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	130
Nonlinear dynamics of the spacial vibration system considering the interactions between the frame and materials	108
Coverings and nonlocal symmetries as well as fundamental solutions of nonlinear equations derived from the nonisospectral AKNS hierarchy	108
Stabilization and destabilization of fractional oscillators via a delayed feedback control	100
An efficient numerical method for the anisotropic phase field dendritic crystal growth model	89
A generalized penalty method for a new class of differential inequality system	87
A coevolution model of defensive medicine, litigation and medical malpractice insurance	86
Extended state observer-based control of heartbeat described by heterogeneous coupled oscillator model	78
Persistence of return distribution sequence in financial markets	78
Identification of discontinuous parameters in contaminant convection–reaction–diffusion model of recovered fracturing fluid	76
Quasi-static filling of a disordered nanoporous medium with a non-wetting liquid as a process of self-organized criticality	74
Editorial Board	74
A novel computational approach to reconstructing evolutionary fitness in self-replicating systems	68
Coupled crash mechanics and biomechanics of aircraft structures and passengers	61
Dynamics and profiles of a degenerated reaction–diffusion host-pathogen model with apparent and inapparent infection period	57
Finite element approximation of a Keller–Segel model with additional self- and cross-diffusion terms and a logistic source	54
Exponentially fitted methods that preserve conservation laws	54
On triple-adaptive projection method for bilevel split variational inequalities with CFPP constraint of finite Bregman relatively demicontractions in Banach spaces	54
Tunable subdiffusion in the Caputo fractional standard map	53
SIR dynamics with infection age in complex heterogeneous networks	53
Stationary response determination of MDOF fractional nonlinear systems subjected to combined colored noise and periodic excitation	52
Stability and error analysis of the SAV schemes for the inductionless MHD equations	51
Containment control of PDE-type T–S fuzzy multi-agent systems via event-triggered scheme	50
Fractional derivative resolution of the anomalous magnetic field diffusion through a ferromagnetic steel rod: Application to eddy current testing	49
Model and numerical method for soliton propagation through thermal medium based on nonlinear Schrödinger and heat transfer equations	46

Regularity and strong convergence of numerical approximations for stochastic wave equations with multiplicative fractional Brownian motions	46
Dynamical inquest of refuge and bubbling issues in an interacting species system	44
Adaptive numerical solutions of time-fractional advection–diffusion–reaction equations	44
Periodic propagation of complex-valued hyperbolic-cosine-Gaussian solitons and breathers with complicated light field structure in strongly nonlocal nonlinear media	42
A new efficient algorithm based on feedforward neural network for solving differential equations of fractional order	42
Observer normal form design for the nonlinear MIMO systems using coupled auxiliary dynamics	41
Healthy versus congestive heart failure patients—An approach via the Hurst parameter	41
Accelerating the convergence of Newton’s method for nonlinear elliptic PDEs using Fourier neural operators	40
Alternating direction implicit approach for the two-dimensional time fractional nonlinear Klein–Gordon and Sine–Gordon problems	40
New results on the existence and uniqueness of positive almost periodic solution for the generalized Mackey–Glass hematopoietic model	39
Mode-matching technique for analyzing scattering in elastic shell chambers: Applications in trifurcated waveguide systems	39
Nonintrusive model order reduction for cross-diffusion systems	39
Dynamic analysis and performance evaluation of inerter fractional nonlinear quasi-zero stiffness isolator on a multi-span bridge under moving load	39
Structural and qualitative properties of a geometrically integrable equation	38
Understanding fast adsorption in single-solute breakthrough curves	38
On critical double phase Choquard problems with singular nonlinearity	38
A new kind of double phase elliptic inclusions with logarithmic perturbation terms I: Existence and extremality results	37
The construction of an optimal fourth-order fractional-compact-type numerical differential formula of the Riesz derivative and its application	37
A discussion on nonlocality: From fractional derivative model to peridynamic model	36
Linear energy-stable method with correction technique for the Ohta–Kawasaki–Navier–Stokes model of incompressible diblock copolymer melt	36
