Communications in Nonlinear Science and Numerical Simulation

Article	Citations
Validated integration of differential equations with state-dependent delay	101
Homogenization for stochastic complex Ginzburg–Landau equation on the half-line with rapid Neumann boundary fluctuation	97
Editorial Board	85
Quasi-static filling of a disordered nanoporous medium with a non-wetting liquid as a process of self-organized criticality	80
Fully discrete stabilized mixed finite element method for chemotaxis equations on surfaces	75
Dynamic analysis and performance evaluation of inerter fractional nonlinear quasi-zero stiffness isolator on a multi-span bridge under moving load	75
A two-network adversarial game: Model, strategy, and structure	71
Steady-state solutions of the Whittaker–Hill equation of fractional order	70
Shape optimization with virtual element method	69
On a finite population variation of the Fisher–KPP equation	69
Analysis of environmental transport of suspended sediment particles in a tidal wetland flow under the effect of floating vegetation absorption	68
Self-organizations with fast-slow time scale in a memristor-based Shinriki’s circuit	67
Theoretical analysis of a measles model with nonlinear incidence functions	66
Relationship between nonlinear free vibration behavior and nonlinear forced vibration behavior of viscoelastic plates	65
Predicting the arrival of the unpredictable: An approach for foreseeing the transition to chaos of wildfire propagation	63
Hopf bifurcation analysis for Parkinson oscillation with heterogeneous delays: A theoretical derivation and simulation analysis	63
Soliton solutions for two kinds of fourth-order nonlinear nonlocal Schrödinger equations	62
Beat frequency induced transitions in synchronization dynamics	61
Nonlinear two-component system of time-fractional PDEs in (2	60
Stochastic multi-group epidemic SVIR models: Degenerate case	60
Protocol-based state estimation of two-time-scale complex networks with nonhomogeneous sojourn probabilities	55
Adaptive fuzzy asymptotic predefined-time tracking control of uncertain nonlinear systems based on event-trigger	54
On triple-adaptive projection method for bilevel split variational inequalities with CFPP constraint of finite Bregman relatively demicontractions in Banach spaces	52
Extremization to fine tune physics informed neural networks for solving boundary value problems	51
Effect of the chaotic signal on the firing frequency of Morris-Lecar neurons	51

Discontinuous polynomial approximation in electrical impedance tomography with total variational regularization	51
Asynchronous filtering for Markov jump systems within finite time: A general event-triggered communication	50
Persistence in spatial multi-species food webs: The conflicting influences of isolated food web feasibility and spatial asynchrony	49
Stability analysis and optimal control in an epidemic model on directed complex networks with nonlinear incidence	49
Pursuit-evasion games of multiple cooperative pursuers and an evader: A biological-inspired perspective	49
Input-to-state stability of stochastic differential systems with hybrid delay-dependent impulses	47
The impact of different strategy update mechanisms on information dissemination under hyper network vision	46
Study of a general growth model	44
Coverings and nonlocal symmetries as well as fundamental solutions of nonlinear equations derived from the nonisospectral AKNS hierarchy	43
On a semilinear parabolic problem with non-local (Bitsadze–Samarskii type) boundary conditions in more dimensions	43
Global optimisation in Hilbert spaces using the survival of the fittest algorithm	43
Stability and error analysis of the SAV schemes for the inductionless MHD equations	43
A hybrid impulsive and sampled-data control for fractional-order delayed reaction–diffusion system of mRNA and protein in regulatory mechanisms	42
Dynamics and numerical simulation of optical pulses in the passively mode-locked Er-doped fiber laser	40
Error analysis of an effective numerical scheme for a temporal multiscale plaque growth problem	40
Grünwald–Letnikov scheme for a multi-term time fractional reaction-subdiffusion equation	39
Bursting oscillations induced by multiple coexisting attractors in a modified 3D van der Pol-Duffing system	39
Semi-analytical predictions of multi-stable independent periodic motions and bifurcation evolution in a nonlinear bolted rotor system	38
Invasion traveling waves of a three species Lotka–Volterra competitive system with nonlocal dispersal	38
Dynamics of a delayed discrete size-structured chemostat with periodic nutrient supply	37
Bessel vortices in spin-orbit-coupled binary Bose–Einstein condensates with Zeeman splitting	37
Variational fractional-order modeling of viscoelastic axially moving plates and vibration simulation	36
The estimation method of normalized Nonlinear Output Frequency Response Functions with only response signals under stochastic excitation	36
Utilizing the geometric mechanics framework to predict attitude in a full ephemeris model of the Cislunar region	36
