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	394
Bäcklund transformation, exact solutions and interaction behaviour of the (3+1)-dimensional Hirota-Satsuma-Ito-like equation	173
Coexisting attractors, circuit implementation and synchronization control of a new chaotic system evolved from the simplest memristor chaotic circuit	136
Hidden attractors and multistability in a modified Chua’s circuit	98
Integrability characteristics of a novel (2+1)-dimensional nonlinear model: Painlevé analysis, soliton solutions, Bäcklund transformation, Lax pair and infinitely many conservation laws	95
Vibration and elastic wave propagation in spatial flexible damping panel attached to four special springs	83
Chaotic dynamics in a neural network with different types of external stimuli	80
Predictability, fast calculation and simulation for the interaction solutions to the cylindrical Kadomtsev-Petviashvili equation	78
New general interaction solutions to the KPI equation via an optional decoupling condition approach	78
Statics and dynamics of a nonlinear oscillator with quasi-zero stiffness behaviour for large deflections	69
Novel evolutionary behaviors of the mixed solutions to a generalized Burgers equation with variable coefficients	68
Global Mittag-Leffler stability analysis of impulsive fractional-order complex-valued BAM neural networks with time varying delays	67
Periodic propagation of complex-valued hyperbolic-cosine-Gaussian solitons and breathers with complicated light field structure in strongly nonlocal nonlinear media	66
New insight into bifurcation of fractional-order 4D neural networks incorporating two different time delays	64
Lump and lump-multi-kink solutions in the (3+1)-dimensions	61
The generalized Duffing oscillator	57
Time delayed chemical synapses and synchronization in multilayer neuronal networks with ephaptic inter-layer coupling	56
Designing continuous delay feedback control for lattice hydrodynamic model under cyber-attacks and connected vehicle environment	56
General fractional calculus and Prabhakar’s theory	56
On the size-dependent nonlinear thermo-electro-mechanical free vibration analysis of functionally graded flexoelectric nano-plate	54
Chaos synchronization in generalized Lorenz systems and an application to image encryption	53
A novel modeling of boundary value problems on the glucose graph	53
PINN deep learning method for the Chen–Lee–Liu equation: Rogue wave on the periodic background	52
Investigation of magneto-electro-thermo-mechanical loads on nonlinear forced vibrations of composite cylindrical shells	52
A lever-enhanced nonlinear energy sink absorber harvesting vibratory energy via giant magnetostrictive-piezoelectricity	51

Variable-order fractional calculus: A change of perspective	50
Adaptive finite-time synchronization control for fractional-order complex-valued dynamical networks with multiple weights	49
On the uncertainty of real-time predictions of epidemic growths: A COVID-19 case study for China and Italy	49
Enhanced vibration isolation performance of quasi-zero-stiffness isolator by introducing tunable nonlinear inerter	49
A new class of nonlinear superposition between lump waves and other waves for Kadomtsev–Petviashvili I equation	49
Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport	49
Investigation of solitons and mixed lump wave solutions with (349
Modeling the impact of SARS-CoV-2 variants and vaccines on the spread of COVID-19	47
Bistability and stochastic jumps in an airfoil system with viscoelastic material property and random fluctuations	47
Lie symmetry analysis, optimal system, new solitary wave solutions and conservation laws of the Pavlov equation	46
Event-triggered synchronization in fixed time for semi-Markov switching dynamical complex networks with multiple weights and discontinuous nonlinearity	46
Optimal control of a fractional order model for granular SEIR epidemic with uncertainty	46
The damping accumulated grey model and its application	45
Optimal Control Strategies of Zika Virus Model with Mutant	45
A bistable nonvolatile locally-active memristor and its complex dynamics	44
The analysis of solitonic, supernonlinear, periodic, quasiperiodic, bifurcation and chaotic patterns of perturbed Gerdjikov–Ivanov model with full nonlinearity	44
An improved car-following model accounting for the time-delayed velocity difference and backward looking effect	43
Solving the Lexicographic Multi-Objective Mixed-Integer Linear Programming Problem using branch-and-bound and grossone methodology	43
A novel discrete grey seasonal model and its applications	43
A novel composite forecasting framework by adaptive data preprocessing and optimized nonlinear grey Bernoulli model for new energy vehicles sales	42
Stability analysis in COVID-19 within-host model with immune response	41
Special types of solitons and breather molecules for a (2+1)-dimensional fifth-order KdV equation	41
Rational solutions for a (3+1)-dimensional nonlinear evolution equation	40
Nonlinear flexure mechanics of mixture unified gradient nanobeams	40
Degeneration of breathers in the Kadomttsev–Petviashvili I equation	40
