Nonlinear Dynamics

Article	Citations
Pressure-induced nonlinear resonance frequency changes for extracting Young’s modulus of nanodrums	180
Robotic controller design for sporadic events using large deviations theory	159
Coherent structures of lump-soliton for the PT-symmetric nonlocal Davey-Stewartson III equation on a background of constant or periodic line waves	140
Dynamic analysis of a diabetes mathematical model including heredity parameter and multiple time delays	133
Numerical study of wave disturbances of the high order nonlinear Boussinesq equations arising in engineering	131
Bifurcation analysis for the discretized-fractionalized Holling type-IV predator–prey system	129
Integration of Hamiltonian equations with two degrees of freedom for a truncated normal form at 2:1 resonance	127
Vortex light bullets in a twisted cold atomic system with $$\mathcal{P}\mathcal{T}$$-symmetric anharmonic potential	121
Synchronization and stability characteristics of a double-pendulum coupling vibrating system driven by two vibrators	117
Research on microscopic traffic flow modeling and energy characteristics in the energy-saving driving environment	116
Global tracking control of flexible joint robots via barrier function-based filters	113
Weak solutions and symbolic verification of peakon structures in higher-order b-family Novikov equations	112
Application of weighted iterative autocorrelation coefficient and stochastic hopfield network in bearing fault detection under variable speed conditions	110
Kernel methods for regression in continuous time over subsets and manifolds	106
Transmission model and optimal control strategy of the fifth wave of COVID-19 in hong kong with age-heterogeneity	105
Nonlinear tunnelling of 3D partially nonlocal nonautonomous nondegenerate vector solitons in a linear external potential	104
Secure finite-time filtering for switched fuzzy systems with scaling attacks and stochastic sensor faults	103
Model-free group consensus of multi-agent systems using critic-only reinforcement learning	103
Identification of friction in joints for multibody dynamics: a Neural-DAE based approach	102
Lifelong neural learning control for MIMO nonlinear systems in multi-task environment	102
Reservoir computing as digital twins for controlling nonlinear dynamical systems	97
Fingerprints of body dysmorphic disorder in functional brain networks	96
Event-triggered adaptive tracking control for uncertain nonlinear systems with preassigned prescribed performance constraints under three cases	96
Predefined-time VFO control design for unicycle-like mobile robots	95
SMDO-based nested controller design for PMSM drive system with input saturation	93

Correction to: Uncertainty-corrected fractional generalized Pareto motion for lithium-ion battery life prediction and value-at-risk-based maintenance framework	92
Epistemic stability and nonlinear dynamics in selection of suboptimal cluster counts in medical images validation dataset as a cluster homogeneity measure	90
Capability verification and error source investigation of external force sensing methods of continuum robot	87
Optical soliton solutions via the Biswas–Milovic equation: Quasi-periodic behavior, sensitivity, and bifurcation	86
An energy flow analysis for multibody dynamic behavior of cable-membrane system	86
Quantized event-triggered-based finite-time $$\text {H}_\infty $$ control for interval type-2 fuzzy Markov jump systems with random coupling delays	84
Stroboscopic control and tracking of periodic states	83
Load adaptivity of the mem-spring and its performance benefits in vehicle suspensions	82
The centered alignment multikernel nonhomogeneous gray model and its application	81
Jacobi elliptic function solutions and bifurcation analysis of (2+1)-dimensional resonant Davey–Stewartson equations	80
Formation control of networked mobile robots with weighted directed topology using the Udwadia–Kalaba approach	79
Wronskian and rational solutions of a $$(2+1)$$-dimensional nonlinear evolution equation with time-dependent coefficients	78
Dynamics of excited piecewise linear oscillators	78
Quantization-based tracking control for fuzzy singularly perturbed Markov jump systems with incomplete transition information and packet dropout	77
Extension of the bouncing ball model to a vibratory conveying system	77
Sensitivity analysis of the rotor-bearing system with fractional power nonlinearity using multicomplex variable derivation	77
Oceanic internal solitary wave interactions via the KP equation in a three-layer fluid with shear flow	76