Mode-matching technique for analyzing scattering in elastic shell chambers: Applications in trifurcated waveguide systems	36
Evolution equations with nonlocal multivalued Cauchy problems	35
Stability and convergence analysis of adaptive BDF2 scheme for the Swift–Hohenberg equation	35
On contraction in mean square of stochastic difference systems with delays	34
Nonintrusive model order reduction for cross-diffusion systems	33
On nonclassical symmetries, Painlevé analysis and singular, periodic and solitary wave solutions of generalized Hirota-Satsuma coupled KdV system	33
Modeling the virus-induced tumor-specific immune response with delay in tumor virotherapy	32
Editorial Board	32
Growing cumulative activity of major tropical cyclones: Detection, attribution, and projections	32
Deep learning methods for the computation of vibrational wavefunctions	32
Nonshifted dynamics of constrained systems on time scales under Lagrange framework and its Noether’s theorem	32
On a fermionic extension of K(−	32
An efficient HLL-based scheme for capturing contact-discontinuity in scalar transport by shallow water flow	31
Using the Lévy sections to reduce risks in the buying strategies and asset sales that value in time	31
Generalized projective control for leader-following multi-agent systems with predefined-time	30
A new kind of double phase elliptic inclusions with logarithmic perturbation terms I: Existence and extremality results	30
Parametric resonance of an axially accelerating viscoelastic membrane with a fractional model	29
A special phenomenon of wave interactions: An application of nonlinear evolution equation in (3+1)-dimension	29
A generalized penalty method for a new class of differential inequality system	29
A priori estimates to solutions of the time-fractional convection–diffusion–reaction equation coupled with the Darcy system	28
Sampled-data output tracking control based on T–S fuzzy model for cancer-tumor-immune systems	28
Spatial competition strategies: The case of two refuges	28
Co-evolution of cooperation with resource allocation in spatial multigame using switching control	28
Finite-time covert attacks on reference tracking systems with unknown-but-bounded noises	28
Dynamic modes of population size and its genetic structure for species with nonoverlapping generations and stage development	27
Multiple bifurcations in a mathematical model of glioma-immune interaction	27

Numerical continuation for fractional PDEs: sharp teeth and bloated snakes	27
Synchronously discrete-time feedback control of large-scale systems	27
Novel and accurate Gegenbauer spectral tau algorithms for distributed order nonlinear time-fractional telegraph models in multi-dimensions	27
Many-body effects in models with superexponential interactions	27
Hamiltonian formulation and symplectic split-operator schemes for time-dependent density-functional-theory equations of electron dynamics in molecules	27
Hopf bifurcation in a spatial heterogeneous and nonlocal delayed reaction–diffusion equation	26
An adaptive stochastic investigation of partial differential equations using wavelet collocation generalized polynomial chaos method	26
Kink-antikink collisions in the periodic φ4 model	26
Bounded solution structure of Schrödinger equation in the presence of the minimal length and its effect: Bound states in the continuum are universal	25
SIR dynamics with infection age in complex heterogeneous networks	25
Exploring critical points of energy landscapes: From low-dimensional examples to phase field crystal PDEs	25
A dissipation informed peridynamic model for dynamic brittle fracture	25
Editorial Board	25
Chaos indicator and integrability conditions from geometrodynamics	25
Nonlinearity of the volume–volatility correlation filtered through the pointwise Hurst–Hölder regularity	25
Periodic measures for the stochastic delay modified Swift–Hohenberg lattice systems	24
On variational–hemivariational inequalities in Banach spaces	24
Energy stable discontinuous Galerkin method for compressible Navier–Stokes–Allen–Cahn system	24
Editorial Board	24
Healthy versus congestive heart failure patients—An approach via the Hurst parameter	24
Particle-based numerical modeling of a thin granular layer subjected to oscillating flow	24
A hard day’s night: A dynamical model of artistic career choice	23
Dynamics of a binary option market with exogenous information and price sensitivity	23
High dimensional tori and chaotic and intermittent transients in magnetohydrodynamic Couette flows	23
Coupled systems of nonlinear variational inequalities and applications	23
A dynamic model of adaptive consumers with endogenous unimodal preferences	23
Nonlinear self-organized population dynamics induced by external selective nonlocal processes	23
Comparison between phase-field model and coarse-grained model for characterizing cell-resolved morphological and mechanical properties in a multicellular system	23
Traditional and non-traditional active nonlinear vibration absorber with time delay combination feedback for hard excitation	22
