Nonlinear Dynamics

Article	Citations
Continuation of periodic orbits in conservative hybrid dynamical systems and its application to mechanical systems with impulsive dynamics	222
Numerical study of heat transfer in a 3D triangular prism with a rotating cylinder using ternary hybrid nanofluids and a new regression model	222
How a ball free to orbit in a circular track mitigates the galloping of a square prism	208
Bifurcation analysis of period-1 attractors in a soft impacting oscillator	203
Fully actuated system approach to robust control for uncertain active suspension systems	181
Novel hybrid-type solutions for the (3+1)-dimensional generalized Bogoyavlensky–Konopelchenko equation with time-dependent coefficients	178
Dynamics of excited piecewise linear oscillators	145
A new 5D Hamiltonian conservative hyperchaotic system with four center type equilibrium points, wide range and coexisting hyperchaotic orbits	142
Dynamic output feedback control for fractional-order delayed systems subject to actuator saturation	141
Coherent structures of lump-soliton for the PT-symmetric nonlocal Davey-Stewartson III equation on a background of constant or periodic line waves	133
Numerical study of wave disturbances of the high order nonlinear Boussinesq equations arising in engineering	130
Experimental and numerical investigation on the relationship between stick–slip vibration and rate of penetration	116
Regularised Volterra series models for modelling of nonlinear self-excited forces on bridge decks	114
Optimization of periodic input waveforms for global entrainment of weakly forced limit-cycle oscillators	114
Mathematical modeling the dynamics of SARS-CoV-2 infection with antibody-dependent enhancement	113
Interaction properties of double-hump solitons in the dispersion decreasing fiber	111
A study of torsional vibration attenuation in closed-loop crankshaft model using absorbers with cubic and quintic smooth nonlinearities	107
Study on nonlinear dynamic behavior and stability of aviation pressure servo valve-controlled cylinder system	106
N-soliton solutions and nonlinear dynamics for two generalized Broer–Kaup systems	106
Nonautonomous lump waves of a (3+1)-dimensional Kudryashov–Sinelshchikov equation with variable coefficients in bubbly liquids	104
A stochastic agent-based model to evaluate COVID-19 transmission influenced by human mobility	102
Kernel methods for regression in continuous time over subsets and manifolds	101
Performance review of locking alleviation methods for continuum ANCF beam elements	100
Adaptive asymptotic stabilization of uncertain nonstrict feedback nonlinear HOFA systems with time delays	99
Bifurcation scenarios in the hardware-in-the-loop experiments of highly interrupted milling processes	96

Effect of ratio threshold control on epidemic dynamics: analysis of an SIR model with non-monotonic incidence	96
Correction to: Motion planning for redundant multi-bodied planar kinematic snake robots	95
Precise impact time and angle guidance strategy under time-varying velocity	94
Existence of quasi-periodic responses in quasi-periodically forced nonlinear mechanical systems	93
Multiple attractors and strange nonchaotic dynamical behavior in a periodically forced system	91
On spatial synchronisation as a manifestation of irregular energy cascades in continuous media under the transition to criticality	91
Analysis of elasto-plastic thin-shell structures using layered plastic modeling and absolute nodal coordinate formulation	90
Critical thresholds for mode-coupling instability in viscoelastic sliding contacts	88
Performance enhancement of galloping-based piezoelectric energy harvesting by exploiting 1:1 internal resonance of magnetically coupled oscillators	87
Riemann-Hilbert problem and multiple poles solution for an extended modified Korteweg-de Vries equation with zero/nonzero boundary conditions	86
Dynamic mechanism of epileptic seizures generation and propagation after ischemic stroke	86
Pressure-induced nonlinear resonance frequency changes for extracting Young’s modulus of nanodrums	86
Nonlinear free vibration analysis of doubly curved shells	83
Epistemic stability and nonlinear dynamics in selection of suboptimal cluster counts in medical images validation dataset as a cluster homogeneity measure	83
IRLTS rumor propagation model considering the influence of lurking psychology and the truth of rumors	82
Controller design for switched systems with nonlinear sub-systems using common Lyapunov functions	82
Time series classification of dynamical systems using deterministic learning	82