Lump solution, lump-stripe solution, rogue wave solution and periodic solution of the (2 + 1)-dimensional Fokas system	76
Frequency-response curves for rate-independent hysteretic mechanical responses of complex shape	76
Dynamic output feedback control for fractional-order delayed systems subject to actuator saturation	76
Lyapunov functions and regions of attraction for spherically constrained relative orbital motion	75
A scaling law approach to rate fabrication tolerances of double-sided electrostatic actuators	73
Integral of motion and nonlinear dynamics of three Duffing oscillators with weak or strong bidirectional coupling	72
Regularised Volterra series models for modelling of nonlinear self-excited forces on bridge decks	72
Bursting dynamics induced by amplitude-modulated excitation in the composite nonlinear oscillator	71
From Gauss–Newton method solving nonlinear least squares problem of static overdetermined system to multi-instant neurodynamic algorithms handling future time-variant situation	71
A novel explainable fault diagnosis model for homogenization process using probabilistic Boolean network	71
Event-triggered predefined-time adaptive consensus control for stochastic multi-agent systems	70
Nonlinear effects of actuator rate and acceleration limits on closed-loop systems: a describing function approach	69
Mitigation of vortex-induced vibrations in transmission lines via a nonlinear moving absorber	69
Adaptive image-based visual servoing control of excavators with hydraulic actuator dynamics	68
An adaptive finite-time formation control against actuator attacks in nonlinear singular multiagent systems	68
Bifurcation scenarios in the hardware-in-the-loop experiments of highly interrupted milling processes	68
Robust formation shape control for fixed-wing unmanned aerial vehicles with relative pose measurement	68
An improved methodology to restrict the range of motion of mechanical joints	67
A new hysteresis model based on Weibull cumulative distribution function and Jiles–Atherton hysteresis model	67
Time series classification of dynamical systems using deterministic learning	67
Precise impact time and angle guidance strategy under time-varying velocity	67
A spacetime variational integration approach to the full discretization of flexible beams based on absolute nodal coordinate formulation	66
On subspace harmonic expansion to efficiently capture global periodic responses of nonlinear dynamical systems in neural network framework	65
Nonlinear free vibration analysis of doubly curved shells	65
Fast and modular whole-body Lagrangian dynamics of legged robots with changing morphology	65
Numerical study of heat transfer in a 3D triangular prism with a rotating cylinder using ternary hybrid nanofluids and a new regression model	65
Study on transient dynamics of the pyrotechnic-driven large flexible expansion mechanism	64
Migration-connected networks of Lotka–Volterra and quasi-polynomial systems: modeling and decentralized control	63
Mathematical modeling the dynamics of SARS-CoV-2 infection with antibody-dependent enhancement	62
Continuation of periodic orbits in conservative hybrid dynamical systems and its application to mechanical systems with impulsive dynamics	62
Bifurcation analysis of period-1 attractors in a soft impacting oscillator	61
Nonlinear and chaotic behavior in spatial vibration signal of cone valve core	61
Adaptive asymptotic stabilization of uncertain nonstrict feedback nonlinear HOFA systems with time delays	61

How a ball free to orbit in a circular track mitigates the galloping of a square prism	60
IRLTS rumor propagation model considering the influence of lurking psychology and the truth of rumors	60
Experimental and numerical investigation on the relationship between stick–slip vibration and rate of penetration	60
Performance degradation in locally resonant metamaterials due to dead-zone nonlinearity	59
Robust adaptive formation control for nonlinear multi-agent systems with range constraints	58
Inductor-stabilized charge-controlled memristor neuromorphic circuit design with complex firing dynamics	58
Deeponet with a modified FNO branch network based on nonuniform Fourier transform for irregular input grids	58
Wronskian $$\pmb {N}$$-soliton solutions to a generalized KdV equation in ($$\pmb {2+1}$$)-dimensions	58
Two-variable boosting bifurcation in a hyperchaotic map and its hardware implementation	58
A semi-analytical solution in time domain for evaluating the nonlinear normal modes of a cantilever beam with a tip nonlinearity	57
