Nonlinear Dynamics

Article	Citations
Continuation of periodic orbits in conservative hybrid dynamical systems and its application to mechanical systems with impulsive dynamics	268
On spatial synchronisation as a manifestation of irregular energy cascades in continuous media under the transition to criticality	217
Pressure-induced nonlinear resonance frequency changes for extracting Young’s modulus of nanodrums	153
Epistemic stability and nonlinear dynamics in selection of suboptimal cluster counts in medical images validation dataset as a cluster homogeneity measure	146
Controller design for switched systems with nonlinear sub-systems using common Lyapunov functions	139
Evolutionary dynamics of predator in a community of interacting species	134
Robotic controller design for sporadic events using large deviations theory	132
From Gauss–Newton method solving nonlinear least squares problem of static overdetermined system to multi-instant neurodynamic algorithms handling future time-variant situation	131
Periodic decentralized event-triggered control for nonlinear systems with asynchronous update and dynamic quantization	130
Asymptotic stability of Hilfer fractional neutral stochastic differential equations with time-varying delays and non-instantaneous impulses	130
Coherent structures of lump-soliton for the PT-symmetric nonlocal Davey-Stewartson III equation on a background of constant or periodic line waves	129
Mathematical modeling the dynamics of SARS-CoV-2 infection with antibody-dependent enhancement	124
Dynamic analysis of a diabetes mathematical model including heredity parameter and multiple time delays	118
Global tracking control of flexible joint robots via barrier function-based filters	117
Data-driven fault-tolerant path-following control for USV based on fixed-time guidance and fuzzy disturbance observer	117
Synchronization and stability characteristics of a double-pendulum coupling vibrating system driven by two vibrators	116
Migration-connected networks of Lotka–Volterra and quasi-polynomial systems: modeling and decentralized control	112
Weak solutions and symbolic verification of peakon structures in higher-order b-family Novikov equations	108
Spatiotemporal dynamics in discrete memristive Josephson junction array with electric and magnetic couplings under a controllable energy injection	106
Double-layer game-based optimal event-triggered consensus control for stochastic multiagent systems against deception attacks	104
Identification of friction in joints for multibody dynamics: a Neural-DAE based approach	103
Dynamic mechanism of epileptic seizures generation and propagation after ischemic stroke	101
Practical tracking control under actuator saturation for a class of flexible-joint robotic manipulators driven by DC motors	99
Bifurcation analysis for the discretized-fractionalized Holling type-IV predator–prey system	97
Numerical study of wave disturbances of the high order nonlinear Boussinesq equations arising in engineering	97

Nonlinear vibration of a cantilever bistable symmetric laminate using a SDOF model	94
Bursting dynamics induced by amplitude-modulated excitation in the composite nonlinear oscillator	93
Integration of Hamiltonian equations with two degrees of freedom for a truncated normal form at 2:1 resonance	93
Riemann-Hilbert problem and multiple poles solution for an extended modified Korteweg-de Vries equation with zero/nonzero boundary conditions	89
Event-triggered adaptive tracking control for uncertain nonlinear systems with preassigned prescribed performance constraints under three cases	86
Wave propagation in nonlinear locally coupled resonant Kresling origami metamaterials	86
Nonlinear free vibration analysis of doubly curved shells	85
Wronskian $$\pmb {N}$$-soliton solutions to a generalized KdV equation in ($$\pmb {2+1}$$)-dimensions	85
A novel dynamic model and the oblique interaction for ocean internal solitary waves	84
Command-filtered compound FAT learning control of fractional-order nonlinear systems with input delay and external disturbances	84
Quantized event-triggered-based finite-time $$\text {H}_\infty $$ control for interval type-2 fuzzy Markov jump systems with random coupling delays	82
The centered alignment multikernel nonhomogeneous gray model and its application	81
Spontaneous symmetry breaking induced by interaction in linearly coupled binary Bose–Einstein condensates	80
Oceanic internal solitary wave interactions via the KP equation in a three-layer fluid with shear flow	77
A new 5D Hamiltonian conservative hyperchaotic system with four center type equilibrium points, wide range and coexisting hyperchaotic orbits	77
