Communications in Nonlinear Science and Numerical Simulation

Article	Citations
Hidden attractors and multistability in a modified Chua’s circuit	107
Integrability characteristics of a novel (2+1)-dimensional nonlinear model: Painlevé analysis, soliton solutions, Bäcklund transformation, Lax pair and infinitely many conservation laws	101
Chaotic dynamics in a neural network with different types of external stimuli	92
Periodic propagation of complex-valued hyperbolic-cosine-Gaussian solitons and breathers with complicated light field structure in strongly nonlocal nonlinear media	89
New general interaction solutions to the KPI equation via an optional decoupling condition approach	80
Predictability, fast calculation and simulation for the interaction solutions to the cylindrical Kadomtsev-Petviashvili equation	78
A novel modeling of boundary value problems on the glucose graph	78
Designing continuous delay feedback control for lattice hydrodynamic model under cyber-attacks and connected vehicle environment	71
New insight into bifurcation of fractional-order 4D neural networks incorporating two different time delays	70
Novel evolutionary behaviors of the mixed solutions to a generalized Burgers equation with variable coefficients	69
Lump and lump-multi-kink solutions in the (3+1)-dimensions	68
PINN deep learning method for the Chen–Lee–Liu equation: Rogue wave on the periodic background	67
Enhanced vibration isolation performance of quasi-zero-stiffness isolator by introducing tunable nonlinear inerter	66
The generalized Duffing oscillator	66
Investigation of magneto-electro-thermo-mechanical loads on nonlinear forced vibrations of composite cylindrical shells	63
Chaos synchronization in generalized Lorenz systems and an application to image encryption	63
Lie symmetry analysis, soliton solutions and qualitative analysis concerning to the generalized q-deformed Sinh-Gordon equation	61
On the size-dependent nonlinear thermo-electro-mechanical free vibration analysis of functionally graded flexoelectric nano-plate	61
The analysis of solitonic, supernonlinear, periodic, quasiperiodic, bifurcation and chaotic patterns of perturbed Gerdjikov–Ivanov model with full nonlinearity	59
Elastic collision between one lump wave and multiple stripe waves of nonlinear evolution equations	58
A lever-enhanced nonlinear energy sink absorber harvesting vibratory energy via giant magnetostrictive-piezoelectricity	58
Anti-disturbance state estimation for PDT-switched RDNNs utilizing time-sampling and space-splitting measurements	56
Variable-order fractional calculus: A change of perspective	56
The damping accumulated grey model and its application	53
A new class of nonlinear superposition between lump waves and other waves for Kadomtsev–Petviashvili I equation	52

Investigation of solitons and mixed lump wave solutions with (351
A novel composite forecasting framework by adaptive data preprocessing and optimized nonlinear grey Bernoulli model for new energy vehicles sales	51
Lie symmetry analysis, optimal system, new solitary wave solutions and conservation laws of the Pavlov equation	51
A novel discrete grey seasonal model and its applications	50
Generating grid chaotic sea from system without equilibrium point	50
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 Strategies of Zika Virus Model with Mutant	49
Event-triggered synchronization in fixed time for semi-Markov switching dynamical complex networks with multiple weights and discontinuous nonlinearity	47
Modeling the impact of SARS-CoV-2 variants and vaccines on the spread of COVID-19	47
Nonlinear flexure mechanics of mixture unified gradient nanobeams	45
Hidden attractors, singularly degenerate heteroclinic orbits, multistability and physical realization of a new 6D hyperchaotic system	44
Stability analysis in COVID-19 within-host model with immune response	44
Analysis of mixed traffic with connected and non-connected vehicles based on lattice hydrodynamic model	43
Special types of solitons and breather molecules for a (2+1)-dimensional fifth-order KdV equation	42
A novel elastic net-based NGBMC(1,n) model with multi-objective optimization for nonlinear time series forecasting	42
Numerical approaches to Caputo–Hadamard fractional derivatives with applications to long-term integration of fractional differential systems	41
