Communications in Nonlinear Science and Numerical Simulation

Papers
(The TQCC of Communications in Nonlinear Science and Numerical Simulation is 8. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-11-01 to 2025-11-01.)
ArticleCitations
A Brinkman–triple-porosity–permeability model and its discontinuous Galerkin methods132
Extremization to fine tune physics informed neural networks for solving boundary value problems111
Editorial Board105
Quasi-static filling of a disordered nanoporous medium with a non-wetting liquid as a process of self-organized criticality96
A novel computational approach to reconstructing evolutionary fitness in self-replicating systems94
Adaptive fuzzy asymptotic predefined-time tracking control of uncertain nonlinear systems based on event-trigger88
Persistence of return distribution sequence in financial markets80
Accelerating the convergence of Newton’s method for nonlinear elliptic PDEs using Fourier neural operators80
Nonlinear flexure mechanics of mixture unified gradient nanobeams79
Existence and asymptotic behavior of normalized solutions for the HLS lower critical fractional Choquard equation with a local perturbation78
An efficient numerical method for the anisotropic phase field dendritic crystal growth model76
Periodic measures for the stochastic delay modified Swift–Hohenberg lattice systems68
Stationary response determination of MDOF fractional nonlinear systems subjected to combined colored noise and periodic excitation62
The art of solving a large number of non-stiff, low-dimensional ordinary differential equation systems on GPUs and CPUs62
Topological features of multivariate distributions: Dependency on the covariance matrix56
Mathematical modeling to investigate the influence of vaccination and booster doses on the spread of Omicron55
A discussion on nonlocality: From fractional derivative model to peridynamic model55
Numerical study of the ternary Cahn–Hilliard fluids by using an efficient modified scalar auxiliary variable approach55
Understanding fast adsorption in single-solute breakthrough curves54
Dynamical inquest of refuge and bubbling issues in an interacting species system53
Stability and error analysis of the SAV schemes for the inductionless MHD equations52
Alternating direction implicit approach for the two-dimensional time fractional nonlinear Klein–Gordon and Sine–Gordon problems50
SIR dynamics with infection age in complex heterogeneous networks49
A coevolution model of defensive medicine, litigation and medical malpractice insurance49
Dynamics of a delayed discrete size-structured chemostat with periodic nutrient supply44
Nonintrusive model order reduction for cross-diffusion systems43
On critical double phase Choquard problems with singular nonlinearity43
Structural and qualitative properties of a geometrically integrable equation42
Nonlinear dynamics of the spacial vibration system considering the interactions between the frame and materials41
Fractional derivative resolution of the anomalous magnetic field diffusion through a ferromagnetic steel rod: Application to eddy current testing41
Healthy versus congestive heart failure patients—An approach via the Hurst parameter41
The construction of an optimal fourth-order fractional-compact-type numerical differential formula of the Riesz derivative and its application40
Input-to-state stability of stochastic differential systems with hybrid delay-dependent impulses40
New results on the existence and uniqueness of positive almost periodic solution for the generalized Mackey–Glass hematopoietic model40
Coverings and nonlocal symmetries as well as fundamental solutions of nonlinear equations derived from the nonisospectral AKNS hierarchy40
A new kind of double phase elliptic inclusions with logarithmic perturbation terms I: Existence and extremality results40
Identification of discontinuous parameters in contaminant convection–reaction–diffusion model of recovered fracturing fluid39
Observer normal form design for the nonlinear MIMO systems using coupled auxiliary dynamics39
Stabilization and destabilization of fractional oscillators via a delayed feedback control39
Comparison of pandemic intervention policies in several building types using heterogeneous population model39
Dynamics and profiles of a degenerated reaction–diffusion host-pathogen model with apparent and inapparent infection period38
Finite element approximation of a Keller–Segel model with additional self- and cross-diffusion terms and a logistic source38
A generalized penalty method for a new class of differential inequality system38
Exponentially fitted methods that preserve conservation laws37
Regularity and strong convergence of numerical approximations for stochastic wave equations with multiplicative fractional Brownian motions35
Containment control of PDE-type T–S fuzzy multi-agent systems via event-triggered scheme35
Model and numerical method for soliton propagation through thermal medium based on nonlinear Schrödinger and heat transfer equations35