A new hysteresis model based on Weibull cumulative distribution function and Jiles–Atherton hysteresis model	77
Correction to: Uncertainty-corrected fractional generalized Pareto motion for lithium-ion battery life prediction and value-at-risk-based maintenance framework	76
Investigation on the 1:2 internal resonance of an FGM blade	76
Kernel methods for regression in continuous time over subsets and manifolds	75
An adaptive finite-time formation control against actuator attacks in nonlinear singular multiagent systems	74
Formation control of networked mobile robots with weighted directed topology using the Udwadia–Kalaba approach	73
Transmission model and optimal control strategy of the fifth wave of COVID-19 in hong kong with age-heterogeneity	73
Nonlinear tunnelling of 3D partially nonlocal nonautonomous nondegenerate vector solitons in a linear external potential	72
Dynamic output feedback control for fractional-order delayed systems subject to actuator saturation	72
Numerical study of heat transfer in a 3D triangular prism with a rotating cylinder using ternary hybrid nanofluids and a new regression model	71
Secure finite-time filtering for switched fuzzy systems with scaling attacks and stochastic sensor faults	71
Time series classification of dynamical systems using deterministic learning	71
Model-free group consensus of multi-agent systems using critic-only reinforcement learning	70
Current-driven magnetization reversal dynamics and breather-like EM soliton propagation in biaxial anisotropic weak ferromagnetic nanowire	69
A novel reservoir computing for inferring hyperchaotic systems from partial observation	69
Sensitivity analysis of the rotor-bearing system with fractional power nonlinearity using multicomplex variable derivation	69
Design of a new quasi-zero-stiffness isolator system with nonlinear positive stiffness configuration and its novel features	68
Discrete Time-Delay Memristive Chaotic Map and Its Applications	68
Revisited chaotic vibrations in dielectric elastomer systems with stiffening	67
Lump solution, lump-stripe solution, rogue wave solution and periodic solution of the (2 + 1)-dimensional Fokas system	67
A spacetime variational integration approach to the full discretization of flexible beams based on absolute nodal coordinate formulation	67
Adaptive under-actuated control for capacitive micro-machined ultrasonic transducer based on an accurate nonlinear modeling	66
Experimental and numerical investigation on the relationship between stick–slip vibration and rate of penetration	66
Stroboscopic control and tracking of periodic states	66
Soliton, breather-like and dark-soliton-breather-like solutions for the coupled long-wave–short-wave system	65
A scaling law approach to rate fabrication tolerances of double-sided electrostatic actuators	65
A stochastic agent-based model to evaluate COVID-19 transmission influenced by human mobility	65
Regularised Volterra series models for modelling of nonlinear self-excited forces on bridge decks	64
Lyapunov functions and regions of attraction for spherically constrained relative orbital motion	63
Adaptive asymptotic stabilization of uncertain nonstrict feedback nonlinear HOFA systems with time delays	62
Capability verification and error source investigation of external force sensing methods of continuum robot	62
Fingerprints of body dysmorphic disorder in functional brain networks	62
Model reduction of rotor-foundation systems using the approximate invariant manifold method	62
Bifurcation scenarios in the hardware-in-the-loop experiments of highly interrupted milling processes	62
Modeling car-following behavior in heterogeneous traffic mixing human-driven, automated and connected vehicles: considering multitype vehicle interactions	62

Characterization and vibration control of a magnetorheological damper-based tail support for wind tunnel tests	61
Study on safety characteristics of the spur gear pair considering time-varying backlash in the established multi-level safety domains	61
Extension of the bouncing ball model to a vibratory conveying system	61
A study of torsional vibration attenuation in closed-loop crankshaft model using absorbers with cubic and quintic smooth nonlinearities	60
Dynamical analysis of an improved FitzHugh-Nagumo neuron model with multiplier-free implementation	60
Robust adaptive formation control for nonlinear multi-agent systems with range constraints	59
Nonlinear vibrations of a rotor with support nonlinearities considering bounded uncertainties	57
An improved methodology to restrict the range of motion of mechanical joints	57
