Nonlinear Dynamics

Article	Citations
Continuation of periodic orbits in conservative hybrid dynamical systems and its application to mechanical systems with impulsive dynamics	237
Dynamics of excited piecewise linear oscillators	234
Coherent structures of lump-soliton for the PT-symmetric nonlocal Davey-Stewartson III equation on a background of constant or periodic line waves	206
Regularised Volterra series models for modelling of nonlinear self-excited forces on bridge decks	148
Mathematical modeling the dynamics of SARS-CoV-2 infection with antibody-dependent enhancement	139
A stochastic agent-based model to evaluate COVID-19 transmission influenced by human mobility	133
Quantization-based tracking control for fuzzy singularly perturbed Markov jump systems with incomplete transition information and packet dropout	127
Weak solutions and symbolic verification of peakon structures in higher-order b-family Novikov equations	126
Adaptive asymptotic stabilization of uncertain nonstrict feedback nonlinear HOFA systems with time delays	123
Bifurcation scenarios in the hardware-in-the-loop experiments of highly interrupted milling processes	121
On spatial synchronisation as a manifestation of irregular energy cascades in continuous media under the transition to criticality	120
Precise impact time and angle guidance strategy under time-varying velocity	120
Pressure-induced nonlinear resonance frequency changes for extracting Young’s modulus of nanodrums	118
Epistemic stability and nonlinear dynamics in selection of suboptimal cluster counts in medical images validation dataset as a cluster homogeneity measure	112
Controller design for switched systems with nonlinear sub-systems using common Lyapunov functions	109
A novel dynamic model and the oblique interaction for ocean internal solitary waves	108
Current-driven magnetization reversal dynamics and breather-like EM soliton propagation in biaxial anisotropic weak ferromagnetic nanowire	108
A scaling law approach to rate fabrication tolerances of double-sided electrostatic actuators	107
How the reversible change of contact networks affects the epidemic spreading	107
Evolutionary dynamics of predator in a community of interacting species	105
Lyapunov functions and regions of attraction for spherically constrained relative orbital motion	104
Wave propagation in nonlinear locally coupled resonant Kresling origami metamaterials	103
Sensitivity analysis of the rotor-bearing system with fractional power nonlinearity using multicomplex variable derivation	102
Robotic controller design for sporadic events using large deviations theory	101
Numerical simulation on a limit cycle oscillation of a rectangular sheet in three-dimensional flow: influence of vortex element model on post-critical behavior	98

From Gauss–Newton method solving nonlinear least squares problem of static overdetermined system to multi-instant neurodynamic algorithms handling future time-variant situation	97
Event-triggered adaptive tracking control for uncertain nonlinear systems with preassigned prescribed performance constraints under three cases	95
An improved methodology to restrict the range of motion of mechanical joints	93
Lump solution, lump-stripe solution, rogue wave solution and periodic solution of the (2 + 1)-dimensional Fokas system	93
Dynamic analysis of a diabetes mathematical model including heredity parameter and multiple time delays	89
Migration-connected networks of Lotka–Volterra and quasi-polynomial systems: modeling and decentralized control	89
A novel explainable fault diagnosis model for homogenization process using probabilistic Boolean network	89
Spatiotemporal dynamics in discrete memristive Josephson junction array with electric and magnetic couplings under a controllable energy injection	86
Dynamic output feedback control for fractional-order delayed systems subject to actuator saturation	85
Novel hybrid-type solutions for the (3+1)-dimensional generalized Bogoyavlensky–Konopelchenko equation with time-dependent coefficients	85
Modeling car-following behavior in heterogeneous traffic mixing human-driven, automated and connected vehicles: considering multitype vehicle interactions	82
A novel distributed Kalman filtering for health state recognition of aero-engine components in networked control systems	81
Robust adaptive formation control for nonlinear multi-agent systems with range constraints	80
Effect of ratio threshold control on epidemic dynamics: analysis of an SIR model with non-monotonic incidence	79
Formation control of networked mobile robots with weighted directed topology using the Udwadia–Kalaba approach	77