Numerical study of the ternary Cahn–Hilliard fluids by using an efficient modified scalar auxiliary variable approach	35
Input-to-state stability of stochastic differential systems with hybrid delay-dependent impulses	35
A representation-theoretical approach to higher-dimensional Lie–Hamilton systems: The symplectic Lie algebra	35
Mathematical modeling to investigate the influence of vaccination and booster doses on the spread of Omicron	34
Extremization to fine tune physics informed neural networks for solving boundary value problems	34
Extreme intermodal energy transfers through vibro-impacts for highly effective and rapid blast mitigation	33
Periodic measures for the stochastic delay modified Swift–Hohenberg lattice systems	33
Recent advances in a rigorous computation of Poincaré maps	33
The impact of different strategy update mechanisms on information dissemination under hyper network vision	32
Comparison of pandemic intervention policies in several building types using heterogeneous population model	32
Topological features of multivariate distributions: Dependency on the covariance matrix	32
A numerical study of N-periodic wave solutions to four integrable eq	32
Adaptive fuzzy asymptotic predefined-time tracking control of uncertain nonlinear systems based on event-trigger	31
Nonlinear flexure mechanics of mixture unified gradient nanobeams	31
Analysis of a stochastic predator–prey model with weak Allee effect and Holling-(n+1) functional response	30
Softening/hardening dynamics of beam resting on generalized nonlinear foundation with a linear stiffening effect	30
Mathematical study of a new coupled electro-thermo radiofrequency model of cardiac tissue	30
Two-grid FEM for fractional diffusion problems with limited regularity	30
Dynamics of a delayed discrete size-structured chemostat with periodic nutrient supply	30
Leader-following output consensus for strict-feedback nonlinear multiagent systems with edge-based event-triggered communications	29
Existence and nonexistence of traveling waves of coupled Burgers’ equations	29
Unconditional superconvergence analysis of low-order conforming mixed finite element method for time-dependent incompressible MHD equations	29
Command-filter based predefined-time neural adaptive decentralized control for interconnected systems with dynamic uncertainties	29
Dominant causal factors of failure performance of cross-jointed segmental lining	28
Nonlinear anomalous information diffusion model in social networks	27
Modeling large deformations of thin-walled SMA structures by shell finite elements	27
Stabilized finite element approximation of the Swift–Hohenberg model on evolving surfaces	27
Rogue waves dynamics of cubic–quintic nonlinear Schrödinger equation with an external linear potential through a modified Noguchi electrical transmission network	27
Competitive exclusion and coexistence in an intraguild predation model with Beddington–DeAngelis functional response	27
Complex-order fractional diffusion in reaction-diffusion systems	27

Difference methods for time discretization of spectral fractional stochastic wave equation	27
Analysis of a semi-implicit and structure-preserving finite element method for the incompressible MHD equations with magnetic-current formulation	27
Fractional partial differential variational inequality	27
Event-triggered set stabilization of impulsive logical control networks based on the hybrid index model approach	27
Dynamics of a harmonically excited nonlinear pipe conveying fluid equipped with a local nonlinear energy sink	26
Nonlinear vibration of flexible two links manipulator with variable cross sections	26
Finite-time boundary stabilization for Korteweg–de Vries–Burgers equations	26
Synchronization in memristive HR neurons with hidden coexisting firing and lower energy under electrical and magnetic coupling	26
A stochastic analysis of a SIQR epidemic model with short and long-term prophylaxis	26
Self-organization of nested patterns in a coupled spatiotemporal phytoplankton-zooplankton system	26
Event-triggered iterative learning containment control for one-sided Lipschitz nonlinear singular switched multi-agent systems with multiple leaders and error quantization	26
Automatic Proper Orthogonal Block Decomposition method for network dynamical systems with multiple timescales	26
Numerical simulation and new controller design of steerable nano-mirror in ionic liquid electrolytes	25
Long-time behaviors of wave equations stabilized by boundary memory damping and friction damping	25
Effects of a moving barrier on the first-passage time of a diffusing particle under stochastic resetting	25
KAM quasi-periodic solutions for the dissipative standard map	25
