Nonlinear Dynamics

Article	Citations
Image encryption algorithm based on COA and hyperchaotic Lorenz system	219
Systematic search for islets of stability in the standard map for large parameter values	217
Correction to: Uncertainty-corrected fractional generalized Pareto motion for lithium-ion battery life prediction and value-at-risk-based maintenance framework	204
Nonsingular fast terminal sliding mode control of DC–DC buck converter using fuzzy neural network and disturbance observer	197
New 2D inserting-log-logistic-sine chaotic map with applications in highly robust image encryption algorithm	181
Effective description of dental thermal pain sensation via the Hodgkin–Huxley equations	177
Early detection of unstable car-and-driver motion—a Floquet theory approach	176
An adaptive finite-time formation control against actuator attacks in nonlinear singular multiagent systems	153
Preface	140
A model of binaural auditory nerve oscillator network for bearing fault diagnosis by integrating two-channel vibration signals	138
Adaptive fuzzy fixed-time tracking control for maritime quadrotor UAV landing onto a moving USV with deck motion prediction	138
Hierarchical non-singular terminal sliding mode control for constrained under-actuated nonlinear systems against sensor faults	130
Nonlinear displacement control and force estimation in a piezoelectric robotic manipulator characterizing an object with nonlinear viscoelastic deformation	128
Fixed-time observation and control for network systems: a distributed event-based saturation adaptive method	114
Secure finite-time filtering for switched fuzzy systems with scaling attacks and stochastic sensor faults	113
Data-driven modeling of transonic nonlinear flutter via convolutional neural network autoencoder	111
Nonlinear mechanisms for opposite responses of bursting activities induced by inhibitory autapse with fast and slow time scale	110
Nonlinear modelling of transient tyre dynamics	110
Steady-state response of a viscoelastic beam with asymmetric elastic supports coupled to a lever-type nonlinear energy sink	106
Parameter estimation of the incubation period of COVID-19 based on the doubly interval-censored data model	106
Non-singular multi-complexiton wave to a generalized KdV equation	104
Impulsive fault-tolerant adaptive control on second-order nonlinear multiagent systems by extended observer approach	103
A novel nonlinear filter through constructing the parametric Gaussian regression process	100
Event-based secure consensus of multiple AUVs under DoS attacks	100
Event-triggered robust adaptive critic control for nonlinear disturbed systems	99

Poincare maps: a modern systematic approach toward obtaining effective sections	98
Bifurcation and chaos analysis for a discrete ecological developmental systems	98
Generalized extended (2+1)-dimensional Kadomtsev-Petviashvili equation in fluid dynamics: analytical solutions, sensitivity and stability analysis	95
Spectral analysis and soliton structures for the Hermitian symmetric space Fokas–Lenells equation	94
Dynamic behavior analysis of tethered satellite system based on Floquet theory	92
Dynamic characteristic analysis of a gear-rotor-bearing coupling system considering bearing fit	90
Adaptive fixed-time synchronization of Lorenz systems with application in chaotic finance systems	90
Vector dark-bright second-order rogue wave and triplets for a (3+1)-dimensional CNLSE with the partially nonlocal nonlinearity	89
Critical state of energy-efficient firing patterns with different bursting kinetics in temperature-sensitive Chay neuron	86
An analysis of the rolling dynamics of a hexapod robot using a three-dimensional rolling template	86
Constructing dynamic S-boxes based on chaos and irreducible polynomials for image encryption	85
Adaptive super-twisting global nonsingular terminal sliding mode control for robotic manipulators	85
Dynamics of a new modified self-sustained biological trirythmic system with fractional time-delay feedback under correlated noise	85
A SGM-IHB approach for nonlinear free and forced vibration analysis of FG-GPLRC beams rested on viscoelastic foundation	85
Soliton molecules and few-cycle-pulse solitons structures for the generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt equation	84
An novel dynamic compressed sensing method for image encryption based on a new coupled map lattices model	82
Nonlinear dynamic instability of edge-cracked functionally graded graphene-reinforced composite beams	82
Finite-time consensus of nonlinear multi-agent systems via impulsive time window theory: a two-stage control strategy	82
Defense penetration strategy for inferior USV based on reach-avoid game under complex target region	81
Multi-exciton transfer in a biomolecular system	81
Higher-order soliton, breather, the mixed localized wave solutions for the coupled modified Korteweg-de Vries equations	80
Experimental and numerical investigation on the relationship between stick–slip vibration and rate of penetration	78
Self-knowledge Distillation Enhanced Universal Framework for Physics-Informed Neural Networks	78
