinearity	36
New results on the existence and uniqueness of positive almost periodic solution for the generalized Mackey–Glass hematopoietic model	35
A new kind of double phase elliptic inclusions with logarithmic perturbation terms I: Existence and extremality results	35
Understanding fast adsorption in single-solute breakthrough curves	35
The construction of an optimal fourth-order fractional-compact-type numerical differential formula of the Riesz derivative and its application	34
Mathematical study of a new coupled electro-thermo radiofrequency model of cardiac tissue	34
Linear energy-stable method with correction technique for the Ohta–Kawasaki–Navier–Stokes model of incompressible diblock copolymer melt	34
Adaptive fuzzy asymptotic predefined-time tracking control of uncertain nonlinear systems based on event-trigger	33
Extremization to fine tune physics informed neural networks for solving boundary value problems	33
Comparison of pandemic intervention policies in several building types using heterogeneous population model	33
A numerical study of N-periodic wave solutions to four integrable eq	32
Periodic propagation of complex-valued hyperbolic-cosine-Gaussian solitons and breathers with complicated light field structure in strongly nonlocal nonlinear media	32
Nonlinear flexure mechanics of mixture unified gradient nanobeams	32
Input-to-state stability of stochastic differential systems with hybrid delay-dependent impulses	32
Relaxed explicit-Scalar Auxilliary Variable (R-Explict-SAV) method for hydrodynamically-coupled phase-field crystal model	32
Recent advances in a rigorous computation of Poincaré maps	32
Two-grid FEM for fractional diffusion problems with limited regularity	31
Three- and four-wave resonances in the nonlinear quadratic Kelvin lattice	31
Analysis of a stochastic predator–prey model with weak Allee effect and Holling-(n+1) functional response	31
Command-filter based predefined-time neural adaptive decentralized control for interconnected systems with dynamic uncertainties	30
Softening/hardening dynamics of beam resting on generalized nonlinear foundation with a linear stiffening effect	30
Unconditional superconvergence analysis of low-order conforming mixed finite element method for time-dependent incompressible MHD equations	30
Leader-following output consensus for strict-feedback nonlinear multiagent systems with edge-based event-triggered communications	30
Event-triggered set stabilization of impulsive logical control networks based on the hybrid index model approach	29
Dominant causal factors of failure performance of cross-jointed segmental lining	29
Stabilized finite element approximation of the Swift–Hohenberg model on evolving surfaces	29
Existence and nonexistence of traveling waves of coupled Burgers’ equations	29

Complex-order fractional diffusion in reaction-diffusion systems	29
Difference methods for time discretization of spectral fractional stochastic wave equation	29
Modeling large deformations of thin-walled SMA structures by shell finite elements	28
Finite-time boundary stabilization for Korteweg–de Vries–Burgers equations	27
Effects of a moving barrier on the first-passage time of a diffusing particle under stochastic resetting	27
Competitive exclusion and coexistence in an intraguild predation model with Beddington–DeAngelis functional response	27
Nonlinear anomalous information diffusion model in social networks	27
Long-time behaviors of wave equations stabilized by boundary memory damping and friction damping	27
Fractional partial differential variational inequality	27
Analysis of a semi-implicit and structure-preserving finite element method for the incompressible MHD equations with magnetic-current formulation	27
Two fast finite difference methods for a class of variable-coefficient fractional diffusion equations with time delay	27
Robust equilibrium strategies for time-inconsistent stochastic optimal control problems with applications	26
KAM quasi-periodic solutions for the dissipative standard map	26
Coexistence of triple, quadruple attractors and Wada basin boundaries in a predator–prey model with additional food for predators	26
Numerical simulation and new controller design of steerable nano-mirror in ionic liquid electrolytes	26
Limit cycles and chaos in planar hybrid systems	26
Nash Q-learning agents in Hotelling’s model: Reestablishing equilibrium	26
Time-periodic traveling waves for a periodic Lotka–Volterra competition system with nonlocal dispersal	26
Modelling of HIV viral load and 2-LTR dynamics during high active antiretroviral therapy in a heterogeneous environment	26
Breather, lump and N-soliton wave solutions of the (2+1)-dimensional coupled nonlinear partial differential equation with variable coefficients	26
Stability for nonlinear wave motions damped by time-dependent frictions	25
Interaction of one-dimensional quantum droplets with potential wells and barriers	25
