Communications in Nonlinear Science and Numerical Simulation

(The TQCC of Communications in Nonlinear Science and Numerical Simulation is 7. 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 2020-07-01 to 2024-07-01.)
Mathematical modeling of the spread of the coronavirus disease 2019 (COVID-19) taking into account the undetected infections. The case of China409
Coexisting attractors, circuit implementation and synchronization control of a new chaotic system evolved from the simplest memristor chaotic circuit142
Hidden attractors and multistability in a modified Chua’s circuit103
Integrability characteristics of a novel (2+1)-dimensional nonlinear model: Painlevé analysis, soliton solutions, Bäcklund transformation, Lax pair and infinitely many conservation laws98
Chaotic dynamics in a neural network with different types of external stimuli87
New general interaction solutions to the KPI equation via an optional decoupling condition approach81
Predictability, fast calculation and simulation for the interaction solutions to the cylindrical Kadomtsev-Petviashvili equation78
Periodic propagation of complex-valued hyperbolic-cosine-Gaussian solitons and breathers with complicated light field structure in strongly nonlocal nonlinear media73
Novel evolutionary behaviors of the mixed solutions to a generalized Burgers equation with variable coefficients71
A novel modeling of boundary value problems on the glucose graph68
New insight into bifurcation of fractional-order 4D neural networks incorporating two different time delays66
Designing continuous delay feedback control for lattice hydrodynamic model under cyber-attacks and connected vehicle environment66
Lump and lump-multi-kink solutions in the (3+1)-dimensions64
Enhanced vibration isolation performance of quasi-zero-stiffness isolator by introducing tunable nonlinear inerter60
PINN deep learning method for the Chen–Lee–Liu equation: Rogue wave on the periodic background60
The generalized Duffing oscillator60
On the size-dependent nonlinear thermo-electro-mechanical free vibration analysis of functionally graded flexoelectric nano-plate59
Investigation of magneto-electro-thermo-mechanical loads on nonlinear forced vibrations of composite cylindrical shells59
Chaos synchronization in generalized Lorenz systems and an application to image encryption56
A lever-enhanced nonlinear energy sink absorber harvesting vibratory energy via giant magnetostrictive-piezoelectricity54
Variable-order fractional calculus: A change of perspective52
The analysis of solitonic, supernonlinear, periodic, quasiperiodic, bifurcation and chaotic patterns of perturbed Gerdjikov–Ivanov model with full nonlinearity52
Optimal control of a fractional order model for granular SEIR epidemic with uncertainty52
Lie symmetry analysis, optimal system, new solitary wave solutions and conservation laws of the Pavlov equation51
Lie symmetry analysis, soliton solutions and qualitative analysis concerning to the generalized q-deformed Sinh-Gordon equation51
A new class of nonlinear superposition between lump waves and other waves for Kadomtsev–Petviashvili I equation51
The damping accumulated grey model and its application50
On the uncertainty of real-time predictions of epidemic growths: A COVID-19 case study for China and Italy49
Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport49
Investigation of solitons and mixed lump wave solutions with (349
A novel discrete grey seasonal model and its applications48
Generating grid chaotic sea from system without equilibrium point47
Modeling the impact of SARS-CoV-2 variants and vaccines on the spread of COVID-1947
Event-triggered synchronization in fixed time for semi-Markov switching dynamical complex networks with multiple weights and discontinuous nonlinearity47
Elastic collision between one lump wave and multiple stripe waves of nonlinear evolution equations47
A novel composite forecasting framework by adaptive data preprocessing and optimized nonlinear grey Bernoulli model for new energy vehicles sales46
Optimal Control Strategies of Zika Virus Model with Mutant46
Nonlinear flexure mechanics of mixture unified gradient nanobeams43
Analysis of mixed traffic with connected and non-connected vehicles based on lattice hydrodynamic model42
Stability analysis in COVID-19 within-host model with immune response42
Special types of solitons and breather molecules for a (2+1)-dimensional fifth-order KdV equation42
A novel elastic net-based NGBMC(1,n) model with multi-objective optimization for nonlinear time series forecasting41
Hidden attractors, singularly degenerate heteroclinic orbits, multistability and physical realization of a new 6D hyperchaotic system40
Kink-antikink collisions and multi-bounce resonance windows in higher-order field theories39
Solitonic, super nonlinear, periodic, quasiperiodic, chaotic waves and conservation laws of modified Zakharov-Kuznetsov equation in transmission line37
Solitons in birefringent fibers for CGL equation with Hamiltonian perturbations and Kerr law nonlinearity using modified extended direct algebraic method36
Optimizing elastic potential energy via geometric nonlinear stiffness36
