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	122
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	104
Stabilization and destabilization of fractional oscillators via a delayed feedback control	86
Topological features of multivariate distributions: Dependency on the covariance matrix	85
Exponentially fitted methods that preserve conservation laws	80
An efficient numerical method for the anisotropic phase field dendritic crystal growth model	80
A generalized penalty method for a new class of differential inequality system	75
A coevolution model of defensive medicine, litigation and medical malpractice insurance	75
Persistence of return distribution sequence in financial markets	74
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
Extended state observer-based control of heartbeat described by heterogeneous coupled oscillator model	64
Identification of discontinuous parameters in contaminant convection–reaction–diffusion model of recovered fracturing fluid	58
Tunable subdiffusion in the Caputo fractional standard map	57
Editorial Board	55
Quasi-static filling of a disordered nanoporous medium with a non-wetting liquid as a process of self-organized criticality	55
A discussion on nonlocality: From fractional derivative model to peridynamic model	52
Coupled crash mechanics and biomechanics of aircraft structures and passengers	52
A novel computational approach to reconstructing evolutionary fitness in self-replicating systems	52
A new kind of double phase elliptic inclusions with logarithmic perturbation terms I: Existence and extremality results	49
SIR dynamics with infection age in complex heterogeneous networks	49
Stationary response determination of MDOF fractional nonlinear systems subjected to combined colored noise and periodic excitation	48
The construction of an optimal fourth-order fractional-compact-type numerical differential formula of the Riesz derivative and its application	47
Stability and error analysis of the SAV schemes for the inductionless MHD equations	47

Periodic propagation of complex-valued hyperbolic-cosine-Gaussian solitons and breathers with complicated light field structure in strongly nonlocal nonlinear media	46
Fractional derivative resolution of the anomalous magnetic field diffusion through a ferromagnetic steel rod: Application to eddy current testing	46
Regularity and strong convergence of numerical approximations for stochastic wave equations with multiplicative fractional Brownian motions	45
Dynamical inquest of refuge and bubbling issues in an interacting species system	43
A representation-theoretical approach to higher-dimensional Lie–Hamilton systems: The symplectic Lie algebra	43
A numerical study of N-periodic wave solutions to four integrable eq	43
Particle-based numerical modeling of a thin granular layer subjected to oscillating flow	42
Model and numerical method for soliton propagation through thermal medium based on nonlinear Schrödinger and heat transfer equations	42
Extreme intermodal energy transfers through vibro-impacts for highly effective and rapid blast mitigation	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
Input-to-state stability of stochastic differential systems with hybrid delay-dependent impulses	40
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
Extremization to fine tune physics informed neural networks for solving boundary value problems	39
Nonintrusive model order reduction for cross-diffusion systems	39
Nonlinear flexure mechanics of mixture unified gradient nanobeams	38
The impact of different strategy update mechanisms on information dissemination under hyper network vision	38
Recent advances in a rigorous computation of Poincaré maps	38
Periodic measures for the stochastic delay modified Swift–Hohenberg lattice systems	37
New results on the existence and uniqueness of positive almost periodic solution for the generalized Mackey–Glass hematopoietic model	37
Numerical study of the ternary Cahn–Hilliard fluids by using an efficient modified scalar auxiliary variable approach	37
On triple-adaptive projection method for bilevel split variational inequalities with CFPP constraint of finite Bregman relatively demicontractions in Banach spaces	36
Linear energy-stable method with correction technique for the Ohta–Kawasaki–Navier–Stokes model of incompressible diblock copolymer melt	36
Mathematical modeling to investigate the influence of vaccination and booster doses on the spread of Omicron	36
A new set and new relations of multiple soliton solutions of (2 + 1)-dimensional Sawada–Kotera equation	35
