Nonlinear Dynamics

Article	Citations
Continuation of periodic orbits in conservative hybrid dynamical systems and its application to mechanical systems with impulsive dynamics	246
Bifurcation scenarios in the hardware-in-the-loop experiments of highly interrupted milling processes	215
On spatial synchronisation as a manifestation of irregular energy cascades in continuous media under the transition to criticality	151
Pressure-induced nonlinear resonance frequency changes for extracting Young’s modulus of nanodrums	143
Epistemic stability and nonlinear dynamics in selection of suboptimal cluster counts in medical images validation dataset as a cluster homogeneity measure	137
Controller design for switched systems with nonlinear sub-systems using common Lyapunov functions	132
How the reversible change of contact networks affects the epidemic spreading	131
Evolutionary dynamics of predator in a community of interacting species	128
Lyapunov functions and regions of attraction for spherically constrained relative orbital motion	127
Robotic controller design for sporadic events using large deviations theory	126
From Gauss–Newton method solving nonlinear least squares problem of static overdetermined system to multi-instant neurodynamic algorithms handling future time-variant situation	125
An improved methodology to restrict the range of motion of mechanical joints	123
Regularised Volterra series models for modelling of nonlinear self-excited forces on bridge decks	115
Periodic decentralized event-triggered control for nonlinear systems with asynchronous update and dynamic quantization	115
Coherent structures of lump-soliton for the PT-symmetric nonlocal Davey-Stewartson III equation on a background of constant or periodic line waves	115
Asymptotic stability of Hilfer fractional neutral stochastic differential equations with time-varying delays and non-instantaneous impulses	115
Mathematical modeling the dynamics of SARS-CoV-2 infection with antibody-dependent enhancement	110
Stroboscopic control and tracking of periodic states	105
Dynamic analysis of a diabetes mathematical model including heredity parameter and multiple time delays	104
Weak solutions and symbolic verification of peakon structures in higher-order b-family Novikov equations	102
IRLTS rumor propagation model considering the influence of lurking psychology and the truth of rumors	100
Vibration reduction characteristics of nonlinear energy sink with segmented cubic stiffness under forced excitation	100
Effect of ratio threshold control on epidemic dynamics: analysis of an SIR model with non-monotonic incidence	99
Double-layer game-based optimal event-triggered consensus control for stochastic multiagent systems against deception attacks	96
Predefined-time VFO control design for unicycle-like mobile robots	94

Identification of friction in joints for multibody dynamics: a Neural-DAE based approach	92
Adaptive under-actuated control for capacitive micro-machined ultrasonic transducer based on an accurate nonlinear modeling	91
Analytical approach for nonlinear vibration response of the thin cylindrical shell with a straight crack	88
Oceanic internal solitary wave interactions via the KP equation in a three-layer fluid with shear flow	88
Spatiotemporal dynamics in discrete memristive Josephson junction array with electric and magnetic couplings under a controllable energy injection	86
Characterization and vibration control of a magnetorheological damper-based tail support for wind tunnel tests	84
Lump solution, lump-stripe solution, rogue wave solution and periodic solution of the (2 + 1)-dimensional Fokas system	84
Migration-connected networks of Lotka–Volterra and quasi-polynomial systems: modeling and decentralized control	82
Cubic-quartic optical solitons of the complex Ginzburg-Landau equation: A novel approach	81
A stochastic agent-based model to evaluate COVID-19 transmission influenced by human mobility	81
Study on nonlinear dynamic behavior and stability of aviation pressure servo valve-controlled cylinder system	80
Modeling car-following behavior in heterogeneous traffic mixing human-driven, automated and connected vehicles: considering multitype vehicle interactions	78
Dynamics of excited piecewise linear oscillators	76
Discrete Time-Delay Memristive Chaotic Map and Its Applications	76
Interaction properties of double-hump solitons in the dispersion decreasing fiber	76
Regime transition and multi-scroll hyperchaos in a discrete neuron model	76
Precise impact time and angle guidance strategy under time-varying velocity	75
