Communications in Nonlinear Science and Numerical Simulation

Article	Citations
Mathematical modeling of the spread of the coronavirus disease 2019 (COVID-19) taking into account the undetected infections. The case of China	399
Coexisting attractors, circuit implementation and synchronization control of a new chaotic system evolved from the simplest memristor chaotic circuit	140
Hidden attractors and multistability in a modified Chua’s circuit	101
Integrability characteristics of a novel (2+1)-dimensional nonlinear model: Painlevé analysis, soliton solutions, Bäcklund transformation, Lax pair and infinitely many conservation laws	97
Vibration and elastic wave propagation in spatial flexible damping panel attached to four special springs	84
Chaotic dynamics in a neural network with different types of external stimuli	82
New general interaction solutions to the KPI equation via an optional decoupling condition approach	79
Predictability, fast calculation and simulation for the interaction solutions to the cylindrical Kadomtsev-Petviashvili equation	78
Novel evolutionary behaviors of the mixed solutions to a generalized Burgers equation with variable coefficients	69
Periodic propagation of complex-valued hyperbolic-cosine-Gaussian solitons and breathers with complicated light field structure in strongly nonlocal nonlinear media	68
New insight into bifurcation of fractional-order 4D neural networks incorporating two different time delays	67
Lump and lump-multi-kink solutions in the (3+1)-dimensions	64
The generalized Duffing oscillator	59
Designing continuous delay feedback control for lattice hydrodynamic model under cyber-attacks and connected vehicle environment	58
A novel modeling of boundary value problems on the glucose graph	57
Time delayed chemical synapses and synchronization in multilayer neuronal networks with ephaptic inter-layer coupling	57
PINN deep learning method for the Chen–Lee–Liu equation: Rogue wave on the periodic background	57
On the size-dependent nonlinear thermo-electro-mechanical free vibration analysis of functionally graded flexoelectric nano-plate	55
Investigation of magneto-electro-thermo-mechanical loads on nonlinear forced vibrations of composite cylindrical shells	54
Chaos synchronization in generalized Lorenz systems and an application to image encryption	53
A lever-enhanced nonlinear energy sink absorber harvesting vibratory energy via giant magnetostrictive-piezoelectricity	51
Enhanced vibration isolation performance of quasi-zero-stiffness isolator by introducing tunable nonlinear inerter	51
Variable-order fractional calculus: A change of perspective	50
A new class of nonlinear superposition between lump waves and other waves for Kadomtsev–Petviashvili I equation	50
Adaptive finite-time synchronization control for fractional-order complex-valued dynamical networks with multiple weights	49

Investigation of solitons and mixed lump wave solutions with (349
Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport	49
On the uncertainty of real-time predictions of epidemic growths: A COVID-19 case study for China and Italy	49
Optimal control of a fractional order model for granular SEIR epidemic with uncertainty	48
Bistability and stochastic jumps in an airfoil system with viscoelastic material property and random fluctuations	48
The damping accumulated grey model and its application	47
A bistable nonvolatile locally-active memristor and its complex dynamics	47
Lie symmetry analysis, optimal system, new solitary wave solutions and conservation laws of the Pavlov equation	47
Modeling the impact of SARS-CoV-2 variants and vaccines on the spread of COVID-19	47
The analysis of solitonic, supernonlinear, periodic, quasiperiodic, bifurcation and chaotic patterns of perturbed Gerdjikov–Ivanov model with full nonlinearity	46
Event-triggered synchronization in fixed time for semi-Markov switching dynamical complex networks with multiple weights and discontinuous nonlinearity	46
Optimal Control Strategies of Zika Virus Model with Mutant	45
Lie symmetry analysis, soliton solutions and qualitative analysis concerning to the generalized q-deformed Sinh-Gordon equation	45
A novel discrete grey seasonal model and its applications	44
Generating grid chaotic sea from system without equilibrium point	43
