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	119
Coverings and nonlocal symmetries as well as fundamental solutions of nonlinear equations derived from the nonisospectral AKNS hierarchy	105
Nonlinear dynamics of the spacial vibration system considering the interactions between the frame and materials	100
Stabilization and destabilization of fractional oscillators via a delayed feedback control	85
Topological features of multivariate distributions: Dependency on the covariance matrix	83
An efficient numerical method for the anisotropic phase field dendritic crystal growth model	79
Understanding fast adsorption in single-solute breakthrough curves	78
Exponentially fitted methods that preserve conservation laws	78
A coevolution model of defensive medicine, litigation and medical malpractice insurance	74
A generalized penalty method for a new class of differential inequality system	74
Persistence of return distribution sequence in financial markets	73
Dynamics of a delayed discrete size-structured chemostat with periodic nutrient supply	70
Dynamics and profiles of a degenerated reaction–diffusion host-pathogen model with apparent and inapparent infection period	67
Numerical modeling for strain rate effect and size effect of ice under uniaxial tension and compression	64
Extended state observer-based control of heartbeat described by heterogeneous coupled oscillator model	58
Identification of discontinuous parameters in contaminant convection–reaction–diffusion model of recovered fracturing fluid	55
Conservative local discontinuous Galerkin methods for a generalized system of strongly coupled nonlinear Schrödinger equations.	54
Editorial Board	52
Tunable subdiffusion in the Caputo fractional standard map	52
Quasi-static filling of a disordered nanoporous medium with a non-wetting liquid as a process of self-organized criticality	52
Structural and qualitative properties of a geometrically integrable equation	51
Extremization to fine tune physics informed neural networks for solving boundary value problems	49
Coupled crash mechanics and biomechanics of aircraft structures and passengers	49
Mode-matching technique for analyzing scattering in elastic shell chambers: Applications in trifurcated waveguide systems	48
A discussion on nonlocality: From fractional derivative model to peridynamic model	48

Accelerating the convergence of Newton’s method for nonlinear elliptic PDEs using Fourier neural operators	46
Periodic measures for the stochastic delay modified Swift–Hohenberg lattice systems	45
Adaptive fuzzy asymptotic predefined-time tracking control of uncertain nonlinear systems based on event-trigger	45
Regularity and strong convergence of numerical approximations for stochastic wave equations with multiplicative fractional Brownian motions	44
The impact of different strategy update mechanisms on information dissemination under hyper network vision	43
A representation-theoretical approach to higher-dimensional Lie–Hamilton systems: The symplectic Lie algebra	43
Input-to-state stability of stochastic differential systems with hybrid delay-dependent impulses	43
A novel computational approach to reconstructing evolutionary fitness in self-replicating systems	43
Nonlinear flexure mechanics of mixture unified gradient nanobeams	41
Alternating direction implicit approach for the two-dimensional time fractional nonlinear Klein–Gordon and Sine–Gordon problems	41
Comparison of pandemic intervention policies in several building types using heterogeneous population model	40
A new set and new relations of multiple soliton solutions of (2 + 1)-dimensional Sawada–Kotera equation	39
Nonintrusive model order reduction for cross-diffusion systems	39
Mathematical study of a new coupled electro-thermo radiofrequency model of cardiac tissue	38
Healthy versus congestive heart failure patients—An approach via the Hurst parameter	38
A new kind of double phase elliptic inclusions with logarithmic perturbation terms I: Existence and extremality results	37
SIR dynamics with infection age in complex heterogeneous networks	37
Extreme intermodal energy transfers through vibro-impacts for highly effective and rapid blast mitigation	37
A numerical study of N-periodic wave solutions to four integrable eq	37
On critical double phase Choquard problems with singular nonlinearity	37
Recent advances in a rigorous computation of Poincaré maps	37
Dynamical inquest of refuge and bubbling issues in an interacting species system	36
Numerical study of the ternary Cahn–Hilliard fluids by using an efficient modified scalar auxiliary variable approach	36
Finite element approximation of a Keller–Segel model with additional self- and cross-diffusion terms and a logistic source	36
Stationary response determination of MDOF fractional nonlinear systems subjected to combined colored noise and periodic excitation	35
Adaptive numerical solutions of time-fractional advection–diffusion–reaction equations	35
