Nonlinear Dynamics

Article	Citations
Numerical study of heat transfer in a 3D triangular prism with a rotating cylinder using ternary hybrid nanofluids and a new regression model	228
Continuation of periodic orbits in conservative hybrid dynamical systems and its application to mechanical systems with impulsive dynamics	214
Fully actuated system approach to robust control for uncertain active suspension systems	211
Dynamics of excited piecewise linear oscillators	184
Dynamic output feedback control for fractional-order delayed systems subject to actuator saturation	183
Coherent structures of lump-soliton for the PT-symmetric nonlocal Davey-Stewartson III equation on a background of constant or periodic line waves	152
Numerical study of wave disturbances of the high order nonlinear Boussinesq equations arising in engineering	147
Experimental and numerical investigation on the relationship between stick–slip vibration and rate of penetration	143
Regularised Volterra series models for modelling of nonlinear self-excited forces on bridge decks	135
Optimization of periodic input waveforms for global entrainment of weakly forced limit-cycle oscillators	117
Mathematical modeling the dynamics of SARS-CoV-2 infection with antibody-dependent enhancement	116
Interaction properties of double-hump solitons in the dispersion decreasing fiber	114
N-soliton solutions and nonlinear dynamics for two generalized Broer–Kaup systems	113
Performance review of locking alleviation methods for continuum ANCF beam elements	112
Nonautonomous lump waves of a (3+1)-dimensional Kudryashov–Sinelshchikov equation with variable coefficients in bubbly liquids	112
Adaptive asymptotic stabilization of uncertain nonstrict feedback nonlinear HOFA systems with time delays	109
Bifurcation scenarios in the hardware-in-the-loop experiments of highly interrupted milling processes	109
Correction to: Motion planning for redundant multi-bodied planar kinematic snake robots	105
Effect of ratio threshold control on epidemic dynamics: analysis of an SIR model with non-monotonic incidence	105
Precise impact time and angle guidance strategy under time-varying velocity	102
On spatial synchronisation as a manifestation of irregular energy cascades in continuous media under the transition to criticality	100
Existence of quasi-periodic responses in quasi-periodically forced nonlinear mechanical systems	100
Analysis of elasto-plastic thin-shell structures using layered plastic modeling and absolute nodal coordinate formulation	99
Pressure-induced nonlinear resonance frequency changes for extracting Young’s modulus of nanodrums	97
Critical thresholds for mode-coupling instability in viscoelastic sliding contacts	97

Dynamic mechanism of epileptic seizures generation and propagation after ischemic stroke	97
Epistemic stability and nonlinear dynamics in selection of suboptimal cluster counts in medical images validation dataset as a cluster homogeneity measure	96
IRLTS rumor propagation model considering the influence of lurking psychology and the truth of rumors	96
Soliton, breather-like and dark-soliton-breather-like solutions for the coupled long-wave–short-wave system	95
Time series classification of dynamical systems using deterministic learning	93
Controller design for switched systems with nonlinear sub-systems using common Lyapunov functions	91
Current-driven magnetization reversal dynamics and breather-like EM soliton propagation in biaxial anisotropic weak ferromagnetic nanowire	89
A novel dynamic model and the oblique interaction for ocean internal solitary waves	88
How the reversible change of contact networks affects the epidemic spreading	86
A scaling law approach to rate fabrication tolerances of double-sided electrostatic actuators	86
Stroboscopic control and tracking of periodic states	84
Evolutionary dynamics of predator in a community of interacting species	84
Lyapunov functions and regions of attraction for spherically constrained relative orbital motion	83
Wave propagation in nonlinear locally coupled resonant Kresling origami metamaterials	82
Capability verification and error source investigation of external force sensing methods of continuum robot	81
Sensitivity analysis of the rotor-bearing system with fractional power nonlinearity using multicomplex variable derivation	80
Formation control of networked mobile robots with weighted directed topology using the Udwadia–Kalaba approach	78
Nonlinear vibrations of a rotor with support nonlinearities considering bounded uncertainties	78