Robust equilibrium strategies for time-inconsistent stochastic optimal control problems with applications	25
Modelling of HIV viral load and 2-LTR dynamics during high active antiretroviral therapy in a heterogeneous environment	25
Time-periodic traveling waves for a periodic Lotka–Volterra competition system with nonlocal dispersal	25
Breather, lump and N-soliton wave solutions of the (2+1)-dimensional coupled nonlinear partial differential equation with variable coefficients	24
Optimizing target control in complex networks using edge-addition cost	24
Coexistence of triple, quadruple attractors and Wada basin boundaries in a predator–prey model with additional food for predators	24
Non-asymptotic and robust estimation for a class of nonlinear fractional-order systems	24
Stabilization of impulsive hybrid stochastic differential equations with Lévy noise by feedback control based on discrete-time state observations	24
Dynamical behavior and numerical simulation of a stochastic eco-epidemiological model with Ornstein–Uhlenbeck process	24
Reducing vibration isolation frequency in an X-shaped two-stage nonlinear system	23
Simultaneous control of rigidity and hand tremor by adaptive fuzzy Q-learning	23
A new multi-component integrable coupling and its application to isospectral and nonisospectral problems	23
Application of ESN prediction model based on compressed sensing in stock market	23
On a matrix KdV6 equation	23
Global exponential stability and stabilization of stochastic memristive neural networks with spatial diffusions and hybrid delays	23
On the generalized logistic random differential equation: Theoretical analysis and numerical simulations with real-world data	23
Conditional physics informed neural networks	23
Dual-triggered scheme for adaptive neural control of MIMO nonlinear switched systems against sensor and actuator attacks	23
Interaction of one-dimensional quantum droplets with potential wells and barriers	23
Lattice-based model for pricing contingent claims under mixed fractional Brownian motion	23
Two fast finite difference methods for a class of variable-coefficient fractional diffusion equations with time delay	23
Stability for nonlinear wave motions damped by time-dependent frictions	23
Further results on distributed finite-time synchronization for fractional-order coupled neural networks	22
An energy-preserving finite difference scheme with fourth-order accuracy for the generalized Camassa–Holm equation	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
The high-order exponential semi-implicit scalar auxiliary variable approach for the general nonlocal Cahn-Hilliard equation	22
Research on the hybrid chaos-coud salp swarm algorithm	22
Bifurcation analysis of an ecological model with nonlinear state–dependent feedback control by Poincaré map defined in phase set	22
A study of a nonlinear vibration isolator supported on an imperfect boundary plate	22
Distribution of suspended sediment in open channel turbulent flow through Space-Time Fractional ADE	22
Three- and four-wave resonances in the nonlinear quadratic Kelvin lattice	22
Time-fractional porous medium equation: Erdélyi–Kober integral equations, compactly supported solutions, and numerical methods	22
Limit cycles and chaos in planar hybrid systems	22
A study on torsional vibration attenuation of closed-loop crankshaft using nonlinear energy sink under abnormal engine operating condition	22
Editorial Board	22
Stability of non-instantaneous impulsive systems in Hilbert spaces	21
The analysis of geometrically nonlinear behavior of SMAs using RKPM	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
On the periodic orbits of the continuous–discontinuous piecewise differential systems with three pieces separated by two parallel straight lines	21
A new class of history-dependent quasi variational–hemivariational inequalities with constraints	21
Corrigendum to ‘Application of 3D curvature and torsion in evaluating aortic tortuosity’. [Commun. Nonlinear. Sci., 2020: 105619]	21
Nonlinear dynamics of continuous steady-state tunable mechanical metamaterials based on planetary gears	21
Characterization of chimeras in coupled phase oscillators based on a coherence function	21
Radius evolution for bubbles with elastic shells	21
Comparative dynamics analysis of the environmental policy efficacy in a nonlinear Cournot duopoly with differentiated goods and emission charges	21
Spatial dispersal in chemostat systems with agent-based asymmetry	21
Performance assessment of energy-preserving, adaptive time-step variational integrators	21
Asymmetry of synchronisation tongue in persistent sodium plus potassium neuron model	21
Editorial Board	21
Topological energy of the distance matrix	21