Survivability and stochastic bifurcations for a stochastic Holling type II predator-prey model	39
Kink-antikink collisions and multi-bounce resonance windows in higher-order field theories	39
Generating grid chaotic sea from system without equilibrium point	39
Global dynamics of a delayed two-patch discrete SIR disease model	39
Elastic collision between one lump wave and multiple stripe waves of nonlinear evolution equations	38
Analysis of mixed traffic with connected and non-connected vehicles based on lattice hydrodynamic model	38
Hidden attractors, singularly degenerate heteroclinic orbits, multistability and physical realization of a new 6D hyperchaotic system	37
Lie symmetry analysis, soliton solutions and qualitative analysis concerning to the generalized q-deformed Sinh-Gordon equation	37
A novel elastic net-based NGBMC(1,n) model with multi-objective optimization for nonlinear time series forecasting	37
A generalized fractional-order Chebyshev wavelet method for two-dimensional distributed-order fractional differential equations	34
Solitonic, super nonlinear, periodic, quasiperiodic, chaotic waves and conservation laws of modified Zakharov-Kuznetsov equation in transmission line	34
On robust stability of incommensurate fractional-order systems	34
Nonlinear size-dependent bending and forced vibration of internal flow-inducing pre- and post-buckled FG nanotubes	34
Excitatory autapse induces different cases of reduced neuronal firing activities near Hopf bifurcation	34
Optimizing elastic potential energy via geometric nonlinear stiffness	33
Solitons in birefringent fibers for CGL equation with Hamiltonian perturbations and Kerr law nonlinearity using modified extended direct algebraic method	33
Pedestrian evacuation under guides in a multiple-exit room via the fuzzy logic method	33
Rogue waves, semirational rogue waves and W-shaped solitons in the three-level coupled Maxwell–Bloch equations	32
Trivariate Mittag-Leffler functions used to solve multi-order systems of fractional differential equations	31
Modelling of both energy and volume conservative chaotic systems and their mechanism analyses	31
Vibration mitigation of a pipe conveying fluid with a passive geometrically nonlinear absorber: a tuning optimal design	30
Adaptive optimized consensus control for a class of nonlinear multi-agent systems with asymmetric input saturation constraints and hybrid faults	30
Linear energy stable and maximum principle preserving semi-implicit scheme for Allen–Cahn equation with double well potential	30
Rumor model on homogeneous social network incorporating delay in expert intervention and government action	30
A nonlinear X-shaped structure based tuned mass damper with multi-variable optimization (X-absorber)	30

Invariant measures for the 3D globally modified Navier–Stokes equations with unbounded variable delays	30
An unconditionally stable second-order accurate method for systems of Cahn–Hilliard equations	30
A fractional-order compartmental model for the spread of the COVID-19 pandemic	29
Event-triggered passivity of multi-weighted coupled delayed reaction-diffusion memristive neural networks with fixed and switching topologies	29
Dynamical analysis and chaos control in discrete-time prey-predator model	28
Generalized dissipativity state estimation for genetic regulatory networks with interval time-delay signals and leakage delays	28
Dynamics of a three-species food chain model with fear effect	28
Simultaneous vibration mitigation and energy harvesting from a pendulum-type absorber	28
A survey on the modeling of hybrid behaviors: How to account for impulsive jumps properly	28
On well-posedness of the sub-diffusion equation with conformable derivative model	28
Event-triggering-based leader-following bounded consensus of multi-agent systems under DoS attacks	27
Synchronization and spatial patterns in a light-dependent neural network	27
Radial solutions of a nonlinear k-Hessian system involving a nonlinear operator	27
A new set and new relations of multiple soliton solutions of (2 + 1)-dimensional Sawada–Kotera equation	27
Certain electromagnetic waves in a ferromagnetic film	27
Synchronization of coupled reaction-diffusion stochastic neural networks with time-varying delay via delay-dependent impulsive pinning control algorithm	26
Detrended fluctuation analysis of cerebrovascular responses to abrupt changes in peripheral arterial pressure in rats	26
A matrix Yajima–Oikawa long-wave-short-wave resonance equation, Darboux transformations and rogue wave solutions	26
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	26
Influence maximization by rumor spreading on correlated networks through community identification	26
Complex-order particle swarm optimization	26
CAPD::DynSys: A flexible C++ toolbox for rigorous numerical analysis of dynamical systems	26
Dynamic analysis on optical pulses via modified PINNs: Soliton solutions, rogue waves and parameter discovery of the CQ-NLSE	26
Convergence of a generalized penalty method for variational–hemivariational inequalities	26