Numerical simulation on a limit cycle oscillation of a rectangular sheet in three-dimensional flow: influence of vortex element model on post-critical behavior	76
Robotic controller design for sporadic events using large deviations theory	76
From Gauss–Newton method solving nonlinear least squares problem of static overdetermined system to multi-instant neurodynamic algorithms handling future time-variant situation	76
Spontaneous symmetry breaking induced by interaction in linearly coupled binary Bose–Einstein condensates	73
Two-variable boosting bifurcation in a hyperchaotic map and its hardware implementation	73
The centered alignment multikernel nonhomogeneous gray model and its application	72
Truncated predictor stabilization control for interconnected nonlinear systems with time-varying input delay	71
Event-triggered adaptive tracking control for uncertain nonlinear systems with preassigned prescribed performance constraints under three cases	69
Lump solution, lump-stripe solution, rogue wave solution and periodic solution of the (2 + 1)-dimensional Fokas system	68
Bursting dynamics induced by amplitude-modulated excitation in the composite nonlinear oscillator	65
An improved methodology to restrict the range of motion of mechanical joints	65
A novel explainable fault diagnosis model for homogenization process using probabilistic Boolean network	65
Migration-connected networks of Lotka–Volterra and quasi-polynomial systems: modeling and decentralized control	64
Dynamic analysis of a diabetes mathematical model including heredity parameter and multiple time delays	63
Research on microscopic traffic flow modeling and energy characteristics in the energy-saving driving environment	63
Robust adaptive formation control for nonlinear multi-agent systems with range constraints	63
Secure finite-time filtering for switched fuzzy systems with scaling attacks and stochastic sensor faults	62
Predefined-time VFO control design for unicycle-like mobile robots	62
Regulation-aware cooperative path following control of maritime autonomous surface ships with fully unknown model parameters	62
Correction to: Uncertainty-corrected fractional generalized Pareto motion for lithium-ion battery life prediction and value-at-risk-based maintenance framework	61
Spectral analysis and soliton structures for the Hermitian symmetric space Fokas–Lenells equation	60
Breather and lump-periodic wave solutions to a system of nonlinear wave model arising in fluid mechanics	60
Vortex light bullets in a twisted cold atomic system with $$\mathcal{P}\mathcal{T}$$-symmetric anharmonic potential	60
Transmission model and optimal control strategy of the fifth wave of COVID-19 in hong kong with age-heterogeneity	60
Practical tracking control under actuator saturation for a class of flexible-joint robotic manipulators driven by DC motors	59
A new hysteresis model based on Weibull cumulative distribution function and Jiles–Atherton hysteresis model	59
Quantized event-triggered-based finite-time $$\text {H}_\infty $$ control for interval type-2 fuzzy Markov jump systems with random coupling delays	58
An adaptive finite-time formation control against actuator attacks in nonlinear singular multiagent systems	58
Periodic decentralized event-triggered control for nonlinear systems with asynchronous update and dynamic quantization	58
Vibration absorption of a rectangular plate supporting a DC motor with a TLCD	58
Investigation on the 1:2 internal resonance of an FGM blade	57
Uniform non-degeneracy discrete chaotic system and its application in image encryption	57

Design of a new quasi-zero-stiffness isolator system with nonlinear positive stiffness configuration and its novel features	57
Nonlinear vibrations of a sandwich piezo-beam system under piezoelectric actuation	57
Double-layer game-based optimal event-triggered consensus control for stochastic multiagent systems against deception attacks	57
Adaptive under-actuated control for capacitive micro-machined ultrasonic transducer based on an accurate nonlinear modeling	56
Integration of Hamiltonian equations with two degrees of freedom for a truncated normal form at 2:1 resonance	56
A novel distributed Kalman filtering for health state recognition of aero-engine components in networked control systems	55
A stochastic agent-based model to evaluate COVID-19 transmission influenced by human mobility	55
Fingerprints of body dysmorphic disorder in functional brain networks	55
Suppression of vibration transmission in coupled systems with an inerter-based nonlinear joint	55
Extension of the bouncing ball model to a vibratory conveying system	54