Soliton, breather-like and dark-soliton-breather-like solutions for the coupled long-wave–short-wave system	82
Current-driven magnetization reversal dynamics and breather-like EM soliton propagation in biaxial anisotropic weak ferromagnetic nanowire	80
A novel dynamic model and the oblique interaction for ocean internal solitary waves	78
A scaling law approach to rate fabrication tolerances of double-sided electrostatic actuators	77
Load adaptivity of the mem-spring and its performance benefits in vehicle suspensions	76
Hopf–Hopf bifurcation analysis based on resonance and non-resonance in a simplified railway wheelset model	76
Stroboscopic control and tracking of periodic states	74
How the reversible change of contact networks affects the epidemic spreading	74
Evolutionary dynamics of predator in a community of interacting species	71
Lyapunov functions and regions of attraction for spherically constrained relative orbital motion	71
Wave propagation in nonlinear locally coupled resonant Kresling origami metamaterials	69
Capability verification and error source investigation of external force sensing methods of continuum robot	68
Sensitivity analysis of the rotor-bearing system with fractional power nonlinearity using multicomplex variable derivation	68
Formation control of networked mobile robots with weighted directed topology using the Udwadia–Kalaba approach	67
Resonance $$\varvec{Y}$$-type soliton, hybrid and quasi-periodic wave solutions of a generalized $$\varvec{(2+1)}$$-dimensional nonlinear wave equation	65
Study on transient dynamics of the pyrotechnic-driven large flexible expansion mechanism	63
Integral of motion and nonlinear dynamics of three Duffing oscillators with weak or strong bidirectional coupling	62
Extension of the bouncing ball model to a vibratory conveying system	62
Numerical simulation on a limit cycle oscillation of a rectangular sheet in three-dimensional flow: influence of vortex element model on post-critical behavior	62
From Gauss–Newton method solving nonlinear least squares problem of static overdetermined system to multi-instant neurodynamic algorithms handling future time-variant situation	62
Nonlinear vibrations of a rotor with support nonlinearities considering bounded uncertainties	62
Robotic controller design for sporadic events using large deviations theory	62
Two-variable boosting bifurcation in a hyperchaotic map and its hardware implementation	61
Spontaneous symmetry breaking induced by interaction in linearly coupled binary Bose–Einstein condensates	60
Truncated predictor stabilization control for interconnected nonlinear systems with time-varying input delay	60
The centered alignment multikernel nonhomogeneous gray model and its application	60
Lump solution, lump-stripe solution, rogue wave solution and periodic solution of the (2 + 1)-dimensional Fokas system	59
Command-filtered compound FAT learning control of fractional-order nonlinear systems with input delay and external disturbances	59
Event-triggered adaptive tracking control for uncertain nonlinear systems with preassigned prescribed performance constraints under three cases	59
An improved methodology to restrict the range of motion of mechanical joints	58
Nonlinear tunnelling of 3D partially nonlocal nonautonomous nondegenerate vector solitons in a linear external potential	57
A novel explainable fault diagnosis model for homogenization process using probabilistic Boolean network	56
Bursting dynamics induced by amplitude-modulated excitation in the composite nonlinear oscillator	56

Model reduction of rotor-foundation systems using the approximate invariant manifold method	55
Correction to: Uncertainty-corrected fractional generalized Pareto motion for lithium-ion battery life prediction and value-at-risk-based maintenance framework	55
Robust adaptive formation control for nonlinear multi-agent systems with range constraints	55
Migration-connected networks of Lotka–Volterra and quasi-polynomial systems: modeling and decentralized control	55
Dynamic analysis of a diabetes mathematical model including heredity parameter and multiple time delays	55
NSGA-II as feature selection technique and AdaBoost classifier for COVID-19 prediction using patient’s symptoms	55
Energy shaping dynamic tube-MPC for underactuated mechanical systems	55
Regulation-aware cooperative path following control of maritime autonomous surface ships with fully unknown model parameters	55
Regime transition and multi-scroll hyperchaos in a discrete neuron model	54
Analyzing N-solitons, breathers, and hybrid interactions: comparisons of localized wave dynamics through data points	54