Dynamical analysis of an improved FitzHugh-Nagumo neuron model with multiplier-free implementation	74
Practical tracking control under actuator saturation for a class of flexible-joint robotic manipulators driven by DC motors	73
Numerical study of wave disturbances of the high order nonlinear Boussinesq equations arising in engineering	72
Integral of motion and nonlinear dynamics of three Duffing oscillators with weak or strong bidirectional coupling	72
Capability verification and error source investigation of external force sensing methods of continuum robot	71
Bifurcation analysis for the discretized-fractionalized Holling type-IV predator–prey system	71
Bursting dynamics induced by amplitude-modulated excitation in the composite nonlinear oscillator	70
Integration of Hamiltonian equations with two degrees of freedom for a truncated normal form at 2:1 resonance	70
Nonlinear vibration of a cantilever bistable symmetric laminate using a SDOF model	70
Adaptive asymptotic stabilization of uncertain nonstrict feedback nonlinear HOFA systems with time delays	69
Riemann-Hilbert problem and multiple poles solution for an extended modified Korteweg-de Vries equation with zero/nonzero boundary conditions	69
N-soliton solutions and nonlinear dynamics for two generalized Broer–Kaup systems	69
Wave propagation in nonlinear locally coupled resonant Kresling origami metamaterials	68
Event-triggered adaptive tracking control for uncertain nonlinear systems with preassigned prescribed performance constraints under three cases	68
Soliton, breather-like and dark-soliton-breather-like solutions for the coupled long-wave–short-wave system	68
Nonlinear free vibration analysis of doubly curved shells	67
Analyzing N-solitons, breathers, and hybrid interactions: comparisons of localized wave dynamics through data points	66
Model reduction of rotor-foundation systems using the approximate invariant manifold method	66
Extension of the bouncing ball model to a vibratory conveying system	65
A semi-analytical solution in time domain for evaluating the nonlinear normal modes of a cantilever beam with a tip nonlinearity	65
Experimental and numerical investigation on the relationship between stick–slip vibration and rate of penetration	65
Nonlinear vibrations of a rotor with support nonlinearities considering bounded uncertainties	64
Wronskian $$\pmb {N}$$-soliton solutions to a generalized KdV equation in ($$\pmb {2+1}$$)-dimensions	64
A novel dynamic model and the oblique interaction for ocean internal solitary waves	63
Research on microscopic traffic flow modeling and energy characteristics in the energy-saving driving environment	63
A novel explainable fault diagnosis model for homogenization process using probabilistic Boolean network	63
Truncated predictor stabilization control for interconnected nonlinear systems with time-varying input delay	62
Dynamic mechanism of epileptic seizures generation and propagation after ischemic stroke	62
Revisited chaotic vibrations in dielectric elastomer systems with stiffening	62
Command-filtered compound FAT learning control of fractional-order nonlinear systems with input delay and external disturbances	61
Kernel methods for regression in continuous time over subsets and manifolds	61
Correction to: Uncertainty-corrected fractional generalized Pareto motion for lithium-ion battery life prediction and value-at-risk-based maintenance framework	61
An adaptive finite-time formation control against actuator attacks in nonlinear singular multiagent systems	61

Study on transient dynamics of the pyrotechnic-driven large flexible expansion mechanism	60
Transmission model and optimal control strategy of the fifth wave of COVID-19 in hong kong with age-heterogeneity	60
Spontaneous symmetry breaking induced by interaction in linearly coupled binary Bose–Einstein condensates	60
Dynamic output feedback control for fractional-order delayed systems subject to actuator saturation	59
Formation control of networked mobile robots with weighted directed topology using the Udwadia–Kalaba approach	59
Bifurcation analysis of period-1 attractors in a soft impacting oscillator	58
Novel hybrid-type solutions for the (3+1)-dimensional generalized Bogoyavlensky–Konopelchenko equation with time-dependent coefficients	58
Load adaptivity of the mem-spring and its performance benefits in vehicle suspensions	57
Numerical study of heat transfer in a 3D triangular prism with a rotating cylinder using ternary hybrid nanofluids and a new regression model	56
Nonlinear tunnelling of 3D partially nonlocal nonautonomous nondegenerate vector solitons in a linear external potential	56
