Nonlinear Dynamics

Article	Citations
Continuation of periodic orbits in conservative hybrid dynamical systems and its application to mechanical systems with impulsive dynamics	271
On spatial synchronisation as a manifestation of irregular energy cascades in continuous media under the transition to criticality	218
Pressure-induced nonlinear resonance frequency changes for extracting Young’s modulus of nanodrums	158
Epistemic stability and nonlinear dynamics in selection of suboptimal cluster counts in medical images validation dataset as a cluster homogeneity measure	148
Controller design for switched systems with nonlinear sub-systems using common Lyapunov functions	139
Evolutionary dynamics of predator in a community of interacting species	136
Robotic controller design for sporadic events using large deviations theory	135
From Gauss–Newton method solving nonlinear least squares problem of static overdetermined system to multi-instant neurodynamic algorithms handling future time-variant situation	133
Periodic decentralized event-triggered control for nonlinear systems with asynchronous update and dynamic quantization	132
Asymptotic stability of Hilfer fractional neutral stochastic differential equations with time-varying delays and non-instantaneous impulses	131
Coherent structures of lump-soliton for the PT-symmetric nonlocal Davey-Stewartson III equation on a background of constant or periodic line waves	130
Dynamic analysis of a diabetes mathematical model including heredity parameter and multiple time delays	125
Data-driven fault-tolerant path-following control for USV based on fixed-time guidance and fuzzy disturbance observer	120
Global tracking control of flexible joint robots via barrier function-based filters	119
Migration-connected networks of Lotka–Volterra and quasi-polynomial systems: modeling and decentralized control	118
Weak solutions and symbolic verification of peakon structures in higher-order b-family Novikov equations	117
Identification of friction in joints for multibody dynamics: a Neural-DAE based approach	112
Practical tracking control under actuator saturation for a class of flexible-joint robotic manipulators driven by DC motors	110
Numerical study of wave disturbances of the high order nonlinear Boussinesq equations arising in engineering	109
Nonlinear vibration of a cantilever bistable symmetric laminate using a SDOF model	106
Bifurcation analysis for the discretized-fractionalized Holling type-IV predator–prey system	106
Integration of Hamiltonian equations with two degrees of freedom for a truncated normal form at 2:1 resonance	105
Riemann-Hilbert problem and multiple poles solution for an extended modified Korteweg-de Vries equation with zero/nonzero boundary conditions	104
Event-triggered adaptive tracking control for uncertain nonlinear systems with preassigned prescribed performance constraints under three cases	102
Wave propagation in nonlinear locally coupled resonant Kresling origami metamaterials	101

Nonlinear free vibration analysis of doubly curved shells	100
Wronskian $$\pmb {N}$$-soliton solutions to a generalized KdV equation in ($$\pmb {2+1}$$)-dimensions	95
A novel dynamic model and the oblique interaction for ocean internal solitary waves	95
The centered alignment multikernel nonhomogeneous gray model and its application	94
Spontaneous symmetry breaking induced by interaction in linearly coupled binary Bose–Einstein condensates	93
Investigation on the 1:2 internal resonance of an FGM blade	89
A new hysteresis model based on Weibull cumulative distribution function and Jiles–Atherton hysteresis model	89
Study on nonlinear dynamic behavior and stability of aviation pressure servo valve-controlled cylinder system	87
Double-layer game-based optimal event-triggered consensus control for stochastic multiagent systems against deception attacks	86
Bursting dynamics induced by amplitude-modulated excitation in the composite nonlinear oscillator	86
Fully actuated system approach to robust control for uncertain active suspension systems	85
A time-varying nonlinear dynamic analysis for preload degradation of bolted joint interfaces	82
Correction to: Uncertainty-corrected fractional generalized Pareto motion for lithium-ion battery life prediction and value-at-risk-based maintenance framework	80
Kernel methods for regression in continuous time over subsets and manifolds	79
An adaptive finite-time formation control against actuator attacks in nonlinear singular multiagent systems	79
Transmission model and optimal control strategy of the fifth wave of COVID-19 in hong kong with age-heterogeneity	78