New results on the existence and uniqueness of positive almost periodic solution for the generalized Mackey–Glass hematopoietic model	34
Mathematical modeling to investigate the influence of vaccination and booster doses on the spread of Omicron	34
Particle-based numerical modeling of a thin granular layer subjected to oscillating flow	34
On triple-adaptive projection method for bilevel split variational inequalities with CFPP constraint of finite Bregman relatively demicontractions in Banach spaces	34
Observer normal form design for the nonlinear MIMO systems using coupled auxiliary dynamics	33
Linear energy-stable method with correction technique for the Ohta–Kawasaki–Navier–Stokes model of incompressible diblock copolymer melt	33
The construction of an optimal fourth-order fractional-compact-type numerical differential formula of the Riesz derivative and its application	32
Model and numerical method for soliton propagation through thermal medium based on nonlinear Schrödinger and heat transfer equations	32
Periodic propagation of complex-valued hyperbolic-cosine-Gaussian solitons and breathers with complicated light field structure in strongly nonlocal nonlinear media	31
Fractional derivative resolution of the anomalous magnetic field diffusion through a ferromagnetic steel rod: Application to eddy current testing	31
Stability and error analysis of the SAV schemes for the inductionless MHD equations	31
Dynamic analysis and performance evaluation of inerter fractional nonlinear quasi-zero stiffness isolator on a multi-span bridge under moving load	31
Complex-order fractional diffusion in reaction-diffusion systems	30
Existence and nonexistence of traveling waves of coupled Burgers’ equations	30
Simultaneous control of rigidity and hand tremor by adaptive fuzzy Q-learning	30
Breather, lump and N-soliton wave solutions of the (2+1)-dimensional coupled nonlinear partial differential equation with variable coefficients	30
Reducing vibration isolation frequency in an X-shaped two-stage nonlinear system	30
A hyper-block self-consistent approach to nonlinear Schrodinger equations: Breeding, metamorphosis, and killing of Hofstadter Butterflies	30
A new efficient algorithm based on feedforward neural network for solving differential equations of fractional order	30
An energy-preserving finite difference scheme with fourth-order accuracy for the generalized Camassa–Holm equation	29
Three- and four-wave resonances in the nonlinear quadratic Kelvin lattice	29
Automatic Proper Orthogonal Block Decomposition method for network dynamical systems with multiple timescales	28
Stabilized finite element approximation of the Swift–Hohenberg model on evolving surfaces	28
Dynamical behavior and numerical simulation of a stochastic eco-epidemiological model with Ornstein–Uhlenbeck process	28

Competitive exclusion and coexistence in an intraguild predation model with Beddington–DeAngelis functional response	28
Softening/hardening dynamics of beam resting on generalized nonlinear foundation with a linear stiffening effect	28
A stochastic analysis of a SIQR epidemic model with short and long-term prophylaxis	27
Modeling large deformations of thin-walled SMA structures by shell finite elements	27
Command-filter based predefined-time neural adaptive decentralized control for interconnected systems with dynamic uncertainties	27
Long-time behaviors of wave equations stabilized by boundary memory damping and friction damping	27
On a matrix KdV6 equation	27
Event-triggered set stabilization of impulsive logical control networks based on the hybrid index model approach	27
Unconditional superconvergence analysis of low-order conforming mixed finite element method for time-dependent incompressible MHD equations	27
Global exponential stability and stabilization of stochastic memristive neural networks with spatial diffusions and hybrid delays	26
Time-fractional porous medium equation: Erdélyi–Kober integral equations, compactly supported solutions, and numerical methods	26
Robust equilibrium strategies for time-inconsistent stochastic optimal control problems with applications	26
Time-periodic traveling waves for a periodic Lotka–Volterra competition system with nonlocal dispersal	26
Optimizing target control in complex networks using edge-addition cost	26
Two fast finite difference methods for a class of variable-coefficient fractional diffusion equations with time delay	26
Modelling of HIV viral load and 2-LTR dynamics during high active antiretroviral therapy in a heterogeneous environment	25
Rogue waves dynamics of cubic–quintic nonlinear Schrödinger equation with an external linear potential through a modified Noguchi electrical transmission network	25
Non-asymptotic and robust estimation for a class of nonlinear fractional-order systems	25
Numerical simulation and new controller design of steerable nano-mirror in ionic liquid electrolytes	25
