Nonlinear Dynamics

Article	Citations
On spatial synchronisation as a manifestation of irregular energy cascades in continuous media under the transition to criticality	161
Pressure-induced nonlinear resonance frequency changes for extracting Young’s modulus of nanodrums	147
Robotic controller design for sporadic events using large deviations theory	145
Asymptotic stability of Hilfer fractional neutral stochastic differential equations with time-varying delays and non-instantaneous impulses	143
Coherent structures of lump-soliton for the PT-symmetric nonlocal Davey-Stewartson III equation on a background of constant or periodic line waves	139
Dynamic analysis of a diabetes mathematical model including heredity parameter and multiple time delays	128
Numerical study of wave disturbances of the high order nonlinear Boussinesq equations arising in engineering	127
Bifurcation analysis for the discretized-fractionalized Holling type-IV predator–prey system	117
Nonlinear vibration of a cantilever bistable symmetric laminate using a SDOF model	116
Wave propagation in nonlinear locally coupled resonant Kresling origami metamaterials	115
Integration of Hamiltonian equations with two degrees of freedom for a truncated normal form at 2:1 resonance	115
Vortex light bullets in a twisted cold atomic system with $$\mathcal{P}\mathcal{T}$$-symmetric anharmonic potential	110
Regime transition and multi-scroll hyperchaos in a discrete neuron model	108
Research on microscopic traffic flow modeling and energy characteristics in the energy-saving driving environment	108
Synchronization and stability characteristics of a double-pendulum coupling vibrating system driven by two vibrators	108
Dynamic mechanism of epileptic seizures generation and propagation after ischemic stroke	105
How the reversible change of contact networks affects the epidemic spreading	102
Global tracking control of flexible joint robots via barrier function-based filters	100
Migration-connected networks of Lotka–Volterra and quasi-polynomial systems: modeling and decentralized control	96
Weak solutions and symbolic verification of peakon structures in higher-order b-family Novikov equations	95
Vibration reduction characteristics of nonlinear energy sink with segmented cubic stiffness under forced excitation	92
Kernel methods for regression in continuous time over subsets and manifolds	91
Application of weighted iterative autocorrelation coefficient and stochastic hopfield network in bearing fault detection under variable speed conditions	91
Transmission model and optimal control strategy of the fifth wave of COVID-19 in hong kong with age-heterogeneity	90
Nonlinear tunnelling of 3D partially nonlocal nonautonomous nondegenerate vector solitons in a linear external potential	89

Model-free group consensus of multi-agent systems using critic-only reinforcement learning	85
Secure finite-time filtering for switched fuzzy systems with scaling attacks and stochastic sensor faults	85
Lifelong neural learning control for MIMO nonlinear systems in multi-task environment	83
Identification of friction in joints for multibody dynamics: a Neural-DAE based approach	82
A spacetime variational integration approach to the full discretization of flexible beams based on absolute nodal coordinate formulation	81
Numerical study of heat transfer in a 3D triangular prism with a rotating cylinder using ternary hybrid nanofluids and a new regression model	81
Performance review of locking alleviation methods for continuum ANCF beam elements	81
Fractional Julia sets with short memory	79
Bifurcation analysis of period-1 attractors in a soft impacting oscillator	77
Heterogeneous and homogeneous extreme multi-stabilities in Josephson junction-based dynamical system	76
Reservoir computing as digital twins for controlling nonlinear dynamical systems	76
Event-triggered adaptive tracking control for uncertain nonlinear systems with preassigned prescribed performance constraints under three cases	76
A multi-image encryption scheme for gray-color images based on 2D chaotic map and dual S-boxes	75
Deeponet with a modified FNO branch network based on nonuniform Fourier transform for irregular input grids	75
Modeling car-following behavior in heterogeneous traffic mixing human-driven, automated and connected vehicles: considering multitype vehicle interactions	74
Fingerprints of body dysmorphic disorder in functional brain networks	74
Dynamical analysis and accelerated adaptive backstepping control of MEMS triaxial gyroscope with output constraints	74