Formation control of networked mobile robots with weighted directed topology using the Udwadia–Kalaba approach	78
Dynamic output feedback control for fractional-order delayed systems subject to actuator saturation	77
Model-free group consensus of multi-agent systems using critic-only reinforcement learning	76
Nonlinear tunnelling of 3D partially nonlocal nonautonomous nondegenerate vector solitons in a linear external potential	76
Time series classification of dynamical systems using deterministic learning	76
Secure finite-time filtering for switched fuzzy systems with scaling attacks and stochastic sensor faults	76
Current-driven magnetization reversal dynamics and breather-like EM soliton propagation in biaxial anisotropic weak ferromagnetic nanowire	75
A novel reservoir computing for inferring hyperchaotic systems from partial observation	75
Sensitivity analysis of the rotor-bearing system with fractional power nonlinearity using multicomplex variable derivation	74
Discrete Time-Delay Memristive Chaotic Map and Its Applications	73
Design of a new quasi-zero-stiffness isolator system with nonlinear positive stiffness configuration and its novel features	72
Experimental and numerical investigation on the relationship between stick–slip vibration and rate of penetration	71
Lump solution, lump-stripe solution, rogue wave solution and periodic solution of the (2 + 1)-dimensional Fokas system	71
Stroboscopic control and tracking of periodic states	71
Revisited chaotic vibrations in dielectric elastomer systems with stiffening	71
Adaptive under-actuated control for capacitive micro-machined ultrasonic transducer based on an accurate nonlinear modeling	70
A scaling law approach to rate fabrication tolerances of double-sided electrostatic actuators	69
A stochastic agent-based model to evaluate COVID-19 transmission influenced by human mobility	69
Regularised Volterra series models for modelling of nonlinear self-excited forces on bridge decks	68
Modeling car-following behavior in heterogeneous traffic mixing human-driven, automated and connected vehicles: considering multitype vehicle interactions	68
Lyapunov functions and regions of attraction for spherically constrained relative orbital motion	68
Model reduction of rotor-foundation systems using the approximate invariant manifold method	67
Study on safety characteristics of the spur gear pair considering time-varying backlash in the established multi-level safety domains	66
Adaptive asymptotic stabilization of uncertain nonstrict feedback nonlinear HOFA systems with time delays	66
Fingerprints of body dysmorphic disorder in functional brain networks	66
Bifurcation scenarios in the hardware-in-the-loop experiments of highly interrupted milling processes	66
Nonlinear vibrations of a rotor with support nonlinearities considering bounded uncertainties	65
Characterization and vibration control of a magnetorheological damper-based tail support for wind tunnel tests	65
Extension of the bouncing ball model to a vibratory conveying system	65
Integral of motion and nonlinear dynamics of three Duffing oscillators with weak or strong bidirectional coupling	64
Uniform non-degeneracy discrete chaotic system and its application in image encryption	63
Vibration reduction characteristics of nonlinear energy sink with segmented cubic stiffness under forced excitation	63
Vortex light bullets in a twisted cold atomic system with $$\mathcal{P}\mathcal{T}$$-symmetric anharmonic potential	63
An improved methodology to restrict the range of motion of mechanical joints	63

Application of weighted iterative autocorrelation coefficient and stochastic hopfield network in bearing fault detection under variable speed conditions	63
Truncated predictor stabilization control for interconnected nonlinear systems with time-varying input delay	62
Effect of ratio threshold control on epidemic dynamics: analysis of an SIR model with non-monotonic incidence	62
Analyzing N-solitons, breathers, and hybrid interactions: comparisons of localized wave dynamics through data points	62
Study on transient dynamics of the pyrotechnic-driven large flexible expansion mechanism	61
Regulation-aware cooperative path following control of maritime autonomous surface ships with fully unknown model parameters	61
Interaction properties of double-hump solitons in the dispersion decreasing fiber	61
A novel distributed Kalman filtering for health state recognition of aero-engine components in networked control systems	59
How the reversible change of contact networks affects the epidemic spreading	59
