Communications in Nonlinear Science and Numerical Simulation

Article	Citations
Validated integration of differential equations with state-dependent delay	110
Steady-state solutions of the Whittaker–Hill equation of fractional order	105
Exact solutions and Bäcklund transformation for a generalized (	104
Exponential stability estimate for derivative nonlinear Schrödinger equation	95
Qualitative study for the system of waste plastic management in the ocean: A discrete-time deterministic model	90
Limit cycle bifurcations in a class of piecewise Hamiltonian systems	82
Remaining useful life prediction for stratospheric airships based on a channel and temporal attention network	81
First-order Euler method is effective for computation of associative-memory network of Kuramoto oscillators	79
Regularity and strong convergence of numerical approximations for stochastic wave equations with multiplicative fractional Brownian motions	77
Homogenization for stochastic complex Ginzburg–Landau equation on the half-line with rapid Neumann boundary fluctuation	76
No two without three: Modeling dynamics of the trio RNA virus-defective interfering genomes-satellite RNAs	76
Theoretical analysis of a measles model with nonlinear incidence functions	74
Predicting the arrival of the unpredictable: An approach for foreseeing the transition to chaos of wildfire propagation	74
Soliton solutions for two kinds of fourth-order nonlinear nonlocal Schrödinger equations	73
Locating influential nodes in hypergraphs via fuzzy collective influence	70
Particle-based numerical modeling of a thin granular layer subjected to oscillating flow	68
Dynamic analysis and performance evaluation of inerter fractional nonlinear quasi-zero stiffness isolator on a multi-span bridge under moving load	68
Filtering properties of Hodgkin–Huxley neuron on different time-scale signals	64
Numerical integration of third-order singular boundary-value problems of Emden–Fowler type using hybrid block techniques	63
A bridge between invariant dynamical structures and uncertainty quantification	62
Non-constant steady states and Hopf bifurcation of a species interaction model	62
A new set and new relations of multiple soliton solutions of (2 + 1)-dimensional Sawada–Kotera equation	55
Bursting oscillations induced by multiple coexisting attractors in a modified 3D van der Pol-Duffing system	54
Protocol-based state estimation of two-time-scale complex networks with nonhomogeneous sojourn probabilities	53
On triple-adaptive projection method for bilevel split variational inequalities with CFPP constraint of finite Bregman relatively demicontractions in Banach spaces	51

Effect of the chaotic signal on the firing frequency of Morris-Lecar neurons	50
Extremization to fine tune physics informed neural networks for solving boundary value problems	49
Persistence in spatial multi-species food webs: The conflicting influences of isolated food web feasibility and spatial asynchrony	48
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	47
Phase-field based modeling and simulation for selective laser melting techniques in additive manufacturing	46
Event-triggered-based adaptive asymptotic tracking control for stochastic nonlinear time-delay systems with actuator and sensor faults	45
Mode-matching technique for analyzing scattering in elastic shell chambers: Applications in trifurcated waveguide systems	44
Adaptive fuzzy prescribed settling time consensus control for multi-agent systems with input hysteresis via dynamic event-triggered mechanism	43
Finite time stability analysis of the coupled stochastic reaction–diffusion systems on networks	43
Robust exponential stability of non-deterministic fuzzy neural networks: A global unidirectional quaternary implicit criterion	43
Dual-robust iterative analysis of divergence-conforming IPDG FEM for thermally coupled inductionless MHD system	43
Periodic measures for the stochastic delay modified Swift–Hohenberg lattice systems	43
Modeling mosquito control by an impulsive reaction–diffusion mosquito model with periodic evolution domain	43
Model and numerical method for soliton propagation through thermal medium based on nonlinear Schrödinger and heat transfer equations	42
Cascades of heterodimensional cycles via period doubling	42
Adaptive fuzzy asymptotic predefined-time tracking control of uncertain nonlinear systems based on event-trigger	42
Numerical simulation of the two-dimensional fractional Schrödinger equation for describing the quantum dynamics on a comb with the absorbing boundary conditions	41
Editorial Board	41
The dimension reduction method of two-grid Crank–Nicolson mixed finite element solution coefficient vectors for nonlinear fourth-order reaction diffusion equation with temporal fractional derivative	39
Sequential time scaling transformation technique for time-delay optimal control problem	38
Editorial Board	38
Dynamic event-triggered neuro-optimal control for uncertain nonlinear systems with unknown dead-zone constraint	37