A representation-theoretical approach to higher-dimensional Lie–Hamilton systems: The symplectic Lie algebra 35
Tunable subdiffusion in the Caputo fractional standard map34
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Recent advances in a rigorous computation of Poincaré maps34
Linear energy-stable method with correction technique for the Ohta–Kawasaki–Navier–Stokes model of incompressible diblock copolymer melt33
The impact of different strategy update mechanisms on information dissemination under hyper network vision33
Mathematical study of a new coupled electro-thermo radiofrequency model of cardiac tissue33
Extreme intermodal energy transfers through vibro-impacts for highly effective and rapid blast mitigation32
Adaptive numerical solutions of time-fractional advection–diffusion–reaction equations32
A numerical study of N-periodic wave solutions to four integrable eq32
On triple-adaptive projection method for bilevel split variational inequalities with CFPP constraint of finite Bregman relatively demicontractions in Banach spaces31
Dynamic analysis and performance evaluation of inerter fractional nonlinear quasi-zero stiffness isolator on a multi-span bridge under moving load31
Long-time behaviors of wave equations stabilized by boundary memory damping and friction damping31
Mode-matching technique for analyzing scattering in elastic shell chambers: Applications in trifurcated waveguide systems31
A new efficient algorithm based on feedforward neural network for solving differential equations of fractional order31
Periodic propagation of complex-valued hyperbolic-cosine-Gaussian solitons and breathers with complicated light field structure in strongly nonlocal nonlinear media31
Effects of a moving barrier on the first-passage time of a diffusing particle under stochastic resetting30
Event-triggered iterative learning containment control for one-sided Lipschitz nonlinear singular switched multi-agent systems with multiple leaders and error quantization30
Two-grid FEM for fractional diffusion problems with limited regularity29
Further results on distributed finite-time synchronization for fractional-order coupled neural networks29
Limit cycles and chaos in planar hybrid systems29
Reducing vibration isolation frequency in an X-shaped two-stage nonlinear system29
On a matrix KdV6 equation29
Leader-following output consensus for strict-feedback nonlinear multiagent systems with edge-based event-triggered communications28
Modelling of HIV viral load and 2-LTR dynamics during high active antiretroviral therapy in a heterogeneous environment28
Unconditional superconvergence analysis of low-order conforming mixed finite element method for time-dependent incompressible MHD equations28
Two fast finite difference methods for a class of variable-coefficient fractional diffusion equations with time delay28
Optimizing target control in complex networks using edge-addition cost28
The dynamic corridor of regolith transportation near a spinning-up asteroid28
Analysis of a stochastic predator–prey model with weak Allee effect and Holling-(n+1) functional response28
Difference methods for time discretization of spectral fractional stochastic wave equation28
Stabilized finite element approximation of the Swift–Hohenberg model on evolving surfaces27
Automatic Proper Orthogonal Block Decomposition method for network dynamical systems with multiple timescales27
Dynamics of a harmonically excited nonlinear pipe conveying fluid equipped with a local nonlinear energy sink27
A stochastic analysis of a SIQR epidemic model with short and long-term prophylaxis27
Analysis of a semi-implicit and structure-preserving finite element method for the incompressible MHD equations with magnetic-current formulation26
Dominant causal factors of failure performance of cross-jointed segmental lining26
Complex-order fractional diffusion in reaction-diffusion systems26
Breather, lump and N-soliton wave solutions of the (2+1)-dimensional coupled nonlinear partial differential equation with variable coefficients26
Self-organization of nested patterns in a coupled spatiotemporal phytoplankton-zooplankton system26
Competitive exclusion and coexistence in an intraguild predation model with Beddington–DeAngelis functional response26
Three- and four-wave resonances in the nonlinear quadratic Kelvin lattice26
Nonlinear anomalous information diffusion model in social networks26
Stability for nonlinear wave motions damped by time-dependent frictions25
Time-periodic traveling waves for a periodic Lotka–Volterra competition system with nonlocal dispersal25
Existence and nonexistence of traveling waves of coupled Burgers’ equations25
Rogue waves dynamics of cubic–quintic nonlinear Schrödinger equation with an external linear potential through a modified Noguchi electrical transmission network25
Softening/hardening dynamics of beam resting on generalized nonlinear foundation with a linear stiffening effect25
Numerical simulation and new controller design of steerable nano-mirror in ionic liquid electrolytes25