Bäcklund transformation and localized nonlinear wave solutions of the nonlocal defocusing coupled nonlinear Schrödinger equation	22
Nonlinear dynamics and adjunct profits in two boundedly rational models of monopoly	22
Dynamics of the Chaplygin sphere with additional constraint	22
Dual-robust iterative analysis of divergence-conforming IPDG FEM for thermally coupled inductionless MHD system	22
Fractional dynamics and modulational instability in long-range Heisenberg chains	22
Computation of generating symmetries	21
An algorithm to compute rotation intervals of circle maps	21
Introducing some classes of stable systems without any smooth Lyapunov functions	21
Steady-states solutions of the Vlasov–Maxwell–Fokker–Planck system of proton channeling in crystals	21
Symmetry properties of conservation laws for nonlinear Fokker-Planck equation describing cell population growth	21
Observer normal form design for the nonlinear MIMO systems using coupled auxiliary dynamics	21
Anisotropic and isotropic implicit obstacle problems with nonlocal terms and multivalued boundary conditions	21
Fully nonlinear Cucker–Smale model for pattern formation and damped oscillation control	21
Topological and non-topological kink families in non-linear (	21
Rao-Blackwellized particle smoothing for mixed linear/nonlinear state-space model with asynchronously dependent noise processes	20
Stochastic resetting and linear reaction processes: A continuous time random walk approach	20
Editorial Board	20
Nonconforming modified Quasi-Wilson finite element method for convection–diffusion-reaction equation	20
Observation of stochastic resonance for weak periodic magnetic field signal using a chaotic system	20
Controlling mean exit time of stochastic dynamical systems based on quasipotential and machine learning	20
End-to-end trajectory concept for close exploration of Saturn’s Inner Large Moons	20
A bivariate subinterval method for dynamic analysis of mechanical systems with interval uncertain parameters	20
Formulating and heuristic solving of contact problems in hybrid data-driven computational mechanics	20
Fractional derivative resolution of the anomalous magnetic field diffusion through a ferromagnetic steel rod: Application to eddy current testing	20
On critical double phase Choquard problems with singular nonlinearity	20
Well-posedness of space fractional Ginzburg–Landau equations involving the fractional Laplacian arising in a Bose–Einstein condensation and its kernel based approximation	20
Properties of the generalized Chavy-Waddy–Kolokolnikov model for description of bacterial colonies	20
Global bipartite synchronization of fractional-order time-varying coupled signed networks with proportional delays	19
Analysis of static charge induced pull-in of an electrostatic MEMS	19
An asymmetrical body: Example of analytical solution for the rotation matrix in elementary functions and Dzhanibekov effect	19
Identification of discontinuous parameters in contaminant convection–reaction–diffusion model of recovered fracturing fluid	19
Extended state observer-based control of heartbeat described by heterogeneous coupled oscillator model	19
Stochastic resonance benefits in signal detection under MAP criterion	19
Assessing potential insights of an imperfect testing strategy: Parameter estimation and practical identifiability using early COVID-19 data in India	19
Modeling mosquito control by an impulsive reaction–diffusion mosquito model with periodic evolution domain	19
Deep inelastic collision of two-dimensional anisotropic dipolar condensate solitons	19
Nonlinear dynamics and control of galloping vibration under unsteady wind flow by high-frequency excitation	19
A sharp discrete convolution sum estimate	19
Spatiotemporal patterns and bifurcations with degeneration in a symmetry glycolysis model	18
Integrability characteristics of a novel (2+1)-dimensional nonlinear model: Painlevé analysis, soliton solutions, Bäcklund transformation, Lax pair and infinitely many conservation laws	18
Fuzzy fractional delay differential inclusions driven by hemivariational inequalities in Banach spaces	18
Alternating direction implicit approach for the two-dimensional time fractional nonlinear Klein–Gordon and Sine–Gordon problems	18
Resilient finite-time distributed event-triggered consensus of multi-agent systems with multiple cyber-attacks	18
Towards nonconservative conditions for equilibrium stability. Applications to switching systems with control delay	18
Global Mittag-Leffler boundedness of nabla discrete-time fractional-order fuzzy complex-valued molecular models of mRNA and protein in regulatory mechanisms	18
Filtering properties of Hodgkin–Huxley neuron on different time-scale signals	18
Rational and semi-rational solutions to the nonlocal Davey–Stewartson III equation	18
Event-triggered-based adaptive asymptotic tracking control for stochastic nonlinear time-delay systems with actuator and sensor faults	18
Theoretical and numerical analysis of the Landau–Khalatnikov model of ferroelectric hysteresis	18
Four-component integrable hierarchies and their Hamiltonian structures	18