Mathematical study of a new coupled electro-thermo radiofrequency model of cardiac tissue	37
A two-strain avian–human influenza model with environmental transmission: Stability analysis and optimal control strategies	37
Higher order numerical approximations for non-linear time-fractional reaction–diffusion equations exhibiting weak initial singularity	37
A bilinear modeling in counts time series with applications	37
Uniform error analysis of an exponential IMEX-SAV method for the incompressible flows with large Reynolds number based on grad-div stabilization	37
On a semilinear parabolic problem with non-local (Bitsadze–Samarskii type) boundary conditions in more dimensions	36
Global optimisation in Hilbert spaces using the survival of the fittest algorithm	36
Dynamics and numerical simulation of optical pulses in the passively mode-locked Er-doped fiber laser	35
Editorial Board	34
Utilizing the geometric mechanics framework to predict attitude in a full ephemeris model of the Cislunar region	34
Nonintrusive model order reduction for cross-diffusion systems	34
Bessel vortices in spin-orbit-coupled binary Bose–Einstein condensates with Zeeman splitting	34
Deep learning methods for the computation of vibrational wavefunctions	34
Stability and convergence analysis of adaptive BDF2 scheme for the Swift–Hohenberg equation	34
A special phenomenon of wave interactions: An application of nonlinear evolution equation in (3+1)-dimension	33
Using the Lévy sections to reduce risks in the buying strategies and asset sales that value in time	33
Sampled-data output tracking control based on T–S fuzzy model for cancer-tumor-immune systems	32
Many-body effects in models with superexponential interactions	31
Spatial competition strategies: The case of two refuges	31
Synchronously discrete-time feedback control of large-scale systems	31
Finite-time covert attacks on reference tracking systems with unknown-but-bounded noises	31
A priori estimates to solutions of the time-fractional convection–diffusion–reaction equation coupled with the Darcy system	31
Hopf bifurcation in a spatial heterogeneous and nonlocal delayed reaction–diffusion equation	30
Editorial Board	30
Novel and accurate Gegenbauer spectral tau algorithms for distributed order nonlinear time-fractional telegraph models in multi-dimensions	30
Chaos indicator and integrability conditions from geometrodynamics	30
Healthy versus congestive heart failure patients—An approach via the Hurst parameter	29

Steady-states solutions of the Vlasov–Maxwell–Fokker–Planck system of proton channeling in crystals	29
Editorial Board	29
Traditional and non-traditional active nonlinear vibration absorber with time delay combination feedback for hard excitation	29
Computation of generating symmetries	28
Editorial Board	27
Extended state observer-based control of heartbeat described by heterogeneous coupled oscillator model	27
Observer normal form design for the nonlinear MIMO systems using coupled auxiliary dynamics	27
Introducing some classes of stable systems without any smooth Lyapunov functions	27
Deep inelastic collision of two-dimensional anisotropic dipolar condensate solitons	27
Topological and non-topological kink families in non-linear (	27
Analysis of static charge induced pull-in of an electrostatic MEMS	27
End-to-end trajectory concept for close exploration of Saturn’s Inner Large Moons	27
Fully nonlinear Cucker–Smale model for pattern formation and damped oscillation control	27
On an asymmetric functional-coefficient ARCH-M model	26
Production delays, supply distortions and endogenous price dynamics	26
Investigation of a monostable nonlinear vibration isolator with the inertia-elastic boundary	26
The Fermi–Pasta–Ulam–Tsingou recurrence for discrete systems: Cascading mechanism and machine learning for the Ablowitz–Ladik equation	26
Fractional damping induces resonant behavior in the Duffing oscillator	26
Existence of a weak solution to a nonlinear induction hardening problem with Leblond–Devaux model for a steel workpiece	26
Numerical solution of nonlinear stochastic differential equations with fractional Brownian motion using fractional-order Genocchi deep neural networks	25
Enhanced complexity of chaos in micro/nanoelectromechanical beam resonators under two-frequency excitation	25
A competition of duopoly game whose players are public: Dynamic investigations	25
Analysis on nonlinear stiffness isolators revealing damping thresholds	25
Four-component integrable hierarchies and their Hamiltonian structures	25
An asymmetrical body: Example of analytical solution for the rotation matrix in elementary functions and Dzhanibekov effect	25
A novel distance correlation entropy and Auto-distance correlation function for measuring the complexity of time series data	25
Improved composite implicit time integration method for dynamic analysis of viscoelastic damping systems	25
Variational fractional-order modeling of viscoelastic axially moving plates and vibration simulation	25