Double-layer game-based optimal event-triggered consensus control for stochastic multiagent systems against deception attacks	57
Vibration reduction characteristics of nonlinear energy sink with segmented cubic stiffness under forced excitation	57
Model reduction of rotor-foundation systems using the approximate invariant manifold method	57
Dynamical analysis and accelerated adaptive backstepping control of MEMS triaxial gyroscope with output constraints	56
Stochastic response analysis of a galloping energy harvesting system under Gaussian white noise excitations	56
Design of a new quasi-zero-stiffness isolator system with nonlinear positive stiffness configuration and its novel features	56
A novel reservoir computing for inferring hyperchaotic systems from partial observation	56
Regime transition and multi-scroll hyperchaos in a discrete neuron model	55
Cubic-quartic optical solitons of the complex Ginzburg-Landau equation: A novel approach	55
Non-uniform wear evolution of gear tooth surface under complicated excitations in a locomotive	55
A multi-image encryption scheme for gray-color images based on 2D chaotic map and dual S-boxes	55
Characterization and vibration control of a magnetorheological damper-based tail support for wind tunnel tests	55
Data-driven fault-tolerant path-following control for USV based on fixed-time guidance and fuzzy disturbance observer	54
Regulation-aware cooperative path following control of maritime autonomous surface ships with fully unknown model parameters	54
How the reversible change of contact networks affects the epidemic spreading	54
Analyzing N-solitons, breathers, and hybrid interactions: comparisons of localized wave dynamics through data points	54
Spatiotemporal dynamics in discrete memristive Josephson junction array with electric and magnetic couplings under a controllable energy injection	53
A novel distributed Kalman filtering for health state recognition of aero-engine components in networked control systems	53
Fractional Julia sets with short memory	53
Mitigation of vortex-induced vibration using the ball vibration absorber	53
Heterogeneous and homogeneous extreme multi-stabilities in Josephson junction-based dynamical system	53
Breather and lump-periodic wave solutions to a system of nonlinear wave model arising in fluid mechanics	53
Spontaneous symmetry breaking induced by interaction in linearly coupled binary Bose–Einstein condensates	53
Epidemic control under hidden transmission and network heterogeneity using individual-based modeling and reinforcement learning	52
Fully actuated system approach to robust control for uncertain active suspension systems	52
Fixed-time sliding mode trajectory tracking control for marine surface vessels with input saturation and prescribed performance constraints	52
Dynamical analysis of an improved FitzHugh-Nagumo neuron model with multiplier-free implementation	51
Analytical approach for nonlinear vibration response of the thin cylindrical shell with a straight crack	51
Nonlinear vibration of a cantilever bistable symmetric laminate using a SDOF model	51
A time-varying nonlinear dynamic analysis for preload degradation of bolted joint interfaces	51
A stochastic agent-based model to evaluate COVID-19 transmission influenced by human mobility	50
Discrete Time-Delay Memristive Chaotic Map and Its Applications	50
A novel quasi-zero-stiffness isolation platform via tunable positive and negative stiffness compensation mechanism	50
Lie symmetry analysis, invariant subspace method and conservation laws for the extended (2+1)-dimensional Camassa-Holm-Kadomtsev-Petviashvili equation	50
Asymptotic stability of Hilfer fractional neutral stochastic differential equations with time-varying delays and non-instantaneous impulses	50
Effect of ratio threshold control on epidemic dynamics: analysis of an SIR model with non-monotonic incidence	50
Nonlinear vibrations of a rotor with support nonlinearities considering bounded uncertainties	50
Modeling car-following behavior in heterogeneous traffic mixing human-driven, automated and connected vehicles: considering multitype vehicle interactions	50
A study of torsional vibration attenuation in closed-loop crankshaft model using absorbers with cubic and quintic smooth nonlinearities	50
Dynamics of a single-strain and two-strain respiratory infection driven by travel on a metapopulation network	49
Effects of stochastic perturbations on the tree–grass coexistence in savannas	49
Wave propagation in nonlinear locally coupled resonant Kresling origami metamaterials	49
User-level malicious behavior analysis model based on the NMF-GMM algorithm and ensemble strategy	49