Conservative local discontinuous Galerkin methods for a generalized system of strongly coupled nonlinear Schrödinger equations.	35
Dynamic analysis and performance evaluation of inerter fractional nonlinear quasi-zero stiffness isolator on a multi-span bridge under moving load	34
A new efficient algorithm based on feedforward neural network for solving differential equations of fractional order	34
Adaptive numerical solutions of time-fractional advection–diffusion–reaction equations	33
Comparison of pandemic intervention policies in several building types using heterogeneous population model	33
Adaptive fuzzy asymptotic predefined-time tracking control of uncertain nonlinear systems based on event-trigger	32
Structural and qualitative properties of a geometrically integrable equation	32
Finite element approximation of a Keller–Segel model with additional self- and cross-diffusion terms and a logistic source	32
Mode-matching technique for analyzing scattering in elastic shell chambers: Applications in trifurcated waveguide systems	32
On critical double phase Choquard problems with singular nonlinearity	32
Mathematical study of a new coupled electro-thermo radiofrequency model of cardiac tissue	31
Understanding fast adsorption in single-solute breakthrough curves	31
Three- and four-wave resonances in the nonlinear quadratic Kelvin lattice	31
Competitive exclusion and coexistence in an intraguild predation model with Beddington–DeAngelis functional response	30
Unconditional superconvergence analysis of low-order conforming mixed finite element method for time-dependent incompressible MHD equations	30
Existence and nonexistence of traveling waves of coupled Burgers’ equations	30
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
Command-filter based predefined-time neural adaptive decentralized control for interconnected systems with dynamic uncertainties	30
Dynamical behavior and numerical simulation of a stochastic eco-epidemiological model with Ornstein–Uhlenbeck process	30
Fractional partial differential variational inequality	30
Difference methods for time discretization of spectral fractional stochastic wave equation	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

Simultaneous control of rigidity and hand tremor by adaptive fuzzy Q-learning	29
Event-triggered set stabilization of impulsive logical control networks based on the hybrid index model approach	28
A hyper-block self-consistent approach to nonlinear Schrodinger equations: Breeding, metamorphosis, and killing of Hofstadter Butterflies	28
Complex-order fractional diffusion in reaction-diffusion systems	28
Effects of a moving barrier on the first-passage time of a diffusing particle under stochastic resetting	27
Two fast finite difference methods for a class of variable-coefficient fractional diffusion equations with time delay	27
Optimizing target control in complex networks using edge-addition cost	27
Long-time behaviors of wave equations stabilized by boundary memory damping and friction damping	27
Time-periodic traveling waves for a periodic Lotka–Volterra competition system with nonlocal dispersal	27
Modelling of HIV viral load and 2-LTR dynamics during high active antiretroviral therapy in a heterogeneous environment	26
Numerical simulation and new controller design of steerable nano-mirror in ionic liquid electrolytes	26
Stabilization of impulsive hybrid stochastic differential equations with Lévy noise by feedback control based on discrete-time state observations	26
Rogue waves dynamics of cubic–quintic nonlinear Schrödinger equation with an external linear potential through a modified Noguchi electrical transmission network	26
Robust equilibrium strategies for time-inconsistent stochastic optimal control problems with applications	26
A new multi-component integrable coupling and its application to isospectral and nonisospectral problems	26
Global exponential stability and stabilization of stochastic memristive neural networks with spatial diffusions and hybrid delays	26
Limit cycles and chaos in planar hybrid systems	25
KAM quasi-periodic solutions for the dissipative standard map	25
Self-organization of nested patterns in a coupled spatiotemporal phytoplankton-zooplankton system	25
Bifurcation analysis of an ecological model with nonlinear state–dependent feedback control by Poincaré map defined in phase set	25
Nash Q-learning agents in Hotelling’s model: Reestablishing equilibrium	25
On a matrix KdV6 equation	24
Dynamics of a harmonically excited nonlinear pipe conveying fluid equipped with a local nonlinear energy sink	24