Stabilization of impulsive hybrid stochastic differential equations with Lévy noise by feedback control based on discrete-time state observations	25
A new multi-component integrable coupling and its application to isospectral and nonisospectral problems	25
Dominant causal factors of failure performance of cross-jointed segmental lining	25
Limit cycles and chaos in planar hybrid systems	24
Difference methods for time discretization of spectral fractional stochastic wave equation	24
KAM quasi-periodic solutions for the dissipative standard map	24
Analysis of a stochastic predator–prey model with weak Allee effect and Holling-(n+1) functional response	24
Nash Q-learning agents in Hotelling’s model: Reestablishing equilibrium	24
Analysis of a semi-implicit and structure-preserving finite element method for the incompressible MHD equations with magnetic-current formulation	24
Self-organization of nested patterns in a coupled spatiotemporal phytoplankton-zooplankton system	24
On the generalized logistic random differential equation: Theoretical analysis and numerical simulations with real-world data	24
Interaction of one-dimensional quantum droplets with potential wells and barriers	23
Stability for nonlinear wave motions damped by time-dependent frictions	23
Bifurcation analysis of an ecological model with nonlinear state–dependent feedback control by Poincaré map defined in phase set	23
A study of a nonlinear vibration isolator supported on an imperfect boundary plate	23
Nonlinear anomalous information diffusion model in social networks	23
Fractional partial differential variational inequality	23
Conditional physics informed neural networks	23
Coexistence of triple, quadruple attractors and Wada basin boundaries in a predator–prey model with additional food for predators	22
Synchronization in memristive HR neurons with hidden coexisting firing and lower energy under electrical and magnetic coupling	22
Event-triggered iterative learning containment control for one-sided Lipschitz nonlinear singular switched multi-agent systems with multiple leaders and error quantization	22
Application of ESN prediction model based on compressed sensing in stock market	22
Finite-time boundary stabilization for Korteweg–de Vries–Burgers equations	22
A study on torsional vibration attenuation of closed-loop crankshaft using nonlinear energy sink under abnormal engine operating condition	22
Editorial Board	21
Evolutionary dynamics of structured populations with density-dependent limitation of juvenile survival	21
Numerical analysis of age-structured HIV model with general transmission mechanism	21
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	21
Relative controllability of nonlinear switched fractional delayed systems	21
Fixed-time output synchronization of multi-layer complex networks under dynamic event-triggering control	21
The high-order exponential semi-implicit scalar auxiliary variable approach for the general nonlocal Cahn-Hilliard equation	21
Lattice-based model for pricing contingent claims under mixed fractional Brownian motion	21
Nonlinear dynamical and harvesting characteristics of bistable energy harvester under hybrid base vibration and galloping	21
Singularities and heteroclinic connections in complex-valued evolutionary equations with a quadratic nonlinearity	21
Dynamics of a harmonically excited nonlinear pipe conveying fluid equipped with a local nonlinear energy sink	21
Stability of non-instantaneous impulsive systems in Hilbert spaces	20
Kernel functions embed into the autoencoder to identify the sparse models of nonlinear dynamics	20
Research on the hybrid chaos-coud salp swarm algorithm	20
Stochastic 0-dimensional Biogeochemical Flux Model: Effect of temperature fluctuations on the dynamics of the biogeochemical properties in a marine ecosystem	20
Further stabilization criteria of continuous systems with aperiodic time-triggered intermittent control	20
Modified hat functions for constrained fractional optimal control problems with ψ	20
Spatial dispersal in chemostat systems with agent-based asymmetry	20
Distributed “End-Edge-Cloud” structural car-following control system for intelligent connected vehicle using sliding mode strategy	20
Adaptive optimized consensus control for a class of nonlinear multi-agent systems with asymmetric input saturation constraints and hybrid faults	20
Security-based control design for synchronization of switched reaction diffusion neural networks with hybrid attacks	20
A robust common-weights WENO scheme based on the flux vector splitting for Euler equations	20
Mikusiński’s operational calculus for multi-dimensional fractional operators with applications to fractional PDEs	20
Electromagnetic field in a conducting medium modeled by the fractional Ohm’s law	20
The analysis of geometrically nonlinear behavior of SMAs using RKPM	20
Comparative dynamics analysis of the environmental policy efficacy in a nonlinear Cournot duopoly with differentiated goods and emission charges	20