Solving the Lexicographic Multi-Objective Mixed-Integer Linear Programming Problem using branch-and-bound and grossone methodology	43
An improved car-following model accounting for the time-delayed velocity difference and backward looking effect	43
Elastic collision between one lump wave and multiple stripe waves of nonlinear evolution equations	43
A novel composite forecasting framework by adaptive data preprocessing and optimized nonlinear grey Bernoulli model for new energy vehicles sales	43
Stability analysis in COVID-19 within-host model with immune response	42
Special types of solitons and breather molecules for a (2+1)-dimensional fifth-order KdV equation	42
Nonlinear flexure mechanics of mixture unified gradient nanobeams	41
Kink-antikink collisions and multi-bounce resonance windows in higher-order field theories	39
A novel elastic net-based NGBMC(1,n) model with multi-objective optimization for nonlinear time series forecasting	39
Analysis of mixed traffic with connected and non-connected vehicles based on lattice hydrodynamic model	39
Hidden attractors, singularly degenerate heteroclinic orbits, multistability and physical realization of a new 6D hyperchaotic system	38
Solitonic, super nonlinear, periodic, quasiperiodic, chaotic waves and conservation laws of modified Zakharov-Kuznetsov equation in transmission line	37
Solitons in birefringent fibers for CGL equation with Hamiltonian perturbations and Kerr law nonlinearity using modified extended direct algebraic method	36
Nonlinear size-dependent bending and forced vibration of internal flow-inducing pre- and post-buckled FG nanotubes	35
A generalized fractional-order Chebyshev wavelet method for two-dimensional distributed-order fractional differential equations	35
Optimizing elastic potential energy via geometric nonlinear stiffness	35
Excitatory autapse induces different cases of reduced neuronal firing activities near Hopf bifurcation	34
On robust stability of incommensurate fractional-order systems	34
Rogue waves, semirational rogue waves and W-shaped solitons in the three-level coupled Maxwell–Bloch equations	32
Dynamic analysis on optical pulses via modified PINNs: Soliton solutions, rogue waves and parameter discovery of the CQ-NLSE	32
A nonlinear X-shaped structure based tuned mass damper with multi-variable optimization (X-absorber)	32
Trivariate Mittag-Leffler functions used to solve multi-order systems of fractional differential equations	32
Linear energy stable and maximum principle preserving semi-implicit scheme for Allen–Cahn equation with double well potential	32
A fractional-order compartmental model for the spread of the COVID-19 pandemic	31
Modelling of both energy and volume conservative chaotic systems and their mechanism analyses	31
Dynamics of a three-species food chain model with fear effect	31
Vibration mitigation of a pipe conveying fluid with a passive geometrically nonlinear absorber: a tuning optimal design	31
Adaptive optimized consensus control for a class of nonlinear multi-agent systems with asymmetric input saturation constraints and hybrid faults	31
Rumor model on homogeneous social network incorporating delay in expert intervention and government action	30
An unconditionally stable second-order accurate method for systems of Cahn–Hilliard equations	30
Invariant measures for the 3D globally modified Navier–Stokes equations with unbounded variable delays	30
Event-triggering-based leader-following bounded consensus of multi-agent systems under DoS attacks	29
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	29
Event-triggered passivity of multi-weighted coupled delayed reaction-diffusion memristive neural networks with fixed and switching topologies	29
Simultaneous vibration mitigation and energy harvesting from a pendulum-type absorber	29

Dynamical analysis and chaos control in discrete-time prey-predator model	29
Numerical study on the response scenarios in a vibro-impact single-degree-of-freedom oscillator with two unilateral dissipative and deformable constraints	29
Radial solutions of a nonlinear k-Hessian system involving a nonlinear operator	28
Creation of heterogeneity or defects in a memristive neural network under energy flow	28
A survey on the modeling of hybrid behaviors: How to account for impulsive jumps properly	28