Stabilization of impulsive hybrid stochastic differential equations with Lévy noise by feedback control based on discrete-time state observations	25
On a matrix KdV6 equation	25
An energy-preserving finite difference scheme with fourth-order accuracy for the generalized Camassa–Holm equation	24
Further results on distributed finite-time synchronization for fractional-order coupled neural networks	24
Reducing vibration isolation frequency in an X-shaped two-stage nonlinear system	24
Time-fractional porous medium equation: Erdélyi–Kober integral equations, compactly supported solutions, and numerical methods	24
Event-triggered iterative learning containment control for one-sided Lipschitz nonlinear singular switched multi-agent systems with multiple leaders and error quantization	24
On the generalized logistic random differential equation: Theoretical analysis and numerical simulations with real-world data	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
Application of ESN prediction model based on compressed sensing in stock market	24
A stochastic analysis of a SIQR epidemic model with short and long-term prophylaxis	23
Dynamics of a harmonically excited nonlinear pipe conveying fluid equipped with a local nonlinear energy sink	23
Dynamical behavior and numerical simulation of a stochastic eco-epidemiological model with Ornstein–Uhlenbeck process	23
Simultaneous control of rigidity and hand tremor by adaptive fuzzy Q-learning	23
Optimizing target control in complex networks using edge-addition cost	23
A new multi-component integrable coupling and its application to isospectral and nonisospectral problems	23
Rogue waves dynamics of cubic–quintic nonlinear Schrödinger equation with an external linear potential through a modified Noguchi electrical transmission network	23
Dual-triggered scheme for adaptive neural control of MIMO nonlinear switched systems against sensor and actuator attacks	23
Self-organization of nested patterns in a coupled spatiotemporal phytoplankton-zooplankton system	23
Automatic Proper Orthogonal Block Decomposition method for network dynamical systems with multiple timescales	23
Bifurcation analysis of an ecological model with nonlinear state–dependent feedback control by Poincaré map defined in phase set	23
Non-asymptotic and robust estimation for a class of nonlinear fractional-order systems	23
Global exponential stability and stabilization of stochastic memristive neural networks with spatial diffusions and hybrid delays	23
Synchronization in memristive HR neurons with hidden coexisting firing and lower energy under electrical and magnetic coupling	22
Editorial Board	22
A study of a nonlinear vibration isolator supported on an imperfect boundary plate	22
A study on torsional vibration attenuation of closed-loop crankshaft using nonlinear energy sink under abnormal engine operating condition	22
The high-order exponential semi-implicit scalar auxiliary variable approach for the general nonlocal Cahn-Hilliard equation	22
Conditional physics informed neural networks	22
Lattice-based model for pricing contingent claims under mixed fractional Brownian motion	22
A new class of history-dependent quasi variational–hemivariational inequalities with constraints	22
Editorial Board	21
Topological energy of the distance matrix	21
On the periodic orbits of the continuous–discontinuous piecewise differential systems with three pieces separated by two parallel straight lines	21
Characterization of chimeras in coupled phase oscillators based on a coherence function	21
Stability of non-instantaneous impulsive systems in Hilbert spaces	21
The analysis of geometrically nonlinear behavior of SMAs using RKPM	21
Asymmetry of synchronisation tongue in persistent sodium plus potassium neuron model	21
Research on the hybrid chaos-coud salp swarm algorithm	21
Nonlinear dynamics of continuous steady-state tunable mechanical metamaterials based on planetary gears	21
Radius evolution for bubbles with elastic shells	21
Parametric resonance and stochastic stability of a vibro-impact system under bounded noise excitation	21
Planar quartic–quadratic fold–fold singularity of Filippov systems and its bifurcation	21
Consistency-enhanced E-SAV BDF2 time-marching method with relaxation for the hydrodynamically-coupled binary phase-field crystal model	20
On the numerical solution of the iterative parabolic equations by ETDRK pseudospectral methods in linear and nonlinear media	20
Computing two actuarial quantities under multilayer dividend strategy with a constant interest rate: Based on Sinc methods	20
Asset price-GDP cross feedback. The role of dividend policies in a dynamic setting	20
Editorial Board	20
Visualizing the phase space of the HeI2 van der Waals complex usin	20
Modulational instability and sister chirped femtosecond modulated waves in a nonlinear Schrödinger equation with self-steepening and self-frequency shift	20
Editorial Board	20
The dynamic analysis of the rumor spreading and behavior diffusion model with higher-order interactions	20