Hopf–Hopf bifurcation analysis based on resonance and non-resonance in a simplified railway wheelset model	59
Mathematical modeling the dynamics of SARS-CoV-2 infection with antibody-dependent enhancement	58
A semi-analytical solution in time domain for evaluating the nonlinear normal modes of a cantilever beam with a tip nonlinearity	57
Quantized event-triggered-based finite-time $$\text {H}_\infty $$ control for interval type-2 fuzzy Markov jump systems with random coupling delays	57
Dynamical analysis of an improved FitzHugh-Nagumo neuron model with multiplier-free implementation	57
An energy flow analysis for multibody dynamic behavior of cable-membrane system	56
Quantization-based tracking control for fuzzy singularly perturbed Markov jump systems with incomplete transition information and packet dropout	56
Oceanic internal solitary wave interactions via the KP equation in a three-layer fluid with shear flow	56
IRLTS rumor propagation model considering the influence of lurking psychology and the truth of rumors	56
Synchronization and stability characteristics of a double-pendulum coupling vibrating system driven by two vibrators	56
Soliton, breather-like and dark-soliton-breather-like solutions for the coupled long-wave–short-wave system	56
A spacetime variational integration approach to the full discretization of flexible beams based on absolute nodal coordinate formulation	56
Structural and electrical dynamics of a grating-patterned triboelectric energy harvester with stick–slip oscillation and magnetic bistability	55
A study of torsional vibration attenuation in closed-loop crankshaft model using absorbers with cubic and quintic smooth nonlinearities	55
Performance review of locking alleviation methods for continuum ANCF beam elements	55
Robust adaptive formation control for nonlinear multi-agent systems with range constraints	55
Bifurcation analysis of period-1 attractors in a soft impacting oscillator	54
Nonlinear and chaotic behavior in spatial vibration signal of cone valve core	54
Two-variable boosting bifurcation in a hyperchaotic map and its hardware implementation	54
Analytical approach for nonlinear vibration response of the thin cylindrical shell with a straight crack	54
How a ball free to orbit in a circular track mitigates the galloping of a square prism	54
Load adaptivity of the mem-spring and its performance benefits in vehicle suspensions	53
Precise impact time and angle guidance strategy under time-varying velocity	52
Breather and lump-periodic wave solutions to a system of nonlinear wave model arising in fluid mechanics	52
Adaptive image-based visual servoing control of excavators with hydraulic actuator dynamics	52
Performance enhancement of galloping-based piezoelectric energy harvesting by exploiting 1:1 internal resonance of magnetically coupled oscillators	51
Numerical study of heat transfer in a 3D triangular prism with a rotating cylinder using ternary hybrid nanofluids and a new regression model	50
Optical soliton solutions via the Biswas–Milovic equation: Quasi-periodic behavior, sensitivity, and bifurcation	50
Dynamical analysis and accelerated adaptive backstepping control of MEMS triaxial gyroscope with output constraints	50
Cubic-quartic optical solitons of the complex Ginzburg-Landau equation: A novel approach	49
A new 5D Hamiltonian conservative hyperchaotic system with four center type equilibrium points, wide range and coexisting hyperchaotic orbits	49
A novel quasi-zero-stiffness isolation platform via tunable positive and negative stiffness compensation mechanism	49
Non-uniform wear evolution of gear tooth surface under complicated excitations in a locomotive	49
Frequency-response curves for rate-independent hysteretic mechanical responses of complex shape	49
A novel explainable fault diagnosis model for homogenization process using probabilistic Boolean network	48
Capability verification and error source investigation of external force sensing methods of continuum robot	48
Integrated uncertain optimal design strategy for truss configuration and attitude–vibration control in rigid–flexible coupling structure with interval uncertainties	48
Dynamic mechanism of epileptic seizures generation and propagation after ischemic stroke	48
Command-filtered compound FAT learning control of fractional-order nonlinear systems with input delay and external disturbances	48
Regime transition and multi-scroll hyperchaos in a discrete neuron model	48
Dynamics of excited piecewise linear oscillators	48
Research on microscopic traffic flow modeling and energy characteristics in the energy-saving driving environment	48