Global exponential stability and stabilization of stochastic memristive neural networks with spatial diffusions and hybrid delays25
On the generalized logistic random differential equation: Theoretical analysis and numerical simulations with real-world data25
Robust equilibrium strategies for time-inconsistent stochastic optimal control problems with applications25
Finite-time boundary stabilization for Korteweg–de Vries–Burgers equations25
Lattice-based model for pricing contingent claims under mixed fractional Brownian motion25
KAM quasi-periodic solutions for the dissipative standard map25
An energy-preserving finite difference scheme with fourth-order accuracy for the generalized Camassa–Holm equation24
Time-fractional porous medium equation: Erdélyi–Kober integral equations, compactly supported solutions, and numerical methods24
Synchronization in memristive HR neurons with hidden coexisting firing and lower energy under electrical and magnetic coupling24
Command-filter based predefined-time neural adaptive decentralized control for interconnected systems with dynamic uncertainties24
Dual-triggered scheme for adaptive neural control of MIMO nonlinear switched systems against sensor and actuator attacks24
Simultaneous control of rigidity and hand tremor by adaptive fuzzy Q-learning24
A study on torsional vibration attenuation of closed-loop crankshaft using nonlinear energy sink under abnormal engine operating condition24
Stabilization of impulsive hybrid stochastic differential equations with Lévy noise by feedback control based on discrete-time state observations24
A study of a nonlinear vibration isolator supported on an imperfect boundary plate24
A new multi-component integrable coupling and its application to isospectral and nonisospectral problems24
Event-triggered set stabilization of impulsive logical control networks based on the hybrid index model approach24
Learning Vector Fields of Differential Equations on Manifolds with Curvature-Adaptive Geometrically Constrained SINDy24
Fractional partial differential variational inequality24
Conditional physics informed neural networks23
Research on the hybrid chaos-coud salp swarm algorithm23
Non-asymptotic and robust estimation for a class of nonlinear fractional-order systems23
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 applicatio23
Editorial Board23
Interaction of one-dimensional quantum droplets with potential wells and barriers23
Coexistence of triple, quadruple attractors and Wada basin boundaries in a predator–prey model with additional food for predators23
Bifurcation analysis of an ecological model with nonlinear state–dependent feedback control by Poincaré map defined in phase set23
Dynamical behavior and numerical simulation of a stochastic eco-epidemiological model with Ornstein–Uhlenbeck process23
Computing two actuarial quantities under multilayer dividend strategy with a constant interest rate: Based on Sinc methods22
Parametric resonance and stochastic stability of a vibro-impact system under bounded noise excitation22
Editorial Board22
Planar quartic–quadratic fold–fold singularity of Filippov systems and its bifurcation22
Heterogeneous consensus controller design for multi-agent saturated-input systems under switching topologies with partly unknown transition rates22
Nonlinear dynamics of continuous steady-state tunable mechanical metamaterials based on planetary gears22
The analysis of geometrically nonlinear behavior of SMAs using RKPM22
An emotion-information spreading model in social media on multiplex networks22
Characterization of global centers by the monodromy at infinity22
Stochastic bipartite synchrony under signed co-opetition CADNNs: A pth22
Evolutionary dynamics of structured populations with density-dependent limitation of juvenile survival22
The high-order exponential semi-implicit scalar auxiliary variable approach for the general nonlocal Cahn-Hilliard equation22
Spatial dispersal in chemostat systems with agent-based asymmetry22
Random periodic solutions of SDEs driven by a-stable processes: existence, uniqueness and numerical approximations22
On convergence analysis of feedback control with integral action and discontinuous relay perturbation22
Security-based control design for synchronization of switched reaction diffusion neural networks with hybrid attacks22
Modified hat functions for constrained fractional optimal control problems with ψ22
Complex dynamics of a non-smooth temperature-sensitive memristive Wilson neuron model22
Forecasting crude oil option prices with dynamic factors using integrated machine learning models22
Numerical analysis of age-structured HIV model with general transmission mechanism22
Comparative dynamics analysis of the environmental policy efficacy in a nonlinear Cournot duopoly with differentiated goods and emission charges22
A robust common-weights WENO scheme based on the flux vector splitting for Euler equations21
Dynamical transition and bifurcation of a diffusive predator–prey model with an Allee effect on prey21