Creation of heterogeneity or defects in a memristive neural network under energy flow	41
Dynamic analysis on optical pulses via modified PINNs: Soliton solutions, rogue waves and parameter discovery of the CQ-NLSE	40
Optimizing elastic potential energy via geometric nonlinear stiffness	40
Kink-antikink collisions and multi-bounce resonance windows in higher-order field theories	39
Linear energy stable and maximum principle preserving semi-implicit scheme for Allen–Cahn equation with double well potential	38
Adaptive optimized consensus control for a class of nonlinear multi-agent systems with asymmetric input saturation constraints and hybrid faults	38
A generalized fractional-order Chebyshev wavelet method for two-dimensional distributed-order fractional differential equations	38
Event-triggered prescribed performance adaptive secure control for nonlinear cyber physical systems under denial-of-service attacks	37
Trivariate Mittag-Leffler functions used to solve multi-order systems of fractional differential equations	37
Solitons in birefringent fibers for CGL equation with Hamiltonian perturbations and Kerr law nonlinearity using modified extended direct algebraic method	37
On robust stability of incommensurate fractional-order systems	37
Sliding-mode surface-based approximate optimal control for nonlinear multiplayer Stackelberg-Nash games via adaptive dynamic programming	36
Nonlinear size-dependent bending and forced vibration of internal flow-inducing pre- and post-buckled FG nanotubes	36
A nonlinear X-shaped structure based tuned mass damper with multi-variable optimization (X-absorber)	36
Dynamics of a three-species food chain model with fear effect	35
Simultaneous vibration mitigation and energy harvesting from a pendulum-type absorber	35
A survey on the modeling of hybrid behaviors: How to account for impulsive jumps properly	34
Resonance, fusion and fission dynamics of bifurcation solitons and hybrid rogue wave structures of Sawada–Kotera equation	33
Dynamical analysis and chaos control in discrete-time prey-predator model	33
Rogue waves, semirational rogue waves and W-shaped solitons in the three-level coupled Maxwell–Bloch equations	33
A fractional-order compartmental model for the spread of the COVID-19 pandemic	33
Vibration mitigation of a pipe conveying fluid with a passive geometrically nonlinear absorber: a tuning optimal design	32
Nonlinear vibration of fractional Kelvin–Voigt viscoelastic beam on nonlinear elastic foundation	32
Distributed optimal fusion filtering for singular systems with random transmission delays and packet dropout compensations	32
The Riemann–Hilbert approach for the higher-order Gerdjikov–Ivanov equation, soliton interactions and position shift	32
Resilient distributed secure consensus control for uncertain networked agent systems under hybrid DoS attacks	32
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	32
Radial solutions of a nonlinear k-Hessian system involving a nonlinear operator	32
A new set and new relations of multiple soliton solutions of (2 + 1)-dimensional Sawada–Kotera equation	31
Filtering properties of Hodgkin–Huxley neuron on different time-scale signals	31
Solving coefficient inverse problems for nonlinear singularly perturbed equations of the reaction-diffusion-advection type with data on the position of a reaction front	30
Numerical study on the response scenarios in a vibro-impact single-degree-of-freedom oscillator with two unilateral dissipative and deformable constraints	30
Wideband energy harvesting using nonlinear energy sink with bio-inspired hexagonal skeleton structure	30

Invariant measures for the 3D globally modified Navier–Stokes equations with unbounded variable delays	29
Dynamical analysis of an optimal velocity model with time-delayed feedback control	29
Wave propagation of resonance multi-stripes, complexitons, and lump and its variety interaction solutions to the (2+1)-dimensional pKP equation	29
Synchronization of coupled reaction-diffusion stochastic neural networks with time-varying delay via delay-dependent impulsive pinning control algorithm	28
Computation of periodic orbits for piecewise linear oscillator by Harmonic Balance Methods	28
Certain electromagnetic waves in a ferromagnetic film	28