Magnetic confinement of a neutral atom in a double-wire waveguide: A nonlinear dynamics approach	20
Approximate symmetry of time-fractional partial differential equations with a small parameter	20
Spatial dispersal in chemostat systems with agent-based asymmetry	20
On rapid vibration suppression by nonlinear energy sink during first half cycle of oscillation	20
On convergence analysis of feedback control with integral action and discontinuous relay perturbation	20
Editorial Board	20

Comparative dynamics analysis of the environmental policy efficacy in a nonlinear Cournot duopoly with differentiated goods and emission charges	20
Corrigendum to ‘Application of 3D curvature and torsion in evaluating aortic tortuosity’. [Commun. Nonlinear. Sci., 2020: 105619]	20
Revealing bifurcation mechanisms in a 2D nonsmooth map by means of the first return map	20
Regularity criteria for the 3D axisymmetric non-resistive MHD system	20
An efficient energy-stable pseudospectral method for simulating vortex dynamics of the Ginzburg–Landau–Schrödinger equation	20
Relative controllability of nonlinear switched fractional delayed systems	20
Complex dynamics of a non-smooth temperature-sensitive memristive Wilson neuron model	20
Heterogeneous consensus controller design for multi-agent saturated-input systems under switching topologies with partly unknown transition rates	20
A robust common-weights WENO scheme based on the flux vector splitting for Euler equations	19
Modified hat functions for constrained fractional optimal control problems with ψ	19
Stochastic 0-dimensional Biogeochemical Flux Model: Effect of temperature fluctuations on the dynamics of the biogeochemical properties in a marine ecosystem	19
Asynchronous event-triggered H	19
Eigenvalue problems and their perturbations for the weighted(p,	19
Fixed-time output synchronization of multi-layer complex networks under dynamic event-triggering control	19
On the spatial spread of active control in a van der Pol ring via synchronisation and its stabilisation using parameter mismatch	19
Turing–Turing bifurcation in an activator–inhibitor system with gene expression time delay	19
A fast time-stepping method based on the hp	19
Dynamical transition and bifurcation of a diffusive predator–prey model with an Allee effect on prey	19
Normalized fractional gradient flow for nonlinear Schrödinger/Gross–Pitaevskii equations	19
Nonlinear dynamical and harvesting characteristics of bistable energy harvester under hybrid base vibration and galloping	19
Extremal parameter for double phase problem with concave–convex nonlinearity	19
Kernel functions embed into the autoencoder to identify the sparse models of nonlinear dynamics	18
Numerical analysis of age-structured HIV model with general transmission mechanism	18
KAM quasi-periodic tori for the dissipative spin–orbit problem	18
Mikusiński’s operational calculus for multi-dimensional fractional operators with applications to fractional PDEs	18
Security-based control design for synchronization of switched reaction diffusion neural networks with hybrid attacks	18
Delocalized nonlinear vibrational modes in fcc metals	18
An emotion-information spreading model in social media on multiplex networks	18
Computer assisted proof of drift orbits along normally hyperbolic manifolds II: Application to the restricted three body problem	18
Electromagnetic field in a conducting medium modeled by the fractional Ohm’s law	18
Singularities and heteroclinic connections in complex-valued evolutionary equations with a quadratic nonlinearity	18
Projected solutions for generalized quasivariational inequalities without compact constraint multimap	18
Performance assessment of energy-preserving, adaptive time-step variational integrators	18
Forecasting crude oil option prices with dynamic factors using integrated machine learning models	18
Adaptive finite-time pinned and regulation synchronization of disturbed complex networks	18
Evolutionary dynamics of structured populations with density-dependent limitation of juvenile survival	18
Further stabilization criteria of continuous systems with aperiodic time-triggered intermittent control	18
Characterization of global centers by the monodromy at infinity	18
Adaptive optimized consensus control for a class of nonlinear multi-agent systems with asymmetric input saturation constraints and hybrid faults	18
Responses, optimization and prediction of energy harvesters under galloping and base excitations	18
Distributed “End-Edge-Cloud” structural car-following control system for intelligent connected vehicle using sliding mode strategy	18
Editorial Board	17
Similarity solutions of fractional parabolic boundary value problems with uncertainty	17
A numerical study of the scattering in the He-Cu model with a Morse potential: Parabolic manifolds and exponentially small phenomena	17
Oscillatory sliding in the presence of asymmetric friction	17