Integral of motion and nonlinear dynamics of three Duffing oscillators with weak or strong bidirectional coupling	57
Nonlinear vibrations of a sandwich piezo-beam system under piezoelectric actuation	56
Quantization-based tracking control for fuzzy singularly perturbed Markov jump systems with incomplete transition information and packet dropout	56
Vibration reduction characteristics of nonlinear energy sink with segmented cubic stiffness under forced excitation	56
Application of weighted iterative autocorrelation coefficient and stochastic hopfield network in bearing fault detection under variable speed conditions	56
Fixed-time sliding mode trajectory tracking control for marine surface vessels with input saturation and prescribed performance constraints	55
Fully actuated system approach to robust control for uncertain active suspension systems	55
Analyzing N-solitons, breathers, and hybrid interactions: comparisons of localized wave dynamics through data points	55
Vortex light bullets in a twisted cold atomic system with $$\mathcal{P}\mathcal{T}$$-symmetric anharmonic potential	55
Uniform non-degeneracy discrete chaotic system and its application in image encryption	55
Truncated predictor stabilization control for interconnected nonlinear systems with time-varying input delay	54
Effect of ratio threshold control on epidemic dynamics: analysis of an SIR model with non-monotonic incidence	54
Performance review of locking alleviation methods for continuum ANCF beam elements	54
Study on transient dynamics of the pyrotechnic-driven large flexible expansion mechanism	54
Regime transition and multi-scroll hyperchaos in a discrete neuron model	54
Precise impact time and angle guidance strategy under time-varying velocity	53
Regulation-aware cooperative path following control of maritime autonomous surface ships with fully unknown model parameters	53
How a ball free to orbit in a circular track mitigates the galloping of a square prism	53
Interaction properties of double-hump solitons in the dispersion decreasing fiber	53
IRLTS rumor propagation model considering the influence of lurking psychology and the truth of rumors	52
A novel explainable fault diagnosis model for homogenization process using probabilistic Boolean network	52
Nonlinear and chaotic behavior in spatial vibration signal of cone valve core	52
Frequency-response curves for rate-independent hysteretic mechanical responses of complex shape	52
Hopf–Hopf bifurcation analysis based on resonance and non-resonance in a simplified railway wheelset model	51
Research on microscopic traffic flow modeling and energy characteristics in the energy-saving driving environment	51
A novel distributed Kalman filtering for health state recognition of aero-engine components in networked control systems	50
How the reversible change of contact networks affects the epidemic spreading	50
Analytical approach for nonlinear vibration response of the thin cylindrical shell with a straight crack	50
Dynamics of excited piecewise linear oscillators	49
Predefined-time VFO control design for unicycle-like mobile robots	49
Breather and lump-periodic wave solutions to a system of nonlinear wave model arising in fluid mechanics	48
Study on nonlinear dynamic behavior and stability of aviation pressure servo valve-controlled cylinder system	48
Optical soliton solutions via the Biswas–Milovic equation: Quasi-periodic behavior, sensitivity, and bifurcation	47
Performance enhancement of galloping-based piezoelectric energy harvesting by exploiting 1:1 internal resonance of magnetically coupled oscillators	47
Structural and electrical dynamics of a grating-patterned triboelectric energy harvester with stick–slip oscillation and magnetic bistability	47
Bifurcation analysis of period-1 attractors in a soft impacting oscillator	47
An energy flow analysis for multibody dynamic behavior of cable-membrane system	47
Two-variable boosting bifurcation in a hyperchaotic map and its hardware implementation	47
Cubic-quartic optical solitons of the complex Ginzburg-Landau equation: A novel approach	47
A semi-analytical solution in time domain for evaluating the nonlinear normal modes of a cantilever beam with a tip nonlinearity	47
Load adaptivity of the mem-spring and its performance benefits in vehicle suspensions	46
A novel quasi-zero-stiffness isolation platform via tunable positive and negative stiffness compensation mechanism	46
Integrated uncertain optimal design strategy for truss configuration and attitude–vibration control in rigid–flexible coupling structure with interval uncertainties	46