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
Asset price-GDP cross feedback. The role of dividend policies in a dynamic setting	20
Modified hat functions for constrained fractional optimal control problems with ψ	20
Dynamical transition and bifurcation of a diffusive predator–prey model with an Allee effect on prey	20
Electromagnetic field in a conducting medium modeled by the fractional Ohm’s law	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
Eigenvalue problems and their perturbations for the weighted(p,	20
Stochastic conformal symplectic exponential Runge–Kutta–Nyström integrators for solving damped second-order SDEs with applications in damped stochastic nonlinear wave equations	20
Editorial Board	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
Editorial Board	20
Editorial Board	20
A fast time-stepping method based on the hp	20
KAM quasi-periodic tori for the dissipative spin–orbit problem	20
Computer assisted proof of drift orbits along normally hyperbolic manifolds II: Application to the restricted three body problem	19
Adaptive finite-time pinned and regulation synchronization of disturbed complex networks	19
On convergence analysis of feedback control with integral action and discontinuous relay perturbation	19
Singularities and heteroclinic connections in complex-valued evolutionary equations with a quadratic nonlinearity	19
Mikusiński’s operational calculus for multi-dimensional fractional operators with applications to fractional PDEs	19
Kernel functions embed into the autoencoder to identify the sparse models of nonlinear dynamics	19
Relative controllability of nonlinear switched fractional delayed systems	19
Numerical analysis of age-structured HIV model with general transmission mechanism	19
Projected solutions for generalized quasivariational inequalities without compact constraint multimap	19
Delocalized nonlinear vibrational modes in fcc metals	19
Visualizing the phase space of the HeI2 van der Waals complex usin	19
On the spatial spread of active control in a van der Pol ring via synchronisation and its stabilisation using parameter mismatch	19
Security-based control design for synchronization of switched reaction diffusion neural networks with hybrid attacks	18
Asynchronous event-triggered H	18
On rapid vibration suppression by nonlinear energy sink during first half cycle of oscillation	18
Characterization of global centers by the monodromy at infinity	18
A robust common-weights WENO scheme based on the flux vector splitting for Euler equations	18
Modulational instability and sister chirped femtosecond modulated waves in a nonlinear Schrödinger equation with self-steepening and self-frequency shift	18
Consistency-enhanced E-SAV BDF2 time-marching method with relaxation for the hydrodynamically-coupled binary phase-field crystal model	18
Further stabilization criteria of continuous systems with aperiodic time-triggered intermittent control	18
Forecasting crude oil option prices with dynamic factors using integrated machine learning models	18
Responses, optimization and prediction of energy harvesters under galloping and base excitations	18
Turing–Turing bifurcation in an activator–inhibitor system with gene expression time delay	18
Evolutionary dynamics of structured populations with density-dependent limitation of juvenile survival	18
Fixed-time output synchronization of multi-layer complex networks under dynamic event-triggering control	18
Complex dynamics of a non-smooth temperature-sensitive memristive Wilson neuron model	18
Adaptive optimized consensus control for a class of nonlinear multi-agent systems with asymmetric input saturation constraints and hybrid faults	18
Stochastic 0-dimensional Biogeochemical Flux Model: Effect of temperature fluctuations on the dynamics of the biogeochemical properties in a marine ecosystem	18
The dynamic analysis of the rumor spreading and behavior diffusion model with higher-order interactions	18
Normalized fractional gradient flow for nonlinear Schrödinger/Gross–Pitaevskii equations	18
Distributed “End-Edge-Cloud” structural car-following control system for intelligent connected vehicle using sliding mode strategy	18
Heterogeneous consensus controller design for multi-agent saturated-input systems under switching topologies with partly unknown transition rates	18
Extremal parameter for double phase problem with concave–convex nonlinearity	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
Approximate analytical solution for transient heat and mass transfer across an irregular interface	17
Oscillatory sliding in the presence of asymmetric friction	17
Similarity solutions of fractional parabolic boundary value problems with uncertainty	17