Phase computation for the finite-genus solutions to the focusing nonlinear Schrödinger equation using convolutional neural networks	17
Approximate analytical solution for transient heat and mass transfer across an irregular interface	17
On a multivalued prescribed mean curvature problem and inclusions defined on dual spaces	17
A study of non-equilibrium wave groups in two-phase flow in high-contrast porous media with relative permeability hysteresis	17
A deep learning approach for solving the stationary compositional two-phase equilibrium problems	17
Numerical energy dissipation for time fractional volume-conserved Allen–Cahn model based on the ESAV and R-ESAV approaches	17
A kinetic theory model for the energy-demand management in a microgrid–macrogrid network	17
Editorial Board	17
Entire solutions originating from semi-trivial pulsating fronts of reaction–advection–diffusion competition systems in periodic media	17
Nonlinear dynamic characteristics analysis of herringbone gear transmission system with tooth root crack	17
Nonlinear modal interactions of a linear oscillator coupled to a cubic nonlinear oscillator in the gravitational field	17
Perturbation-based approximate analytic solutions to an articulated SLIP model for legged robots	17
A second-order Strang splitting scheme for the generalized Allen–Cahn type phase-field crystal model with FCC ordering structure	17
Mechanisms for transient localization in a diatomic nonlinear chain	17
Exponential input-to-state stability of delay Korteweg–de Vries–Burgers equations	16
Discrete multi-soliton solutions and dynamics for a reverse-time nonlocal nonlinear self-dual network equation	16
Robust set stabilization of Boolean control networks with edge removal perturbations	16
Non-weighted H∞	16
An Improved Normal Compliance method for dynamic hyperelastic problems with energy conservation property	16
Nonlinear dynamics and onset of chaos in a physical model of a damper pressure relief valve	16
First Passage and First Exit Times for diffusion processes related to a general growth curve	16
Self-similar solutions to the compressible Euler equations and their instabilities	16
Certain electromagnetic waves in a ferromagnetic film	16
A class of delay differential variational inequalities with boundary conditions	16
Partially known transition rates-based resilient H	16
Adaptive practical prescribed-time formation tracking of networked nonlinear multiagent systems with quantized inter-agent communication	16
L2	16
Command filter approximator-based fixed-time fuzzy control for uncertain nonlinear systems with input saturation	16
Evolution of rotational motions of a nearly dynamically spherical rigid body with a moving mass	16
A re-scaling spectral collocation method for the nonlinear fractional pantograph delay differential equations with non-smooth solutions	16
On a Schrödinger equation involving fractional (N	16
A consistent projection finite element method for the non-stationary incompressible thermally coupled MHD equations	16
Stability for Markov switching stochastic delay systems binding event-triggered mechanism to activate multi-impulse jumps	16
An adaptive algorithm for numerically solving fractional partial differential equations using Hermite wavelet artificial neural networks	15
Complete classification on center of cubic planar systems symmetric with respect to a straight line	15
Numerical modeling of stress state-dependent anisotropic fracture behavior for WE43 alloy	15
Event-triggered prescribed performance adaptive secure control for nonlinear cyber physical systems under denial-of-service attacks	15
A numerical method for two-phase flow with its application to the Kelvin–Helmholtz instability problem	15
Inertial Halpern-type methods for variational inequality with application to medical image recovery	15
A stochastic averaging mathematical framework for design and optimization of nonlinear energy harvesters with several electrical DOFs	15
Periodic solutions of a tapping mode cantilever in an Atomic Force Microscope with harmonic excitation	15
Dynamics of an age-structured SIS epidemic model with local dispersal and general incidence functions	15
Stability analysis for neutral stochastic time-varying systems with delayed impulses	15
A linearized L2-1σ	15
On the selected problems of time-dependent dynamics of composite truncated conical shells-like aerospace structures	15
Dynamic response and chaos analysis of a spatial multi-body system with multiple clearance joints and a flexible component	15
Observability and observer design for a class of hyperbolic PDEs with van de Pol type boundary conditions	15
Design and experimental study of a two-stage nonlinear vibration isolators with quasi-zero stiffness	15
Supercritical nonlinear transverse vibration of a hyperelastic beam under harmonic axial loading	15
Sliding-mode surface-based approximate optimal control for nonlinear multiplayer Stackelberg-Nash games via adaptive dynamic programming	15