Effect of ratio threshold control on epidemic dynamics: analysis of an SIR model with non-monotonic incidence	74
Predefined-time VFO control design for unicycle-like mobile robots	73
Riemann-Hilbert problem and multiple poles solution for an extended modified Korteweg-de Vries equation with zero/nonzero boundary conditions	71
SMDO-based nested controller design for PMSM drive system with input saturation	71
Cubic-quartic optical solitons of the complex Ginzburg-Landau equation: A novel approach	70
Structural and electrical dynamics of a grating-patterned triboelectric energy harvester with stick–slip oscillation and magnetic bistability	69
Epistemic stability and nonlinear dynamics in selection of suboptimal cluster counts in medical images validation dataset as a cluster homogeneity measure	68
Correction to: Uncertainty-corrected fractional generalized Pareto motion for lithium-ion battery life prediction and value-at-risk-based maintenance framework	68
Mitigation of vortex-induced vibration using the ball vibration absorber	67
A time-varying nonlinear dynamic analysis for preload degradation of bolted joint interfaces	67
Adaptive image-based visual servoing control of excavators with hydraulic actuator dynamics	67
A novel reservoir computing for inferring hyperchaotic systems from partial observation	67
Performance degradation in locally resonant metamaterials due to dead-zone nonlinearity	66
Epidemic control under hidden transmission and network heterogeneity using individual-based modeling and reinforcement learning	66
A novel quasi-zero-stiffness isolation platform via tunable positive and negative stiffness compensation mechanism	66
Wronskian $$\pmb {N}$$-soliton solutions to a generalized KdV equation in ($$\pmb {2+1}$$)-dimensions	64
Capability verification and error source investigation of external force sensing methods of continuum robot	64
An energy flow analysis for multibody dynamic behavior of cable-membrane system	63
Optical soliton solutions via the Biswas–Milovic equation: Quasi-periodic behavior, sensitivity, and bifurcation	63
Quantized event-triggered-based finite-time $$\text {H}_\infty $$ control for interval type-2 fuzzy Markov jump systems with random coupling delays	63
Double-layer game-based optimal event-triggered consensus control for stochastic multiagent systems against deception attacks	63
Mathematical modeling the dynamics of SARS-CoV-2 infection with antibody-dependent enhancement	63
Lyapunov functions and regions of attraction for spherically constrained relative orbital motion	62
A new hysteresis model based on Weibull cumulative distribution function and Jiles–Atherton hysteresis model	62
Lump solution, lump-stripe solution, rogue wave solution and periodic solution of the (2 + 1)-dimensional Fokas system	62
Dynamic output feedback control for fractional-order delayed systems subject to actuator saturation	62
A scaling law approach to rate fabrication tolerances of double-sided electrostatic actuators	61
Regularised Volterra series models for modelling of nonlinear self-excited forces on bridge decks	60
Bifurcation scenarios in the hardware-in-the-loop experiments of highly interrupted milling processes	60
Data-driven fault-tolerant path-following control for USV based on fixed-time guidance and fuzzy disturbance observer	60
A stochastic agent-based model to evaluate COVID-19 transmission influenced by human mobility	60
Experimental and numerical investigation on the relationship between stick–slip vibration and rate of penetration	60
Integral of motion and nonlinear dynamics of three Duffing oscillators with weak or strong bidirectional coupling	59

Nonlinear and chaotic behavior in spatial vibration signal of cone valve core	58
Non-uniform wear evolution of gear tooth surface under complicated excitations in a locomotive	58
Practical tracking control under actuator saturation for a class of flexible-joint robotic manipulators driven by DC motors	58
A novel explainable fault diagnosis model for homogenization process using probabilistic Boolean network	58
Nonlinear vibrations of a rotor with support nonlinearities considering bounded uncertainties	58
Bursting dynamics induced by amplitude-modulated excitation in the composite nonlinear oscillator	57
Two-variable boosting bifurcation in a hyperchaotic map and its hardware implementation	57
From Gauss–Newton method solving nonlinear least squares problem of static overdetermined system to multi-instant neurodynamic algorithms handling future time-variant situation	57