Adaptive finite-time pinned and regulation synchronization of disturbed complex networks	20
Stochastic conformal symplectic exponential Runge–Kutta-Nyström integrators for solving damped second-order SDEs with applications in damped stochastic nonlinear wave equations	20
Extremal parameter for double phase problem with concave–convex nonlinearity	20
Dynamical transition and bifurcation of a diffusive predator–prey model with an Allee effect on prey	20
Characterization of chimeras in coupled phase oscillators based on a coherence function	20
Delocalized nonlinear vibrational modes in fcc metals	20
Heterogeneous consensus controller design for multi-agent saturated-input systems under switching topologies with partly unknown transition rates	20
Turing–Turing bifurcation in an activator–inhibitor system with gene expression time delay	20
Magnetic confinement of a neutral atom in a double-wire waveguide: A nonlinear dynamics approach	19
A fast time-stepping method based on the hp	19
KAM quasi-periodic tori for the dissipative spin–orbit problem	19

Performance assessment of energy-preserving, adaptive time-step variational integrators	19
On the numerical solution of the iterative parabolic equations by ETDRK pseudospectral methods in linear and nonlinear media	19
Revealing bifurcation mechanisms in a 2D nonsmooth map by means of the first return map	19
Modulational instability and sister chirped femtosecond modulated waves in a nonlinear Schrödinger equation with self-steepening and self-frequency shift	19
The dynamic analysis of the rumor spreading and behavior diffusion model with higher-order interactions	19
Characterization of global centers by the monodromy at infinity	19
Corrigendum to ‘Application of 3D curvature and torsion in evaluating aortic tortuosity’. [Commun. Nonlinear. Sci., 2020: 105619]	19
A new class of history-dependent quasi variational–hemivariational inequalities with constraints	19
Computing two actuarial quantities under multilayer dividend strategy with a constant interest rate: Based on Sinc methods	19
Visualizing the phase space of the HeI2 van der Waals complex usin	19
Computer assisted proof of drift orbits along normally hyperbolic manifolds II: Application to the restricted three body problem	19
Asynchronous event-triggered H	19
On the periodic orbits of the continuous–discontinuous piecewise differential systems with three pieces separated by two parallel straight lines	18
Asset price-GDP cross feedback. The role of dividend policies in a dynamic setting	18
Topological energy of the distance matrix	18
Regularity criteria for the 3D axisymmetric non-resistive MHD system	18
Editorial Board	18
Projected solutions for generalized quasivariational inequalities without compact constraint multimap	18
An efficient energy-stable pseudospectral method for simulating vortex dynamics of the Ginzburg–Landau–Schrödinger equation	18
Approximate symmetry of time-fractional partial differential equations with a small parameter	18
Planar quartic–quadratic fold–fold singularity of Filippov systems and its bifurcation	18
Normalized fractional gradient flow for nonlinear Schrödinger/Gross–Pitaevskii equations	18
Editorial Board	18
Editorial Board	18
On the spatial spread of active control in a van der Pol ring via synchronisation and its stabilisation using parameter mismatch	18
Radius evolution for bubbles with elastic shells	18
Editorial Board	17
Nonlinear dynamics of continuous steady-state tunable mechanical metamaterials based on planetary gears	17
Observability and observer design for a class of hyperbolic PDEs with van de Pol type boundary conditions	17
High-order moment interval stability/stabilization and observability of stochastic impulsive T–S fuzzy systems	17
Space fractional Allen–Cahn equation and its applications in phase separation: A numerical study	17
Complex dynamics of a non-smooth temperature-sensitive memristive Wilson neuron model	17
Eigenvalue problems and their perturbations for the weighted(p,	17
Responses, optimization and prediction of energy harvesters under galloping and base excitations	17
Phase computation for the finite-genus solutions to the focusing nonlinear Schrödinger equation using convolutional neural networks	17
Mapping recovery from sleep deprivation	17
Asymmetry of synchronisation tongue in persistent sodium plus potassium neuron model	17
On rapid vibration suppression by nonlinear energy sink during first half cycle of oscillation	17
An emotion-information spreading model in social media on multiplex networks	17
Stability for Markov switching stochastic delay systems binding event-triggered mechanism to activate multi-impulse jumps	17
A kinetic theory model for the energy-demand management in a microgrid–macrogrid network	17
Editorial Board	16
Direct and inverse problems for a 2D heat equation with a Dirichlet–Neumann–Wentzell boundary condition	16