Breather, lump and N-soliton wave solutions of the (2+1)-dimensional coupled nonlinear partial differential equation with variable coefficients	26
Nonlinear vibration of fractional Kelvin–Voigt viscoelastic beam on nonlinear elastic foundation	25
Vector Lyapunov-like functions for multi-order fractional systems with multiple time-varying delays	25
Modulation instability, rogue waves and spectral analysis for the sixth-order nonlinear Schrödinger equation	25
Non-topological kink scattering in a two-component scalar field theory model	25
Regulating synchronous patterns in neurons and networks via field coupling	25
Numerical study on the response scenarios in a vibro-impact single-degree-of-freedom oscillator with two unilateral dissipative and deformable constraints	25
Recurrence plots for characterizing random dynamical systems	25
Numerical approaches to Caputo–Hadamard fractional derivatives with applications to long-term integration of fractional differential systems	25
Dynamical analysis of an optimal velocity model with time-delayed feedback control	25
A combined measure to differentiate EEG signals using fractal dimension and MFDFA-Hurst	24
A fourth-order dissipation-preserving algorithm with fast implementation for space fractional nonlinear damped wave equations	24
An investigation of nonlinear time-fractional anomalous diffusion models for simulating transport processes in heterogeneous binary media	24
Solving coefficient inverse problems for nonlinear singularly perturbed equations of the reaction-diffusion-advection type with data on the position of a reaction front	24
Degenerate lump interactions within the Kadomtsev–Petviashvili equation	23
Effect of flow pulsations on chaos in nanotubes using nonlocal strain gradient theory	23
Filtering properties of Hodgkin–Huxley neuron on different time-scale signals	23
Impulsive and pinning control synchronization of Markovian jumping complex dynamical networks with hybrid coupling and additive interval time-varying delays	23
Creation of heterogeneity or defects in a memristive neural network under energy flow	23
Global stability of a delayed adaptive immunity viral infection with two routes of infection and multi-stages of infected cells	23
Nonlocal operator method for the Cahn-Hilliard phase field model	23
Resonance, fusion and fission dynamics of bifurcation solitons and hybrid rogue wave structures of Sawada–Kotera equation	23
Self-organizations with fast-slow time scale in a memristor-based Shinriki’s circuit	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	22
Adaptive linear second-order energy stable schemes for time-fractional Allen-Cahn equation with volume constraint	22
Symmetry multi-reduction method for partial differential equations with conservation laws	22
Spike-adding structure in fold/hom bursters	22
Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: What could possibly go wrong?	22
Spatiotemporal dynamics of a diffusive predator-prey model with nonlocal effect and delay	22
Dynamics analysis of a hollow-shaft rotor system with an open crack under model uncertainties	22
Analysis of a stochastic population model with mean-reverting Ornstein–Uhlenbeck process and Allee effects	22
Generalized shifted Chebyshev polynomials: Solving a general class of nonlinear variable order fractional PDE	22
Synchronization analysis of two eccentric rotors with double-frequency excitation considering sliding mode control	22
Nonlinear growth and mathematical modelling of COVID-19 in some African countries with the Atangana–Baleanu fractional derivative	22
Turing-Hopf bifurcation of reaction-diffusion neural networks with leakage delay	21
An integro quadratic spline-based scheme for solving nonlinear fractional stochastic differential equations with constant time delay	21
Wave propagation of resonance multi-stripes, complexitons, and lump and its variety interaction solutions to the (2+1)-dimensional pKP equation	21
On initial conditions for fractional delay differential equations	21
Three-component coupled nonlinear Schrödinger system in a multimode optical fiber: Darboux transformation induced via a rank-two projection matrix	21
Uncertain inverse problem for fractional dynamical systems using perturbed collage theorem	21
Fractional generalized cumulative entropy and its dynamic version	21
Stochastic resonance in a delay-controlled dissipative bistable potential for weak signal enhancement	21
Plenty of novel interaction structures of soliton molecules and asymmetric solitons to (2 + 1)–dimensional Sawada–Kotera equation	21
Computation of periodic orbits for piecewise linear oscillator by Harmonic Balance Methods	21
A physical interpretation of fractional-order-derivatives in a jerk system: Electronic approach	20
An extended Kudryashov technique for solving stochastic nonlinear models with generalized conformable derivatives	20
Shallow water equations in Lagrangian coordinates: Symmetries, conservation laws and its preservation in difference models	20
Kink-antikink collisions in the periodic φ4 model	20
Dynamics of Lump-periodic, breather and two-wave solutions with the long wave in shallow water under gravity and 2D nonlinear lattice	20