Integrated uncertain optimal design strategy for truss configuration and attitude–vibration control in rigid–flexible coupling structure with interval uncertainties	49
Fixed-time adaptive fuzzy control for nonlinear interconnection high-order systems with unknown control direction	49
Interaction phenomena between solitons, lumps and breathers for the combined KP3-4 equation	48
A new derivation of (2 + 1)-dimensional Schrödinger equation with separated real and imaginary parts of the dependent variable and its solitary wave solutions	48
Solitons, kink-solitons and breather solutions of the two-coupled incoherent nonlinear Schrödinger equation	48
Friction-induced planar vibration of a two-rigid-disc system with a finite contact area subjected to uncertain friction	48
Experimental modeling of compact double-gas-chamber hydro-pneumatic strut considering gas temperature and heat transfer	48
Interaction of wave structure in the generalized perturbed KdV equation in mechanics	48
Stabilization of synchronous equilibria in regular dynamical networks with delayed coupling	48
A novel hybrid algorithm with static and dynamic models for air quality index forecasting	48
Adaptive critic design for enhanced control of waverider vehicles with nonaffine nonlinearities	48
Investigation of chatter suppression by using rotating composite boring bar CNT-filled based on a modified nonlinear dynamical model	47
Adaptive EPCH strategy for nonlinear systems with parameters uncertainty and disturbances	47
Impurity effects in a network of mean-field coupled Rössler oscillators	47
Sloshing reduced-order model trained with Smoothed Particle Hydrodynamics simulations	47
Simple Circuit Implementation of String Scaling Fractional-order Memristor with Fixed Valid Frequency Range	46
Gaussian process regression combined with dynamic data reconciliation for improving the performance of nonlinear dynamic systems	46
Multi-fold Darboux transforms and interaction solutions of localized waves to a general vector mKdV equation	46
Optimum design parameters for double concave friction pendulum system considering ground motion characteristics and friction heating	46
Looking for suitable rules for true random number generation with asynchronous cellular automata	46
Stability analysis of multi-area interconnected power systems under denial of service (DoS) attack	46
Scattering of coupled particles on a potential well	46
Three-dimensional nonlinear behaviors and stability analysis of high-speed aerostatic conical bearing-rotor system	46
Nonlinear fault dynamics of planetary gear transmission system	46
Global dynamics of a ring-tethered three-satellite system in any plane	46
Fuzzy Adaptive Predefined Time and Precision Control for Nonlinear Systems with Unknown Control Direction	46
Modeling the transmission dynamics and optimal control analysis of Mpox infection incorporating vaccination control strategy	46

Higher-order vector rogue waves in inhomogeneous optical media: insights into variable-coefficient coupled nonlinear schrödinger model with four-wave mixing	45
Learning with Mandelbrot and Julia	45
Harmonic balance-based nonsmooth modal analysis of unilaterally constrained discrete systems	45
Fixed-time adaptive neural tracking control for nonstrict-feedback nonlinear systems with mismatched disturbances using an event-triggered scheme	45
Parametric roll oscillations of a hydrodynamic Chaplygin sleigh	45
Research on nonlinear static and dynamic characteristics of linear guideway in machine tools considering carriage flexibility	44
Dynamics and energy harvesting from parametrically coupled self-excited electromechanical oscillator	44
A new model for bearing fault diagnosis based on optimized variational mode decomposition correlation coefficient weight threshold denoising and entropy feature fusion	44
Pfaffian, soliton, breather and hybrid solutions for a (2+1)-dimensional combined potential Kadomtsev-Petviashvili-B-type Kadomtsev-Petviashvili equation in fluid mechanics	44
Nth-order smooth positon and breather-positon solutions for the generalized integrable discrete nonlinear Schrödinger equation	44
Improved funnel-based predefined-time formation tracking and mismatched disturbance rejection control for multiple QUAVs	44
Multi-status mating mechanism and incomplete bifurcation of an internal gear system with time-variant parameters and temperature	43
Synchronization and phase balancing in networked chaotic systems with ring lattice and small world networks	43