Lie symmetry analysis, invariant subspace method and conservation laws for the extended (2+1)-dimensional Camassa-Holm-Kadomtsev-Petviashvili equation	57
Quantization-based tracking control for fuzzy singularly perturbed Markov jump systems with incomplete transition information and packet dropout	56
Design of a new quasi-zero-stiffness isolator system with nonlinear positive stiffness configuration and its novel features	56
Fixed-time sliding mode trajectory tracking control for marine surface vessels with input saturation and prescribed performance constraints	56
Breather and lump-periodic wave solutions to a system of nonlinear wave model arising in fluid mechanics	56
A novel distributed Kalman filtering for health state recognition of aero-engine components in networked control systems	55
Regulation-aware cooperative path following control of maritime autonomous surface ships with fully unknown model parameters	55
An improved methodology to restrict the range of motion of mechanical joints	55
Study on safety characteristics of the spur gear pair considering time-varying backlash in the established multi-level safety domains	54
Sensitivity analysis of the rotor-bearing system with fractional power nonlinearity using multicomplex variable derivation	53
Discrete Time-Delay Memristive Chaotic Map and Its Applications	53
A semi-analytical solution in time domain for evaluating the nonlinear normal modes of a cantilever beam with a tip nonlinearity	53
An adaptive finite-time formation control against actuator attacks in nonlinear singular multiagent systems	53
Analytical approach for nonlinear vibration response of the thin cylindrical shell with a straight crack	53
Interaction properties of double-hump solitons in the dispersion decreasing fiber	52
Analyzing N-solitons, breathers, and hybrid interactions: comparisons of localized wave dynamics through data points	52
Revisited chaotic vibrations in dielectric elastomer systems with stiffening	51
IRLTS rumor propagation model considering the influence of lurking psychology and the truth of rumors	51
A study of torsional vibration attenuation in closed-loop crankshaft model using absorbers with cubic and quintic smooth nonlinearities	51
Dynamical analysis of an improved FitzHugh-Nagumo neuron model with multiplier-free implementation	51
Event-triggered predefined-time adaptive consensus control for stochastic multi-agent systems	51
Nonlinear effects of actuator rate and acceleration limits on closed-loop systems: a describing function approach	50
Extension of the bouncing ball model to a vibratory conveying system	50
Stochastic response analysis of a galloping energy harvesting system under Gaussian white noise excitations	50
Wronskian and rational solutions of a $$(2+1)$$-dimensional nonlinear evolution equation with time-dependent coefficients	50
Spatiotemporal dynamics in discrete memristive Josephson junction array with electric and magnetic couplings under a controllable energy injection	50
Dynamics of excited piecewise linear oscillators	50
Nonlinear vibrations of a sandwich piezo-beam system under piezoelectric actuation	50
Characterization and vibration control of a magnetorheological damper-based tail support for wind tunnel tests	50
Spontaneous symmetry breaking induced by interaction in linearly coupled binary Bose–Einstein condensates	49
Study on transient dynamics of the pyrotechnic-driven large flexible expansion mechanism	49
Precise impact time and angle guidance strategy under time-varying velocity	49
Jacobi elliptic function solutions and bifurcation analysis of (2+1)-dimensional resonant Davey–Stewartson equations	48
Frequency-response curves for rate-independent hysteretic mechanical responses of complex shape	48
Nonlinear free vibration analysis of doubly curved shells	48
Integrated uncertain optimal design strategy for truss configuration and attitude–vibration control in rigid–flexible coupling structure with interval uncertainties	48
Load adaptivity of the mem-spring and its performance benefits in vehicle suspensions	48
Periodic decentralized event-triggered control for nonlinear systems with asynchronous update and dynamic quantization	48
Robust formation shape control for fixed-wing unmanned aerial vehicles with relative pose measurement	48
Formation control of networked mobile robots with weighted directed topology using the Udwadia–Kalaba approach	48
Oceanic internal solitary wave interactions via the KP equation in a three-layer fluid with shear flow	48