Secure finite-time filtering for switched fuzzy systems with scaling attacks and stochastic sensor faults	56
Nonlinear vibrations of a sandwich piezo-beam system under piezoelectric actuation	56
Regulation-aware cooperative path following control of maritime autonomous surface ships with fully unknown model parameters	56
A scaling law approach to rate fabrication tolerances of double-sided electrostatic actuators	55
Time series classification of dynamical systems using deterministic learning	55
Frequency-response curves for rate-independent hysteretic mechanical responses of complex shape	54
A new 5D Hamiltonian conservative hyperchaotic system with four center type equilibrium points, wide range and coexisting hyperchaotic orbits	54
Uniform non-degeneracy discrete chaotic system and its application in image encryption	54
A study of torsional vibration attenuation in closed-loop crankshaft model using absorbers with cubic and quintic smooth nonlinearities	54
Design of a new quasi-zero-stiffness isolator system with nonlinear positive stiffness configuration and its novel features	54
Two-variable boosting bifurcation in a hyperchaotic map and its hardware implementation	54
Current-driven magnetization reversal dynamics and breather-like EM soliton propagation in biaxial anisotropic weak ferromagnetic nanowire	53
Investigation on the 1:2 internal resonance of an FGM blade	53
A novel reservoir computing for inferring hyperchaotic systems from partial observation	51
Fully actuated system approach to robust control for uncertain active suspension systems	51
Model-free group consensus of multi-agent systems using critic-only reinforcement learning	51
Data-driven fault-tolerant path-following control for USV based on fixed-time guidance and fuzzy disturbance observer	51
Sensitivity analysis of the rotor-bearing system with fractional power nonlinearity using multicomplex variable derivation	51
Performance review of locking alleviation methods for continuum ANCF beam elements	51
Synchronization and stability characteristics of a double-pendulum coupling vibrating system driven by two vibrators	51
An energy flow analysis for multibody dynamic behavior of cable-membrane system	50
Fingerprints of body dysmorphic disorder in functional brain networks	50
Application of weighted iterative autocorrelation coefficient and stochastic hopfield network in bearing fault detection under variable speed conditions	50
Global tracking control of flexible joint robots via barrier function-based filters	49
Quantization-based tracking control for fuzzy singularly perturbed Markov jump systems with incomplete transition information and packet dropout	49
Optical soliton solutions via the Biswas–Milovic equation: Quasi-periodic behavior, sensitivity, and bifurcation	49
Hopf–Hopf bifurcation analysis based on resonance and non-resonance in a simplified railway wheelset model	49
Quantized event-triggered-based finite-time $$\text {H}_\infty $$ control for interval type-2 fuzzy Markov jump systems with random coupling delays	48
A spacetime variational integration approach to the full discretization of flexible beams based on absolute nodal coordinate formulation	47
Performance enhancement of galloping-based piezoelectric energy harvesting by exploiting 1:1 internal resonance of magnetically coupled oscillators	47
Dynamical analysis and accelerated adaptive backstepping control of MEMS triaxial gyroscope with output constraints	46
Nonlinear and chaotic behavior in spatial vibration signal of cone valve core	46
Study on safety characteristics of the spur gear pair considering time-varying backlash in the established multi-level safety domains	46
Non-uniform wear evolution of gear tooth surface under complicated excitations in a locomotive	46
A new hysteresis model based on Weibull cumulative distribution function and Jiles–Atherton hysteresis model	46
A novel quasi-zero-stiffness isolation platform via tunable positive and negative stiffness compensation mechanism	46
A novel distributed Kalman filtering for health state recognition of aero-engine components in networked control systems	45
Vortex light bullets in a twisted cold atomic system with $$\mathcal{P}\mathcal{T}$$-symmetric anharmonic potential	45
How a ball free to orbit in a circular track mitigates the galloping of a square prism	45
Robust adaptive formation control for nonlinear multi-agent systems with range constraints	45
Integrated uncertain optimal design strategy for truss configuration and attitude–vibration control in rigid–flexible coupling structure with interval uncertainties	45