Revisited chaotic vibrations in dielectric elastomer systems with stiffening	54
Research on microscopic traffic flow modeling and energy characteristics in the energy-saving driving environment	54
Frequency-response curves for rate-independent hysteretic mechanical responses of complex shape	53
Predefined-time VFO control design for unicycle-like mobile robots	53
Vortex light bullets in a twisted cold atomic system with $$\mathcal{P}\mathcal{T}$$-symmetric anharmonic potential	53
Secure finite-time filtering for switched fuzzy systems with scaling attacks and stochastic sensor faults	53
Breather and lump-periodic wave solutions to a system of nonlinear wave model arising in fluid mechanics	52
Periodic decentralized event-triggered control for nonlinear systems with asynchronous update and dynamic quantization	52
Solving localized wave solutions of the derivative nonlinear Schrödinger equation using an improved PINN method	52
Spectral analysis and soliton structures for the Hermitian symmetric space Fokas–Lenells equation	51
Parameter estimation of the incubation period of COVID-19 based on the doubly interval-censored data model	50
Practical tracking control under actuator saturation for a class of flexible-joint robotic manipulators driven by DC motors	50
Quantized event-triggered-based finite-time $$\text {H}_\infty $$ control for interval type-2 fuzzy Markov jump systems with random coupling delays	50
A new hysteresis model based on Weibull cumulative distribution function and Jiles–Atherton hysteresis model	50
Transmission model and optimal control strategy of the fifth wave of COVID-19 in hong kong with age-heterogeneity	50
Investigation on the 1:2 internal resonance of an FGM blade	49
Vibration absorption of a rectangular plate supporting a DC motor with a TLCD	49
An adaptive finite-time formation control against actuator attacks in nonlinear singular multiagent systems	49
A novel distributed Kalman filtering for health state recognition of aero-engine components in networked control systems	49
Fixed-time sliding mode trajectory tracking control for marine surface vessels with input saturation and prescribed performance constraints	49
Synchronization and stability characteristics of a double-pendulum coupling vibrating system driven by two vibrators	49
Non-uniform wear evolution of gear tooth surface under complicated excitations in a locomotive	48
Uniform non-degeneracy discrete chaotic system and its application in image encryption	48
Design of a new quasi-zero-stiffness isolator system with nonlinear positive stiffness configuration and its novel features	48
A semi-analytical solution in time domain for evaluating the nonlinear normal modes of a cantilever beam with a tip nonlinearity	48
Modeling car-following behavior in heterogeneous traffic mixing human-driven, automated and connected vehicles: considering multitype vehicle interactions	48
A spacetime variational integration approach to the full discretization of flexible beams based on absolute nodal coordinate formulation	48
An energy flow analysis for multibody dynamic behavior of cable-membrane system	48
Structural and electrical dynamics of a grating-patterned triboelectric energy harvester with stick–slip oscillation and magnetic bistability	47
Nonlinear vibrations of a sandwich piezo-beam system under piezoelectric actuation	47
Oceanic internal solitary wave interactions via the KP equation in a three-layer fluid with shear flow	47
Analytical approach for nonlinear vibration response of the thin cylindrical shell with a straight crack	47
Cubic-quartic optical solitons of the complex Ginzburg-Landau equation: A novel approach	47
Double-layer game-based optimal event-triggered consensus control for stochastic multiagent systems against deception attacks	47
Integrated uncertain optimal design strategy for truss configuration and attitude–vibration control in rigid–flexible coupling structure with interval uncertainties	46
Quantization-based tracking control for fuzzy singularly perturbed Markov jump systems with incomplete transition information and packet dropout	46
Dynamical analysis of an improved FitzHugh-Nagumo neuron model with multiplier-free implementation	46
Wronskian $$\pmb {N}$$-soliton solutions to a generalized KdV equation in ($$\pmb {2+1}$$)-dimensions	46
Study on safety characteristics of the spur gear pair considering time-varying backlash in the established multi-level safety domains	46
Suppression of vibration transmission in coupled systems with an inerter-based nonlinear joint	46