Adaptive under-actuated control for capacitive micro-machined ultrasonic transducer based on an accurate nonlinear modeling	77
Research on microscopic traffic flow modeling and energy characteristics in the energy-saving driving environment	76
Vortex light bullets in a twisted cold atomic system with $$\mathcal{P}\mathcal{T}$$-symmetric anharmonic potential	74
Correction to: Uncertainty-corrected fractional generalized Pareto motion for lithium-ion battery life prediction and value-at-risk-based maintenance framework	74
Spectral analysis and soliton structures for the Hermitian symmetric space Fokas–Lenells equation	73
Transmission model and optimal control strategy of the fifth wave of COVID-19 in hong kong with age-heterogeneity	72
A new hysteresis model based on Weibull cumulative distribution function and Jiles–Atherton hysteresis model	71
Quantized event-triggered-based finite-time $$\text {H}_\infty $$ control for interval type-2 fuzzy Markov jump systems with random coupling delays	70
Double-layer game-based optimal event-triggered consensus control for stochastic multiagent systems against deception attacks	69
An adaptive finite-time formation control against actuator attacks in nonlinear singular multiagent systems	69
Suppression of vibration transmission in coupled systems with an inerter-based nonlinear joint	68
Practical tracking control under actuator saturation for a class of flexible-joint robotic manipulators driven by DC motors	68
Application of weighted iterative autocorrelation coefficient and stochastic hopfield network in bearing fault detection under variable speed conditions	67
Study on transient dynamics of the pyrotechnic-driven large flexible expansion mechanism	67
Command-filtered compound FAT learning control of fractional-order nonlinear systems with input delay and external disturbances	66
Spontaneous symmetry breaking induced by interaction in linearly coupled binary Bose–Einstein condensates	66
Capability verification and error source investigation of external force sensing methods of continuum robot	66
Bursting dynamics induced by amplitude-modulated excitation in the composite nonlinear oscillator	66
Riemann-Hilbert problem and multiple poles solution for an extended modified Korteweg-de Vries equation with zero/nonzero boundary conditions	66
Cubic-quartic optical solitons of the complex Ginzburg-Landau equation: A novel approach	65
Fingerprints of body dysmorphic disorder in functional brain networks	64
Integration of Hamiltonian equations with two degrees of freedom for a truncated normal form at 2:1 resonance	64
Bifurcation analysis for the discretized-fractionalized Holling type-IV predator–prey system	64
Asymptotic stability of Hilfer fractional neutral stochastic differential equations with time-varying delays and non-instantaneous impulses	64
Synchronization and stability characteristics of a double-pendulum coupling vibrating system driven by two vibrators	64
Periodic decentralized event-triggered control for nonlinear systems with asynchronous update and dynamic quantization	63
Truncated predictor stabilization control for interconnected nonlinear systems with time-varying input delay	63
N-soliton solutions and nonlinear dynamics for two generalized Broer–Kaup systems	63
Kernel methods for regression in continuous time over subsets and manifolds	61
Bifurcation analysis of period-1 attractors in a soft impacting oscillator	61
Optical soliton solutions via the Biswas–Milovic equation: Quasi-periodic behavior, sensitivity, and bifurcation	61
Nonlinear tunnelling of 3D partially nonlocal nonautonomous nondegenerate vector solitons in a linear external potential	61
Load adaptivity of the mem-spring and its performance benefits in vehicle suspensions	60
Structural and electrical dynamics of a grating-patterned triboelectric energy harvester with stick–slip oscillation and magnetic bistability	60
Analyzing N-solitons, breathers, and hybrid interactions: comparisons of localized wave dynamics through data points	60

Integral of motion and nonlinear dynamics of three Duffing oscillators with weak or strong bidirectional coupling	60
Experimental and numerical investigation on the relationship between stick–slip vibration and rate of penetration	59
How a ball free to orbit in a circular track mitigates the galloping of a square prism	59
Time series classification of dynamical systems using deterministic learning	58
Identification of friction in joints for multibody dynamics: a Neural-DAE based approach	58