Wideband energy harvesting using nonlinear energy sink with bio-inspired hexagonal skeleton structure	25
Multiscale grayscale dispersion entropy: A new nonlinear dynamics metric for time series analysis	24
Rational and semi-rational solutions to the nonlocal Davey–Stewartson III equation	24
Identification of discontinuous parameters in contaminant convection–reaction–diffusion model of recovered fracturing fluid	24
Alternating direction implicit approach for the two-dimensional time fractional nonlinear Klein–Gordon and Sine–Gordon problems	24
Non-Newtonian incompressible fluids with nonlinear shear tensor and hereditary conditions	23
Optimizing elastic potential energy via geometric nonlinear stiffness	23
Towards nonconservative conditions for equilibrium stability. Applications to switching systems with control delay	23
Adaptive event-triggered fault-tolerant control for Markov jump nonlinear systems with time-varying delays and multiple faults	23
Comparison of pandemic intervention policies in several building types using heterogeneous population model	22
Relationship between nonlinear free vibration behavior and nonlinear forced vibration behavior of viscoelastic plates	22
On a class of Schrödinger–Kirchhoff-double phase problems with convection term and variable exponents	22
Limit cycle oscillations in a mechanical system under fractional-order liénard type nonlinear feedback	22
A representation-theoretical approach to higher-dimensional Lie–Hamilton systems: The symplectic Lie algebra	22
Hopf bifurcation analysis for Parkinson oscillation with heterogeneous delays: A theoretical derivation and simulation analysis	22
Generalized Lyapunov stability and designing pseudo-state/order estimator for incommensurate variable order systems	22
Resistance distances in stretched Cantor product networks	22
Event-triggered joint adaptive high-gain observer design for delayed output-sampled nonlinear systems with unknown parameters and output injection	21
Corrigendum to “The impacts of the individual activity and attractiveness correlation on spreading dynamics in time-varying networks” [Communications in Nonlinear Science and Numerical Simulation, Vol	21
A second-order Strang splitting scheme with exponential integrating factor for the Allen–Cahn equation with logarithmic Flory–Huggins potential	21
Dromion solutions of PT-symmetric (x,y)<	21
Some time-inhomogeneous diffusion models for population growth in random environments	21
A novel computational approach to reconstructing evolutionary fitness in self-replicating systems	21
An efficient spectral method for two-dimensional Fredholm integro-differential equations in complex geometries	21
A numerical study of N-periodic wave solutions to four integrable eq	21
Balanced implicit two-step Maruyama methods for stochastic differential equations	21
Vector polynomial based analytical inverse kinematics and configuration design of 6R robotic arms	21
Two-step inertial accelerated algorithms for solving split feasibility problem with multiple output sets	21
Order flow in the financial markets from the perspective of the Fractional Lévy stable motion	21
Conservative local discontinuous Galerkin methods for a generalized system of strongly coupled nonlinear Schrödinger equations.	21
Mathematical modeling to investigate the influence of vaccination and booster doses on the spread of Omicron	20
Global dynamics and bifurcation for a discontinuous oscillator with irrational nonlinearity	20
Editorial Board	20
Quasi-static filling of a disordered nanoporous medium with a non-wetting liquid as a process of self-organized criticality	20
Pursuit-evasion games of multiple cooperative pursuers and an evader: A biological-inspired perspective	20
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	20
Nonlinear modeling and vibration mitigation of combined vortex-induced and base vibrations through energy harvesting absorbers	20
A mathematical model for oncolytic virus spread using the telegraph equation	20
Tunable subdiffusion in the Caputo fractional standard map	20
Fully discrete stabilized mixed finite element method for chemotaxis equations on surfaces	20
Periodic propagation of complex-valued hyperbolic-cosine-Gaussian solitons and breathers with complicated light field structure in strongly nonlocal nonlinear media	20
Nonlinear vibration of fractional Kelvin–Voigt viscoelastic beam on nonlinear elastic foundation	20
Modeling the virus-induced tumor-specific immune response with delay in tumor virotherapy	20
Gaussian process learning of nonlinear dynamics	20
Extreme intermodal energy transfers through vibro-impacts for highly effective and rapid blast mitigation	20
A two-network adversarial game: Model, strategy, and structure	20
Global bipartite synchronization of fractional-order time-varying coupled signed networks with proportional delays	20