Characterization and vibration control of a magnetorheological damper-based tail support for wind tunnel tests	54
Oceanic internal solitary wave interactions via the KP equation in a three-layer fluid with shear flow	54
A new 5D Hamiltonian conservative hyperchaotic system with four center type equilibrium points, wide range and coexisting hyperchaotic orbits	54
Kernel methods for regression in continuous time over subsets and manifolds	54
Dynamical analysis of an improved FitzHugh-Nagumo neuron model with multiplier-free implementation	53
Riemann-Hilbert problem and multiple poles solution for an extended modified Korteweg-de Vries equation with zero/nonzero boundary conditions	53
Study on transient dynamics of the pyrotechnic-driven large flexible expansion mechanism	53
Energy shaping dynamic tube-MPC for underactuated mechanical systems	53
Model reduction of rotor-foundation systems using the approximate invariant manifold method	52
Modeling car-following behavior in heterogeneous traffic mixing human-driven, automated and connected vehicles: considering multitype vehicle interactions	52
Nonlinear tunnelling of 3D partially nonlocal nonautonomous nondegenerate vector solitons in a linear external potential	52
Nonlinear vibration of a cantilever bistable symmetric laminate using a SDOF model	51
Novel hybrid-type solutions for the (3+1)-dimensional generalized Bogoyavlensky–Konopelchenko equation with time-dependent coefficients	51
Bifurcation analysis for the discretized-fractionalized Holling type-IV predator–prey system	51
Load adaptivity of the mem-spring and its performance benefits in vehicle suspensions	51
Study on nonlinear dynamic behavior and stability of aviation pressure servo valve-controlled cylinder system	50
Solving localized wave solutions of the derivative nonlinear Schrödinger equation using an improved PINN method	50
Quantization-based tracking control for fuzzy singularly perturbed Markov jump systems with incomplete transition information and packet dropout	50
Multiple attractors and strange nonchaotic dynamical behavior in a periodically forced system	50
Resonance $$\varvec{Y}$$-type soliton, hybrid and quasi-periodic wave solutions of a generalized $$\varvec{(2+1)}$$-dimensional nonlinear wave equation	50
Study on safety characteristics of the spur gear pair considering time-varying backlash in the established multi-level safety domains	50
A novel quasi-zero-stiffness isolation platform via tunable positive and negative stiffness compensation mechanism	50
Wronskian $$\pmb {N}$$-soliton solutions to a generalized KdV equation in ($$\pmb {2+1}$$)-dimensions	50
Bifurcation analysis of period-1 attractors in a soft impacting oscillator	50
Integral of motion and nonlinear dynamics of three Duffing oscillators with weak or strong bidirectional coupling	49
Nonlinear free vibration analysis of doubly curved shells	49
Synchronization and stability characteristics of a double-pendulum coupling vibrating system driven by two vibrators	49
Command-filtered compound FAT learning control of fractional-order nonlinear systems with input delay and external disturbances	49
Revisited chaotic vibrations in dielectric elastomer systems with stiffening	49
Asymptotic stability of Hilfer fractional neutral stochastic differential equations with time-varying delays and non-instantaneous impulses	48
Parameter estimation of the incubation period of COVID-19 based on the doubly interval-censored data model	48
A spacetime variational integration approach to the full discretization of flexible beams based on absolute nodal coordinate formulation	48
Performance enhancement of galloping-based piezoelectric energy harvesting by exploiting 1:1 internal resonance of magnetically coupled oscillators	47
Regime transition and multi-scroll hyperchaos in a discrete neuron model	47
Structural and electrical dynamics of a grating-patterned triboelectric energy harvester with stick–slip oscillation and magnetic bistability	47
An energy flow analysis for multibody dynamic behavior of cable-membrane system	47
Non-uniform wear evolution of gear tooth surface under complicated excitations in a locomotive	46
Hopf–Hopf bifurcation analysis based on resonance and non-resonance in a simplified railway wheelset model	46
How a ball free to orbit in a circular track mitigates the galloping of a square prism	46
A semi-analytical solution in time domain for evaluating the nonlinear normal modes of a cantilever beam with a tip nonlinearity	46
Cubic-quartic optical solitons of the complex Ginzburg-Landau equation: A novel approach	46