Color image encryption using orthogonal Latin squares and a new 2D chaotic system	45
Dynamical analysis and accelerated adaptive backstepping control of MEMS triaxial gyroscope with output constraints	45
A novel quasi-zero-stiffness isolation platform via tunable positive and negative stiffness compensation mechanism	45
Nonlinear oscillation of active magnetic bearing–rotor systems with a time-delayed proportional–derivative controller	44
Adaptive under-actuated control for capacitive micro-machined ultrasonic transducer based on an accurate nonlinear modeling	44
Complex bursting dynamics in a Rayleigh–Liénard oscillator	44
Research on nonlinear static and dynamic characteristics of linear guideway in machine tools considering carriage flexibility	44
Three-dimensional nonlinear behaviors and stability analysis of high-speed aerostatic conical bearing-rotor system	43
Spatial patterns and chimera states in discrete memristor coupled neural networks	43
Stabilization of synchronous equilibria in regular dynamical networks with delayed coupling	43
A dual-neuron memristive hopfield neural network and its application in image encryption	43
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
Entropy analysis of human death uncertainty	42
Lévy noise-induced self-induced stochastic resonance in a memristive neuron	42
Single-coil metal detector based on spiking chaotic oscillator	42
Impurity effects in a network of mean-field coupled Rössler oscillators	42
Dynamics and energy harvesting from parametrically coupled self-excited electromechanical oscillator	42
A novel image encryption algorithm based on hyperchaotic system with cross-feedback structure and diffusive DNA coding operations	42
Nonlinear dynamic behaviors of a shaft-bearing-pedestal system with outer ring slip and damage	41
Nonlinear vibration characteristics of a rotor bearing system with irregular raceway defect	41
Model order reduction and stochastic averaging for the analysis and design of micro-electro-mechanical systems	41
State filtered disturbance rejection control	41
Collaborative optimization design framework for hierarchical filter barrier control suspension system with projection adaptive tracking hydraulic actuator	41
Coexistence behavior of a double-MR-based cellular neural network system and its circuit implementation	41
An asymmetric quasi-zero stiffness vibration isolator with long stroke and large bearing capacity	40
Multi-scale quadratic convolutional neural network for bearing fault diagnosis based on multi-sensor data fusion	40
Stability analysis of chaotic systems from data	40
Energy transfer and localization in a forced cyclic chain of oscillators with vibro-impact nonlinear energy sinks	40
Almost sure consensus of stochastic nonlinear multi-agent systems via event-triggered control	40
Conformable bilinear neural network method: a novel method for time-fractional nonlinear partial differential equations in the sense of conformable derivative	39

Transient mixed lubrication analysis of the hydrodynamic bearing-rotor system during start-up considering misalignment and wear	39
Bilinear Bäcklund, Lax pairs, breather waves, lump waves and soliton interaction of (2+1)-dimensional non-autonomous Kadomtsev–Petviashvili equation	39
Adaptive EPCH strategy for nonlinear systems with parameters uncertainty and disturbances	39
The variable separation solution, fractal and chaos in an extended coupled (2+1)-dimensional Burgers system	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
Secure containment control of time-delay complex-valued multi-agent systems against different attacks	39
Study on the vibration characteristics of worm drive with different contact forms	39
Multiple bifurcation solitons, lumps and rogue waves solutions of a generalized perturbed KdV equation	39
Slow–fast analysis of a modified Leslie–Gower model with Holling type I functional response	38
Influences of inherent geometrical nonlinearity of high-static-low-dynamic-stiffness resonator on flexural wave attenuation performance of metamaterial beam	38
Numerical Hopf normal form for delay-differential equations	38
Stability and nonlinear vibration of an axially moving plate interacting with magnetic field and subsonic airflow in a narrow gap	38
A new model for bearing fault diagnosis based on optimized variational mode decomposition correlation coefficient weight threshold denoising and entropy feature fusion	37
Remote sensing image compression and encryption based on block compressive sensing and 2D-LCCCM	37