Different bifurcations and slow dynamics underlying different stochastic dynamics of slow, medium, and fast bursting of β-cell	43
Influences of inherent geometrical nonlinearity of high-static-low-dynamic-stiffness resonator on flexural wave attenuation performance of metamaterial beam	43
Hyperbolic function-based limited-time stability and limited-time synchronization for fuzzy switched Cohen-Grossberg neural networks	43
Emergent spatiotemporal complexity from reaction-diffusion hybridization: A new model for multistable pattern dynamics	43
From deterministic to stochastic: limits of extracting bifurcation diagrams for noisy bistable oscillators with the control-based continuation method	43
When do chemical synapses modulate the formation of spiral waves?	42
Correction to: Impedance force control with uniform exponential stability for variable stiffness environments	42
Nonlinear dynamic characteristics investigation of helicopter high-power gear transmission system	42
An adaptive event-triggered secondary regulation strategy for microgrids with communication link faults	42
Coexistence behavior of a double-MR-based cellular neural network system and its circuit implementation	42
Correction to: A topological framework for identifying phenomenological bifurcations in stochastic dynamical systems	42
Robust finite-time fault-tolerant control for vehicle height and posture regulation with air suspension system subject to actuator faults, uncertainties and external disturbance	42
Applications of empirical wavelet decomposition, statistical feature extraction, and antlion algorithm with support vector regression for resident electricity consumption forecasting	42
Nonlinear stiffness identification of parametrically excited systems based on damping adjustment	42
Study on the vibration characteristics of worm drive with different contact forms	42
Data-driven modeling and prediction of ship course keeping in shallow water waves using higher order dynamic mode decomposition incorporating control input	41
Spontaneous symmetry breaking induced by inhomogeneous nonlinearity in the coupled nonlinear Schrödinger equation	41
Towed wheel shimmy suppression through a nonlinear tuned vibration absorber	41
Experimental study on the dynamic characteristics of drill strings in large-diameter wellbore	41
Coupling failure dynamics of tooth surface morphology and wear based on fractal theory	41
Bilinear Bäcklund, Lax pairs, breather waves, lump waves and soliton interaction of (2+1)-dimensional non-autonomous Kadomtsev–Petviashvili equation	41
Energy transfer and localization in a forced cyclic chain of oscillators with vibro-impact nonlinear energy sinks	41
Complex bursting dynamics in a Rayleigh–Liénard oscillator	41
Dynamic precision reliability of the aircraft landing gear retraction mechanism under coupled extreme working conditions	40
Establishing relations between the vortex-induced vibratory behaviors of tether-type submerged floating tunnel and its multiple intermediate/boundary supporting stiffnesses	40
Experience replay-based dynamic event-triggered optimal control for nonlinear switched systems with actuator failure	40
Heterogeneous whole-brain neural network constructed by SW-SW architecture and PLV matrix	40
Adaptive vibration suppression using tunable bistable beams with dual nonlinear mechanisms	40
Stability and nonlinear vibration of an axially moving plate interacting with magnetic field and subsonic airflow in a narrow gap	40
Secure containment control of time-delay complex-valued multi-agent systems against different attacks	40
Stability analysis of chaotic systems from data	40
Exploring the influence of hunting cooperation, fear, and incommensurate memory effects on generalist predator-prey model	40
A novel model for 1D chaotic map generation with FPGA implementation and PRNG application	40
A general discrete memristor emulator based on Taylor expansion for the reconfigurable FPGA implementation and its application	40
Probabilistic maps on bistable vibration energy harvesters	40
Dynamic analysis of a $$\pmb {SI_{1}I_{2}AD}$$ information dissemination model considering the word of mouth	40
Almost sure consensus of stochastic nonlinear multi-agent systems via event-triggered control	40
FPGA implementation of Hopfield neural network with transcendental nonlinearity	40
Multi-component localized waves in non-uniform media: Integrability and analytical solutions of the extended hirota equation	40
Image encryption model based on novel magic square with differential encoding and chaotic map	39
NES-EBVIS: an enhanced broadband vibration isolation system with a nonlinear energy sink absorber	39