Dynamical analysis and accelerated adaptive backstepping control of MEMS triaxial gyroscope with output constraints	46
Theoretical and experimental studies on nonlinear dynamic performances of gas journal bearing with three pads-rotor system	46
Non-uniform wear evolution of gear tooth surface under complicated excitations in a locomotive	46
Different bifurcations and slow dynamics underlying different stochastic dynamics of slow, medium, and fast bursting of β-cell	45
Multi-fold Darboux transforms and interaction solutions of localized waves to a general vector mKdV equation	45
Dynamics of a single-strain and two-strain respiratory infection driven by travel on a metapopulation network	45
Singular value decomposition-based stochastic admissibility and robust extended dissipativity for delayed hybrid descriptor systems under a unified framework	45
Band evolution and 2D nonreciprocal wave propagation in strongly nonlinear meta-plates	45
Painlevé integrability and multi-wave pattern for (2+1)-dimensional long wave–short wave resonance interaction system	44
Exploring the influence of hunting cooperation, fear, and incommensurate memory effects on generalist predator-prey model	44
Solitons, kink-solitons and breather solutions of the two-coupled incoherent nonlinear Schrödinger equation	44
User-level malicious behavior analysis model based on the NMF-GMM algorithm and ensemble strategy	44
Correction to: Impedance force control with uniform exponential stability for variable stiffness environments	44
NES-EBVIS: an enhanced broadband vibration isolation system with a nonlinear energy sink absorber	44
Effects of stochastic perturbations on the tree–grass coexistence in savannas	44
A new derivation of (2 + 1)-dimensional Schrödinger equation with separated real and imaginary parts of the dependent variable and its solitary wave solutions	43
Exploiting a novel perturbation structure to overcome manufacturing defect and modal overlap in mode localization MEMS gyroscope	43
Interaction of wave structure in the generalized perturbed KdV equation in mechanics	43
Adaptive critic design for enhanced control of waverider vehicles with nonaffine nonlinearities	43
Slow–fast analysis of a modified Leslie–Gower model with Holling type I functional response	43
A novel hybrid algorithm with static and dynamic models for air quality index forecasting	43
Spatial solitons in non-parity-time-symmetric complex potentials with competing cubic–quintic nonlinearities	42
Study on the vibration characteristics of worm drive with different contact forms	42
From deterministic to stochastic: limits of extracting bifurcation diagrams for noisy bistable oscillators with the control-based continuation method	42
Applications of empirical wavelet decomposition, statistical feature extraction, and antlion algorithm with support vector regression for resident electricity consumption forecasting	42
Learning with Mandelbrot and Julia	42
Correction to: A topological framework for identifying phenomenological bifurcations in stochastic dynamical systems	42
Hamiltonian energy computation and complex behavior of a small heterogeneous network of three neurons: circuit implementation	42
Improved funnel-based predefined-time formation tracking and mismatched disturbance rejection control for multiple QUAVs	42

Nonlinear mechanism for paradoxical facilitation of spike induced by inhibitory synapse in auditory nervous system for sound localization	42
Dynamic precision reliability of the aircraft landing gear retraction mechanism under coupled extreme working conditions	42
Simple Circuit Implementation of String Scaling Fractional-order Memristor with Fixed Valid Frequency Range	42
In-plane vibrations of slightly curved beams: two models compared	42
Three-dimensional nonlinear behaviors and stability analysis of high-speed aerostatic conical bearing-rotor system	42
Synchronization and phase balancing in networked chaotic systems with ring lattice and small world networks	41
Valley Hall edge solitons in honeycomb lattice with an armchair-type domain wall	41
Higher-order vector rogue waves in inhomogeneous optical media: insights into variable-coefficient coupled nonlinear schrödinger model with four-wave mixing	41
Numerical Hopf normal form for delay-differential equations	41
Distributed time-varying formation tracking of multi-quadrotor systems with partial aperiodic sampled data	41
Investigation of chatter suppression by using rotating composite boring bar CNT-filled based on a modified nonlinear dynamical model	41
Looking for suitable rules for true random number generation with asynchronous cellular automata	41
Nonlinear dynamics analysis in pneumatic tire modeling	41