Nonlinear size-dependent bending and forced vibration of internal flow-inducing pre- and post-buckled FG nanotubes35
A generalized fractional-order Chebyshev wavelet method for two-dimensional distributed-order fractional differential equations35
Creation of heterogeneity or defects in a memristive neural network under energy flow35
Dynamic analysis on optical pulses via modified PINNs: Soliton solutions, rogue waves and parameter discovery of the CQ-NLSE35
Trivariate Mittag-Leffler functions used to solve multi-order systems of fractional differential equations35
A nonlinear X-shaped structure based tuned mass damper with multi-variable optimization (X-absorber)34
On robust stability of incommensurate fractional-order systems34
Linear energy stable and maximum principle preserving semi-implicit scheme for Allen–Cahn equation with double well potential33
Adaptive optimized consensus control for a class of nonlinear multi-agent systems with asymmetric input saturation constraints and hybrid faults33
Rogue waves, semirational rogue waves and W-shaped solitons in the three-level coupled Maxwell–Bloch equations33
Numerical approaches to Caputo–Hadamard fractional derivatives with applications to long-term integration of fractional differential systems32
Synchronization and spatial patterns in a light-dependent neural network32
A fractional-order compartmental model for the spread of the COVID-19 pandemic32
Nonlinear vibration of fractional Kelvin–Voigt viscoelastic beam on nonlinear elastic foundation32
Event-triggered passivity of multi-weighted coupled delayed reaction-diffusion memristive neural networks with fixed and switching topologies32
Simultaneous vibration mitigation and energy harvesting from a pendulum-type absorber32
Vibration mitigation of a pipe conveying fluid with a passive geometrically nonlinear absorber: a tuning optimal design31
A survey on the modeling of hybrid behaviors: How to account for impulsive jumps properly31
Event-triggering-based leader-following bounded consensus of multi-agent systems under DoS attacks31
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 conden31
Dynamics of a three-species food chain model with fear effect31
An unconditionally stable second-order accurate method for systems of Cahn–Hilliard equations31
Numerical study on the response scenarios in a vibro-impact single-degree-of-freedom oscillator with two unilateral dissipative and deformable constraints30
Filtering properties of Hodgkin–Huxley neuron on different time-scale signals30
Invariant measures for the 3D globally modified Navier–Stokes equations with unbounded variable delays30
Dynamical analysis of an optimal velocity model with time-delayed feedback control29
Dynamical analysis and chaos control in discrete-time prey-predator model29
Radial solutions of a nonlinear k-Hessian system involving a nonlinear operator29
Certain electromagnetic waves in a ferromagnetic film28
Resonance, fusion and fission dynamics of bifurcation solitons and hybrid rogue wave structures of Sawada–Kotera equation28
A new set and new relations of multiple soliton solutions of (2 + 1)-dimensional Sawada–Kotera equation28
Event-triggered prescribed performance adaptive secure control for nonlinear cyber physical systems under denial-of-service attacks28
CAPD::DynSys: A flexible C++ toolbox for rigorous numerical analysis of dynamical systems28
On well-posedness of the sub-diffusion equation with conformable derivative model28
Modulation instability, rogue waves and spectral analysis for the sixth-order nonlinear Schrödinger equation28
Generalized dissipativity state estimation for genetic regulatory networks with interval time-delay signals and leakage delays28
Complex-order particle swarm optimization27
Wave propagation of resonance multi-stripes, complexitons, and lump and its variety interaction solutions to the (2+1)-dimensional pKP equation27
Breather, lump and N-soliton wave solutions of the (2+1)-dimensional coupled nonlinear partial differential equation with variable coefficients27
Synchronization of coupled reaction-diffusion stochastic neural networks with time-varying delay via delay-dependent impulsive pinning control algorithm27
A matrix Yajima–Oikawa long-wave-short-wave resonance equation, Darboux transformations and rogue wave solutions27
Dynamics analysis of a Filippov pest control model with time delay27
Resilient distributed secure consensus control for uncertain networked agent systems under hybrid DoS attacks26
The Riemann–Hilbert approach for the higher-order Gerdjikov–Ivanov equation, soliton interactions and position shift26
Regulating synchronous patterns in neurons and networks via field coupling26
Convergence of a generalized penalty method for variational–hemivariational inequalities26
Solving coefficient inverse problems for nonlinear singularly perturbed equations of the reaction-diffusion-advection type with data on the position of a reaction front26
Synchronization analysis of two eccentric rotors with double-frequency excitation considering sliding mode control26
Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: What could possibly go wrong?25
Recurrence plots for characterizing random dynamical systems25