Event-triggered iterative learning containment control for one-sided Lipschitz nonlinear singular switched multi-agent systems with multiple leaders and error quantization	24
Stability for nonlinear wave motions damped by time-dependent frictions	24
Finite-time boundary stabilization for Korteweg–de Vries–Burgers equations	24
A study of a nonlinear vibration isolator supported on an imperfect boundary plate	24
Synchronization in memristive HR neurons with hidden coexisting firing and lower energy under electrical and magnetic coupling	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
A stochastic analysis of a SIQR epidemic model with short and long-term prophylaxis	23
An energy-preserving finite difference scheme with fourth-order accuracy for the generalized Camassa–Holm equation	23
Interaction of one-dimensional quantum droplets with potential wells and barriers	23
Automatic Proper Orthogonal Block Decomposition method for network dynamical systems with multiple timescales	23
Breather, lump and N-soliton wave solutions of the (2+1)-dimensional coupled nonlinear partial differential equation with variable coefficients	23
Conditional physics informed neural networks	23
Analysis of a semi-implicit and structure-preserving finite element method for the incompressible MHD equations with magnetic-current formulation	23
Application of ESN prediction model based on compressed sensing in stock market	23
Reducing vibration isolation frequency in an X-shaped two-stage nonlinear system	23
Coexistence of triple, quadruple attractors and Wada basin boundaries in a predator–prey model with additional food for predators	23
Lattice-based model for pricing contingent claims under mixed fractional Brownian motion	23
A study on torsional vibration attenuation of closed-loop crankshaft using nonlinear energy sink under abnormal engine operating condition	23
Nonlinear anomalous information diffusion model in social networks	22
Time-fractional porous medium equation: Erdélyi–Kober integral equations, compactly supported solutions, and numerical methods	22
Nonlinear dynamical and harvesting characteristics of bistable energy harvester under hybrid base vibration and galloping	22
On the generalized logistic random differential equation: Theoretical analysis and numerical simulations with real-world data	22
Editorial Board	22
Numerical analysis of age-structured HIV model with general transmission mechanism	22
Non-asymptotic and robust estimation for a class of nonlinear fractional-order systems	22
Modeling large deformations of thin-walled SMA structures by shell finite elements	22
The high-order exponential semi-implicit scalar auxiliary variable approach for the general nonlocal Cahn-Hilliard equation	22
Singularities and heteroclinic connections in complex-valued evolutionary equations with a quadratic nonlinearity	21
Characterization of chimeras in coupled phase oscillators based on a coherence function	21
Editorial Board	21
Stochastic 0-dimensional Biogeochemical Flux Model: Effect of temperature fluctuations on the dynamics of the biogeochemical properties in a marine ecosystem	21
Asymmetry of synchronisation tongue in persistent sodium plus potassium neuron model	21
Research on the hybrid chaos-coud salp swarm algorithm	21
Adaptive optimized consensus control for a class of nonlinear multi-agent systems with asymmetric input saturation constraints and hybrid faults	21
Evolutionary dynamics of structured populations with density-dependent limitation of juvenile survival	21
Radius evolution for bubbles with elastic shells	21
On the periodic orbits of the continuous–discontinuous piecewise differential systems with three pieces separated by two parallel straight lines	21
Security-based control design for synchronization of switched reaction diffusion neural networks with hybrid attacks	21
Planar quartic–quadratic fold–fold singularity of Filippov systems and its bifurcation	21
Projected solutions for generalized quasivariational inequalities without compact constraint multimap	21
Topological energy of the distance matrix	21
Characterization of global centers by the monodromy at infinity	20
Corrigendum to ‘Application of 3D curvature and torsion in evaluating aortic tortuosity’. [Commun. Nonlinear. Sci., 2020: 105619]	20
An emotion-information spreading model in social media on multiplex networks	20
Delocalized nonlinear vibrational modes in fcc metals	20
Spatial dispersal in chemostat systems with agent-based asymmetry	20
Consistency-enhanced E-SAV BDF2 time-marching method with relaxation for the hydrodynamically-coupled binary phase-field crystal model	20