Optimum design parameters for double concave friction pendulum system considering ground motion characteristics and friction heating	45
Breather and lump-periodic wave solutions to a system of nonlinear wave model arising in fluid mechanics	45
Structural and electrical dynamics of a grating-patterned triboelectric energy harvester with stick–slip oscillation and magnetic bistability	45
The centered alignment multikernel nonhomogeneous gray model and its application	45
Fixed-time sliding mode trajectory tracking control for marine surface vessels with input saturation and prescribed performance constraints	45
An adaptive event-triggered secondary regulation strategy for microgrids with communication link faults	44
Sloshing reduced-order model trained with Smoothed Particle Hydrodynamics simulations	44
Band evolution and 2D nonreciprocal wave propagation in strongly nonlinear meta-plates	44
Theoretical and experimental studies on nonlinear dynamic performances of gas journal bearing with three pads-rotor system	44
Singular value decomposition-based stochastic admissibility and robust extended dissipativity for delayed hybrid descriptor systems under a unified framework	44
Parametric roll oscillations of a hydrodynamic Chaplygin sleigh	44
Different bifurcations and slow dynamics underlying different stochastic dynamics of slow, medium, and fast bursting of β-cell	44
Dynamics of a single-strain and two-strain respiratory infection driven by travel on a metapopulation network	44
Harmonic balance-based nonsmooth modal analysis of unilaterally constrained discrete systems	43
Interaction phenomena between solitons, lumps and breathers for the combined KP3-4 equation	43
Multi-fold Darboux transforms and interaction solutions of localized waves to a general vector mKdV equation	43
Effects of stochastic perturbations on the tree–grass coexistence in savannas	43
Multi-status mating mechanism and incomplete bifurcation of an internal gear system with time-variant parameters and temperature	42
Experimental modeling of compact double-gas-chamber hydro-pneumatic strut considering gas temperature and heat transfer	42
Exploring the influence of hunting cooperation, fear, and incommensurate memory effects on generalist predator-prey model	42
NES-EBVIS: an enhanced broadband vibration isolation system with a nonlinear energy sink absorber	42
Simple Circuit Implementation of String Scaling Fractional-order Memristor with Fixed Valid Frequency Range	42
Dynamics of a cross-superdiffusive SIRS model with delay effects in transmission and treatment	42
Robust fault accommodation approach for double-pendulum tower cranes via adaptive neural network-triggered control	42
Model order reduction and stochastic averaging for the analysis and design of micro-electro-mechanical systems	42
User-level malicious behavior analysis model based on the NMF-GMM algorithm and ensemble strategy	42
Probabilistic maps on bistable vibration energy harvesters	42
Finite-time fault detection for stochastic nonlinear networked control systems via interval type-2 T-S fuzzy framework	42
Correction to: Impedance force control with uniform exponential stability for variable stiffness environments	41

Gaussian process regression combined with dynamic data reconciliation for improving the performance of nonlinear dynamic systems	41
Interaction of wave structure in the generalized perturbed KdV equation in mechanics	41
Research and experimental verification on transmission performance of 3D modification herringbone gear	41
Solitons, kink-solitons and breather solutions of the two-coupled incoherent nonlinear Schrödinger equation	41
An asymmetric quasi-zero stiffness vibration isolator with long stroke and large bearing capacity	41
Painlevé integrability and multi-wave pattern for (2+1)-dimensional long wave–short wave resonance interaction system	41
A novel hybrid algorithm with static and dynamic models for air quality index forecasting	40
Adaptive critic design for enhanced control of waverider vehicles with nonaffine nonlinearities	40
Slow–fast analysis of a modified Leslie–Gower model with Holling type I functional response	40
Study on the vibration characteristics of worm drive with different contact forms	40
A new derivation of (2 + 1)-dimensional Schrödinger equation with separated real and imaginary parts of the dependent variable and its solitary wave solutions	40
Nth-order smooth positon and breather-positon solutions for the generalized integrable discrete nonlinear Schrödinger equation	40
Correction to: A topological framework for identifying phenomenological bifurcations in stochastic dynamical systems	40