On a multivalued prescribed mean curvature problem and inclusions defined on dual spaces	17
A numerical study of the scattering in the He-Cu model with a Morse potential: Parabolic manifolds and exponentially small phenomena	17
Phase computation for the finite-genus solutions to the focusing nonlinear Schrödinger equation using convolutional neural networks	17
A second-order Strang splitting scheme for the generalized Allen–Cahn type phase-field crystal model with FCC ordering structure	17
Perturbation-based approximate analytic solutions to an articulated SLIP model for legged robots	17
Editorial Board	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
A kinetic theory model for the energy-demand management in a microgrid–macrogrid network	17
Numerical energy dissipation for time fractional volume-conserved Allen–Cahn model based on the ESAV and R-ESAV approaches	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
Mechanisms for transient localization in a diatomic nonlinear chain	17
On a Schrödinger equation involving fractional (N	16
A class of delay differential variational inequalities with boundary conditions	16
Self-similar solutions to the compressible Euler equations and their instabilities	16
Command filter approximator-based fixed-time fuzzy control for uncertain nonlinear systems with input saturation	16
Invariant subspace method for (m16
Generalization of Noether Theorem and action principle for non-Lagrangian theories	16
Observability and observer design for a class of hyperbolic PDEs with van de Pol type boundary conditions	16
An Improved Normal Compliance method for dynamic hyperelastic problems with energy conservation property	16
Nonlinear modal interactions of a linear oscillator coupled to a cubic nonlinear oscillator in the gravitational field	16
Non-weighted H∞	16
Robust set stabilization of Boolean control networks with edge removal perturbations	16
First Passage and First Exit Times for diffusion processes related to a general growth curve	16
Conservation laws of mean field games equations	16
Stability analysis for neutral stochastic time-varying systems with delayed impulses	16
High-order moment interval stability/stabilization and observability of stochastic impulsive T–S fuzzy systems	16
Stability for Markov switching stochastic delay systems binding event-triggered mechanism to activate multi-impulse jumps	16
Spatial and temporal dynamics of thermal motion of a chain of liquid lead nanoinclusions attached to a fixed dislocation segment in an aluminum matrix	16
A consistent projection finite element method for the non-stationary incompressible thermally coupled MHD equations	16
L2	16
A re-scaling spectral collocation method for the nonlinear fractional pantograph delay differential equations with non-smooth solutions	16
Nonlinear dynamics and onset of chaos in a physical model of a damper pressure relief valve	16
A stochastic averaging mathematical framework for design and optimization of nonlinear energy harvesters with several electrical DOFs	16
Small amplitude quasi-periodic solutions for the forced radial vibrations of cylindrical shells with incompressible materials	16
Robust globally divergence-free weak Galerkin methods for unsteady incompressible convective Brinkman–Forchheimer equations	16
Exponential input-to-state stability of delay Korteweg–de Vries–Burgers equations	16
Strong convergence rates for the approximation of a stochastic time-fractional Allen–Cahn equation	15
Partially known transition rates-based resilient H	15
Space fractional Allen–Cahn equation and its applications in phase separation: A numerical study	15
Diffusion transitions in a 2D periodic lattice	15
Evolution of rotational motions of a nearly dynamically spherical rigid body with a moving mass	15
An adaptive algorithm for numerically solving fractional partial differential equations using Hermite wavelet artificial neural networks	15
Investigation of magneto-electro-thermo-mechanical loads on nonlinear forced vibrations of composite cylindrical shells	15
Numerical modeling of stress state-dependent anisotropic fracture behavior for WE43 alloy	15
Plenty of novel interaction structures of soliton molecules and asymmetric solitons to (2 + 1)–dimensional Sawada–Kotera equation	15
Discrete multi-soliton solutions and dynamics for a reverse-time nonlocal nonlinear self-dual network equation	15
On the selected problems of time-dependent dynamics of composite truncated conical shells-like aerospace structures	15
Adaptive practical prescribed-time formation tracking of networked nonlinear multiagent systems with quantized inter-agent communication	15
Design and experimental study of a two-stage nonlinear vibration isolators with quasi-zero stiffness	15