Effect of hunting cooperation on the dynamic behavior for a diffusive Holling type II predator-prey model	20
Linear and nonlinear free vibration analysis of functionally graded porous nanobeam using stress-driven nonlocal integral model	20
Dynamics analysis of a Filippov pest control model with time delay	20
Inhibitory autapses enhance coherence resonance of a neuronal network	20
Vibration suppression and modal energy transfers in a linear beam with attached vibro-impact nonlinear energy sinks	20
Dynamic transport: From bifurcation to multistability	20
Network synchronization, stability and rhythmic processes in a diffusive mean-field coupled SEIR model	20

Impact of co-evolution of negative vaccine-related information, vaccination behavior and epidemic spreading in multilayer networks	20
CAR T cell therapy in B-cell acute lymphoblastic leukaemia: Insights from mathematical models	19
New discussion regarding approximate controllability for Sobolev-type fractional stochastic hemivariational inequalities of order 19
A multi-prediction implicit scheme for steady state solutions of gas flow in all flow regimes	19
A hybrid impulsive and sampled-data control for fractional-order delayed reaction–diffusion system of mRNA and protein in regulatory mechanisms	19
Shunting inhibitory cellular neural networks with strongly unpredictable oscillations	19
A generalized (1+<	19
Non-asymptotic and robust estimation for a class of nonlinear fractional-order systems	19
Propagation properties and radiation forces of the chirped Pearcey Gaussian vortex beam in a medium with a parabolic refractive index	19
Analytical study of a pneumatic vibration isolation platform featuring adjustable stiffness	19
Theoretical and numerical analysis of the Landau–Khalatnikov model of ferroelectric hysteresis	19
Resilient distributed secure consensus control for uncertain networked agent systems under hybrid DoS attacks	19
Bifurcation analysis of stationary solutions of two-dimensional coupled Gross–Pitaevskii equations using deflated continuation	19
Two-dimensional vortex quantum droplets get thick	19
Razumikhin qualitative analyses of Volterra integro-fractional delay differential equation with caputo derivatives	19
Wideband energy harvesting using nonlinear energy sink with bio-inspired hexagonal skeleton structure	19
Nonlinear bending of functionally graded sandwich plates under mechanical and thermal load	19
Dynamics and control of multidrug-resistant bacterial infection in hospital with multiple delays	19
Transmission dynamics of brucellosis in Jilin province, China: Effects of different control measures	19
A deep learning improved numerical method for the simulation of rogue waves of nonlinear Schrödinger equation	18
Spatiotemporal chaos in spatially extended fractional dynamical systems	18
Nonlinear stability issues for stochastic Runge-Kutta methods	18
The Riemann–Hilbert approach for the higher-order Gerdjikov–Ivanov equation, soliton interactions and position shift	18
Numerical integration of third-order singular boundary-value problems of Emden–Fowler type using hybrid block techniques	18
Dynamics of interaction between lumps and solitons in the Mel’nikov equation	18
Epidemic outbreaks with adaptive prevention on complex networks	18
Nonlinear modeling and vibration mitigation of combined vortex-induced and base vibrations through energy harvesting absorbers	18
Distributed optimal fusion filtering for singular systems with random transmission delays and packet dropout compensations	18
Resilient finite-time distributed event-triggered consensus of multi-agent systems with multiple cyber-attacks	18
Local stability and stabilization of uncertain nonlinear systems with two additive time-varying delays	18
Research on nonlinear waves of blood flow in arterial vessels	18
Numerical study of the ternary Cahn–Hilliard fluids by using an efficient modified scalar auxiliary variable approach	18
Nonlinear forced vibration of a curved micro beam with a surface-mounted light-driven actuator	17
Rigid-flexible coupling effect on attitude dynamics of electric solar wind sail	17
Key aspects for effective mathematical modelling of fractional-diffusion in cardiac electrophysiology: A quantitative study	17
Consensus formation in networks with neighbor-dependent synergy and observer effect	17
Percolation in multilayer complex networks with connectivity and interdependency topological structures	17
Pattern formation in a thermosensitive neural network	17
Nonlinear self-adjointness, conserved quantities and Lie symmetry of dust size distribution on a shock wave in quantum dusty plasma	17
Exponential synchronization of chaotic Lur’e systems with time-triggered intermittent control	17
Regular and chaotic Rayleigh-Bénard convective motions in methanol and water	17
Exploring the impact of fractional-order capacitive behavior on the hysteresis effects of perovskite solar cells: A theoretical perspective	17
Further study of the localized solutions of the (2+1)-dimensional B-Kadomtsev–Petviashvili equation	17