Numerical study of wave disturbances of the high order nonlinear Boussinesq equations arising in engineering	58
Oceanic internal solitary wave interactions via the KP equation in a three-layer fluid with shear flow	57
Study on nonlinear dynamic behavior and stability of aviation pressure servo valve-controlled cylinder system	57
Nonlinear and chaotic behavior in spatial vibration signal of cone valve core	57
Breather and lump-periodic wave solutions to a system of nonlinear wave model arising in fluid mechanics	56
Fully actuated system approach to robust control for uncertain active suspension systems	56
Soliton, breather-like and dark-soliton-breather-like solutions for the coupled long-wave–short-wave system	56
Discrete Time-Delay Memristive Chaotic Map and Its Applications	55
Extension of the bouncing ball model to a vibratory conveying system	55
Nonlinear free vibration analysis of doubly curved shells	55
IRLTS rumor propagation model considering the influence of lurking psychology and the truth of rumors	55
Performance review of locking alleviation methods for continuum ANCF beam elements	54
Revisited chaotic vibrations in dielectric elastomer systems with stiffening	54
Dynamical analysis of an improved FitzHugh-Nagumo neuron model with multiplier-free implementation	54
A spacetime variational integration approach to the full discretization of flexible beams based on absolute nodal coordinate formulation	54
Dynamical analysis and accelerated adaptive backstepping control of MEMS triaxial gyroscope with output constraints	53
The centered alignment multikernel nonhomogeneous gray model and its application	53
Stroboscopic control and tracking of periodic states	53
Non-uniform wear evolution of gear tooth surface under complicated excitations in a locomotive	53
Nonlinear vibrations of a rotor with support nonlinearities considering bounded uncertainties	52
A new 5D Hamiltonian conservative hyperchaotic system with four center type equilibrium points, wide range and coexisting hyperchaotic orbits	52
Predefined-time VFO control design for unicycle-like mobile robots	52
Energy shaping dynamic tube-MPC for underactuated mechanical systems	51
Global tracking control of flexible joint robots via barrier function-based filters	50
Design of a new quasi-zero-stiffness isolator system with nonlinear positive stiffness configuration and its novel features	50
Characterization and vibration control of a magnetorheological damper-based tail support for wind tunnel tests	50
Nonlinear vibration of a cantilever bistable symmetric laminate using a SDOF model	50
Data-driven fault-tolerant path-following control for USV based on fixed-time guidance and fuzzy disturbance observer	50
Resonance $$\varvec{Y}$$-type soliton, hybrid and quasi-periodic wave solutions of a generalized $$\varvec{(2+1)}$$-dimensional nonlinear wave equation	49
A study of torsional vibration attenuation in closed-loop crankshaft model using absorbers with cubic and quintic smooth nonlinearities	49
Nonlinear vibrations of a sandwich piezo-beam system under piezoelectric actuation	49
Fixed-time sliding mode trajectory tracking control for marine surface vessels with input saturation and prescribed performance constraints	49
Regulation-aware cooperative path following control of maritime autonomous surface ships with fully unknown model parameters	48
Two-variable boosting bifurcation in a hyperchaotic map and its hardware implementation	48
Secure finite-time filtering for switched fuzzy systems with scaling attacks and stochastic sensor faults	48
Investigation on the 1:2 internal resonance of an FGM blade	47
Performance enhancement of galloping-based piezoelectric energy harvesting by exploiting 1:1 internal resonance of magnetically coupled oscillators	47
Study on safety characteristics of the spur gear pair considering time-varying backlash in the established multi-level safety domains	47
Hopf–Hopf bifurcation analysis based on resonance and non-resonance in a simplified railway wheelset model	47
A semi-analytical solution in time domain for evaluating the nonlinear normal modes of a cantilever beam with a tip nonlinearity	46
Uniform non-degeneracy discrete chaotic system and its application in image encryption	46
Interaction properties of double-hump solitons in the dispersion decreasing fiber	45
An energy flow analysis for multibody dynamic behavior of cable-membrane system	45
Dynamic mechanism of epileptic seizures generation and propagation after ischemic stroke	45
Analytical approach for nonlinear vibration response of the thin cylindrical shell with a straight crack	44