Theoretical and experimental investigation on an improved rack and pinion inerter	39
Dynamic analysis and experimental validation of two-dimensional interface friction with time-varying normal force under base excitation	39
In-plane vibrations of slightly curved beams: two models compared	39
N-soliton, Hth-order breather, hybrid and multi-pole solutions for a generalized variable-coefficient Gardner equation with an external force in a plasma or fluid	39
Multiple bifurcation solitons, lumps and rogue waves solutions of a generalized perturbed KdV equation	39
State filtered disturbance rejection control	39
Nonlinear vortex-induced vibration of fluid-conveying offshore pipelines under supercritical and subcritical mechanisms	39
Numerical Hopf normal form for delay-differential equations	38
Activating internal resonance in a microelectromechanical system by inducing impacts	38
Stochastic analysis of vibro-impact bistable energy harvester system under colored noise	38
Data-driven modelling of autonomous and forced dynamical systems	38
Nonlinear vibration characteristics of a rotor bearing system with irregular raceway defect	38
Initial-offset-boosted coexisting hyperchaos in a 2D memristive Chialvo neuron map and its application in image encryption	38
Data-driven soliton solutions and parameter identification of the nonlocal nonlinear Schrödinger equation using the physics-informed neural network algorithm with parameter regularization	38
Nonlinear dynamics analysis in pneumatic tire modeling	38
Rogue waves on the periodic wave background in the Kadomtsev–Petviashvili I equation	38
Photo-bent cylindrical robots rolling on horizontal and inclined surfaces using contact finite element simulations	38
A dual-neuron memristive hopfield neural network and its application in image encryption	38
Multi-scale quadratic convolutional neural network for bearing fault diagnosis based on multi-sensor data fusion	38
Theoretical and experimental studies on nonlinear dynamic performances of gas journal bearing with three pads-rotor system	37
Nonlinear dynamic behaviors of a shaft-bearing-pedestal system with outer ring slip and damage	37
Rapid mapping of basin stability: A numerical continuation framework for dynamical integrity	37
Finite-time fault detection for stochastic nonlinear networked control systems via interval type-2 T-S fuzzy framework	37
Finite-time extended state observer enhanced nonsingular terminal sliding mode control for buck converters in the presence of disturbances: design, analysis and experiments	36
Experimental and numerical study on motion instability of modular floating structures	36
Nonlinear mechanism for paradoxical facilitation of spike induced by inhibitory synapse in auditory nervous system for sound localization	36
Design and analysis of a memristive Hopfield switching neural network and application to privacy protection	36
Exploiting a novel perturbation structure to overcome manufacturing defect and modal overlap in mode localization MEMS gyroscope	36
Robust fault accommodation approach for double-pendulum tower cranes via adaptive neural network-triggered control	36
Bifurcation analysis, chaotic behaviors, sensitivity analysis, and soliton solutions of a generalized Schrödinger equation	36
Dynamics of a cross-superdiffusive SIRS model with delay effects in transmission and treatment	36
Vibration suppression and performance enhancement of a pendulum tuned mass damper-inerter with geometrical nonlinearity for wind turbine towers	36
Research and experimental verification on transmission performance of 3D modification herringbone gear	35
Study on dynamic stability and safety boundary of superconducting electrodynamic suspension system for high-speed maglev transport	35
Conformable bilinear neural network method: a novel method for time-fractional nonlinear partial differential equations in the sense of conformable derivative	35
Model order reduction and stochastic averaging for the analysis and design of micro-electro-mechanical systems	35
Simulation of ideal material blocks using cellular automata	35
Passive two-plateau relaxation from Tricomi confluent hypergeometric kernels	35
Lump solitions, fractal soliton solutions, superposed periodic wave solutions and bright-dark soliton solutions of the generalized (3+1)-dimensional KP equation via BNNM	35
Management of rotation center in a two-dimensional nonlinear lattice by injected signal frequency	35
Superextreme spiking oscillations and multistability in a memristor-based Hindmarsh–Rose neuron model	35