Non-Newtonian incompressible fluids with nonlinear shear tensor and hereditary conditions	18

Controlling the bursting size in the two-dimensional Rulkov model	18
Finite-time robust formation control of multiple aerial robotic vehicles with uncertainties and time-varying complex perturbations	18
Adaptive event-triggered fault-tolerant control for Markov jump nonlinear systems with time-varying delays and multiple faults	17
Unconditionally energy stable schemes for fluid-based topology optimization	17
Construction of exact solutions to nonlinear PDEs with delay using solutions of simpler PDEs without delay	17
Quantization method and Schrödinger equation of fractional time and their weak effects on Hamiltonian: Phase transitions of energy and wave functions	17
Mathematical and asymptotic analysis of thermoelastic shells in normal damped response contact	17
Investigation of a monostable nonlinear vibration isolator with the inertia-elastic boundary	17
Nonlinear vibration of fractional Kelvin–Voigt viscoelastic beam on nonlinear elastic foundation	17
Stationary response determination of MDOF fractional nonlinear systems subjected to combined colored noise and periodic excitation	17
Asynchronous secure controller design for singularly perturbation stochastic semi-Markov jump CPSs with the memory-based dynamic event-triggered scheme against complex cyber-attacks	17
Numerical study of the ternary Cahn–Hilliard fluids by using an efficient modified scalar auxiliary variable approach	17
Equivalence of MTS and CMR methods associated with the normal form of Hopf bifurcation for delayed reaction–diffusion equations	17
An integrated optimization control model of combining epidemic and production–inventory models and its numerical simulations	17
A competition of duopoly game whose players are public: Dynamic investigations	16
On the stability of satellites at unstable libration points of sun–planet–moon systems	16
An improved hybridization strategy for the fifth-order unequal-sized weighted essentially non-oscillatory scheme	16
Mean-square contractivity of stochasticϑ-methods	16
A second-order Strang splitting scheme with exponential integrating factor for the Allen–Cahn equation with logarithmic Flory–Huggins potential	16
Order flow in the financial markets from the perspective of the Fractional Lévy stable motion	16
Event-triggered pinning passivity and synchronization of multiple spatial diffusion coupled reaction–diffusion neural networks	16
Two fast numerical methods for a generalized Oldroyd-B fluid model	16
Dynamical analysis of an immumo-epidemiological coupled system on complex networks	16
Numerical analysis of a self-similar turbulent flow in Bose–Einstein condensates	16
A numerical study of N-periodic wave solutions to four integrable eq	16
A Framework of Hierarchical Attacks to Network Controllability	16
Emergence of extreme events in coupled systems with time-dependent interactions	15
Global dynamics and bifurcation for a discontinuous oscillator with irrational nonlinearity	15
A novel fully-decoupled, linear, and unconditionally energy-stable scheme of the conserved Allen–Cahn phase-field model of a two-phase incompressible flow system with variable density and viscosity	15
Adaptive numerical solutions of time-fractional advection–diffusion–reaction equations	15
Energy stable schemes with second order temporal accuracy and decoupled structure for diffuse interface model of two-phase magnetohydrodynamics	15
Solutions of generalized simple wave type of magnetic fluid	15
Stability analysis of alternating wave solution in a Stuart-Landau system with time delay	15
The art of solving a large number of non-stiff, low-dimensional ordinary differential equation systems on GPUs and CPUs	15
Extreme intermodal energy transfers through vibro-impacts for highly effective and rapid blast mitigation	15
Conservative local discontinuous Galerkin methods for a generalized system of strongly coupled nonlinear Schrödinger equations.	15
Finite element approximation of a Keller–Segel model with additional self- and cross-diffusion terms and a logistic source	15
A mathematical model for oncolytic virus spread using the telegraph equation	15
New criteria of almost sure exponential stability and instability of nonlinear stochastic systems with a generalization to stochastic coupled systems	15
Gaussian process learning of nonlinear dynamics	15
Dynamics analysis of a Filippov pest control model with time delay	15
Model of blood rheology including hemolysis based on population balance	15
Dromion solutions of PT-symmetric (x,y)<	15
A Hamiltonian for 1/1 rotational secondary resonances, and application to small satellites of Saturn and Jupiter	15
Three-component coupled nonlinear Schrödinger system in a multimode optical fiber: Darboux transformation induced via a rank-two projection matrix	15
Nonlinear modeling and vibration mitigation of combined vortex-induced and base vibrations through energy harvesting absorbers	15
Magneto-thermo-elastic coupling vibration and bifurcation characteristics of functionally graded rotating cylindrical shell	15