Wideband energy harvesting using nonlinear energy sink with bio-inspired hexagonal skeleton structure25
Nonlocal operator method for the Cahn-Hilliard phase field model25
An investigation of nonlinear time-fractional anomalous diffusion models for simulating transport processes in heterogeneous binary media25
A fourth-order dissipation-preserving algorithm with fast implementation for space fractional nonlinear damped wave equations24
Adaptive linear second-order energy stable schemes for time-fractional Allen-Cahn equation with volume constraint24
Computation of periodic orbits for piecewise linear oscillator by Harmonic Balance Methods24
Linear and nonlinear free vibration analysis of functionally graded porous nanobeam using stress-driven nonlocal integral model24
Distributed optimal fusion filtering for singular systems with random transmission delays and packet dropout compensations24
Degenerate lump interactions within the Kadomtsev–Petviashvili equation24
New discussion regarding approximate controllability for Sobolev-type fractional stochastic hemivariational inequalities of order 24
Self-organizations with fast-slow time scale in a memristor-based Shinriki’s circuit24
Hybrid Taylor and block-pulse functions operational matrix algorithm and its application to obtain the approximate solution of stochastic evolution equation driven by fractional Brownian motion24
Uncertain inverse problem for fractional dynamical systems using perturbed collage theorem24
Plenty of novel interaction structures of soliton molecules and asymmetric solitons to (2 + 1)–dimensional Sawada–Kotera equation24
Nonlinear growth and mathematical modelling of COVID-19 in some African countries with the Atangana–Baleanu fractional derivative24
An integro quadratic spline-based scheme for solving nonlinear fractional stochastic differential equations with constant time delay23
Spatiotemporal dynamics of a diffusive predator-prey model with nonlocal effect and delay23
Effect of hunting cooperation on the dynamic behavior for a diffusive Holling type II predator-prey model23
Epidemic outbreaks with adaptive prevention on complex networks23
On initial conditions for fractional delay differential equations23
Vibration suppression and modal energy transfers in a linear beam with attached vibro-impact nonlinear energy sinks23
CAR T cell therapy in B-cell acute lymphoblastic leukaemia: Insights from mathematical models23
Fractional generalized cumulative entropy and its dynamic version23
Global stability of a delayed adaptive immunity viral infection with two routes of infection and multi-stages of infected cells23
Analysis of a stochastic population model with mean-reverting Ornstein–Uhlenbeck process and Allee effects23
Sliding-mode surface-based approximate optimal control for nonlinear multiplayer Stackelberg-Nash games via adaptive dynamic programming23
Symmetry multi-reduction method for partial differential equations with conservation laws23
Dynamic transport: From bifurcation to multistability23
Impact of co-evolution of negative vaccine-related information, vaccination behavior and epidemic spreading in multilayer networks23
A generalized (1+<22
Analytical study of a pneumatic vibration isolation platform featuring adjustable stiffness22
Dynamics of Lump-periodic, breather and two-wave solutions with the long wave in shallow water under gravity and 2D nonlinear lattice22
A physical interpretation of fractional-order-derivatives in a jerk system: Electronic approach21
Bifurcation analysis of stationary solutions of two-dimensional coupled Gross–Pitaevskii equations using deflated continuation21
Razumikhin qualitative analyses of Volterra integro-fractional delay differential equation with caputo derivatives21
A hybrid impulsive and sampled-data control for fractional-order delayed reaction–diffusion system of mRNA and protein in regulatory mechanisms21
Shunting inhibitory cellular neural networks with strongly unpredictable oscillations21
An extended Kudryashov technique for solving stochastic nonlinear models with generalized conformable derivatives21
Theoretical and numerical analysis of the Landau–Khalatnikov model of ferroelectric hysteresis21
Three-component coupled nonlinear Schrödinger system in a multimode optical fiber: Darboux transformation induced via a rank-two projection matrix21
Inhibitory autapses enhance coherence resonance of a neuronal network21
Transmission dynamics of brucellosis in Jilin province, China: Effects of different control measures21
Two-dimensional vortex quantum droplets get thick21
Numerical integration of third-order singular boundary-value problems of Emden–Fowler type using hybrid block techniques21
Kink-antikink collisions in the periodic φ4 model20
Nonlinear dynamics of new magneto-mechanical oscillator20
Thermal-fluid topology optimization with unconditional energy stability and second-order accuracy via phase-field model20
Research on nonlinear waves of blood flow in arterial vessels20
A multi-prediction implicit scheme for steady state solutions of gas flow in all flow regimes20
Further study of the localized solutions of the (2+1)-dimensional B-Kadomtsev–Petviashvili equation20