Recurrence plots for characterizing random dynamical systems	28
CAPD::DynSys: A flexible C++ toolbox for rigorous numerical analysis of dynamical systems	28
Impact of co-evolution of negative vaccine-related information, vaccination behavior and epidemic spreading in multilayer networks	28
Breather, lump and N-soliton wave solutions of the (2+1)-dimensional coupled nonlinear partial differential equation with variable coefficients	27
An integro quadratic spline-based scheme for solving nonlinear fractional stochastic differential equations with constant time delay	27
Adaptive linear second-order energy stable schemes for time-fractional Allen-Cahn equation with volume constraint	27
Effect of hunting cooperation on the dynamic behavior for a diffusive Holling type II predator-prey model	27
Dynamics analysis of a Filippov pest control model with time delay	27
Analysis of a stochastic population model with mean-reverting Ornstein–Uhlenbeck process and Allee effects	27
Complex-order particle swarm optimization	27
CAR T cell therapy in B-cell acute lymphoblastic leukaemia: Insights from mathematical models	27
Linear and nonlinear free vibration analysis of functionally graded porous nanobeam using stress-driven nonlocal integral model	27
Self-organizations with fast-slow time scale in a memristor-based Shinriki’s circuit	27
Regulating synchronous patterns in neurons and networks via field coupling	27
A matrix Yajima–Oikawa long-wave-short-wave resonance equation, Darboux transformations and rogue wave solutions	27
Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: What could possibly go wrong?	26
Spatiotemporal chaos in spatially extended fractional dynamical systems	26
A fourth-order dissipation-preserving algorithm with fast implementation for space fractional nonlinear damped wave equations	26
Synchronization analysis of two eccentric rotors with double-frequency excitation considering sliding mode control	26
Convergence of a generalized penalty method for variational–hemivariational inequalities	26
An investigation of nonlinear time-fractional anomalous diffusion models for simulating transport processes in heterogeneous binary media	26
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	25
Vibration suppression and modal energy transfers in a linear beam with attached vibro-impact nonlinear energy sinks	25
Fractional-order modeling and optimal control of a new online game addiction model based on real data	25
Nonlocal operator method for the Cahn-Hilliard phase field model	25
A generalized (1+<	25
New discussion regarding approximate controllability for Sobolev-type fractional stochastic hemivariational inequalities of order 25
Uncertain inverse problem for fractional dynamical systems using perturbed collage theorem	25
Symmetry multi-reduction method for partial differential equations with conservation laws	25
Analytical study of a pneumatic vibration isolation platform featuring adjustable stiffness	25
Degenerate lump interactions within the Kadomtsev–Petviashvili equation	24
Nonlinear growth and mathematical modelling of COVID-19 in some African countries with the Atangana–Baleanu fractional derivative	24
Multi-solution phenomena and nonlinear characteristics of tristable galloping energy harvesters with magnetic coupling nonlinearity	24
Dynamic transport: From bifurcation to multistability	24
Resilient finite-time distributed event-triggered consensus of multi-agent systems with multiple cyber-attacks	24
Plenty of novel interaction structures of soliton molecules and asymmetric solitons to (2 + 1)–dimensional Sawada–Kotera equation	24
Non-asymptotic and robust estimation for a class of nonlinear fractional-order systems	24
Nonlinear dynamics of new magneto-mechanical oscillator	23
Fractional generalized cumulative entropy and its dynamic version	23
On initial conditions for fractional delay differential equations	23
Dynamics of Lump-periodic, breather and two-wave solutions with the long wave in shallow water under gravity and 2D nonlinear lattice	23
Epidemic outbreaks with adaptive prevention on complex networks	23
Two-dimensional vortex quantum droplets get thick	23
Numerical integration of third-order singular boundary-value problems of Emden–Fowler type using hybrid block techniques	23