Nonlinear dynamics of new magneto-mechanical oscillator	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
Disturbance-term-based switching event-triggered synchronization control of chaotic Lurie systems subject to a joint performance guarantee	17
On explicit exact solutions and conservation laws for time fractional variable - coefficient coupled Burger’s equations	17
Bifurcation analysis of an ecological model with nonlinear state–dependent feedback control by Poincaré map defined in phase set	16
Comparison of pandemic intervention policies in several building types using heterogeneous population model	16
Commutative and associative properties of the Caputo fractional derivative and its generalizing convolution operator	16
CAR T cells for T-cell leukemias: Insights from mathematical models	16
FractionalRLCcircuit in transient and stead	16
Dynamics of a seasonal brucellosis disease model with nonlocal transmission and spatial diffusion	16
A Framework of Hierarchical Attacks to Network Controllability	16
Size-dependent nonlinear post-buckling analysis of functionally graded porous Timoshenko microbeam with nonlocal integral models	16
Research on low-temperature blood tissues detection biosensor based on one-dimensional superconducting photonic crystal	16
Transport and invariant manifolds near L3 in the Earth-Moon Bicircular model	16
Two-dimensional optical gap solitons and vortices in a coherent atomic ensemble loaded on optical lattices	16
A numerical method based on the piecewise Jacobi functions for distributed-order fractional Schrödinger equation	16
A new class of differential nonlinear system involving parabolic variational and history-dependent hemi-variational inequalities arising in contact mechanics	16
Dynamics of a non-smooth type hybrid energy harvester with nonlinear magnetic coupling	16
Multidimensional scaling and visualization of patterns in prime numbers	16
Non-fragile extended dissipative synchronization control of delayed uncertain discrete-time neural networks	15
Hopf-Zero singularities truly unfold chaos	15
Synchronization in fixed/preassigned-time of delayed fully quaternion-valued memristive neural networks via non-separation method	15
Resonant capture and Sommerfeld effect due to torsional vibrations in a double Cardan joint driveline	15
Improved ϑ-methods for stochastic Volterra integral equations	15
Dynamic pull-in and oscillations of current-carrying filaments in magnetic micro-electro-mechanical system	15
Numerical analysis of a self-similar turbulent flow in Bose–Einstein condensates	15
Mean-square contractivity of stochasticϑ-methods	15
Time-fractional telegraph equation of distributed order in higher dimensions	15
Formation of spiral wave in Hodgkin-Huxley neuron networks with Gamma-distributed synaptic input	15
On non-uniqueness of recovering Sturm–Liouville operators with delay	15
Phase engineering of chirped rogue waves in Bose–Einstein condensates with a variable scattering length in an expulsive potential	15
Perfectly matched layer for computing the dynamics of nonlinear Schrödinger equations by pseudospectral methods. Application to rotating Bose-Einstein condensates	15
Thermal-fluid topology optimization with unconditional energy stability and second-order accuracy via phase-field model	15
Exploring isomerization dynamics on a potential energy surface with an index-2 saddle using lagrangian descriptors	15
Time-frequency analysis of a new aperiodic resonance	15
Fractional frequency hybrid model based on EEMD for financial time series forecasting	15
Breather and solitons waves in optical fibers via exponential time differencing method	15
(INVITED) Resonances in the Earth’s space environment	15
Periodic bursting behaviors induced by pulse-shaped explosion or non-pulse-shaped explosion in a van der Pol-Mathieu oscillator with external excitation	15
A memetic algorithm for solving optimal control problems of Zika virus epidemic with equilibriums and backward bifurcation analysis	15
Mathematical analysis for stochastic model of Alzheimer’s disease	15
Two-dimensional nonlinear energy sink for effective passive seismic mitigation	14
Dynamical behavior of a stochastic SIQR epidemic model with Ornstein–Uhlenbeck process and standard incidence rate after dimensionality reduction	14
Chaotic discrete breathers and their effect on macroscopic properties of triangular lattice	14
Mathematical model of brain tumour growth with drug resistance	14
Delocalized nonlinear vibrational modes in fcc metals	14
Generalization of the algebraic method of group classification with application to nonlinear wave and elliptic equations	14
Linearized compact difference methods combined with Richardson extrapolation for nonlinear delay Sobolev equations	14
A new model for analyzing the vibration behaviors of rotor-bearing system	14
Fractional-order modeling and optimal control of a new online game addiction model based on real data	14
On the pricing of multi-asset options under jump-diffusion processes using meshfree moving least-squares approximation	14
Nonlinear energy harvester with coupled Duffing oscillators	14