Finite-time extended state observer enhanced nonsingular terminal sliding mode control for buck converters in the presence of disturbances: design, analysis and experiments	37
An adaptive event-triggered secondary regulation strategy for microgrids with communication link faults	37
Sloshing reduced-order model trained with Smoothed Particle Hydrodynamics simulations	37
When do chemical synapses modulate the formation of spiral waves?	37
Chaotic time series prediction using echo state network based on selective opposition grey wolf optimizer	37
Activating internal resonance in a microelectromechanical system by inducing impacts	37
User-level malicious behavior analysis model based on the NMF-GMM algorithm and ensemble strategy	37
Friction-induced planar vibration of a two-rigid-disc system with a finite contact area subjected to uncertain friction	37
Fission and fusion solutions of the (2+1)-dimensional generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt equation: case of fluid mechanics and plasma physics	37
Singular value decomposition-based stochastic admissibility and robust extended dissipativity for delayed hybrid descriptor systems under a unified framework	37
A new locally active memristive synapse-coupled neuron model	37
Analysis of non-pharmaceutical interventions impacts on COVID-19 pandemic in Iran	37
Symmetry and relative equilibria of a bicycle system moving on a surface of revolution	37
FPGA implementation of Hopfield neural network with transcendental nonlinearity	37
Nonlinear mechanism for paradoxical facilitation of spike induced by inhibitory synapse in auditory nervous system for sound localization	37
Climate change in mechanical systems: the snapshot view of parallel dynamical evolutions	37
Augmented perpetual manifolds and perpetual mechanical systems-part II: theorem for dissipative mechanical systems behaving as perpetual machines of third kind	36
A novel hybrid algorithm with static and dynamic models for air quality index forecasting	36
Gaussian process regression combined with dynamic data reconciliation for improving the performance of nonlinear dynamic systems	36
Nonaxisymmetric magnetoelastic coupling natural vibration analysis of annular plates in an induced nonuniform magnetic field	36
Stochastic vibration responses of the bistable electromagnetic actuator with elastic boundary controlled by the random signals	36
Experimental and numerical investigation of a vertical vibration isolator for seismic applications	36
Adaptive signal-correction-based identification for friction perception of the vibration-driven limbless robot	36
Correction to: Modelling personal cautiousness during the COVID-19 pandemic: a case study for Turkey and Italy	36
Fixed-time adaptive fuzzy control for nonlinear interconnection high-order systems with unknown control direction	36
Nth-order smooth positon and breather-positon solutions for the generalized integrable discrete nonlinear Schrödinger equation	36
Multi-fold Darboux transforms and interaction solutions of localized waves to a general vector mKdV equation	36
Input-to-state stability of hybrid stochastic systems with unbounded delays and impulsive effects	36
Painlevé integrability and multi-wave pattern for (2+1)-dimensional long wave–short wave resonance interaction system	36
Dynamics of a single-strain and two-strain respiratory infection driven by travel on a metapopulation network	36
Spontaneous symmetry breaking induced by inhomogeneous nonlinearity in the coupled nonlinear Schrödinger equation	35
A new derivation of (2 + 1)-dimensional Schrödinger equation with separated real and imaginary parts of the dependent variable and its solitary wave solutions	35
Dynamic analysis of a $$\pmb {SI_{1}I_{2}AD}$$ information dissemination model considering the word of mouth	35
Distributed time-varying formation tracking of multi-quadrotor systems with partial aperiodic sampled data	35
Applications of empirical wavelet decomposition, statistical feature extraction, and antlion algorithm with support vector regression for resident electricity consumption forecasting	35
Parametric roll oscillations of a hydrodynamic Chaplygin sleigh	35
Asymmetric vibrations and chaos in spherical caps under uniform time-varying pressure fields	35
Pfaffian, soliton, breather and hybrid solutions for a (2+1)-dimensional combined potential Kadomtsev-Petviashvili-B-type Kadomtsev-Petviashvili equation in fluid mechanics	35
Valley Hall edge solitons in honeycomb lattice with an armchair-type domain wall	35
Image encryption model based on novel magic square with differential encoding and chaotic map	34