Predefined-time VFO control design for unicycle-like mobile robots	48
Fixed-time sliding mode trajectory tracking control for marine surface vessels with input saturation and prescribed performance constraints	47
Different bifurcations and slow dynamics underlying different stochastic dynamics of slow, medium, and fast bursting of β-cell	47
Nonlinear vibrations of a sandwich piezo-beam system under piezoelectric actuation	47
Band evolution and 2D nonreciprocal wave propagation in strongly nonlinear meta-plates	47
Spatiotemporal dynamics in discrete memristive Josephson junction array with electric and magnetic couplings under a controllable energy injection	47
Theoretical and experimental studies on nonlinear dynamic performances of gas journal bearing with three pads-rotor system	47
Multi-fold Darboux transforms and interaction solutions of localized waves to a general vector mKdV equation	46
Singular value decomposition-based stochastic admissibility and robust extended dissipativity for delayed hybrid descriptor systems under a unified framework	46
Effects of stochastic perturbations on the tree–grass coexistence in savannas	46
Dynamics of a single-strain and two-strain respiratory infection driven by travel on a metapopulation network	46
A novel hybrid algorithm with static and dynamic models for air quality index forecasting	45
NES-EBVIS: an enhanced broadband vibration isolation system with a nonlinear energy sink absorber	45
Exploring the influence of hunting cooperation, fear, and incommensurate memory effects on generalist predator-prey model	45
Image encryption model based on novel magic square with differential encoding and chaotic map	45
User-level malicious behavior analysis model based on the NMF-GMM algorithm and ensemble strategy	45
Memristive Hénon map with hidden Neimark–Sacker bifurcations	45
Experimental and numerical study on motion instability of modular floating structures	45
Nonlinear oscillation of active magnetic bearing–rotor systems with a time-delayed proportional–derivative controller	45
Dynamic precision reliability of the aircraft landing gear retraction mechanism under coupled extreme working conditions	44
Theoretical and experimental investigation on an improved rack and pinion inerter	44
Collaborative optimization design framework for hierarchical filter barrier control suspension system with projection adaptive tracking hydraulic actuator	44
Stochastic analysis of vibro-impact bistable energy harvester system under colored noise	44
A general discrete memristor emulator based on Taylor expansion for the reconfigurable FPGA implementation and its application	44
Bilinear Bäcklund, Lax pairs, breather waves, lump waves and soliton interaction of (2+1)-dimensional non-autonomous Kadomtsev–Petviashvili equation	43
A novel model for 1D chaotic map generation with FPGA implementation and PRNG application	43
Spontaneous symmetry breaking induced by inhomogeneous nonlinearity in the coupled nonlinear Schrödinger equation	43
Fission and fusion solutions of the (2+1)-dimensional generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt equation: case of fluid mechanics and plasma physics	43
Probabilistic maps on bistable vibration energy harvesters	43

Complex bursting dynamics in a Rayleigh–Liénard oscillator	43
Experimental and numerical investigation of a vertical vibration isolator for seismic applications	43
A new model for bearing fault diagnosis based on optimized variational mode decomposition correlation coefficient weight threshold denoising and entropy feature fusion	43
FPGA implementation of Hopfield neural network with transcendental nonlinearity	43
Nonlinear mechanism for paradoxical facilitation of spike induced by inhibitory synapse in auditory nervous system for sound localization	42
An adaptive event-triggered secondary regulation strategy for microgrids with communication link faults	42
A data-driven spatiotemporal model predictive control strategy for nonlinear distributed parameter systems	42
Remote sensing image compression and encryption based on block compressive sensing and 2D-LCCCM	42
Conformable bilinear neural network method: a novel method for time-fractional nonlinear partial differential equations in the sense of conformable derivative	42
Solitons, kink-solitons and breather solutions of the two-coupled incoherent nonlinear Schrödinger equation	42
Coupling failure dynamics of tooth surface morphology and wear based on fractal theory	42
Rogue waves on the periodic wave background in the Kadomtsev–Petviashvili I equation	42