Localized wave solutions in an integrable inhomogeneous lattice via generalized Darboux transformation	77
Integrated signal mapping and model updating in iterative hybrid testing for seismic fluid–structure interaction	76
Correlation between multiple geometric parametric instability sidebands and sidelobes in periodically modulated graded-index multimode fibers	74
Stability analysis of chaotic systems in latent spaces	73
Numerical study of wave disturbances of the high order nonlinear Boussinesq equations arising in engineering	71
Coherent structures of lump-soliton for the PT-symmetric nonlocal Davey-Stewartson III equation on a background of constant or periodic line waves	71
Energy-efficient flocking with nonlinear navigational feedback	70
A complex-valued time varying zeroing neural network model for synchronization of complex chaotic systems	68
Color image encryption scheme based on a single attractor hyperchaotic system and Go rules	67
Synchronization and control of fractional laser chaotic systems defined based on the regularized Prabhakar derivative with incommensurate parameters	67
Dynamics of a stochastic reaction-diffusion Kawasaki disease model with Ornstein-Uhlenbeck process	67
Probabilistic generative olfactory-based navigation in turbulent environments for Mars methane exploration	65
Nonlinear free vibrations of Timoshenko–Ehrenfest beams using finite element analysis and direct scheme	64
Parametric resonance and pattern selection in an array of microcantilevers interacting through fringing electrostatic fields	63
Lagrangian dynamics and the discovery of cislunar periodic orbits	61
Spatial dynamic formulation of the L/V ratio and mechanics of wheel climb	61
Higher-order motif-based time series classification for forced oscillation source location in power grids	61
Application of Bell polynomial in the generalized (2+1)-dimensional Nizhnik–Novikov–Veselov equation	60
Securing information using a proposed reliable chaos-based stream cipher: with real-time FPGA-based wireless connection implementation	60
Data analysis and prediction of the COVID-19 outbreak in the first and second waves for top 5 affected countries in the world	60
Characteristics of 3D coupled map lattice and its application in pseudo-random number generator	60
Chaos and firing patterns in a discrete fractional Hopfield neural network model	60
Robust adaptive formation control for nonlinear multi-agent systems with range constraints	59
Frequency-specific phase synchronization analysis of a stall-induced aeroelastic system undergoing 2:1 internal resonance in a low-speed wind tunnel	59
Event-triggered scaled consensus for distributed networks in a compound noisy environment over markovian switched topologies	59
Auto-Bäcklund transformations and soliton solutions on the nonzero background for a (3+1)-dimensional Korteweg-de Vries-Calogero-Bogoyavlenskii-Schif equation in a fluid	59
N-dimensional non-degenerate chaos based on singular value estimation with application in dynamic DNA image encryption	58

Degenerate lump chain solutions and rouge wave solutions of the (4 + 1)-dimensional nonlinear evolution equation	57
Coupled nonlinear Schrödinger (CNLS) equations for two interacting electrostatic wavepackets in a non-Maxwellian fluid plasma model	56
Dynamic switching event-triggered fixed-time cooperative control for nonlinear multi-agent systems subject to non-affine faults	56
Mathematical modeling on co-infection: transmission dynamics of Zika virus and Dengue fever	54
Nonlinear effects of saturation in the car-following model	54
Wronskian $$\pmb {N}$$-soliton solutions to a generalized KdV equation in ($$\pmb {2+1}$$)-dimensions	54
State space model-based Runge–Kutta gated recurrent unit networks for structural response prediction	53
Regulation-aware cooperative path following control of maritime autonomous surface ships with fully unknown model parameters	53
Optical solitons and bifurcation analysis in fiber Bragg gratings with Lie symmetry and Kudryashov’s approach	53
Innovative approach with harmonic modes and finite element modeling for the nonlinear dynamic analysis of a suspension bridge	53
The generalization of diagonally implicit Runge–Kutta–Nyström method with controllable numerical dissipation for structural dynamics	53
Wave-based analysis of jointed elastic bars: stability of nonlinear solutions	53
Travelling waves in dryland ecology: continuous and discontinuous connections in a hyperbolic vegetation model	52
Advanced speech encryption method leveraging a hidden hyperchaotic attractor and its synchronization with robust adaptive sliding mode control	52
Nonlinear experimental dynamics of a pentastable composite cantilever shell	52
Stochastic response characteristics of nonlinear gas path systems	51
Analysis and suppression of the negative effect of electromagnetic characteristics of wheel hub motor drive system on vehicle dynamics performance	51
Study of a generalized stochastic scale-invariant analogue of the Korteweg-de Vries equation	51
Fault-tolerant consensus of nonlinear multi-agent systems with channel noises under multiple faults and denial-of-service attacks	50