Pattern formation in a thermosensitive neural network	22
Research on nonlinear waves of blood flow in arterial vessels	22
Inhibitory autapses enhance coherence resonance of a neuronal network	22
Theoretical and numerical analysis of the Landau–Khalatnikov model of ferroelectric hysteresis	22
Noise-induced complex dynamics and synchronization in the map-based Chialvo neuron model	22
Exponential synchronization of chaotic Lur’e systems with time-triggered intermittent control	22
A multi-prediction implicit scheme for steady state solutions of gas flow in all flow regimes	22
Size-dependent nonlinear post-buckling analysis of functionally graded porous Timoshenko microbeam with nonlocal integral models	21
An extended Kudryashov technique for solving stochastic nonlinear models with generalized conformable derivatives	21
Razumikhin qualitative analyses of Volterra integro-fractional delay differential equation with caputo derivatives	21
A Framework of Hierarchical Attacks to Network Controllability	21
Rigid-flexible coupling effect on attitude dynamics of electric solar wind sail	21
Transmission dynamics of brucellosis in Jilin province, China: Effects of different control measures	21
Percolation in multilayer complex networks with connectivity and interdependency topological structures	21
A hybrid impulsive and sampled-data control for fractional-order delayed reaction–diffusion system of mRNA and protein in regulatory mechanisms	21
A physical interpretation of fractional-order-derivatives in a jerk system: Electronic approach	21
Two-dimensional nonlinear energy sink for effective passive seismic mitigation	21
CAR T cells for T-cell leukemias: Insights from mathematical models	21
Three-component coupled nonlinear Schrödinger system in a multimode optical fiber: Darboux transformation induced via a rank-two projection matrix	21
Nonlinear forced vibration of a curved micro beam with a surface-mounted light-driven actuator	20
Responses, optimization and prediction of energy harvesters under galloping and base excitations	20
Dynamical behavior of a stochastic SIQR epidemic model with Ornstein–Uhlenbeck process and standard incidence rate after dimensionality reduction	20
Propagation properties and radiation forces of the chirped Pearcey Gaussian vortex beam in a medium with a parabolic refractive index	20
Kink-antikink collisions in the periodic φ4 model	20
Further study of the localized solutions of the (2+1)-dimensional B-Kadomtsev–Petviashvili equation	20
Delocalized nonlinear vibrational modes in fcc metals	20
Disturbance-term-based switching event-triggered synchronization control of chaotic Lurie systems subject to a joint performance guarantee	20
Network synchronization, stability and rhythmic processes in a diffusive mean-field coupled SEIR model	20
Non-fragile extended dissipative synchronization control of delayed uncertain discrete-time neural networks	20
Resonant capture and Sommerfeld effect due to torsional vibrations in a double Cardan joint driveline	20

A numerical method based on the piecewise Jacobi functions for distributed-order fractional Schrödinger equation	20
Thermal-fluid topology optimization with unconditional energy stability and second-order accuracy via phase-field model	20
Numerical study of the ternary Cahn–Hilliard fluids by using an efficient modified scalar auxiliary variable approach	20
On non-uniqueness of recovering Sturm–Liouville operators with delay	19
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	19
Bifurcation analysis of an ecological model with nonlinear state–dependent feedback control by Poincaré map defined in phase set	19
Extreme intermodal energy transfers through vibro-impacts for highly effective and rapid blast mitigation	19
Nonlinear self-adjointness, conserved quantities and Lie symmetry of dust size distribution on a shock wave in quantum dusty plasma	19
Consensus formation in networks with neighbor-dependent synergy and observer effect	19
Nonlinear stability issues for stochastic Runge-Kutta methods	19
Relationship between nonlinear free vibration behavior and nonlinear forced vibration behavior of viscoelastic plates	19
Galerkin operational approach for multi-dimensions fractional differential equations	19
Dynamics of interaction between lumps and solitons in the Mel’nikov equation	19