Fuzzy Adaptive Predefined Time and Precision Control for Nonlinear Systems with Unknown Control Direction	41
Stochastic vibration responses of the bistable electromagnetic actuator with elastic boundary controlled by the random signals	41
Dynamics and energy harvesting from parametrically coupled self-excited electromechanical oscillator	40
Gaussian process regression combined with dynamic data reconciliation for improving the performance of nonlinear dynamic systems	40
Impurity effects in a network of mean-field coupled Rössler oscillators	40
Spontaneous symmetry breaking induced by inhomogeneous nonlinearity in the coupled nonlinear Schrödinger equation	40
Dynamics of a cross-superdiffusive SIRS model with delay effects in transmission and treatment	40
Robust fault accommodation approach for double-pendulum tower cranes via adaptive neural network-triggered control	40
Nonlinear dynamic behaviors of a shaft-bearing-pedestal system with outer ring slip and damage	40
Fixed-time adaptive neural tracking control for nonstrict-feedback nonlinear systems with mismatched disturbances using an event-triggered scheme	39
Augmented perpetual manifolds and perpetual mechanical systems-part II: theorem for dissipative mechanical systems behaving as perpetual machines of third kind	39
Fission and fusion solutions of the (2+1)-dimensional generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt equation: case of fluid mechanics and plasma physics	39
Almost sure consensus of stochastic nonlinear multi-agent systems via event-triggered control	39
Lump solitions, fractal soliton solutions, superposed periodic wave solutions and bright-dark soliton solutions of the generalized (3+1)-dimensional KP equation via BNNM	39
When do chemical synapses modulate the formation of spiral waves?	39
Image encryption model based on novel magic square with differential encoding and chaotic map	39
Finite-time extended state observer enhanced nonsingular terminal sliding mode control for buck converters in the presence of disturbances: design, analysis and experiments	39
A dual-neuron memristive hopfield neural network and its application in image encryption	39
Pfaffian, soliton, breather and hybrid solutions for a (2+1)-dimensional combined potential Kadomtsev-Petviashvili-B-type Kadomtsev-Petviashvili equation in fluid mechanics	39
Nonlinear oscillation of active magnetic bearing–rotor systems with a time-delayed proportional–derivative controller	39
Nonaxisymmetric magnetoelastic coupling natural vibration analysis of annular plates in an induced nonuniform magnetic field	39
Robust finite-time fault-tolerant control for vehicle height and posture regulation with air suspension system subject to actuator faults, uncertainties and external disturbance	38
Theoretical and experimental investigation on an improved rack and pinion inerter	38
Research and experimental verification on transmission performance of 3D modification herringbone gear	38
Multi-status mating mechanism and incomplete bifurcation of an internal gear system with time-variant parameters and temperature	38
Parametric roll oscillations of a hydrodynamic Chaplygin sleigh	38
Harmonic balance-based nonsmooth modal analysis of unilaterally constrained discrete systems	38
An adaptive event-triggered secondary regulation strategy for microgrids with communication link faults	38
Experimental and numerical study on motion instability of modular floating structures	38
Influences of inherent geometrical nonlinearity of high-static-low-dynamic-stiffness resonator on flexural wave attenuation performance of metamaterial beam	38
Adaptive signal-correction-based identification for friction perception of the vibration-driven limbless robot	37
Analysis of non-pharmaceutical interventions impacts on COVID-19 pandemic in Iran	37
Friction-induced planar vibration of a two-rigid-disc system with a finite contact area subjected to uncertain friction	37
An asymmetric quasi-zero stiffness vibration isolator with long stroke and large bearing capacity	37
Fixed-time adaptive fuzzy control for nonlinear interconnection high-order systems with unknown control direction	37
Experimental modeling of compact double-gas-chamber hydro-pneumatic strut considering gas temperature and heat transfer	37
Interaction phenomena between solitons, lumps and breathers for the combined KP3-4 equation	37
Stability analysis of chaotic systems from data	37
Stabilization of synchronous equilibria in regular dynamical networks with delayed coupling	37
Optimum design parameters for double concave friction pendulum system considering ground motion characteristics and friction heating	36