Planar dynamics of non-spherical close tidally locked binaries and the restricted three body problem	50
Autonomous swimming on limit cycles with disturbance rejection capability for a fish-inspired robot	50
Temperature modulation effects on chaos and heat transfer in Darcy–Bénard convection using a local thermal non-equilibrium model	50
A method of three-dimensional stability region and ideal roll angle to improve vehicle stability	50
On the study of dynamical wave’s nature to generalized (3 + 1)-dimensional variable-coefficient Kadomtsev-Petviashvili equation: application in the plasma and fluids	49
Unstable limit cycle estimation from small perturbations: a minimal-data-driven approach	49
Extension of dual equivalent linearization to analysis of deterministic dynamic systems. Part 1: single-parameter equivalent linearization	49
Synchronizing Markov jump discrete-time complex dynamical networks via periodic event-triggered controller	49
Circuit realization and application of a chaotic system with hidden attractor, controlled spike discharge and offset boosting	49
Comprehensive dynamic model of a full transmission driveline with nonlinear centrifugal damper	48
A (2+1) modified KdV equation with time-dependent coefficients: exploring soliton solution via Darboux transformation and artificial neural network approach	48
Polynomial synchronization of quaternion-valued fuzzy cellular neural networks with proportional delays	48
Migration-connected networks of Lotka–Volterra and quasi-polynomial systems: modeling and decentralized control	47
Breather and lump-periodic wave solutions to a system of nonlinear wave model arising in fluid mechanics	47
Reinforcement learning-based neural control for discrete-time nonlinear systems via deterministic learning	47
Dynamic analysis of a diabetes mathematical model including heredity parameter and multiple time delays	47
Diverse excitations of two-component rogue waves for a nonautonomous coupled partially nonlocal nonlinear Schrödinger model under a parabolic potential	47
Deep interpolating wavelet network: for spatially adaptive fast discretization and feature capture guidance	47
Shimmy dynamics in a dual-wheel nose landing gear with freeplay under stochastic wind disturbances	47
Understanding the dynamics and drivers of leptospirosis in tropical and subtropical regions: a mathematical and epidemiological approach	46
Spatiotemporal dynamics and synchronization in a memristive Chialvo neural network	46
Motion analysis of magnetic spring pendulum	46
Observer-based adaptive control for uncertain nonholonomic systems subject to time-varying function constraints on states	46
Event-triggered formation adaptive control of singular fractional order multi-agent systems with switching topologies and nonlinear dynamics	46
Nonlinear vibration of spinning joined conical-cylindrical shells with bolt boundary constraints in thermal environment	45
A novel explainable fault diagnosis model for homogenization process using probabilistic Boolean network	45
Numerical simulation on a limit cycle oscillation of a rectangular sheet in three-dimensional flow: influence of vortex element model on post-critical behavior	45
Deep kernel recursive least-squares algorithm	45
Learning criteria of normalized regressor-based adaptive observer for actuator fault diagnosis of disturbed systems	45
An improved tracking differentiator based on discrete-time optimal control and its application for electromagnet suspension control in active vibration isolation system	45
Nonlinear vibrations for three-dimensional four-directional braided composite cylindrical shell subjected to aerodynamic force and external excitation	45
An analytical framework for understanding infection progression under social mitigation measures	44
Evolution of periodic wave and dromion-like structure solutions in the variable coefficients coupled high-order complex Ginzburg–Landau system	44
Reduced-order model-inspired system identification of geometrically nonlinear structures: application to a nonlinear cantilever-type structure	44
The dual Fourier transform spectra (DFTS): a new nonlinear damage indicator for identification of breathing cracks in beam-like structures	44
Stability and bifurcation analysis of a delayed genetic oscillator model	44
Dynamical analysis and accelerated adaptive backstepping control of MEMS triaxial gyroscope with output constraints	44
Mechanical mechanism and parameter optimization of a tuned inerter damper with delayed fractional-order PID	44
On the analysis of an actual model of a quasi-zero stiffness vibration isolator	43
Complex dynamics investigations of a mixed Bertrand duopoly game: synchronization and global analysis	43
Finite-time stability of nonlinear time-varying systems with saturated impulse inputs	42
A universal nonlinear model for the dynamic behaviour of shock absorbers	42
Command-filtered compound FAT learning control of fractional-order nonlinear systems with input delay and external disturbances	42
The effects of wing inertial forces on flight stability of hovering insects with varying stroke plane	42