Computer assisted proof of drift orbits along normally hyperbolic manifolds II: Application to the restricted three body problem	20
On the numerical solution of the iterative parabolic equations by ETDRK pseudospectral methods in linear and nonlinear media	20
Further stabilization criteria of continuous systems with aperiodic time-triggered intermittent control	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
The dynamic analysis of the rumor spreading and behavior diffusion model with higher-order interactions	20
Performance assessment of energy-preserving, adaptive time-step variational integrators	20
On convergence analysis of feedback control with integral action and discontinuous relay perturbation	20
Parametric resonance and stochastic stability of a vibro-impact system under bounded noise excitation	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
Approximate symmetry of time-fractional partial differential equations with a small parameter	19
Normalized fractional gradient flow for nonlinear Schrödinger/Gross–Pitaevskii equations	19
An efficient energy-stable pseudospectral method for simulating vortex dynamics of the Ginzburg–Landau–Schrödinger equation	19
Revealing bifurcation mechanisms in a 2D nonsmooth map by means of the first return map	19
Regularity criteria for the 3D axisymmetric non-resistive MHD system	19
Editorial Board	19
Editorial Board	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
On the spatial spread of active control in a van der Pol ring via synchronisation and its stabilisation using parameter mismatch	19
Asset price-GDP cross feedback. The role of dividend policies in a dynamic setting	19
Editorial Board	19
Nonlinear dynamics of continuous steady-state tunable mechanical metamaterials based on planetary gears	18
Electromagnetic field in a conducting medium modeled by the fractional Ohm’s law	18
On rapid vibration suppression by nonlinear energy sink during first half cycle of oscillation	18
Modified hat functions for constrained fractional optimal control problems with ψ	18
Distributed “End-Edge-Cloud” structural car-following control system for intelligent connected vehicle using sliding mode strategy	18
Adaptive finite-time pinned and regulation synchronization of disturbed complex networks	18
Dynamical transition and bifurcation of a diffusive predator–prey model with an Allee effect on prey	18
Relative controllability of nonlinear switched fractional delayed systems	18
KAM quasi-periodic tori for the dissipative spin–orbit problem	18
Visualizing the phase space of the HeI2 van der Waals complex usin	18
Extremal parameter for double phase problem with concave–convex nonlinearity	18
Eigenvalue problems and their perturbations for the weighted(p,	18
Mikusiński’s operational calculus for multi-dimensional fractional operators with applications to fractional PDEs	18
A robust common-weights WENO scheme based on the flux vector splitting for Euler equations	18
Modulational instability and sister chirped femtosecond modulated waves in a nonlinear Schrödinger equation with self-steepening and self-frequency shift	18
Complex dynamics of a non-smooth temperature-sensitive memristive Wilson neuron model	18
Asynchronous event-triggered H	18
A fast time-stepping method based on the hp	18
Stability of non-instantaneous impulsive systems in Hilbert spaces	18
Fixed-time output synchronization of multi-layer complex networks under dynamic event-triggering control	18
A kinetic theory model for the energy-demand management in a microgrid–macrogrid network	17
A second-order Strang splitting scheme for the generalized Allen–Cahn type phase-field crystal model with FCC ordering structure	17
On a multivalued prescribed mean curvature problem and inclusions defined on dual spaces	17
Numerical energy dissipation for time fractional volume-conserved Allen–Cahn model based on the ESAV and R-ESAV approaches	17
Phase computation for the finite-genus solutions to the focusing nonlinear Schrödinger equation using convolutional neural networks	17
Kernel functions embed into the autoencoder to identify the sparse models of nonlinear dynamics	17
Dynamic response and chaos analysis of a spatial multi-body system with multiple clearance joints and a flexible component	17
Editorial Board	17
Periodic traveling waves for a diffusive SIR epidemic model with general nonlinear incidence and external supplies	17
Approximate analytical solution for transient heat and mass transfer across an irregular interface	17
Stability for Markov switching stochastic delay systems binding event-triggered mechanism to activate multi-impulse jumps	17