New results on the existence and uniqueness of positive almost periodic solution for the generalized Mackey–Glass hematopoietic model	20
Dynamics analysis of a Filippov pest control model with time delay	20
Bursting dynamics in a state controlled cellular neural network based MLC circuit with periodic forcing signals	19
Stability analysis of alternating wave solution in a Stuart-Landau system with time delay	19
Regimes identification of the viscous flow past an elliptic cylinder for Reynolds number up to 10000	19

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	19
Application of bilateral iterative displacement control method to nonlinear free vibration analysis of dual-FG nanocomposite circular plates	19
Fractional derivative resolution of the anomalous magnetic field diffusion through a ferromagnetic steel rod: Application to eddy current testing	19
Nonlinear two-component system of time-fractional PDEs in (2	19
Nonexistence of integrable nonlinear magnetic fields with invariants quadratic in momenta	19
Collective behavior of discrete time multi-agent systems with dynamical opinions	19
Necklace beams carrying fractional angular momentum in fractional systems with a saturable nonlinearity	19
Convergence analysis of an efficient scheme for the steady state second grade fluid model	19
5D model of pancreatic cancer: Key features of ultimate dynamics	19
Beat frequency induced transitions in synchronization dynamics	18
Finite element approximation of a Keller–Segel model with additional self- and cross-diffusion terms and a logistic source	18
Discontinuous polynomial approximation in electrical impedance tomography with total variational regularization	18
Three-component coupled nonlinear Schrödinger system in a multimode optical fiber: Darboux transformation induced via a rank-two projection matrix	18
On the stability of satellites at unstable libration points of sun–planet–moon systems	18
Co-evolution of cooperation with resource allocation in spatial multigame using switching control	18
Pulse vaccination in a SIR model: Global dynamics, bifurcations and seasonality	18
Solutions of generalized simple wave type of magnetic fluid	18
Mathematical model of brain tumour growth with drug resistance	18
Solving the chaos model-data paradox in the cryptocurrency market	18
Error analysis of a fully discrete projection method for Cahn–Hilliard Inductionless MHD problems	18
Efficient valuation of variable annuities under regime-switching jump diffusion models with surrender risk and mortality risk	18
Mathematical and asymptotic analysis of thermoelastic shells in normal damped response contact	18
Topological features of multivariate distributions: Dependency on the covariance matrix	18
A Hamiltonian for 1/1 rotational secondary resonances, and application to small satellites of Saturn and Jupiter	18
Coupled crash mechanics and biomechanics of aircraft structures and passengers	17
An algorithm to compute rotation intervals of circle maps	17
Canard cycle, relaxation oscillation and cross-diffusion induced pattern formation in a slow–fast ecological system with weak Allee effect	17
A dynamic model of adaptive consumers with endogenous unimodal preferences	17
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	17
Multiple transmission routes in nosocomial bacterial infections — A modeling study	17
Implicit unified gas-kinetic scheme for steady state solution of hypersonic thermodynamic non-equilibrium flows	17
Unconditional MBP preservation and energy stability of the stabilized exponential time differencing schemes for the vector-valued Allen–Cahn equations	17
Controlled pattern formation of stochastic Cucker–Smale systems with network structures	17
Multi-peak solitons in nonlocal nonlinear system with sine-oscillation response	17
New criteria of almost sure exponential stability and instability of nonlinear stochastic systems with a generalization to stochastic coupled systems	17
A discussion on nonlocality: From fractional derivative model to peridynamic model	17
Nonshifted dynamics of constrained systems on time scales under Lagrange framework and its Noether’s theorem	17
Growing cumulative activity of major tropical cyclones: Detection, attribution, and projections	17
Spatiotemporal patterns and bifurcations with degeneration in a symmetry glycolysis model	16
Semi-analytical attitude propagation for earth orbiting objects	16
Superconvergence analysis of low order nonconforming finite element method for coupled nonlinear semiconductor device problem	16
Asynchronous filtering for Markov jump systems within finite time: A general event-triggered communication	16
The estimation method of normalized Nonlinear Output Frequency Response Functions with only response signals under stochastic excitation	16
New criteria on exponential stability of impulsive stochastic delayed differential systems with infinite delays	16
A fractional-step DG-FE method for the time-dependent generalized Boussinesq equations	16
Unconditionally energy stable schemes for fluid-based topology optimization	16