A study on a nonlocal coupled KdV system	41
Efficient and integration stable nonlinear model predictive controller for autonomous vehicles based on the stabilized explicit integration method	41
Control electromechanical arms by using a neural circuit	41
Novel y-type and hybrid solutions for the $$(2+1)$$-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani equation	41
Stochastic model analysis of cancer oncolytic virus therapy: estimation of the extinction mean times and their probabilities	41
Codesign of adaptive event generator and nonfragile observer for nonlinear systems with bounded disturbances based on interval type-2 T–S fuzzy models	41
Integrability, lump solutions, breather solutions and hybrid solutions for the (2+1)-dimensional variable coefficient Korteweg-de Vries equation	41
Hopf–Hopf bifurcation analysis based on resonance and non-resonance in a simplified railway wheelset model	40
Nonlinear dynamic analysis and numerical continuation of periodic orbits in high-index differential–algebraic equation systems	40
Finite time consensus control for nonlinear heterogeneous multi-agent systems with disturbances	40
Fast image encryption algorithm based on 2D-FCSM and pseudo-wavelet transform	40
Research on operation characteristics of hoisting conveyance under mining deformation action in mine vertical shaft	40
Dynamic vibration characteristics analysis of double input face gear split-parallel transmission system	40
Command-filtered adaptive neural network backstepping quantized control for fractional-order nonlinear systems with asymmetric actuator dead-zone via disturbance observer	40
Riemann–Hilbert approach and N double-pole solutions for the third-order flow equation of nonlinear derivative Schrödinger-type equation	40
Solitonic interactions and explicit solutions for the $$\varvec{(2+1)}$$-dimensional nonlocal derivative nonlinear Schrödinger equation	39
Mechanism of mechanical nanolithography using self-excitation microcantilever	39

Evolutionary dynamics of predator in a community of interacting species	39
State-constrained bipartite tracking of interconnected robotic systems via hierarchical prescribed-performance control	39
Occurrence of gradual resonance in a finite-length granular chain driven by harmonic vibration	39
Oscillatory dynamics of the mammalian circadian clock induced by the core delayed negative feedback loop	38
Predictive tracking of an object by a pan–tilt camera of a robot	38
The asymptotic convergence based on marked locators for time-varying nonlinear multi-agent systems with the protected random switching topologies against stochastic communication disruptions	38
Rolling bearing fault diagnosis method based on dynamic simulated model from source domain to target domain with improved alternating transfer learning	38
Oceanic internal solitary wave interactions via the KP equation in a three-layer fluid with shear flow	38
Fluid–structure interaction-based aerodynamic modeling for flight dynamics simulation of parafoil system	37
Geometric analysis of a two-body problem with quick loss of mass	37
Nonlinear dynamics of a basketball rolling around the rim	37
Performance review of locking alleviation methods for continuum ANCF beam elements	37
Complex scenarios with competing factors	37
Variable selection and identification of high-dimensional nonparametric nonlinear systems by directional regression	37
Complicated periodic cascades arising from double grazing bifurcations in an impact oscillator with two rigid constraints	36
Multi-bifurcation cascaded bursting oscillations and mechanism in a novel 3D non-autonomous circuit system with parametric and external excitation	36
Multi-delay-induced bifurcation singularity in two-neuron neural models with multiple time delays	36
Nonlinear model updating of frictional structures through frequency–energy analysis	36
A new model of Hopfield network with fractional-order neurons for parameter estimation	36
The coSIR model predicts effective strategies to limit the spread of SARS-CoV-2 variants with low severity and high transmissibility	36
Image encryption based on fractional chaotic pseudo-random number generator and DNA encryption method	36
A stochastic agent-based model to evaluate COVID-19 transmission influenced by human mobility	36
New $$(3+1)$$-dimensional Painlevé integrable fifth-order equation with third-order temporal dispersion	36
Vibration absorption of a rectangular plate supporting a DC motor with a TLCD	36
Dynamical properties of the Molniya satellite constellation: long-term evolution of the semi-major axis	36
Impact of fear on a predator–prey system with prey-dependent search rate in deterministic and stochastic environment	36
Pressure-induced nonlinear resonance frequency changes for extracting Young’s modulus of nanodrums	36
On spatial synchronisation as a manifestation of irregular energy cascades in continuous media under the transition to criticality	36
Nonlinear dynamic responses of high-speed railway vehicles under combined self-excitation and forced excitation considering the influence of unsteady aerodynamic loads	36