Stability analysis of chaotic systems from data	42
Stability analysis of multi-area interconnected power systems under denial of service (DoS) attack	42
Correction to: Impedance force control with uniform exponential stability for variable stiffness environments	41
A new derivation of (2 + 1)-dimensional Schrödinger equation with separated real and imaginary parts of the dependent variable and its solitary wave solutions	41
Painlevé integrability and multi-wave pattern for (2+1)-dimensional long wave–short wave resonance interaction system	41
Exploiting a novel perturbation structure to overcome manufacturing defect and modal overlap in mode localization MEMS gyroscope	41
Interaction of wave structure in the generalized perturbed KdV equation in mechanics	41
Slow–fast analysis of a modified Leslie–Gower model with Holling type I functional response	41
Study on the vibration characteristics of worm drive with different contact forms	40
Impurity effects in a network of mean-field coupled Rössler oscillators	40
Applications of empirical wavelet decomposition, statistical feature extraction, and antlion algorithm with support vector regression for resident electricity consumption forecasting	40
Numerical Hopf normal form for delay-differential equations	40
Simple Circuit Implementation of String Scaling Fractional-order Memristor with Fixed Valid Frequency Range	40
Correction to: A topological framework for identifying phenomenological bifurcations in stochastic dynamical systems	40
Investigation of chatter suppression by using rotating composite boring bar CNT-filled based on a modified nonlinear dynamical model	40
Looking for suitable rules for true random number generation with asynchronous cellular automata	40
Adaptive critic design for enhanced control of waverider vehicles with nonaffine nonlinearities	40
Nonlinear dynamic behaviors of a shaft-bearing-pedestal system with outer ring slip and damage	40
Dynamics of a cross-superdiffusive SIRS model with delay effects in transmission and treatment	40
Synchronization and phase balancing in networked chaotic systems with ring lattice and small world networks	40
Transient mixed lubrication analysis of the hydrodynamic bearing-rotor system during start-up considering misalignment and wear	39
Stochastic vibration responses of the bistable electromagnetic actuator with elastic boundary controlled by the random signals	39
Augmented perpetual manifolds and perpetual mechanical systems-part II: theorem for dissipative mechanical systems behaving as perpetual machines of third kind	39
Almost sure consensus of stochastic nonlinear multi-agent systems via event-triggered control	39
Harmonic balance-based nonsmooth modal analysis of unilaterally constrained discrete systems	39
Higher-order vector rogue waves in inhomogeneous optical media: insights into variable-coefficient coupled nonlinear schrödinger model with four-wave mixing	39
Valley Hall edge solitons in honeycomb lattice with an armchair-type domain wall	39
Three-dimensional nonlinear behaviors and stability analysis of high-speed aerostatic conical bearing-rotor system	39
Model order reduction and stochastic averaging for the analysis and design of micro-electro-mechanical systems	39
Nonlinear dynamics analysis in pneumatic tire modeling	39
Fuzzy Adaptive Predefined Time and Precision Control for Nonlinear Systems with Unknown Control Direction	39
Spatial solitons in non-parity-time-symmetric complex potentials with competing cubic–quintic nonlinearities	39
Sloshing reduced-order model trained with Smoothed Particle Hydrodynamics simulations	38
Friction-induced planar vibration of a two-rigid-disc system with a finite contact area subjected to uncertain friction	38
Optimum design parameters for double concave friction pendulum system considering ground motion characteristics and friction heating	38
Parametric roll oscillations of a hydrodynamic Chaplygin sleigh	38
Interaction phenomena between solitons, lumps and breathers for the combined KP3-4 equation	38
Experimental modeling of compact double-gas-chamber hydro-pneumatic strut considering gas temperature and heat transfer	38
Analysis of non-pharmaceutical interventions impacts on COVID-19 pandemic in Iran	38
Stabilization of synchronous equilibria in regular dynamical networks with delayed coupling	37
Multiple bifurcation solitons, lumps and rogue waves solutions of a generalized perturbed KdV equation	37
In-plane vibrations of slightly curved beams: two models compared	37
Activating internal resonance in a microelectromechanical system by inducing impacts	37