Shallow water equations in Lagrangian coordinates: Symmetries, conservation laws and its preservation in difference models20
Propagation properties and radiation forces of the chirped Pearcey Gaussian vortex beam in a medium with a parabolic refractive index20
Network synchronization, stability and rhythmic processes in a diffusive mean-field coupled SEIR model20
Pattern formation in a thermosensitive neural network20
Exponential synchronization of chaotic Lur’e systems with time-triggered intermittent control20
Non-asymptotic and robust estimation for a class of nonlinear fractional-order systems20
Nonlinear forced vibration of a curved micro beam with a surface-mounted light-driven actuator19
On non-uniqueness of recovering Sturm–Liouville operators with delay19
Fractional-order modeling and optimal control of a new online game addiction model based on real data19
Numerical study of the ternary Cahn–Hilliard fluids by using an efficient modified scalar auxiliary variable approach19
Nonlinear modeling and vibration mitigation of combined vortex-induced and base vibrations through energy harvesting absorbers19
Dynamics and control of multidrug-resistant bacterial infection in hospital with multiple delays19
Dynamics of interaction between lumps and solitons in the Mel’nikov equation19
Percolation in multilayer complex networks with connectivity and interdependency topological structures19
Resilient finite-time distributed event-triggered consensus of multi-agent systems with multiple cyber-attacks19
Nonlinear self-adjointness, conserved quantities and Lie symmetry of dust size distribution on a shock wave in quantum dusty plasma19
Dynamic pull-in and oscillations of current-carrying filaments in magnetic micro-electro-mechanical system19
Nonlinear stability issues for stochastic Runge-Kutta methods19
A Framework of Hierarchical Attacks to Network Controllability19
Research on low-temperature blood tissues detection biosensor based on one-dimensional superconducting photonic crystal18
Responses, optimization and prediction of energy harvesters under galloping and base excitations18
Consensus formation in networks with neighbor-dependent synergy and observer effect18
Resonant capture and Sommerfeld effect due to torsional vibrations in a double Cardan joint driveline18
CAR T cells for T-cell leukemias: Insights from mathematical models18
Commutative and associative properties of the Caputo fractional derivative and its generalizing convolution operator18
Spatiotemporal chaos in spatially extended fractional dynamical systems18
Disturbance-term-based switching event-triggered synchronization control of chaotic Lurie systems subject to a joint performance guarantee18
Bifurcation analysis of an ecological model with nonlinear state–dependent feedback control by Poincaré map defined in phase set18
A deep learning improved numerical method for the simulation of rogue waves of nonlinear Schrödinger equation18
Size-dependent nonlinear post-buckling analysis of functionally graded porous Timoshenko microbeam with nonlocal integral models18
A new class of differential nonlinear system involving parabolic variational and history-dependent hemi-variational inequalities arising in contact mechanics18
Assessing the origin and velocity of Ca2+ waves in three-dimensional tissue: Insights from a mathematical model and confocal imaging in mouse pancreas tissue slices18
Delocalized nonlinear vibrational modes in fcc metals18
A numerical method based on the piecewise Jacobi functions for distributed-order fractional Schrödinger equation18
Nonlinear energy harvester with coupled Duffing oscillators18
Noise-induced complex dynamics and synchronization in the map-based Chialvo neuron model18
Rigid-flexible coupling effect on attitude dynamics of electric solar wind sail18
Two-dimensional nonlinear energy sink for effective passive seismic mitigation18
Quality assessment of compressed and resized medical images based on pattern recognition using a convolutional neural network17
Synchronization in fixed/preassigned-time of delayed fully quaternion-valued memristive neural networks via non-separation method17
Periodic bursting behaviors induced by pulse-shaped explosion or non-pulse-shaped explosion in a van der Pol-Mathieu oscillator with external excitation17
Mathematical analysis for stochastic model of Alzheimer’s disease17
Non-fragile extended dissipative synchronization control of delayed uncertain discrete-time neural networks17
Dynamics of a non-smooth type hybrid energy harvester with nonlinear magnetic coupling17
Two-dimensional optical gap solitons and vortices in a coherent atomic ensemble loaded on optical lattices17
Multi-solution phenomena and nonlinear characteristics of tristable galloping energy harvesters with magnetic coupling nonlinearity17
Time-fractional telegraph equation of distributed order in higher dimensions17
Parameter estimation for grey system models: A nonlinear least squares perspective17
Exploring the impact of fractional-order capacitive behavior on the hysteresis effects of perovskite solar cells: A theoretical perspective17
Unconditionally energy stable schemes for fluid-based topology optimization16