Probabilistic maps on bistable vibration energy harvesters	36
The variable separation solution, fractal and chaos in an extended coupled (2+1)-dimensional Burgers system	36
Lévy noise-induced self-induced stochastic resonance in a memristive neuron	36
Stability analysis of multi-area interconnected power systems under denial of service (DoS) attack	36
Sloshing reduced-order model trained with Smoothed Particle Hydrodynamics simulations	36
Towed wheel shimmy suppression through a nonlinear tuned vibration absorber	36
Dynamic analysis of a $$\pmb {SI_{1}I_{2}AD}$$ information dissemination model considering the word of mouth	36
Energy transfer and localization in a forced cyclic chain of oscillators with vibro-impact nonlinear energy sinks	36
Activating internal resonance in a microelectromechanical system by inducing impacts	36
Model order reduction and stochastic averaging for the analysis and design of micro-electro-mechanical systems	35
Collaborative optimization design framework for hierarchical filter barrier control suspension system with projection adaptive tracking hydraulic actuator	35
Stochastic analysis of vibro-impact bistable energy harvester system under colored noise	35
Experience replay-based dynamic event-triggered optimal control for nonlinear switched systems with actuator failure	35
Finite-time fault detection for stochastic nonlinear networked control systems via interval type-2 T-S fuzzy framework	35
Nonlinear stiffness identification of parametrically excited systems based on damping adjustment	35
Multi-scale quadratic convolutional neural network for bearing fault diagnosis based on multi-sensor data fusion	35
Coexistence behavior of a double-MR-based cellular neural network system and its circuit implementation	35
Secure containment control of time-delay complex-valued multi-agent systems against different attacks	35
Transient mixed lubrication analysis of the hydrodynamic bearing-rotor system during start-up considering misalignment and wear	35
A general discrete memristor emulator based on Taylor expansion for the reconfigurable FPGA implementation and its application	35
Adaptive EPCH strategy for nonlinear systems with parameters uncertainty and disturbances	35
A novel image encryption algorithm based on hyperchaotic system with cross-feedback structure and diffusive DNA coding operations	35
Experimental and numerical investigation of a vertical vibration isolator for seismic applications	34
Bilinear Bäcklund, Lax pairs, breather waves, lump waves and soliton interaction of (2+1)-dimensional non-autonomous Kadomtsev–Petviashvili equation	34
Nth-order smooth positon and breather-positon solutions for the generalized integrable discrete nonlinear Schrödinger equation	34
Spatial patterns and chimera states in discrete memristor coupled neural networks	34
Complex bursting dynamics in a Rayleigh–Liénard oscillator	34
A new model for bearing fault diagnosis based on optimized variational mode decomposition correlation coefficient weight threshold denoising and entropy feature fusion	34
Data-driven soliton solutions and parameter identification of the nonlocal nonlinear Schrödinger equation using the physics-informed neural network algorithm with parameter regularization	34
A novel model for 1D chaotic map generation with FPGA implementation and PRNG application	34
Multiple bifurcation solitons, lumps and rogue waves solutions of a generalized perturbed KdV equation	34
Stability and nonlinear vibration of an axially moving plate interacting with magnetic field and subsonic airflow in a narrow gap	34
Initial-offset-boosted coexisting hyperchaos in a 2D memristive Chialvo neuron map and its application in image encryption	34
Bifurcation analysis, chaotic behaviors, sensitivity analysis, and soliton solutions of a generalized Schrödinger equation	34
A data-driven spatiotemporal model predictive control strategy for nonlinear distributed parameter systems	34
FPGA implementation of Hopfield neural network with transcendental nonlinearity	34
Rogue waves on the periodic wave background in the Kadomtsev–Petviashvili I equation	34
Design and analysis of a memristive Hopfield switching neural network and application to privacy protection	34
Global dynamics of a ring-tethered three-satellite system in any plane	34
Coupling failure dynamics of tooth surface morphology and wear based on fractal theory	34
Nonlinear Shrödinger equation having self-phase modulation without chromatic dispersion: sensitivity analysis and novel soliton solutions	33
Memristive Hénon map with hidden Neimark–Sacker bifurcations	33