Analytical approach for nonlinear vibration response of the thin cylindrical shell with a straight crack	46
Integrated uncertain optimal design strategy for truss configuration and attitude–vibration control in rigid–flexible coupling structure with interval uncertainties	45
Fixed-time sliding mode trajectory tracking control for marine surface vessels with input saturation and prescribed performance constraints	45
Dynamical analysis and accelerated adaptive backstepping control of MEMS triaxial gyroscope with output constraints	45
Frequency-response curves for rate-independent hysteretic mechanical responses of complex shape	45
Analyzing N-solitons, breathers, and hybrid interactions: comparisons of localized wave dynamics through data points	45
A study of torsional vibration attenuation in closed-loop crankshaft model using absorbers with cubic and quintic smooth nonlinearities	45
Nonlinear dynamic behaviors of a shaft-bearing-pedestal system with outer ring slip and damage	44
Single-coil metal detector based on spiking chaotic oscillator	44
Nonlinear vibration characteristics of a rotor bearing system with irregular raceway defect	44
Coexistence behavior of a double-MR-based cellular neural network system and its circuit implementation	43
Stability analysis of chaotic systems from data	43
Dynamics and energy harvesting from parametrically coupled self-excited electromechanical oscillator	43
Bilinear Bäcklund, Lax pairs, breather waves, lump waves and soliton interaction of (2+1)-dimensional non-autonomous Kadomtsev–Petviashvili equation	42
When do chemical synapses modulate the formation of spiral waves?	42
Multi-scale quadratic convolutional neural network for bearing fault diagnosis based on multi-sensor data fusion	42
Study on the vibration characteristics of worm drive with different contact forms	42
Influences of inherent geometrical nonlinearity of high-static-low-dynamic-stiffness resonator on flexural wave attenuation performance of metamaterial beam	42
Energy transfer and localization in a forced cyclic chain of oscillators with vibro-impact nonlinear energy sinks	42
Adaptive EPCH strategy for nonlinear systems with parameters uncertainty and disturbances	42
Model order reduction and stochastic averaging for the analysis and design of micro-electro-mechanical systems	42
Analysis of non-pharmaceutical interventions impacts on COVID-19 pandemic in Iran	41
Finite-time fault detection for stochastic nonlinear networked control systems via interval type-2 T-S fuzzy framework	41
Finite-time extended state observer enhanced nonsingular terminal sliding mode control for buck converters in the presence of disturbances: design, analysis and experiments	41
Stochastic analysis of vibro-impact bistable energy harvester system under colored noise	41
Numerical Hopf normal form for delay-differential equations	41
Lump solitions, fractal soliton solutions, superposed periodic wave solutions and bright-dark soliton solutions of the generalized (3+1)-dimensional KP equation via BNNM	40
Stability analysis of multi-area interconnected power systems under denial of service (DoS) attack	40
Adaptive critic design for enhanced control of waverider vehicles with nonaffine nonlinearities	40

Experience replay-based dynamic event-triggered optimal control for nonlinear switched systems with actuator failure	40
Prescribed-time ESO-based prescribed-time control and its application to partial IGC design	40
Singular value decomposition-based stochastic admissibility and robust extended dissipativity for delayed hybrid descriptor systems under a unified framework	40
Investigation of chatter suppression by using rotating composite boring bar CNT-filled based on a modified nonlinear dynamical model	40
Robust finite-time fault-tolerant control for vehicle height and posture regulation with air suspension system subject to actuator faults, uncertainties and external disturbance	40
Dynamics of a cross-superdiffusive SIRS model with delay effects in transmission and treatment	40
Sloshing reduced-order model trained with Smoothed Particle Hydrodynamics simulations	39
Symmetry and relative equilibria of a bicycle system moving on a surface of revolution	39
Friction-induced planar vibration of a two-rigid-disc system with a finite contact area subjected to uncertain friction	39
Activating internal resonance in a microelectromechanical system by inducing impacts	39
An adaptive event-triggered secondary regulation strategy for microgrids with communication link faults	39
Climate change in mechanical systems: the snapshot view of parallel dynamical evolutions	39