Space fractional Allen–Cahn equation and its applications in phase separation: A numerical study	17
Oscillatory sliding in the presence of asymmetric friction	17
Mechanisms for transient localization in a diatomic nonlinear chain	17
Perturbation-based approximate analytic solutions to an articulated SLIP model for legged robots	17
Responses, optimization and prediction of energy harvesters under galloping and base excitations	17
Editorial Board	16
Editorial Board	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 deep learning approach for solving the stationary compositional two-phase equilibrium problems	16
Certain electromagnetic waves in a ferromagnetic film	16
A numerical study of the scattering in the He-Cu model with a Morse potential: Parabolic manifolds and exponentially small phenomena	16
A study of non-equilibrium wave groups in two-phase flow in high-contrast porous media with relative permeability hysteresis	16
Similarity solutions of fractional parabolic boundary value problems with uncertainty	16
Nonlinear dynamic characteristics analysis of herringbone gear transmission system with tooth root crack	16
Evolution of rotational motions of a nearly dynamically spherical rigid body with a moving mass	16
Supercritical nonlinear transverse vibration of a hyperelastic beam under harmonic axial loading	16
Entire solutions originating from semi-trivial pulsating fronts of reaction–advection–diffusion competition systems in periodic media	16
Dynamics of an age-structured SIS epidemic model with local dispersal and general incidence functions	16
Plenty of novel interaction structures of soliton molecules and asymmetric solitons to (2 + 1)–dimensional Sawada–Kotera equation	16
Discrete multi-soliton solutions and dynamics for a reverse-time nonlocal nonlinear self-dual network equation	16
A re-scaling spectral collocation method for the nonlinear fractional pantograph delay differential equations with non-smooth solutions	16
On the selected problems of time-dependent dynamics of composite truncated conical shells-like aerospace structures	15
Periodic solutions of a tapping mode cantilever in an Atomic Force Microscope with harmonic excitation	15
Multi-physical cooperative control of plug-in hybrid electric vehicles via cyber hierarchy and interactional network	15
Self-similar solutions to the compressible Euler equations and their instabilities	15
Nonlinear dynamics and onset of chaos in a physical model of a damper pressure relief valve	15
High-order moment interval stability/stabilization and observability of stochastic impulsive T–S fuzzy systems	15
Non-weighted H∞	15
A class of delay differential variational inequalities with boundary conditions	15
A linearized L2-1σ	15
A novel discontinuous Galerkin projection scheme for the hydrodynamics of nematic liquid crystals	15
Direct and inverse problems for a 2D heat equation with a Dirichlet–Neumann–Wentzell boundary condition	15
Superconvergence analysis and extrapolation of a BDF2 fully discrete scheme for nonlinear reaction–diffusion equations	15
Diffusion transitions in a 2D periodic lattice	15
On the permutation entropy Bayesian estimation	15
Strong convergence rates for the approximation of a stochastic time-fractional Allen–Cahn equation	15
Robust globally divergence-free weak Galerkin methods for unsteady incompressible convective Brinkman–Forchheimer equations	15
Convolution quadrature for Hadamard fractional calculus and correction methods for the subdiffusion with singular source terms	15
A stochastic averaging mathematical framework for design and optimization of nonlinear energy harvesters with several electrical DOFs	15
Small amplitude quasi-periodic solutions for the forced radial vibrations of cylindrical shells with incompressible materials	15
Observability and observer design for a class of hyperbolic PDEs with van de Pol type boundary conditions	15
Stability analysis for neutral stochastic time-varying systems with delayed impulses	15
Inertial Halpern-type methods for variational inequality with application to medical image recovery	15
Elliptic tori in FPU non-linear chains with a small number of nodes	15
Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport	15
Adaptive practical prescribed-time formation tracking of networked nonlinear multiagent systems with quantized inter-agent communication	15
Partially known transition rates-based resilient H	15
L2	15
Robust set stabilization of Boolean control networks with edge removal perturbations	15
On a Schrödinger equation involving fractional (N	15