Characterization of solutions in Besov spaces for fractional Rayleigh–Stokes equations	16
Coverings and nonlocal symmetries as well as fundamental solutions of nonlinear equations derived from the nonisospectral AKNS hierarchy	16
A novel dimension reduction model based on POD and two-grid Crank–Nicolson mixed finite element methods for 3D nonlinear elastodynamic sine–Gordon problem	16
A hybrid impulsive and sampled-data control for fractional-order delayed reaction–diffusion system of mRNA and protein in regulatory mechanisms	16
Equivalence of MTS and CMR methods associated with the normal form of Hopf bifurcation for delayed reaction–diffusion equations	16
Group classifications, optimal systems, symmetry reductions and conservation law of the generalized fractional porous medium equation	16
Secure multi-synchronization of heterogeneous dynamical networks with deception attacks via event-triggered impulsive control	16
The art of solving a large number of non-stiff, low-dimensional ordinary differential equation systems on GPUs and CPUs	16
Exponentially fitted methods that preserve conservation laws	16
A stabilizer free weak Galerkin method with implicit θ-schemes for f	16
On a fermionic extension of K(−	16
On nonclassical symmetries, Painlevé analysis and singular, periodic and solitary wave solutions of generalized Hirota-Satsuma coupled KdV system	16
Comparison between phase-field model and coarse-grained model for characterizing cell-resolved morphological and mechanical properties in a multicellular system	16
Validated forward integration scheme for parabolic PDEs via Chebyshev series	16
Transparent boundary condition and its high frequency approximation for the Schrödinger equation on a rectangular computational domain	16
An efficient numerical method for the anisotropic phase field dendritic crystal growth model	15
Pinning synchronization of fractional memristor-based neural networks with neutral delays and reaction–diffusion terms	15
High dimensional tori and chaotic and intermittent transients in magnetohydrodynamic Couette flows	15
Energy stable schemes with second order temporal accuracy and decoupled structure for diffuse interface model of two-phase magnetohydrodynamics	15
A hard day’s night: A dynamical model of artistic career choice	15
Fractional dynamics and modulational instability in long-range Heisenberg chains	15
SIR dynamics with infection age in complex heterogeneous networks	15
Nonlocal delay driven spatiotemporal patterns in a single-species reaction–diffusion model	15
Invasion traveling waves of a three species Lotka–Volterra competitive system with nonlocal dispersal	15
Exploring critical points of energy landscapes: From low-dimensional examples to phase field crystal PDEs	15
Generalized projective control for leader-following multi-agent systems with predefined-time	15
Hybrid explicit–implicit learning for multiscale problems with time dependent source	15
An adaptive stochastic investigation of partial differential equations using wavelet collocation generalized polynomial chaos method	15
Two fast numerical methods for a generalized Oldroyd-B fluid model	15
Dynamics of the Chaplygin sphere with additional constraint	15
A coevolution model of defensive medicine, litigation and medical malpractice insurance	15
A sharp discrete convolution sum estimate	15
Nonlinearity of the volume–volatility correlation filtered through the pointwise Hurst–Hölder regularity	15
Semiclassical solutions for a critical Choquard–Poisson system with competitive potentials	15
Nonlinear dynamics of the spacial vibration system considering the interactions between the frame and materials	15
Constrained evolutionary variational–hemivariational inequalities with application to fluid flow model	15
A dissipation informed peridynamic model for dynamic brittle fracture	15
Coupled systems of nonlinear variational inequalities and applications	15
Finite-time adaptive control for uncertain switched port-controlled Hamiltonian systems	15
Stabilization and destabilization of fractional oscillators via a delayed feedback control	15
On robustness of the speed-gradient sampled-data energy control for the sine–Gordon equation: The simpler the better	15
Controlling the bursting size in the two-dimensional Rulkov model	15
Adaptive consensus for uncertain multi-agent systems with stochastic measurement noises	15
Boundary controllability of Riemann–Liouville fractional semilinear equations	15
Event-triggered pinning passivity and synchronization of multiple spatial diffusion coupled reaction–diffusion neural networks	14
Parametric resonance of an axially accelerating viscoelastic membrane with a fractional model	14
Properties of the generalized Chavy-Waddy–Kolokolnikov model for description of bacterial colonies	14
Dynamical inquest of refuge and bubbling issues in an interacting species system	14
A generalized penalty method for a new class of differential inequality system	14