Numerical approaches to Caputo–Hadamard fractional derivatives with applications to long-term integration of fractional differential systems	28
Synchronization and spatial patterns in a light-dependent neural network	28
On well-posedness of the sub-diffusion equation with conformable derivative model	28
Certain electromagnetic waves in a ferromagnetic film	28
Generalized dissipativity state estimation for genetic regulatory networks with interval time-delay signals and leakage delays	28
Detrended fluctuation analysis of cerebrovascular responses to abrupt changes in peripheral arterial pressure in rats	27
A new set and new relations of multiple soliton solutions of (2 + 1)-dimensional Sawada–Kotera equation	27
Complex-order particle swarm optimization	27
Nonlinear vibration of fractional Kelvin–Voigt viscoelastic beam on nonlinear elastic foundation	27
Modulation instability, rogue waves and spectral analysis for the sixth-order nonlinear Schrödinger equation	26
Breather, lump and N-soliton wave solutions of the (2+1)-dimensional coupled nonlinear partial differential equation with variable coefficients	26
Synchronization of coupled reaction-diffusion stochastic neural networks with time-varying delay via delay-dependent impulsive pinning control algorithm	26
Convergence of a generalized penalty method for variational–hemivariational inequalities	26
Solving coefficient inverse problems for nonlinear singularly perturbed equations of the reaction-diffusion-advection type with data on the position of a reaction front	26
CAPD::DynSys: A flexible C++ toolbox for rigorous numerical analysis of dynamical systems	26
Non-topological kink scattering in a two-component scalar field theory model	25
An investigation of nonlinear time-fractional anomalous diffusion models for simulating transport processes in heterogeneous binary media	25
A matrix Yajima–Oikawa long-wave-short-wave resonance equation, Darboux transformations and rogue wave solutions	25
Filtering properties of Hodgkin–Huxley neuron on different time-scale signals	25
Regulating synchronous patterns in neurons and networks via field coupling	25
Resonance, fusion and fission dynamics of bifurcation solitons and hybrid rogue wave structures of Sawada–Kotera equation	25
Recurrence plots for characterizing random dynamical systems	25
Dynamical analysis of an optimal velocity model with time-delayed feedback control	25
A fourth-order dissipation-preserving algorithm with fast implementation for space fractional nonlinear damped wave equations	24
A combined measure to differentiate EEG signals using fractal dimension and MFDFA-Hurst	24
Resilient distributed secure consensus control for uncertain networked agent systems under hybrid DoS attacks	24
Impulsive and pinning control synchronization of Markovian jumping complex dynamical networks with hybrid coupling and additive interval time-varying delays	24
Uncertain inverse problem for fractional dynamical systems using perturbed collage theorem	24
Nonlocal operator method for the Cahn-Hilliard phase field model	23
Degenerate lump interactions within the Kadomtsev–Petviashvili equation	23
Computation of periodic orbits for piecewise linear oscillator by Harmonic Balance Methods	23
Dynamics analysis of a Filippov pest control model with time delay	23
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 motion	23
Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: What could possibly go wrong?	23
Wave propagation of resonance multi-stripes, complexitons, and lump and its variety interaction solutions to the (2+1)-dimensional pKP equation	23
New discussion regarding approximate controllability for Sobolev-type fractional stochastic hemivariational inequalities of order 23
Self-organizations with fast-slow time scale in a memristor-based Shinriki’s circuit	23
An integro quadratic spline-based scheme for solving nonlinear fractional stochastic differential equations with constant time delay	23
Spatiotemporal dynamics of a diffusive predator-prey model with nonlocal effect and delay	23
Synchronization analysis of two eccentric rotors with double-frequency excitation considering sliding mode control	23
Global stability of a delayed adaptive immunity viral infection with two routes of infection and multi-stages of infected cells	23