Exploiting a novel perturbation structure to overcome manufacturing defect and modal overlap in mode localization MEMS gyroscope	40
Friction-induced planar vibration of a two-rigid-disc system with a finite contact area subjected to uncertain friction	39
Asymmetric vibrations and chaos in spherical caps under uniform time-varying pressure fields	39
Adaptive EPCH strategy for nonlinear systems with parameters uncertainty and disturbances	39
Stabilization of synchronous equilibria in regular dynamical networks with delayed coupling	39
Three-dimensional nonlinear behaviors and stability analysis of high-speed aerostatic conical bearing-rotor system	39
From deterministic to stochastic: limits of extracting bifurcation diagrams for noisy bistable oscillators with the control-based continuation method	39
Impurity effects in a network of mean-field coupled Rössler oscillators	39
Influences of inherent geometrical nonlinearity of high-static-low-dynamic-stiffness resonator on flexural wave attenuation performance of metamaterial beam	39
Dynamics and energy harvesting from parametrically coupled self-excited electromechanical oscillator	39
Multi-scale quadratic convolutional neural network for bearing fault diagnosis based on multi-sensor data fusion	38
A novel model for 1D chaotic map generation with FPGA implementation and PRNG application	38
Coupling failure dynamics of tooth surface morphology and wear based on fractal theory	38
Nonlinear mechanism for paradoxical facilitation of spike induced by inhibitory synapse in auditory nervous system for sound localization	38
Remote sensing image compression and encryption based on block compressive sensing and 2D-LCCCM	38
In-plane vibrations of slightly curved beams: two models compared	38
A novel image encryption algorithm based on hyperchaotic system with cross-feedback structure and diffusive DNA coding operations	38
Bilinear Bäcklund, Lax pairs, breather waves, lump waves and soliton interaction of (2+1)-dimensional non-autonomous Kadomtsev–Petviashvili equation	38
Learning with Mandelbrot and Julia	38
Adaptive signal-correction-based identification for friction perception of the vibration-driven limbless robot	38
Improved funnel-based predefined-time formation tracking and mismatched disturbance rejection control for multiple QUAVs	38
Spontaneous symmetry breaking induced by inhomogeneous nonlinearity in the coupled nonlinear Schrödinger equation	38
Stability and nonlinear vibration of an axially moving plate interacting with magnetic field and subsonic airflow in a narrow gap	38
Nonlinear dynamics analysis in pneumatic tire modeling	37
Nonlinear stiffness identification of parametrically excited systems based on damping adjustment	37
Robust finite-time fault-tolerant control for vehicle height and posture regulation with air suspension system subject to actuator faults, uncertainties and external disturbance	37
Numerical Hopf normal form for delay-differential equations	37
Synchronization and phase balancing in networked chaotic systems with ring lattice and small world networks	37
Theoretical and experimental investigation on an improved rack and pinion inerter	37
Looking for suitable rules for true random number generation with asynchronous cellular automata	37
Distributed time-varying formation tracking of multi-quadrotor systems with partial aperiodic sampled data	37
Secure containment control of time-delay complex-valued multi-agent systems against different attacks	37
Applications of empirical wavelet decomposition, statistical feature extraction, and antlion algorithm with support vector regression for resident electricity consumption forecasting	37
Nonaxisymmetric magnetoelastic coupling natural vibration analysis of annular plates in an induced nonuniform magnetic field	36
Activating internal resonance in a microelectromechanical system by inducing impacts	36
Valley Hall edge solitons in honeycomb lattice with an armchair-type domain wall	36
Stability analysis of multi-area interconnected power systems under denial of service (DoS) attack	36
Almost sure consensus of stochastic nonlinear multi-agent systems via event-triggered control	36
Experimental and numerical investigation of a vertical vibration isolator for seismic applications	36
Energy transfer and localization in a forced cyclic chain of oscillators with vibro-impact nonlinear energy sinks	36
Climate change in mechanical systems: the snapshot view of parallel dynamical evolutions	36
Stochastic analysis of vibro-impact bistable energy harvester system under colored noise	36