Experimental modeling of compact double-gas-chamber hydro-pneumatic strut considering gas temperature and heat transfer	34
Band evolution and 2D nonreciprocal wave propagation in strongly nonlinear meta-plates	34
Correction to: Dynamic behavior of prostate cancer cells under antitumor immunity and pulse vaccination in a random environment	34
Harmonic balance-based nonsmooth modal analysis of unilaterally constrained discrete systems	34
Multi-status mating mechanism and incomplete bifurcation of an internal gear system with time-variant parameters and temperature	34
Different bifurcations and slow dynamics underlying different stochastic dynamics of slow, medium, and fast bursting of β-cell	34
Global dynamics of a ring-tethered three-satellite system in any plane	34
Spatial solitons in non-parity-time-symmetric complex potentials with competing cubic–quintic nonlinearities	34
Interaction phenomena between solitons, lumps and breathers for the combined KP3-4 equation	34
Effects of stochastic perturbations on the tree–grass coexistence in savannas	34
Fixed-time adaptive neural tracking control for nonstrict-feedback nonlinear systems with mismatched disturbances using an event-triggered scheme	34
Dynamic precision reliability of the aircraft landing gear retraction mechanism under coupled extreme working conditions	33
Theoretical and experimental investigation on an improved rack and pinion inerter	33
Memristive Hénon map with hidden Neimark–Sacker bifurcations	33
Optimum design parameters for double concave friction pendulum system considering ground motion characteristics and friction heating	33
Interaction of wave structure in the generalized perturbed KdV equation in mechanics	33
Correction to: A topological framework for identifying phenomenological bifurcations in stochastic dynamical systems	33
Adaptive critic design for enhanced control of waverider vehicles with nonaffine nonlinearities	33
Theoretical and experimental studies on nonlinear dynamic performances of gas journal bearing with three pads-rotor system	33
A general discrete memristor emulator based on Taylor expansion for the reconfigurable FPGA implementation and its application	33
Correction to: Dynamic analysis of 1-dof and 2-dof nonlinear energy sink with geometrically nonlinear damping and combined stiffness	33
Solitons, kink-solitons and breather solutions of the two-coupled incoherent nonlinear Schrödinger equation	33
Looking for suitable rules for true random number generation with asynchronous cellular automata	33
From deterministic to stochastic: limits of extracting bifurcation diagrams for noisy bistable oscillators with the control-based continuation method	33
Data-driven soliton solutions and parameter identification of the nonlocal nonlinear Schrödinger equation using the physics-informed neural network algorithm with parameter regularization	32
Magneto-electro-elastic modelling and nonlinear vibration analysis of bi-directional functionally graded beams	32
Initial-offset-boosted coexisting hyperchaos in a 2D memristive Chialvo neuron map and its application in image encryption	32
Dynamics of a cross-superdiffusive SIRS model with delay effects in transmission and treatment	32
Rogue waves on the periodic wave background in the Kadomtsev–Petviashvili I equation	32
Probabilistic maps on bistable vibration energy harvesters	32
Hamiltonian energy computation and complex behavior of a small heterogeneous network of three neurons: circuit implementation	32
Prescribed-time ESO-based prescribed-time control and its application to partial IGC design	32
Bifurcation analysis, chaotic behaviors, sensitivity analysis, and soliton solutions of a generalized Schrödinger equation	32
Robust fault accommodation approach for double-pendulum tower cranes via adaptive neural network-triggered control	32
Design and analysis of a memristive Hopfield switching neural network and application to privacy protection	32
Experimental and numerical study on motion instability of modular floating structures	32
Effects of series sequence on the nonlinear dynamic responses of integrated quasi-zero stiffness isolators	31
Further physical study about solution structures for nonlinear q-deformed Sinh–Gordon equation along with bifurcation and chaotic behaviors	31
An optimal and modified homotopy perturbation method for strongly nonlinear differential equations	31
Estimation of exogenous drivers to predict COVID-19 pandemic using a method from nonlinear control theory	31
A data-driven spatiotemporal model predictive control strategy for nonlinear distributed parameter systems	31