Generalized shifted Chebyshev polynomials: Solving a general class of nonlinear variable order fractional PDE	22
Symmetry multi-reduction method for partial differential equations with conservation laws	22
On initial conditions for fractional delay differential equations	22
Impact of co-evolution of negative vaccine-related information, vaccination behavior and epidemic spreading in multilayer networks	22
Adaptive linear second-order energy stable schemes for time-fractional Allen-Cahn equation with volume constraint	22
Nonlinear growth and mathematical modelling of COVID-19 in some African countries with the Atangana–Baleanu fractional derivative	22
Wideband energy harvesting using nonlinear energy sink with bio-inspired hexagonal skeleton structure	22
Analysis of a stochastic population model with mean-reverting Ornstein–Uhlenbeck process and Allee effects	22
Plenty of novel interaction structures of soliton molecules and asymmetric solitons to (2 + 1)–dimensional Sawada–Kotera equation	22
Linear and nonlinear free vibration analysis of functionally graded porous nanobeam using stress-driven nonlocal integral model	22
Stochastic resonance in a delay-controlled dissipative bistable potential for weak signal enhancement	22
A physical interpretation of fractional-order-derivatives in a jerk system: Electronic approach	21
Dynamics of Lump-periodic, breather and two-wave solutions with the long wave in shallow water under gravity and 2D nonlinear lattice	21
Dynamic transport: From bifurcation to multistability	21
Three-component coupled nonlinear Schrödinger system in a multimode optical fiber: Darboux transformation induced via a rank-two projection matrix	21
Inhibitory autapses enhance coherence resonance of a neuronal network	21
Shunting inhibitory cellular neural networks with strongly unpredictable oscillations	21
CAR T cell therapy in B-cell acute lymphoblastic leukaemia: Insights from mathematical models	21
Vibration suppression and modal energy transfers in a linear beam with attached vibro-impact nonlinear energy sinks	21
Fractional generalized cumulative entropy and its dynamic version	21
Turing-Hopf bifurcation of reaction-diffusion neural networks with leakage delay	21
An extended Kudryashov technique for solving stochastic nonlinear models with generalized conformable derivatives	20
Effect of hunting cooperation on the dynamic behavior for a diffusive Holling type II predator-prey model	20
Razumikhin qualitative analyses of Volterra integro-fractional delay differential equation with caputo derivatives	20
Kink-antikink collisions in the periodic φ4 model	20
Transmission dynamics of brucellosis in Jilin province, China: Effects of different control measures	20
Exponential synchronization of chaotic Lur’e systems with time-triggered intermittent control	20
Network synchronization, stability and rhythmic processes in a diffusive mean-field coupled SEIR model	20
Analytical study of a pneumatic vibration isolation platform featuring adjustable stiffness	20
Distributed optimal fusion filtering for singular systems with random transmission delays and packet dropout compensations	20
Bifurcation analysis of stationary solutions of two-dimensional coupled Gross–Pitaevskii equations using deflated continuation	20
Shallow water equations in Lagrangian coordinates: Symmetries, conservation laws and its preservation in difference models	20
A hybrid impulsive and sampled-data control for fractional-order delayed reaction–diffusion system of mRNA and protein in regulatory mechanisms	20
Theoretical and numerical analysis of the Landau–Khalatnikov model of ferroelectric hysteresis	20

Epidemic outbreaks with adaptive prevention on complex networks	19
Nonlinear modeling and vibration mitigation of combined vortex-induced and base vibrations through energy harvesting absorbers	19
Nonlinear bending of functionally graded sandwich plates under mechanical and thermal load	19
A generalized (1+<	19
Propagation properties and radiation forces of the chirped Pearcey Gaussian vortex beam in a medium with a parabolic refractive index	19
Numerical integration of third-order singular boundary-value problems of Emden–Fowler type using hybrid block techniques	19
The Riemann–Hilbert approach for the higher-order Gerdjikov–Ivanov equation, soliton interactions and position shift	19