Dynamic analysis of a $$\pmb {SI_{1}I_{2}AD}$$ information dissemination model considering the word of mouth	37
Learning with Mandelbrot and Julia	37
Adaptive EPCH strategy for nonlinear systems with parameters uncertainty and disturbances	37
Fixed-time adaptive fuzzy control for nonlinear interconnection high-order systems with unknown control direction	37
Fixed-time adaptive neural tracking control for nonstrict-feedback nonlinear systems with mismatched disturbances using an event-triggered scheme	37
Global dynamics of a ring-tethered three-satellite system in any plane	37
Gaussian process regression combined with dynamic data reconciliation for improving the performance of nonlinear dynamic systems	36
Dynamics and energy harvesting from parametrically coupled self-excited electromechanical oscillator	36
Pfaffian, soliton, breather and hybrid solutions for a (2+1)-dimensional combined potential Kadomtsev-Petviashvili-B-type Kadomtsev-Petviashvili equation in fluid mechanics	36
Influences of inherent geometrical nonlinearity of high-static-low-dynamic-stiffness resonator on flexural wave attenuation performance of metamaterial beam	36
Towed wheel shimmy suppression through a nonlinear tuned vibration absorber	36
Nonlinear stiffness identification of parametrically excited systems based on damping adjustment	36
Energy transfer and localization in a forced cyclic chain of oscillators with vibro-impact nonlinear energy sinks	36
Nonaxisymmetric magnetoelastic coupling natural vibration analysis of annular plates in an induced nonuniform magnetic field	36
Multi-status mating mechanism and incomplete bifurcation of an internal gear system with time-variant parameters and temperature	36
Finite-time fault detection for stochastic nonlinear networked control systems via interval type-2 T-S fuzzy framework	36
From deterministic to stochastic: limits of extracting bifurcation diagrams for noisy bistable oscillators with the control-based continuation method	36
Improved funnel-based predefined-time formation tracking and mismatched disturbance rejection control for multiple QUAVs	36
Research and experimental verification on transmission performance of 3D modification herringbone gear	36
Lump solitions, fractal soliton solutions, superposed periodic wave solutions and bright-dark soliton solutions of the generalized (3+1)-dimensional KP equation via BNNM	36
Adaptive signal-correction-based identification for friction perception of the vibration-driven limbless robot	35
A novel image encryption algorithm based on hyperchaotic system with cross-feedback structure and diffusive DNA coding operations	35
When do chemical synapses modulate the formation of spiral waves?	35
Nonlinear vibration characteristics of a rotor bearing system with irregular raceway defect	35
Finite-time extended state observer enhanced nonsingular terminal sliding mode control for buck converters in the presence of disturbances: design, analysis and experiments	35
Robust fault accommodation approach for double-pendulum tower cranes via adaptive neural network-triggered control	35
Coexistence behavior of a double-MR-based cellular neural network system and its circuit implementation	35
Experience replay-based dynamic event-triggered optimal control for nonlinear switched systems with actuator failure	35
Nth-order smooth positon and breather-positon solutions for the generalized integrable discrete nonlinear Schrödinger equation	35
The variable separation solution, fractal and chaos in an extended coupled (2+1)-dimensional Burgers system	35
An asymmetric quasi-zero stiffness vibration isolator with long stroke and large bearing capacity	35
Design and analysis of a memristive Hopfield switching neural network and application to privacy protection	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
Distributed time-varying formation tracking of multi-quadrotor systems with partial aperiodic sampled data	35
Stability and nonlinear vibration of an axially moving plate interacting with magnetic field and subsonic airflow in a narrow gap	35
Secure containment control of time-delay complex-valued multi-agent systems against different attacks	35
Research on nonlinear static and dynamic characteristics of linear guideway in machine tools considering carriage flexibility	35
A dual-neuron memristive hopfield neural network and its application in image encryption	35
Spatial patterns and chimera states in discrete memristor coupled neural networks	35
Dynamic event-triggered fixed-time synchronization of multi-layer complex networks under denial-of-service attacks	34