Regime transition and multi-scroll hyperchaos in a discrete neuron model	44
Numerical study of heat transfer in a 3D triangular prism with a rotating cylinder using ternary hybrid nanofluids and a new regression model	44
Wronskian $$\pmb {N}$$-soliton solutions to a generalized KdV equation in ($$\pmb {2+1}$$)-dimensions	44
A novel quasi-zero-stiffness isolation platform via tunable positive and negative stiffness compensation mechanism	44
Frequency-response curves for rate-independent hysteretic mechanical responses of complex shape	44
Slow–fast analysis of a modified Leslie–Gower model with Holling type I functional response	43
Adaptive critic design for enhanced control of waverider vehicles with nonaffine nonlinearities	43
Integrated uncertain optimal design strategy for truss configuration and attitude–vibration control in rigid–flexible coupling structure with interval uncertainties	43
Nth-order smooth positon and breather-positon solutions for the generalized integrable discrete nonlinear Schrödinger equation	43
Stability analysis of multi-area interconnected power systems under denial of service (DoS) attack	43
Model reduction of rotor-foundation systems using the approximate invariant manifold method	43
Theoretical and experimental investigation on an improved rack and pinion inerter	43
Study on the vibration characteristics of worm drive with different contact forms	43
A novel hybrid algorithm with static and dynamic models for air quality index forecasting	42
Stability and nonlinear vibration of an axially moving plate interacting with magnetic field and subsonic airflow in a narrow gap	42
Adaptive signal-correction-based identification for friction perception of the vibration-driven limbless robot	42
Interaction of wave structure in the generalized perturbed KdV equation in mechanics	42
Distributed time-varying formation tracking of multi-quadrotor systems with partial aperiodic sampled data	42
Different bifurcations and slow dynamics underlying different stochastic dynamics of slow, medium, and fast bursting of β-cell	42
Exploiting a novel perturbation structure to overcome manufacturing defect and modal overlap in mode localization MEMS gyroscope	42
A novel model for 1D chaotic map generation with FPGA implementation and PRNG application	41
Stochastic vibration responses of the bistable electromagnetic actuator with elastic boundary controlled by the random signals	41
When do chemical synapses modulate the formation of spiral waves?	41
Experimental and numerical investigation of a vertical vibration isolator for seismic applications	41
Looking for suitable rules for true random number generation with asynchronous cellular automata	41
Global dynamics of a ring-tethered three-satellite system in any plane	41
Dynamic precision reliability of the aircraft landing gear retraction mechanism under coupled extreme working conditions	41
An asymmetric quasi-zero stiffness vibration isolator with long stroke and large bearing capacity	41
Fixed-time adaptive fuzzy control for nonlinear interconnection high-order systems with unknown control direction	41
Nonaxisymmetric magnetoelastic coupling natural vibration analysis of annular plates in an induced nonuniform magnetic field	40

Nonlinear mechanism for paradoxical facilitation of spike induced by inhibitory synapse in auditory nervous system for sound localization	40
Memristive Hénon map with hidden Neimark–Sacker bifurcations	40
Bilinear Bäcklund, Lax pairs, breather waves, lump waves and soliton interaction of (2+1)-dimensional non-autonomous Kadomtsev–Petviashvili equation	40
Coexistence behavior of a double-MR-based cellular neural network system and its circuit implementation	40
Numerical Hopf normal form for delay-differential equations	40
Correction to: Impedance force control with uniform exponential stability for variable stiffness environments	40
Robust fault accommodation approach for double-pendulum tower cranes via adaptive neural network-triggered control	40
Gaussian process regression combined with dynamic data reconciliation for improving the performance of nonlinear dynamic systems	39
Experimental and numerical study on motion instability of modular floating structures	39
Design and analysis of a memristive Hopfield switching neural network and application to privacy protection	39
Conformable bilinear neural network method: a novel method for time-fractional nonlinear partial differential equations in the sense of conformable derivative	39
Analysis of non-pharmaceutical interventions impacts on COVID-19 pandemic in Iran	39