Further study of the localized solutions of the (2+1)-dimensional B-Kadomtsev–Petviashvili equation	19
Two-dimensional vortex quantum droplets get thick	19
Non-asymptotic and robust estimation for a class of nonlinear fractional-order systems	19
A multi-prediction implicit scheme for steady state solutions of gas flow in all flow regimes	19
Dynamics and control of multidrug-resistant bacterial infection in hospital with multiple delays	19
Dynamics of interaction between lumps and solitons in the Mel’nikov equation	18
Research on nonlinear waves of blood flow in arterial vessels	18
Nonlinear forced vibration of a curved micro beam with a surface-mounted light-driven actuator	18
Resilient finite-time distributed event-triggered consensus of multi-agent systems with multiple cyber-attacks	18
Nonlinear dynamics of new magneto-mechanical oscillator	18
Pattern formation in a thermosensitive neural network	18
Spatiotemporal chaos in spatially extended fractional dynamical systems	18
Nonlinear stability issues for stochastic Runge-Kutta methods	18
Size-dependent nonlinear post-buckling analysis of functionally graded porous Timoshenko microbeam with nonlocal integral models	18
Consensus formation in networks with neighbor-dependent synergy and observer effect	18
A deep learning improved numerical method for the simulation of rogue waves of nonlinear Schrödinger equation	18
Numerical study of the ternary Cahn–Hilliard fluids by using an efficient modified scalar auxiliary variable approach	18
Commutative and associative properties of the Caputo fractional derivative and its generalizing convolution operator	17
Key aspects for effective mathematical modelling of fractional-diffusion in cardiac electrophysiology: A quantitative study	17
Disturbance-term-based switching event-triggered synchronization control of chaotic Lurie systems subject to a joint performance guarantee	17
Nonlinear energy harvester with coupled Duffing oscillators	17
Percolation in multilayer complex networks with connectivity and interdependency topological structures	17
Nonlinear self-adjointness, conserved quantities and Lie symmetry of dust size distribution on a shock wave in quantum dusty plasma	17
A new class of differential nonlinear system involving parabolic variational and history-dependent hemi-variational inequalities arising in contact mechanics	17
Dynamics of a non-smooth type hybrid energy harvester with nonlinear magnetic coupling	17
A numerical method based on the piecewise Jacobi functions for distributed-order fractional Schrödinger equation	17
Mathematical analysis for stochastic model of Alzheimer’s disease	17
Rigid-flexible coupling effect on attitude dynamics of electric solar wind sail	17
Assessing the origin and velocity of Ca2+ waves in three-dimensional tissue: Insights from a mathematical model and confocal imaging in mouse pancreas tissue slices	17
Thermal-fluid topology optimization with unconditional energy stability and second-order accuracy via phase-field model	17
A Framework of Hierarchical Attacks to Network Controllability	17
Exploring the impact of fractional-order capacitive behavior on the hysteresis effects of perovskite solar cells: A theoretical perspective	17
Improved ϑ-methods for stochastic Volterra integral equations	16
Fractional-order modeling and optimal control of a new online game addiction model based on real data	16
Comparison of pandemic intervention policies in several building types using heterogeneous population model	16
Synchronization in fixed/preassigned-time of delayed fully quaternion-valued memristive neural networks via non-separation method	16
Research on low-temperature blood tissues detection biosensor based on one-dimensional superconducting photonic crystal	16
Delocalized nonlinear vibrational modes in fcc metals	16
FractionalRLCcircuit in transient and stead	16
Chaotic discrete breathers and their effect on macroscopic properties of triangular lattice	16
Dynamics of a seasonal brucellosis disease model with nonlocal transmission and spatial diffusion	16
Resonant capture and Sommerfeld effect due to torsional vibrations in a double Cardan joint driveline	16
CAR T cells for T-cell leukemias: Insights from mathematical models	16
Two-dimensional optical gap solitons and vortices in a coherent atomic ensemble loaded on optical lattices	16