Dynamic pull-in and oscillations of current-carrying filaments in magnetic micro-electro-mechanical system	19
Nonlinear modeling and vibration mitigation of combined vortex-induced and base vibrations through energy harvesting absorbers	19
A new multi-component integrable coupling and its application to isospectral and nonisospectral problems	18
Nonlinear energy harvester with coupled Duffing oscillators	18
Distributed order fractional diffusion equation with fractional Laplacian in axisymmetric cylindrical configuration	18
Vibration analysis of a new nonlinear energy sink under impulsive load and harmonic excitation	18
A new class of differential nonlinear system involving parabolic variational and history-dependent hemi-variational inequalities arising in contact mechanics	18
Perfectly matched layer for computing the dynamics of nonlinear Schrödinger equations by pseudospectral methods. Application to rotating Bose-Einstein condensates	18
Event-triggered group consensus for one-sided Lipschitz multi-agent systems with input saturation	18
Unconditionally energy stable schemes for fluid-based topology optimization	18
A deep learning improved numerical method for the simulation of rogue waves of nonlinear Schrödinger equation	18
Synchronization in fixed/preassigned-time of delayed fully quaternion-valued memristive neural networks via non-separation method	18
Periodic bursting behaviors induced by pulse-shaped explosion or non-pulse-shaped explosion in a van der Pol-Mathieu oscillator with external excitation	18
Two-dimensional optical gap solitons and vortices in a coherent atomic ensemble loaded on optical lattices	18
Dynamics of a seasonal brucellosis disease model with nonlocal transmission and spatial diffusion	18
Bifurcations and nonlinear dynamics of asymmetric tri-stable piezoelectric vibration energy harvesters	18
Dynamic event-triggered control for intra/inter-layer synchronization in multi-layer networks	18
Parameter estimation for grey system models: A nonlinear least squares perspective	18
FractionalRLCcircuit in transient and stead	18
Dynamic complexity of a modified Leslie–Gower predator–prey system with fear effect	17
Comparison of pandemic intervention policies in several building types using heterogeneous population model	17
Numerical analysis of a self-similar turbulent flow in Bose–Einstein condensates	17
Quality assessment of compressed and resized medical images based on pattern recognition using a convolutional neural network	17
Stabilization of stochastic coupled systems with Lévy noise and regime switching diffusions via intermittent control with a time delay	17
Chaotic discrete breathers and their effect on macroscopic properties of triangular lattice	17
Mathematical model of brain tumour growth with drug resistance	17
Four-component integrable hierarchies and their Hamiltonian structures	17
Time-fractional telegraph equation of distributed order in higher dimensions	17
Dynamics of a non-smooth type hybrid energy harvester with nonlinear magnetic coupling	17
Conditional physics informed neural networks	17
Exploring the impact of fractional-order capacitive behavior on the hysteresis effects of perovskite solar cells: A theoretical perspective	17
Nonlinear vibration characteristic of FGM sandwich cylindrical panel with auxetic core subjected to the temperature gradient	17
Chaoticity versus stochasticity in financial markets: Are daily S&P 500 return dynamics chaotic?	17
Relaxation oscillations in a slow–fast predator–prey model with weak Allee effect and Holling-IV functional response	16
Self-localized solitons of a q-deformed quantum system	16
Novel order-dependent passivity conditions of fractional generalized Cohen–Grossberg neural networks with proportional delays	16
Generalization of the algebraic method of group classification with application to nonlinear wave and elliptic equations	16
Necklace beams carrying fractional angular momentum in fractional systems with a saturable nonlinearity	16
Robust H∞<	16
Discontinuity-induced bifurcations in a piecewise-smooth capsule system with bidirectional drifts	16
Improved ϑ-methods for stochastic Volterra integral equations	16
Lattice Boltzmann method for fractional Cahn-Hilliard equation	16