Gaussian process regression combined with dynamic data reconciliation for improving the performance of nonlinear dynamic systems	38
Dynamics of a single-strain and two-strain respiratory infection driven by travel on a metapopulation network	38
Correction to: Modelling personal cautiousness during the COVID-19 pandemic: a case study for Turkey and Italy	38
Painlevé integrability and multi-wave pattern for (2+1)-dimensional long wave–short wave resonance interaction system	38
Stochastic vibration responses of the bistable electromagnetic actuator with elastic boundary controlled by the random signals	38
Nonaxisymmetric magnetoelastic coupling natural vibration analysis of annular plates in an induced nonuniform magnetic field	38
Multi-fold Darboux transforms and interaction solutions of localized waves to a general vector mKdV equation	38
Experimental and numerical investigation of a vertical vibration isolator for seismic applications	38
Spatial solitons in non-parity-time-symmetric complex potentials with competing cubic–quintic nonlinearities	37
Augmented perpetual manifolds and perpetual mechanical systems-part II: theorem for dissipative mechanical systems behaving as perpetual machines of third kind	37
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
Spontaneous symmetry breaking induced by inhomogeneous nonlinearity in the coupled nonlinear Schrödinger equation	37
Harmonic balance-based nonsmooth modal analysis of unilaterally constrained discrete systems	37
Parametric roll oscillations of a hydrodynamic Chaplygin sleigh	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
Asymmetric vibrations and chaos in spherical caps under uniform time-varying pressure fields	37
Effects of stochastic perturbations on the tree–grass coexistence in savannas	37
Dynamic analysis of a $$\pmb {SI_{1}I_{2}AD}$$ information dissemination model considering the word of mouth	37
Valley Hall edge solitons in honeycomb lattice with an armchair-type domain wall	37
Applications of empirical wavelet decomposition, statistical feature extraction, and antlion algorithm with support vector regression for resident electricity consumption forecasting	37
Distributed time-varying formation tracking of multi-quadrotor systems with partial aperiodic sampled data	37
Different bifurcations and slow dynamics underlying different stochastic dynamics of slow, medium, and fast bursting of β-cell	36
Experimental modeling of compact double-gas-chamber hydro-pneumatic strut considering gas temperature and heat transfer	36
Correction to: Dynamic behavior of prostate cancer cells under antitumor immunity and pulse vaccination in a random environment	36
Band evolution and 2D nonreciprocal wave propagation in strongly nonlinear meta-plates	36
Interaction phenomena between solitons, lumps and breathers for the combined KP3-4 equation	36
Fixed-time adaptive neural tracking control for nonstrict-feedback nonlinear systems with mismatched disturbances using an event-triggered scheme	36
Multi-status mating mechanism and incomplete bifurcation of an internal gear system with time-variant parameters and temperature	36
Correction to: Dynamic analysis of 1-dof and 2-dof nonlinear energy sink with geometrically nonlinear damping and combined stiffness	35
Correction to: A topological framework for identifying phenomenological bifurcations in stochastic dynamical systems	35
Conformable bilinear neural network method: a novel method for time-fractional nonlinear partial differential equations in the sense of conformable derivative	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
Theoretical and experimental studies on nonlinear dynamic performances of gas journal bearing with three pads-rotor system	35
Interaction of wave structure in the generalized perturbed KdV equation in mechanics	35
From deterministic to stochastic: limits of extracting bifurcation diagrams for noisy bistable oscillators with the control-based continuation method	35
Dynamic precision reliability of the aircraft landing gear retraction mechanism under coupled extreme working conditions	35
Theoretical and experimental investigation on an improved rack and pinion inerter	35
Optimum design parameters for double concave friction pendulum system considering ground motion characteristics and friction heating	35
A general discrete memristor emulator based on Taylor expansion for the reconfigurable FPGA implementation and its application	35
Stabilization of synchronous equilibria in regular dynamical networks with delayed coupling	35