Transport and invariant manifolds near L3 in the Earth-Moon Bicircular model	16
Bifurcation analysis of an ecological model with nonlinear state–dependent feedback control by Poincaré map defined in phase set	16
Dynamic pull-in and oscillations of current-carrying filaments in magnetic micro-electro-mechanical system	16
Noise-induced complex dynamics and synchronization in the map-based Chialvo neuron model	16
Two-dimensional nonlinear energy sink for effective passive seismic mitigation	16
Perfectly matched layer for computing the dynamics of nonlinear Schrödinger equations by pseudospectral methods. Application to rotating Bose-Einstein condensates	16
Periodic bursting behaviors induced by pulse-shaped explosion or non-pulse-shaped explosion in a van der Pol-Mathieu oscillator with external excitation	16
Non-fragile extended dissipative synchronization control of delayed uncertain discrete-time neural networks	15
Hopf-Zero singularities truly unfold chaos	15
Fractional frequency hybrid model based on EEMD for financial time series forecasting	15
Chaoticity versus stochasticity in financial markets: Are daily S&P 500 return dynamics chaotic?	15
(INVITED) Resonances in the Earth’s space environment	15
A memetic algorithm for solving optimal control problems of Zika virus epidemic with equilibriums and backward bifurcation analysis	15
Numerical analysis of a self-similar turbulent flow in Bose–Einstein condensates	15
Time-fractional telegraph equation of distributed order in higher dimensions	15
Time-frequency analysis of a new aperiodic resonance	15
On non-uniqueness of recovering Sturm–Liouville operators with delay	15
Parameter estimation for grey system models: A nonlinear least squares perspective	15
On numerical approximations of fractional-order spiking neuron models	15
Necklace beams carrying fractional angular momentum in fractional systems with a saturable nonlinearity	15
Mean-square contractivity of stochasticϑ-methods	15
A simple extended compact nonlinear scheme with adaptive dissipation control	15
Distributed order fractional diffusion equation with fractional Laplacian in axisymmetric cylindrical configuration	15
Phase engineering of chirped rogue waves in Bose–Einstein condensates with a variable scattering length in an expulsive potential	15
Breather and solitons waves in optical fibers via exponential time differencing method	15
Turing patterns in a diffusive Holling–Tanner predator-prey model with an alternative food source for the predator	15
Generalization of the algebraic method of group classification with application to nonlinear wave and elliptic equations	15
Exploring isomerization dynamics on a potential energy surface with an index-2 saddle using lagrangian descriptors	15
Mathematical modeling and nonlinear vibration analysis of a coupled hydro-generator shaft-foundation system	14
On the use of Jacobi elliptic functions for modelling the response of antisymmetric oscillators with a constant restoring force	14
Discontinuity-induced bifurcations in a piecewise-smooth capsule system with bidirectional drifts	14
Dynamical behavior of a stochastic SIQR epidemic model with Ornstein–Uhlenbeck process and standard incidence rate after dimensionality reduction	14
Solving the chaos model-data paradox in the cryptocurrency market	14
Linearized compact difference methods combined with Richardson extrapolation for nonlinear delay Sobolev equations	14
Robust H∞<	14
Bifurcations and chaos transition of the flow over an airfoil at low Reynolds number varying the angle of attack	14
Fractional-Order models for the static and dynamic analysis of nonlocal plates	14
On the pricing of multi-asset options under jump-diffusion processes using meshfree moving least-squares approximation	14
Extreme intermodal energy transfers through vibro-impacts for highly effective and rapid blast mitigation	14
Statistical properties of the detrended multiple cross-correlation coefficient	14
Fractional-order harmonic resonance in a multi-frequency excited fractional Duffing oscillator with distributed time delay	14
(INVITED) Homoclinic puzzles and chaos in a nonlinear laser model	14
Mathematical model of brain tumour growth with drug resistance	14
A regime switching fractional Black–Scholes model and European option pricing	14