Experience replay-based dynamic event-triggered optimal control for nonlinear switched systems with actuator failure	39
Remote sensing image compression and encryption based on block compressive sensing and 2D-LCCCM	39
A dual-neuron memristive hopfield neural network and its application in image encryption	39
Lump solitions, fractal soliton solutions, superposed periodic wave solutions and bright-dark soliton solutions of the generalized (3+1)-dimensional KP equation via BNNM	39
A novel image encryption algorithm based on hyperchaotic system with cross-feedback structure and diffusive DNA coding operations	39
Learning with Mandelbrot and Julia	39
Adaptive EPCH strategy for nonlinear systems with parameters uncertainty and disturbances	39
Symmetry and relative equilibria of a bicycle system moving on a surface of revolution	38
Parametric roll oscillations of a hydrodynamic Chaplygin sleigh	38
Sloshing reduced-order model trained with Smoothed Particle Hydrodynamics simulations	38
An adaptive event-triggered secondary regulation strategy for microgrids with communication link faults	38
Painlevé integrability and multi-wave pattern for (2+1)-dimensional long wave–short wave resonance interaction system	38
Dynamics of a single-strain and two-strain respiratory infection driven by travel on a metapopulation network	38
Singular value decomposition-based stochastic admissibility and robust extended dissipativity for delayed hybrid descriptor systems under a unified framework	38
Multi-fold Darboux transforms and interaction solutions of localized waves to a general vector mKdV equation	38
Augmented perpetual manifolds and perpetual mechanical systems-part II: theorem for dissipative mechanical systems behaving as perpetual machines of third kind	38
A new derivation of (2 + 1)-dimensional Schrödinger equation with separated real and imaginary parts of the dependent variable and its solitary wave solutions	37
Effects of stochastic perturbations on the tree–grass coexistence in savannas	37
Band evolution and 2D nonreciprocal wave propagation in strongly nonlinear meta-plates	37
Dynamic analysis of a $$\pmb {SI_{1}I_{2}AD}$$ information dissemination model considering the word of mouth	37
Pfaffian, soliton, breather and hybrid solutions for a (2+1)-dimensional combined potential Kadomtsev-Petviashvili-B-type Kadomtsev-Petviashvili equation in fluid mechanics	37
Experimental modeling of compact double-gas-chamber hydro-pneumatic strut considering gas temperature and heat transfer	37
Interaction phenomena between solitons, lumps and breathers for the combined KP3-4 equation	37
Harmonic balance-based nonsmooth modal analysis of unilaterally constrained discrete systems	37
Asymmetric vibrations and chaos in spherical caps under uniform time-varying pressure fields	37
Multi-status mating mechanism and incomplete bifurcation of an internal gear system with time-variant parameters and temperature	37
Optimum design parameters for double concave friction pendulum system considering ground motion characteristics and friction heating	36
FPGA implementation of Hopfield neural network with transcendental nonlinearity	36
Coupling failure dynamics of tooth surface morphology and wear based on fractal theory	36
Stabilization of synchronous equilibria in regular dynamical networks with delayed coupling	36
Theoretical and experimental studies on nonlinear dynamic performances of gas journal bearing with three pads-rotor system	36
Friction-induced planar vibration of a two-rigid-disc system with a finite contact area subjected to uncertain friction	36
From deterministic to stochastic: limits of extracting bifurcation diagrams for noisy bistable oscillators with the control-based continuation method	36
Correction to: A topological framework for identifying phenomenological bifurcations in stochastic dynamical systems	36
Multiple bifurcation solitons, lumps and rogue waves solutions of a generalized perturbed KdV equation	36
Nonlinear dynamics analysis in pneumatic tire modeling	36
Rogue waves on the periodic wave background in the Kadomtsev–Petviashvili I equation	35
Valley Hall edge solitons in honeycomb lattice with an armchair-type domain wall	35
A general discrete memristor emulator based on Taylor expansion for the reconfigurable FPGA implementation and its application	35
Lévy noise-induced self-induced stochastic resonance in a memristive neuron	35
Stability analysis of chaotic systems from data	35
Research on nonlinear static and dynamic characteristics of linear guideway in machine tools considering carriage flexibility	35