Generalization of Noether Theorem and action principle for non-Lagrangian theories	16
Periodic traveling waves for a diffusive SIR epidemic model with general nonlinear incidence and external supplies	16
A second-order Strang splitting scheme for the generalized Allen–Cahn type phase-field crystal model with FCC ordering structure	16
Nonlinear dynamics and onset of chaos in a physical model of a damper pressure relief valve	16
Perturbation-based approximate analytic solutions to an articulated SLIP model for legged robots	16
Convolution quadrature for Hadamard fractional calculus and correction methods for the subdiffusion with singular source terms	16
Periodic solutions of a tapping mode cantilever in an Atomic Force Microscope with harmonic excitation	16
Local generalizations of the derivatives on the real line	16
Nonlinear modal interactions of a linear oscillator coupled to a cubic nonlinear oscillator in the gravitational field	16
Numerical energy dissipation for time fractional volume-conserved Allen–Cahn model based on the ESAV and R-ESAV approaches	16
Partially known transition rates-based resilient H	16
Elliptic tori in FPU non-linear chains with a small number of nodes	16
On a multivalued prescribed mean curvature problem and inclusions defined on dual spaces	16
Editorial Board	16
Mechanisms for transient localization in a diatomic nonlinear chain	16
Approximate analytical solution for transient heat and mass transfer across an irregular interface	16
Multi-physical cooperative control of plug-in hybrid electric vehicles via cyber hierarchy and interactional network	16
On the permutation entropy Bayesian estimation	16
Oscillatory sliding in the presence of asymmetric friction	16
Stability analysis for neutral stochastic time-varying systems with delayed impulses	16
A numerical study of the scattering in the He-Cu model with a Morse potential: Parabolic manifolds and exponentially small phenomena	15
Dynamics of an age-structured SIS epidemic model with local dispersal and general incidence functions	15
Investigation of magneto-electro-thermo-mechanical loads on nonlinear forced vibrations of composite cylindrical shells	15
Complete classification on center of cubic planar systems symmetric with respect to a straight line	15
Self-similar solutions to the compressible Euler equations and their instabilities	15
A consistent projection finite element method for the non-stationary incompressible thermally coupled MHD equations	15
Adaptive practical prescribed-time formation tracking of networked nonlinear multiagent systems with quantized inter-agent communication	15
Spatial and temporal dynamics of thermal motion of a chain of liquid lead nanoinclusions attached to a fixed dislocation segment in an aluminum matrix	15
Invariant subspace method for (m15
On a Schrödinger equation involving fractional (N	15
Small amplitude quasi-periodic solutions for the forced radial vibrations of cylindrical shells with incompressible materials	15
Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport	15
Discrete multi-soliton solutions and dynamics for a reverse-time nonlocal nonlinear self-dual network equation	15
Plenty of novel interaction structures of soliton molecules and asymmetric solitons to (2 + 1)–dimensional Sawada–Kotera equation	15
Inertial Halpern-type methods for variational inequality with application to medical image recovery	15
An Improved Normal Compliance method for dynamic hyperelastic problems with energy conservation property	15
Nonlinear dynamic characteristics analysis of herringbone gear transmission system with tooth root crack	15
Entire solutions originating from semi-trivial pulsating fronts of reaction–advection–diffusion competition systems in periodic media	15
Editorial Board	15
Robust globally divergence-free weak Galerkin methods for unsteady incompressible convective Brinkman–Forchheimer equations	15
A deep learning approach for solving the stationary compositional two-phase equilibrium problems	15
A linearized L2-1σ	15
Sliding-mode surface-based approximate optimal control for nonlinear multiplayer Stackelberg-Nash games via adaptive dynamic programming	15
Evolution of rotational motions of a nearly dynamically spherical rigid body with a moving mass	15
Diffusion transitions in a 2D periodic lattice	15
A study of non-equilibrium wave groups in two-phase flow in high-contrast porous media with relative permeability hysteresis	15
Similarity solutions of fractional parabolic boundary value problems with uncertainty	15
Design of H∞	14
Stability analysis of fixed point of fractional-order coupled map lattices	14
A class of delay differential variational inequalities with boundary conditions	14
An accelerated subgradient extragradient algorithm for solving bilevel variational inequality problems involving non-Lipschitz operator	14
A numerical method for two-phase flow with its application to the Kelvin–Helmholtz instability problem	14