A data-driven spatiotemporal model predictive control strategy for nonlinear distributed parameter systems	35
Rogue waves on the periodic wave background in the Kadomtsev–Petviashvili I equation	35
Investigation of chatter suppression by using rotating composite boring bar CNT-filled based on a modified nonlinear dynamical model	35
Hamiltonian energy computation and complex behavior of a small heterogeneous network of three neurons: circuit implementation	35
Image encryption model based on novel magic square with differential encoding and chaotic map	35
Data-driven soliton solutions and parameter identification of the nonlocal nonlinear Schrödinger equation using the physics-informed neural network algorithm with parameter regularization	35
Fixed-time adaptive fuzzy control for nonlinear interconnection high-order systems with unknown control direction	35
Stochastic vibration responses of the bistable electromagnetic actuator with elastic boundary controlled by the random signals	35
Single-coil metal detector based on spiking chaotic oscillator	35
Fuzzy Adaptive Predefined Time and Precision Control for Nonlinear Systems with Unknown Control Direction	35
Complex bursting dynamics in a Rayleigh–Liénard oscillator	35
Dynamic analysis of a $$\pmb {SI_{1}I_{2}AD}$$ information dissemination model considering the word of mouth	34
Finite-time extended state observer enhanced nonsingular terminal sliding mode control for buck converters in the presence of disturbances: design, analysis and experiments	34
Stability analysis of chaotic systems from data	34
Spatial solitons in non-parity-time-symmetric complex potentials with competing cubic–quintic nonlinearities	34
A new model for bearing fault diagnosis based on optimized variational mode decomposition correlation coefficient weight threshold denoising and entropy feature fusion	34
A dual-neuron memristive hopfield neural network and its application in image encryption	34
Higher-order vector rogue waves in inhomogeneous optical media: insights into variable-coefficient coupled nonlinear schrödinger model with four-wave mixing	34
FPGA implementation of Hopfield neural network with transcendental nonlinearity	34
Coexistence behavior of a double-MR-based cellular neural network system and its circuit implementation	34
Collaborative optimization design framework for hierarchical filter barrier control suspension system with projection adaptive tracking hydraulic actuator	34
Lump solitions, fractal soliton solutions, superposed periodic wave solutions and bright-dark soliton solutions of the generalized (3+1)-dimensional KP equation via BNNM	34
Fission and fusion solutions of the (2+1)-dimensional generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt equation: case of fluid mechanics and plasma physics	34
Transient mixed lubrication analysis of the hydrodynamic bearing-rotor system during start-up considering misalignment and wear	33
Dynamic precision reliability of the aircraft landing gear retraction mechanism under coupled extreme working conditions	33
Bifurcation analysis, chaotic behaviors, sensitivity analysis, and soliton solutions of a generalized Schrödinger equation	33
When do chemical synapses modulate the formation of spiral waves?	33
Towed wheel shimmy suppression through a nonlinear tuned vibration absorber	33
Experimental and numerical study on motion instability of modular floating structures	33
Multiple bifurcation solitons, lumps and rogue waves solutions of a generalized perturbed KdV equation	33
The variable separation solution, fractal and chaos in an extended coupled (2+1)-dimensional Burgers system	33
Fixed-time adaptive neural tracking control for nonstrict-feedback nonlinear systems with mismatched disturbances using an event-triggered scheme	33
Nonlinear vibration characteristics of a rotor bearing system with irregular raceway defect	33
Nonlinear oscillation of active magnetic bearing–rotor systems with a time-delayed proportional–derivative controller	33
Nonlinear dynamic behaviors of a shaft-bearing-pedestal system with outer ring slip and damage	33
Conformable bilinear neural network method: a novel method for time-fractional nonlinear partial differential equations in the sense of conformable derivative	32
Analysis of non-pharmaceutical interventions impacts on COVID-19 pandemic in Iran	32
A general discrete memristor emulator based on Taylor expansion for the reconfigurable FPGA implementation and its application	32
Experience replay-based dynamic event-triggered optimal control for nonlinear switched systems with actuator failure	32
Memristive Hénon map with hidden Neimark–Sacker bifurcations	32