Model reduction of rotor-foundation systems using the approximate invariant manifold method	48
Fully actuated system approach to robust control for uncertain active suspension systems	47
The centered alignment multikernel nonhomogeneous gray model and its application	47
Mitigation of vortex-induced vibrations in transmission lines via a nonlinear moving absorber	47
Time series classification of dynamical systems using deterministic learning	47
How a ball free to orbit in a circular track mitigates the galloping of a square prism	46
Dynamics of a single-strain and two-strain respiratory infection driven by travel on a metapopulation network	46
User-level malicious behavior analysis model based on the NMF-GMM algorithm and ensemble strategy	46
Singular value decomposition-based stochastic admissibility and robust extended dissipativity for delayed hybrid descriptor systems under a unified framework	46
Robust adaptive formation control for nonlinear multi-agent systems with range constraints	46
Adaptive asymptotic stabilization of uncertain nonstrict feedback nonlinear HOFA systems with time delays	46
Applications of empirical wavelet decomposition, statistical feature extraction, and antlion algorithm with support vector regression for resident electricity consumption forecasting	46
Stroboscopic control and tracking of periodic states	46
Continuation of periodic orbits in conservative hybrid dynamical systems and its application to mechanical systems with impulsive dynamics	46
Effects of stochastic perturbations on the tree–grass coexistence in savannas	46
Finite-time fault detection for stochastic nonlinear networked control systems via interval type-2 T-S fuzzy framework	46
Solitons, kink-solitons and breather solutions of the two-coupled incoherent nonlinear Schrödinger equation	45
Fixed-time adaptive fuzzy control for nonlinear interconnection high-order systems with unknown control direction	45
Adaptive critic design for enhanced control of waverider vehicles with nonaffine nonlinearities	45
A new derivation of (2 + 1)-dimensional Schrödinger equation with separated real and imaginary parts of the dependent variable and its solitary wave solutions	45
Spontaneous symmetry breaking induced by inhomogeneous nonlinearity in the coupled nonlinear Schrödinger equation	45
Interaction of wave structure in the generalized perturbed KdV equation in mechanics	45
Nonlinear fault dynamics of planetary gear transmission system	45
Band evolution and 2D nonreciprocal wave propagation in strongly nonlinear meta-plates	45
Nth-order smooth positon and breather-positon solutions for the generalized integrable discrete nonlinear Schrödinger equation	45
Stochastic analysis of vibro-impact bistable energy harvester system under colored noise	45
Stability analysis of chaotic systems from data	44
Experimental and numerical study on motion instability of modular floating structures	44
Adaptive vibration suppression using tunable bistable beams with dual nonlinear mechanisms	44
Numerical Hopf normal form for delay-differential equations	44
Nonlinear dynamic characteristics investigation of helicopter high-power gear transmission system	44

Transient mixed lubrication analysis of the hydrodynamic bearing-rotor system during start-up considering misalignment and wear	44
Exploiting a novel perturbation structure to overcome manufacturing defect and modal overlap in mode localization MEMS gyroscope	44
A new model for bearing fault diagnosis based on optimized variational mode decomposition correlation coefficient weight threshold denoising and entropy feature fusion	44
Scattering of coupled particles on a potential well	44
Influences of inherent geometrical nonlinearity of high-static-low-dynamic-stiffness resonator on flexural wave attenuation performance of metamaterial beam	44
Nonlinear dynamic behaviors of a shaft-bearing-pedestal system with outer ring slip and damage	43
Dynamics of a cross-superdiffusive SIRS model with delay effects in transmission and treatment	43
Spatial patterns and chimera states in discrete memristor coupled neural networks	43
Secure containment control of time-delay complex-valued multi-agent systems against different attacks	43
Research and experimental verification on transmission performance of 3D modification herringbone gear	43
Lump solitions, fractal soliton solutions, superposed periodic wave solutions and bright-dark soliton solutions of the generalized (3+1)-dimensional KP equation via BNNM	42
Three-dimensional nonlinear behaviors and stability analysis of high-speed aerostatic conical bearing-rotor system	42