Nonlinear stiffness identification of parametrically excited systems based on damping adjustment	35
Activating internal resonance in a microelectromechanical system by inducing impacts	35
Image encryption model based on novel magic square with differential encoding and chaotic map	35
Stochastic analysis of vibro-impact bistable energy harvester system under colored noise	35
Research and experimental verification on transmission performance of 3D modification herringbone gear	35
Nonlinear oscillation of active magnetic bearing–rotor systems with a time-delayed proportional–derivative controller	34
NES-EBVIS: an enhanced broadband vibration isolation system with a nonlinear energy sink absorber	34
Applications of empirical wavelet decomposition, statistical feature extraction, and antlion algorithm with support vector regression for resident electricity consumption forecasting	34
Spatial solitons in non-parity-time-symmetric complex potentials with competing cubic–quintic nonlinearities	34
Energy transfer and localization in a forced cyclic chain of oscillators with vibro-impact nonlinear energy sinks	34
Dynamics and energy harvesting from parametrically coupled self-excited electromechanical oscillator	34
Exploring the influence of hunting cooperation, fear, and incommensurate memory effects on generalist predator-prey model	34
Spontaneous symmetry breaking induced by inhomogeneous nonlinearity in the coupled nonlinear Schrödinger equation	34
Nonlinear dynamic behaviors of a shaft-bearing-pedestal system with outer ring slip and damage	33
Robust finite-time fault-tolerant control for vehicle height and posture regulation with air suspension system subject to actuator faults, uncertainties and external disturbance	33
Hamiltonian energy computation and complex behavior of a small heterogeneous network of three neurons: circuit implementation	33
Secure containment control of time-delay complex-valued multi-agent systems against different attacks	33
User-level malicious behavior analysis model based on the NMF-GMM algorithm and ensemble strategy	33
Climate change in mechanical systems: the snapshot view of parallel dynamical evolutions	33
Nonlinear vibration characteristics of a rotor bearing system with irregular raceway defect	33
Dynamics of a cross-superdiffusive SIRS model with delay effects in transmission and treatment	33
Fixed-time adaptive neural tracking control for nonstrict-feedback nonlinear systems with mismatched disturbances using an event-triggered scheme	33
Towed wheel shimmy suppression through a nonlinear tuned vibration absorber	33
Three-dimensional nonlinear behaviors and stability analysis of high-speed aerostatic conical bearing-rotor system	33
A new model for bearing fault diagnosis based on optimized variational mode decomposition correlation coefficient weight threshold denoising and entropy feature fusion	33
Model order reduction and stochastic averaging for the analysis and design of micro-electro-mechanical systems	33
Fission and fusion solutions of the (2+1)-dimensional generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt equation: case of fluid mechanics and plasma physics	33
Finite-time fault detection for stochastic nonlinear networked control systems via interval type-2 T-S fuzzy framework	33
Multi-scale quadratic convolutional neural network for bearing fault diagnosis based on multi-sensor data fusion	33
In-plane vibrations of slightly curved beams: two models compared	33
Synchronization and phase balancing in networked chaotic systems with ring lattice and small world networks	33
Transient mixed lubrication analysis of the hydrodynamic bearing-rotor system during start-up considering misalignment and wear	33
Simple Circuit Implementation of String Scaling Fractional-order Memristor with Fixed Valid Frequency Range	33
Probabilistic maps on bistable vibration energy harvesters	33
Almost sure consensus of stochastic nonlinear multi-agent systems via event-triggered control	33
Spatial patterns and chimera states in discrete memristor coupled neural networks	32
A data-driven spatiotemporal model predictive control strategy for nonlinear distributed parameter systems	32
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	32
Bifurcation analysis, chaotic behaviors, sensitivity analysis, and soliton solutions of a generalized Schrödinger equation	32
Solitons, kink-solitons and breather solutions of the two-coupled incoherent nonlinear Schrödinger equation	32
Initial-offset-boosted coexisting hyperchaos in a 2D memristive Chialvo neuron map and its application in image encryption	32