Mean-square contractivity of stochasticϑ-methods	16
The nonlinear mechanisms underlying the various stochastic dynamics evoked from different bursting patterns in a neuronal model	16
Design and modeling of a MEMS accelerometer based on coupled mode-localized nonlinear resonators under electrostatic actuation	16
Implosion of the Argentinian submarine ARA San Juan S-42 undersea: Modeling and simulation	16
Analytical-numerical analysis of closed-form dynamic model of Sayano-Shushenskaya hydropower plant: stability, oscillations, and accident	16
Non-constant steady states and Hopf bifurcation of a species interaction model	16
Fractional-Order models for the static and dynamic analysis of nonlocal plates	15
Understanding the urban mobility community by taxi travel trajectory	15
Riemann–Hilbert problems and soliton solutions for a generalized coupled Sasa–Satsuma equation	15
Emergence of extreme events in coupled systems with time-dependent interactions	15
Rogue breathers and rogue lumps on a background of dark line solitons for the Maccari system	15
Mathematical modeling and nonlinear vibration analysis of a coupled hydro-generator shaft-foundation system	15
Construction and application of exact solutions of the diffusive Lotka–Volterra system: A review and new results	15
Fractional-order harmonic resonance in a multi-frequency excited fractional Duffing oscillator with distributed time delay	15
A nonlinear Chebyshev-based collocation technique to frequency analysis of thermally pre/post-buckled third-order circular sandwich plates	15
Riemann–Hilbert approach for a higher-order Chen–Lee–Liu equation with high-order poles	15
Asymptotic stability and synchronization of fractional delayed memristive neural networks with algebraic constraints	15
Linearized compact difference methods combined with Richardson extrapolation for nonlinear delay Sobolev equations	15
Relaxation modes of a system of diffusion coupled oscillators with delay	15
A test for fractal boundaries based on the basin entropy	15
Phase engineering of chirped rogue waves in Bose–Einstein condensates with a variable scattering length in an expulsive potential	15
Turing patterns in a diffusive Holling–Tanner predator-prey model with an alternative food source for the predator	15
Stochastic transitions between in-phase and anti-phase synchronization in coupled map-based neural oscillators	15
Finite-time synchronization of fractional-order memristive neural networks via feedback and periodically intermittent control	15
A kind of nonisospectral and isospectral integrable couplings and their Hamiltonian systems	15
Analysis of traveling waveform of flexible waveguides containing absorbent material along flanged junctions	15
Positivity preserving logarithmic Euler-Maruyama type scheme for stochastic differential equations	15
Qualitative analysis of exponential power rate fishery model and complex dynamics guided by a discontinuous weighted fishing strategy	15
Design and experimental study of a two-stage nonlinear vibration isolators with quasi-zero stiffness	15
On numerical approximations of fractional-order spiking neuron models	15
(INVITED) Homoclinic puzzles and chaos in a nonlinear laser model	14
Lie group theory, stability analysis with dispersion property, new soliton solutions and conserved quantities of 3D generalized nonlinear wave equation in liquid containing gas bubbles with applicatio	14
Solving the chaos model-data paradox in the cryptocurrency market	14
Bäcklund transformation and localized nonlinear wave solutions of the nonlocal defocusing coupled nonlinear Schrödinger equation	14
A new semi-analytical approach for quasi-periodic vibrations of nonlinear systems	14
Introducing phase jump tracking - a fast method for eigenvalue evaluation of the direct Zakharov-Shabat problem	14
Pinning synchronization of fractional memristor-based neural networks with neutral delays and reaction–diffusion terms	14
On the generalized logistic random differential equation: Theoretical analysis and numerical simulations with real-world data	14
Existence and stability of periodic contrast structure in reaction-advection-diffusion equation with discontinuous reactive and convective terms	14
Observation of stochastic resonance for weak periodic magnetic field signal using a chaotic system	14