Comparison of pandemic intervention policies in several building types using heterogeneous population model16
Chaoticity versus stochasticity in financial markets: Are daily S&P 500 return dynamics chaotic?16
Discontinuity-induced bifurcations in a piecewise-smooth capsule system with bidirectional drifts16
Perfectly matched layer for computing the dynamics of nonlinear Schrödinger equations by pseudospectral methods. Application to rotating Bose-Einstein condensates16
Chaotic discrete breathers and their effect on macroscopic properties of triangular lattice16
Dynamical behavior of a stochastic SIQR epidemic model with Ornstein–Uhlenbeck process and standard incidence rate after dimensionality reduction16
Mean-square contractivity of stochasticϑ-methods16
Numerical analysis of a self-similar turbulent flow in Bose–Einstein condensates16
Dynamic event-triggered control for intra/inter-layer synchronization in multi-layer networks16
Bifurcations and chaos transition of the flow over an airfoil at low Reynolds number varying the angle of attack16
Transport and invariant manifolds near L3 in the Earth-Moon Bicircular model16
Generalization of the algebraic method of group classification with application to nonlinear wave and elliptic equations16
Conditional physics informed neural networks16
Necklace beams carrying fractional angular momentum in fractional systems with a saturable nonlinearity16
Distributed order fractional diffusion equation with fractional Laplacian in axisymmetric cylindrical configuration16
Vibration analysis of a new nonlinear energy sink under impulsive load and harmonic excitation16
Improved ϑ-methods for stochastic Volterra integral equations16
FractionalRLCcircuit in transient and stead16
Dynamics of a seasonal brucellosis disease model with nonlocal transmission and spatial diffusion16
Mathematical modeling and nonlinear vibration analysis of a coupled hydro-generator shaft-foundation system15
Phase engineering of chirped rogue waves in Bose–Einstein condensates with a variable scattering length in an expulsive potential15
Turing patterns in a diffusive Holling–Tanner predator-prey model with an alternative food source for the predator15
Event-triggered group consensus for one-sided Lipschitz multi-agent systems with input saturation15
Four-component integrable hierarchies and their Hamiltonian structures15
Exploring isomerization dynamics on a potential energy surface with an index-2 saddle using lagrangian descriptors15
Galerkin operational approach for multi-dimensions fractional differential equations15
Fractional frequency hybrid model based on EEMD for financial time series forecasting15
Design and modeling of a MEMS accelerometer based on coupled mode-localized nonlinear resonators under electrostatic actuation15
Robust H∞<15
Analysis of traveling waveform of flexible waveguides containing absorbent material along flanged junctions15
Extreme intermodal energy transfers through vibro-impacts for highly effective and rapid blast mitigation15
Mathematical model of brain tumour growth with drug resistance15
Relaxation oscillations in a slow–fast predator–prey model with weak Allee effect and Holling-IV functional response15
Stabilization of stochastic coupled systems with Lévy noise and regime switching diffusions via intermittent control with a time delay15
Implosion of the Argentinian submarine ARA San Juan S-42 undersea: Modeling and simulation15
On numerical approximations of fractional-order spiking neuron models15
Lattice Boltzmann method for fractional Cahn-Hilliard equation15
Linearized compact difference methods combined with Richardson extrapolation for nonlinear delay Sobolev equations15
Fractional-order harmonic resonance in a multi-frequency excited fractional Duffing oscillator with distributed time delay14
Fractional-Order models for the static and dynamic analysis of nonlocal plates14
Novel order-dependent passivity conditions of fractional generalized Cohen–Grossberg neural networks with proportional delays14
A new multi-component integrable coupling and its application to isospectral and nonisospectral problems14
Observation of stochastic resonance for weak periodic magnetic field signal using a chaotic system14
On the use of Jacobi elliptic functions for modelling the response of antisymmetric oscillators with a constant restoring force14
(INVITED) Homoclinic puzzles and chaos in a nonlinear laser model14
Understanding the urban mobility community by taxi travel trajectory14
A kind of nonisospectral and isospectral integrable couplings and their Hamiltonian systems14
Relationship between nonlinear free vibration behavior and nonlinear forced vibration behavior of viscoelastic plates14
Dynamic complexity of a modified Leslie–Gower predator–prey system with fear effect14
Fully decoupled pressure projection scheme for the numerical solution of diffuse interface model of two-phase flow14
Stochastic transitions between in-phase and anti-phase synchronization in coupled map-based neural oscillators14
Solving the chaos model-data paradox in the cryptocurrency market14
Non-constant steady states and Hopf bifurcation of a species interaction model14