Simple Circuit Implementation of String Scaling Fractional-order Memristor with Fixed Valid Frequency Range	42
Learning with Mandelbrot and Julia	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
In-plane vibrations of slightly curved beams: two models compared	42
Finite-time extended state observer enhanced nonsingular terminal sliding mode control for buck converters in the presence of disturbances: design, analysis and experiments	41
Investigation of chatter suppression by using rotating composite boring bar CNT-filled based on a modified nonlinear dynamical model	41
Looking for suitable rules for true random number generation with asynchronous cellular automata	41
Nonlinear stiffness identification of parametrically excited systems based on damping adjustment	41
Energy transfer and localization in a forced cyclic chain of oscillators with vibro-impact nonlinear energy sinks	41
Higher-order vector rogue waves in inhomogeneous optical media: insights into variable-coefficient coupled nonlinear schrödinger model with four-wave mixing	41
Pfaffian, soliton, breather and hybrid solutions for a (2+1)-dimensional combined potential Kadomtsev-Petviashvili-B-type Kadomtsev-Petviashvili equation in fluid mechanics	41
Study on the vibration characteristics of worm drive with different contact forms	41
Improved funnel-based predefined-time formation tracking and mismatched disturbance rejection control for multiple QUAVs	41
Impurity effects in a network of mean-field coupled Rössler oscillators	41
Fuzzy Adaptive Predefined Time and Precision Control for Nonlinear Systems with Unknown Control Direction	41
Fixed-time adaptive neural tracking control for nonstrict-feedback nonlinear systems with mismatched disturbances using an event-triggered scheme	41
Multi-fold Darboux transforms and interaction solutions of localized waves to a general vector mKdV equation	40
Parametric roll oscillations of a hydrodynamic Chaplygin sleigh	40
A novel hybrid algorithm with static and dynamic models for air quality index forecasting	40
Dynamics and energy harvesting from parametrically coupled self-excited electromechanical oscillator	40
Dynamic analysis of a $$\pmb {SI_{1}I_{2}AD}$$ information dissemination model considering the word of mouth	40
Bilinear Bäcklund, Lax pairs, breather waves, lump waves and soliton interaction of (2+1)-dimensional non-autonomous Kadomtsev–Petviashvili equation	40
Harmonic balance-based nonsmooth modal analysis of unilaterally constrained discrete systems	40
From deterministic to stochastic: limits of extracting bifurcation diagrams for noisy bistable oscillators with the control-based continuation method	40
Dynamic precision reliability of the aircraft landing gear retraction mechanism under coupled extreme working conditions	39
Correction to: Impedance force control with uniform exponential stability for variable stiffness environments	39
Stability and nonlinear vibration of an axially moving plate interacting with magnetic field and subsonic airflow in a narrow gap	39
A general discrete memristor emulator based on Taylor expansion for the reconfigurable FPGA implementation and its application	39
Correction to: A topological framework for identifying phenomenological bifurcations in stochastic dynamical systems	39
Multi-status mating mechanism and incomplete bifurcation of an internal gear system with time-variant parameters and temperature	39
Activating internal resonance in a microelectromechanical system by inducing impacts	39
Experimental modeling of compact double-gas-chamber hydro-pneumatic strut considering gas temperature and heat transfer	38
Probabilistic maps on bistable vibration energy harvesters	38
Image encryption model based on novel magic square with differential encoding and chaotic map	38
Friction-induced planar vibration of a two-rigid-disc system with a finite contact area subjected to uncertain friction	38
Interaction phenomena between solitons, lumps and breathers for the combined KP3-4 equation	38
Optimum design parameters for double concave friction pendulum system considering ground motion characteristics and friction heating	38
Initial-offset-boosted coexisting hyperchaos in a 2D memristive Chialvo neuron map and its application in image encryption	38
Bifurcation analysis, chaotic behaviors, sensitivity analysis, and soliton solutions of a generalized Schrödinger equation	38
Complex bursting dynamics in a Rayleigh–Liénard oscillator	38
Stabilization of synchronous equilibria in regular dynamical networks with delayed coupling	38