Extremal parameter for double phase problem with concave–convex nonlinearity21
Stochastic conformal symplectic exponential Runge–Kutta–Nyström integrators for solving damped second-order SDEs with applications in damped stochastic nonlinear wave equations21
Performance assessment of energy-preserving, adaptive time-step variational integrators21
On the numerical solution of the iterative parabolic equations by ETDRK pseudospectral methods in linear and nonlinear media21
On the periodic orbits of the continuous–discontinuous piecewise differential systems with three pieces separated by two parallel straight lines21
A fast time-stepping method based on the hp21
Relative controllability of nonlinear switched fractional delayed systems21
Turing–Turing bifurcation in an activator–inhibitor system with gene expression time delay21
On rapid vibration suppression by nonlinear energy sink during first half cycle of oscillation21
Visualizing the phase space of the HeI2 van der Waals complex usin21
Radius evolution for bubbles with elastic shells21
Fixed-time output synchronization of multi-layer complex networks under dynamic event-triggering control21
The dynamic analysis of the rumor spreading and behavior diffusion model with higher-order interactions21
Topological energy of the distance matrix21
Singularities and heteroclinic connections in complex-valued evolutionary equations with a quadratic nonlinearity20
Adaptive optimized consensus control for a class of nonlinear multi-agent systems with asymmetric input saturation constraints and hybrid faults20
Editorial Board20
Further stabilization criteria of continuous systems with aperiodic time-triggered intermittent control20
Delocalized nonlinear vibrational modes in fcc metals20
Approximate symmetry of time-fractional partial differential equations with a small parameter20
Nonlinear dynamical and harvesting characteristics of bistable energy harvester under hybrid base vibration and galloping20
Asymmetry of synchronisation tongue in persistent sodium plus potassium neuron model20
Editorial Board20
Electromagnetic field in a conducting medium modeled by the fractional Ohm’s law20
An efficient energy-stable pseudospectral method for simulating vortex dynamics of the Ginzburg–Landau–Schrödinger equation20
Revealing bifurcation mechanisms in a 2D nonsmooth map by means of the first return map19
Distributed “End-Edge-Cloud” structural car-following control system for intelligent connected vehicle using sliding mode strategy19
Consistency-enhanced E-SAV BDF2 time-marching method with relaxation for the hydrodynamically-coupled binary phase-field crystal model19
A new class of history-dependent quasi variational–hemivariational inequalities with constraints19
Characterization of chimeras in coupled phase oscillators based on a coherence function19
Editorial Board19
Computer assisted proof of drift orbits along normally hyperbolic manifolds II: Application to the restricted three body problem19
Modulational instability and sister chirped femtosecond modulated waves in a nonlinear Schrödinger equation with self-steepening and self-frequency shift19
Asynchronous event-triggered H 19
Responses, optimization and prediction of energy harvesters under galloping and base excitations19
Stochastic 0-dimensional Biogeochemical Flux Model: Effect of temperature fluctuations on the dynamics of the biogeochemical properties in a marine ecosystem19
Normalized fractional gradient flow for nonlinear Schrödinger/Gross–Pitaevskii equations19
Asset price-GDP cross feedback. The role of dividend policies in a dynamic setting19
Projected solutions for generalized quasivariational inequalities without compact constraint multimap19
Stability of non-instantaneous impulsive systems in Hilbert spaces19
On the spatial spread of active control in a van der Pol ring via synchronisation and its stabilisation using parameter mismatch19
Kernel functions embed into the autoencoder to identify the sparse models of nonlinear dynamics19
Resilient discontinuous event-triggering control for exponential stabilization of memristive neural networks under denial-of-service attacks19
KAM quasi-periodic tori for the dissipative spin–orbit problem19
Regularity criteria for the 3D axisymmetric non-resistive MHD system19
Mikusiński’s operational calculus for multi-dimensional fractional operators with applications to fractional PDEs18
High-order moment interval stability/stabilization and observability of stochastic impulsive T–S fuzzy systems18
Numerical energy dissipation for time fractional volume-conserved Allen–Cahn model based on the ESAV and R-ESAV approaches18
A deep learning approach for solving the stationary compositional two-phase equilibrium problems18
Conservation laws of mean field games equations18
First Passage and First Exit Times for diffusion processes related to a general growth curve18
Dynamics of an age-structured SIS epidemic model with local dispersal and general incidence functions18
Nonlinear dynamic characteristics analysis of herringbone gear transmission system with tooth root crack18