Traveling chimera states in continuous media	15
Necklace beams carrying fractional angular momentum in fractional systems with a saturable nonlinearity	15
Efficient valuation of variable annuities under regime-switching jump diffusion models with surrender risk and mortality risk	14
High-Order Block Toeplitz Inner-Bordering method for solving the Gelfand–Levitan–Marchenko equation	14
Application of bilateral iterative displacement control method to nonlinear free vibration analysis of dual-FG nanocomposite circular plates	14
Collective behavior of discrete time multi-agent systems with dynamical opinions	14
Inequality, a scourge of the XXI century	14
A time scale approach for analyzing pathogenesis of ATL development associated with HTLV-1 infection	14
High-dimensional nonlinear Ginzburg–Landau equation with fractional Laplacian: Discretization and simulations	14
Dynamics and profiles of a degenerated reaction–diffusion host-pathogen model with apparent and inapparent infection period	14
New self-adaptive methods with double inertial steps for solving splitting monotone variational inclusion problems with applications	14
Numerical modeling for strain rate effect and size effect of ice under uniaxial tension and compression	14
Convergence analysis of an efficient scheme for the steady state second grade fluid model	14
A novel distance correlation entropy and Auto-distance correlation function for measuring the complexity of time series data	14
Hybrid explicit–implicit learning for multiscale problems with time dependent source	14
Nonexistence of integrable nonlinear magnetic fields with invariants quadratic in momenta	14
A strong-form local meshless approach based on radial basis function-finite difference (RBF-FD) method for solving multi-dimensional coupled damped Schrödinger system appearing in Bose–Einstein conden	14
Non-constant steady states and Hopf bifurcation of a species interaction model	14
State of charge estimation for lithium-ion batteries based on a novel complex-order model	14
Application of symmetry analysis to viscoelastic fluid model	14
Turing instability and pattern formation on directed networks	14
A meshless approach based on fractional interpolation theory and improved neural network bases for solving non-smooth solution of 2D fractional reaction–diffusion equation with distributed order	14
Bursting dynamics in a state controlled cellular neural network based MLC circuit with periodic forcing signals	14
Error analysis of a fully discrete projection method for Cahn–Hilliard Inductionless MHD problems	14
Nonlinear stability issues for stochastic Runge-Kutta methods	14
A fractional-step DG-FE method for the time-dependent generalized Boussinesq equations	14
Efficient synchronization estimation for complex time series using refined cross-sample entropy measure	14
A coevolution model of defensive medicine, litigation and medical malpractice insurance	14
The characteristics of cycle-nodes-ratio and its application to network classification	14
Adaptive consensus for uncertain multi-agent systems with stochastic measurement noises	13
Multi-peak solitons in nonlocal nonlinear system with sine-oscillation response	13
Light-fueled self-fluttering aircraft with a liquid crystal elastomer-based engine	13
New results on the existence and uniqueness of positive almost periodic solution for the generalized Mackey–Glass hematopoietic model	13
Exponentially fitted methods that preserve conservation laws	13
Approximating the first passage time density from data using generalized Laguerre polynomials	13
The Fermi–Pasta–Ulam–Tsingou recurrence for discrete systems: Cascading mechanism and machine learning for the Ablowitz–Ladik equation	13
Finite-time stability of Caputo fractional fuzzy differential equations with delay in granular sense	13
Higher-order composition of short- and long-period effects for satellite analytical ephemeris computation	13
Constrained evolutionary variational–hemivariational inequalities with application to fluid flow model	13
Minimal underactuated synchronization with applications to secure communication	13
Nonlinear dynamics of the spacial vibration system considering the interactions between the frame and materials	13
The construction of an optimal fourth-order fractional-compact-type numerical differential formula of the Riesz derivative and its application	13
Regimes identification of the viscous flow past an elliptic cylinder for Reynolds number up to 10000	13
Existence of a weak solution to a nonlinear induction hardening problem with Leblond–Devaux model for a steel workpiece	13
Adaptive fuzzy prescribed settling time consensus control for multi-agent systems with input hysteresis via dynamic event-triggered mechanism	13
Numerical solution of nonlinear stochastic differential equations with fractional Brownian motion using fractional-order Genocchi deep neural networks	13
Leopard seal optimization (LSO): A natural inspired meta-heuristic algorithm	13
Multistability, scattering and selection of equilibria in the mechanical system with constraint	13