Hyperbolic function-based limited-time stability and limited-time synchronization for fuzzy switched Cohen-Grossberg neural networks	38
Towed wheel shimmy suppression through a nonlinear tuned vibration absorber	38
State filtered disturbance rejection control	37
Emergent spatiotemporal complexity from reaction-diffusion hybridization: A new model for multistable pattern dynamics	37
Almost sure consensus of stochastic nonlinear multi-agent systems via event-triggered control	37
A novel image encryption algorithm based on hyperchaotic system with cross-feedback structure and diffusive DNA coding operations	37
Sloshing reduced-order model trained with Smoothed Particle Hydrodynamics simulations	37
A dual-neuron memristive hopfield neural network and its application in image encryption	37
Modeling the transmission dynamics and optimal control analysis of Mpox infection incorporating vaccination control strategy	37
Data-driven soliton solutions and parameter identification of the nonlocal nonlinear Schrödinger equation using the physics-informed neural network algorithm with parameter regularization	37
Nonlinear vibration characteristics of a rotor bearing system with irregular raceway defect	37
Coupling failure dynamics of tooth surface morphology and wear based on fractal theory	37
Design and analysis of a memristive Hopfield switching neural network and application to privacy protection	37
Adaptive EPCH strategy for nonlinear systems with parameters uncertainty and disturbances	37
FPGA implementation of Hopfield neural network with transcendental nonlinearity	36
Nonaxisymmetric magnetoelastic coupling natural vibration analysis of annular plates in an induced nonuniform magnetic field	36
Nonlinear mechanism for paradoxical facilitation of spike induced by inhibitory synapse in auditory nervous system for sound localization	36
Experimental and numerical investigation of a vertical vibration isolator for seismic applications	36
Video encryption algorithm based on a novel spatiotemporal chaotic system and IFS fractal construction system	36
Rogue waves on the periodic wave background in the Kadomtsev–Petviashvili I equation	36
Multiple bifurcation solitons, lumps and rogue waves solutions of a generalized perturbed KdV equation	36
Gaussian process regression combined with dynamic data reconciliation for improving the performance of nonlinear dynamic systems	36
Theoretical and experimental studies on nonlinear dynamic performances of gas journal bearing with three pads-rotor system	36
Global dynamics of a ring-tethered three-satellite system in any plane	36
Different bifurcations and slow dynamics underlying different stochastic dynamics of slow, medium, and fast bursting of β-cell	36
Coexistence behavior of a double-MR-based cellular neural network system and its circuit implementation	36
A novel model for 1D chaotic map generation with FPGA implementation and PRNG application	36
Experience replay-based dynamic event-triggered optimal control for nonlinear switched systems with actuator failure	36
When do chemical synapses modulate the formation of spiral waves?	35
Synchronization and phase balancing in networked chaotic systems with ring lattice and small world networks	35
Painlevé integrability and multi-wave pattern for (2+1)-dimensional long wave–short wave resonance interaction system	35
Theoretical and experimental investigation on an improved rack and pinion inerter	35
NES-EBVIS: an enhanced broadband vibration isolation system with a nonlinear energy sink absorber	35
Multi-scale quadratic convolutional neural network for bearing fault diagnosis based on multi-sensor data fusion	35
Exploring the influence of hunting cooperation, fear, and incommensurate memory effects on generalist predator-prey model	35
Nonlinear oscillation of active magnetic bearing–rotor systems with a time-delayed proportional–derivative controller	35
An adaptive event-triggered secondary regulation strategy for microgrids with communication link faults	35
Stability analysis of multi-area interconnected power systems under denial of service (DoS) attack	35
Heterogeneous whole-brain neural network constructed by SW-SW architecture and PLV matrix	35
Management of rotation center in a two-dimensional nonlinear lattice by injected signal frequency	34
Conformable bilinear neural network method: a novel method for time-fractional nonlinear partial differential equations in the sense of conformable derivative	34
Simulation of ideal material blocks using cellular automata	34