Robust globally divergence-free weak Galerkin methods for unsteady incompressible convective Brinkman–Forchheimer equations18
Superconvergence analysis and extrapolation of a BDF2 fully discrete scheme for nonlinear reaction–diffusion equations18
A linearized L2-1σ18
On a multivalued prescribed mean curvature problem and inclusions defined on dual spaces18
Adaptive finite-time pinned and regulation synchronization of disturbed complex networks18
A numerical study of the scattering in the He-Cu model with a Morse potential: Parabolic manifolds and exponentially small phenomena18
Command filter approximator-based fixed-time fuzzy control for uncertain nonlinear systems with input saturation18
A novel discontinuous Galerkin projection scheme for the hydrodynamics of nematic liquid crystals18
Stability analysis for neutral stochastic time-varying systems with delayed impulses18
Editorial Board18
Exponential input-to-state stability of delay Korteweg–de Vries–Burgers equations17
Editorial Board17
Direct and inverse problems for a 2D heat equation with a Dirichlet–Neumann–Wentzell boundary condition17
Discrete multi-soliton solutions and dynamics for a reverse-time nonlocal nonlinear self-dual network equation17
Diffusion transitions in a 2D periodic lattice17
Approximate analytical solution for transient heat and mass transfer across an irregular interface17
An Improved Normal Compliance method for dynamic hyperelastic problems with energy conservation property17
Complete classification on center of cubic planar systems symmetric with respect to a straight line17
Similarity solutions of fractional parabolic boundary value problems with uncertainty17
Entire solutions originating from semi-trivial pulsating fronts of reaction–advection–diffusion competition systems in periodic media17
A consistent projection finite element method for the non-stationary incompressible thermally coupled MHD equations17
A kinetic theory model for the energy-demand management in a microgrid–macrogrid network17
Adaptive practical prescribed-time formation tracking of networked nonlinear multiagent systems with quantized inter-agent communication17
Nonlinear dynamics and onset of chaos in a physical model of a damper pressure relief valve17
Periodic solutions of a tapping mode cantilever in an Atomic Force Microscope with harmonic excitation17
Perturbation-based approximate analytic solutions to an articulated SLIP model for legged robots17
Periodic traveling waves for a diffusive SIR epidemic model with general nonlinear incidence and external supplies17
Strong convergence rates for the approximation of a stochastic time-fractional Allen–Cahn equation17
Multi-physical cooperative control of plug-in hybrid electric vehicles via cyber hierarchy and interactional network17
Observability and observer design for a class of hyperbolic PDEs with van de Pol type boundary conditions17
Partially known transition rates-based resilient H17
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Phase computation for the finite-genus solutions to the focusing nonlinear Schrödinger equation using convolutional neural networks17
Non-weighted H16
Numerical modeling of stress state-dependent anisotropic fracture behavior for WE43 alloy16
Sliding-mode surface-based approximate optimal control for nonlinear multiplayer Stackelberg-Nash games via adaptive dynamic programming16
Certain electromagnetic waves in a ferromagnetic film16
A second-order Strang splitting scheme for the generalized Allen–Cahn type phase-field crystal model with FCC ordering structure16
A class of delay differential variational inequalities with boundary conditions16
Stability for Markov switching stochastic delay systems binding event-triggered mechanism to activate multi-impulse jumps16
A numerical method for two-phase flow with its application to the Kelvin–Helmholtz instability problem16
A re-scaling spectral collocation method for the nonlinear fractional pantograph delay differential equations with non-smooth solutions16
Robust set stabilization of Boolean control networks with edge removal perturbations16
Dynamic response and chaos analysis of a spatial multi-body system with multiple clearance joints and a flexible component16
Design and experimental study of a two-stage nonlinear vibration isolators with quasi-zero stiffness16
Supercritical nonlinear transverse vibration of a hyperelastic beam under harmonic axial loading16
Event-triggered prescribed performance adaptive secure control for nonlinear cyber physical systems under denial-of-service attacks16
A stochastic averaging mathematical framework for design and optimization of nonlinear energy harvesters with several electrical DOFs16
Investigation of magneto-electro-thermo-mechanical loads on nonlinear forced vibrations of composite cylindrical shells16
On the selected problems of time-dependent dynamics of composite truncated conical shells-like aerospace structures16
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