Transient mixed lubrication analysis of the hydrodynamic bearing-rotor system during start-up considering misalignment and wear	34
Secure containment control of time-delay complex-valued multi-agent systems against different attacks	34
Stability and nonlinear vibration of an axially moving plate interacting with magnetic field and subsonic airflow in a narrow gap	34
Nonlinear mechanism for paradoxical facilitation of spike induced by inhibitory synapse in auditory nervous system for sound localization	34
A dual-neuron memristive hopfield neural network and its application in image encryption	34
Nth-order smooth positon and breather-positon solutions for the generalized integrable discrete nonlinear Schrödinger equation	34
Nonlinear dynamics analysis in pneumatic tire modeling	34
Fixed-time adaptive fuzzy control for nonlinear interconnection high-order systems with unknown control direction	34
The variable separation solution, fractal and chaos in an extended coupled (2+1)-dimensional Burgers system	34
Three-dimensional nonlinear behaviors and stability analysis of high-speed aerostatic conical bearing-rotor system	34
Spatial patterns and chimera states in discrete memristor coupled neural networks	34
Probabilistic maps on bistable vibration energy harvesters	34
Image encryption model based on novel magic square with differential encoding and chaotic map	34
Research on nonlinear static and dynamic characteristics of linear guideway in machine tools considering carriage flexibility	34
Robust fault accommodation approach for double-pendulum tower cranes via adaptive neural network-triggered control	33
Adaptive signal-correction-based identification for friction perception of the vibration-driven limbless robot	33
User-level malicious behavior analysis model based on the NMF-GMM algorithm and ensemble strategy	33
Almost sure consensus of stochastic nonlinear multi-agent systems via event-triggered control	33
Bifurcation analysis, chaotic behaviors, sensitivity analysis, and soliton solutions of a generalized Schrödinger equation	33
Global dynamics of a ring-tethered three-satellite system in any plane	33
Research and experimental verification on transmission performance of 3D modification herringbone gear	33
Rogue waves on the periodic wave background in the Kadomtsev–Petviashvili I equation	33
An asymmetric quasi-zero stiffness vibration isolator with long stroke and large bearing capacity	33
Impurity effects in a network of mean-field coupled Rössler oscillators	33
NES-EBVIS: an enhanced broadband vibration isolation system with a nonlinear energy sink absorber	32
Exploiting a novel perturbation structure to overcome manufacturing defect and modal overlap in mode localization MEMS gyroscope	32
Magneto-electro-elastic modelling and nonlinear vibration analysis of bi-directional functionally graded beams	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
A new model for bearing fault diagnosis based on optimized variational mode decomposition correlation coefficient weight threshold denoising and entropy feature fusion	32
Synchronization and phase balancing in networked chaotic systems with ring lattice and small world networks	32
Multiple bifurcation solitons, lumps and rogue waves solutions of a generalized perturbed KdV equation	32
Hamiltonian energy computation and complex behavior of a small heterogeneous network of three neurons: circuit implementation	32
Fission and fusion solutions of the (2+1)-dimensional generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt equation: case of fluid mechanics and plasma physics	32
A data-driven spatiotemporal model predictive control strategy for nonlinear distributed parameter systems	32
Simple Circuit Implementation of String Scaling Fractional-order Memristor with Fixed Valid Frequency Range	32
Collaborative optimization design framework for hierarchical filter barrier control suspension system with projection adaptive tracking hydraulic actuator	32
State filtered disturbance rejection control	32
Looking for suitable rules for true random number generation with asynchronous cellular automata	32
Nonlinear oscillation of active magnetic bearing–rotor systems with a time-delayed proportional–derivative controller	32
Complex bursting dynamics in a Rayleigh–Liénard oscillator	32
Lévy noise-induced self-induced stochastic resonance in a memristive neuron	32
Solitons, kink-solitons and breather solutions of the two-coupled incoherent nonlinear Schrödinger equation	32
Remote sensing image compression and encryption based on block compressive sensing and 2D-LCCCM	32