The nonlinear superposition between anomalous scattering of lumps and other waves for KPI equation	35
Nilpotent bi-center in continuous piecewise $${\mathbb Z}_2$$-equivariant cubic polynomial Hamiltonian systems	35
Analysis of dynamic characteristics of gear-bearing transmission system with shaft current damage	35
Localized excitation and folded solitary wave for an extended (3+1)-dimensional B-type Kadomtsev–Petviashvili equation	35
Performance enhancement of galloping-based piezoelectric energy harvesting by exploiting 1:1 internal resonance of magnetically coupled oscillators	35
Broad learning system-based adaptive optimal control design for dynamic positioning of marine vessels	35
Analysis of elasto-plastic thin-shell structures using layered plastic modeling and absolute nodal coordinate formulation	35
Coexistence of double-parameter nonlinear dynamics and metastable chaos for bistable asymmetric composite laminated square panel under combined external and parametric excitations	35
Suppression of vibration transmission in coupled systems with an inerter-based nonlinear joint	35
Infinite towers in the graphs of many dynamical systems	35
A fractional-order ship power system with extreme multistability	35
Dynamic mechanism of epileptic seizures generation and propagation after ischemic stroke	35
Velocity and input constrained distributed nash equilibrium seeking for multi-agent integrated game and control via event-triggered communication	35
Nonautonomous lump waves of a (3+1)-dimensional Kudryashov–Sinelshchikov equation with variable coefficients in bubbly liquids	35
Nonlinear dynamic characteristics of the multistable wake-galloping energy harvester	34
Correction to: Structural and electrical dynamics of a grating-patterned triboelectric energy harvester with stick–slip oscillation and magnetic bistability	34
Mathematical modelling of the second wave of COVID-19 infections using deterministic and stochastic SIDR models	34
Nonlinear vibrations of a rotor with support nonlinearities considering bounded uncertainties	34
Nonlinear vibrations of a sandwich piezo-beam system under piezoelectric actuation	34
A stochastic SEIHR model for COVID-19 data fluctuations	34
Quasi-periodic motions in a two-class economy with technology choice: an extreme case	34
On occurrence of mixed-torus bursting oscillations induced by non-smoothness	34
Periodic decentralized event-triggered control for nonlinear systems with asynchronous update and dynamic quantization	34
A new way to compute the Lyapunov characteristic exponents for non-smooth and discontinues dynamical systems	34
Nonlinear aeroelastic analysis of a damped elastica-aerofoil system	34
Event-triggered optimal tracking control for strict-feedback nonlinear systems with non-affine nonlinear faults	34
The N-level (N ≥ 4) logistic cascade homogenized mapping for image encryption	34
Codimension-one and codimension-two bifurcations in a new discrete chaotic map based on gene regulatory network model	34
Numerical investigation of nonlinear shear-mode piezoelectric energy generation under permanent magnetic conditions	33
Automotive dry clutch fully coupled transient tribodynamics	33
Effect of ratio threshold control on epidemic dynamics: analysis of an SIR model with non-monotonic incidence	33
Reflection of waves in a waveguide from a boundary with nonlinear stiffness: application to axial and flexural vibrations	33
Soliton-like nonlinear excitation in the FitzHugh–Nagumo cardiac model through the cubic–quintic complex Ginzburg–Landau equation	33
A physics-informed data-driven approach for forecasting bifurcations in dynamical systems	33
Adaptive asymptotic stabilization of uncertain nonstrict feedback nonlinear HOFA systems with time delays	33
Construction of a novel nth-order polynomial chaotic map and its application in the pseudorandom number generator	33
Riemann–Hilbert approach for a (2+1) dimensional Kundu–Mukherjee–Naskar equation	33
Nonlinear stability evolution of railway wagon system due to wheel profile wear	33
Friction-induced traveling wave coupling in tuned bladed-disks	33
Practical tracking control under actuator saturation for a class of flexible-joint robotic manipulators driven by DC motors	32
Bifurcation scenarios in the hardware-in-the-loop experiments of highly interrupted milling processes	32
Stability and local bifurcation analyses of two-wheeled trailers considering the nonlinear coupling between lateral and vertical motions	32
Thermal fractional diffusion: experimental evidence from the discrepancies in the amplitude and phase in photothermal technique	32
Nonlinear spline prioritization optimization adaptive filter with arctangent-exponential hyperbolic cosine	32
Global Analysis of a piecewise smooth epidemiological model of COVID-19	32
Spatio-temporal dynamics of an SIS model with nonlinear incidence and nonlocal disease transmission	32
Energy shaping dynamic tube-MPC for underactuated mechanical systems	32
Ultra-local model-based prescribed performance assist-as-needed control for series elastic actuator-based upper limb patient-exoskeleton system under complex state constraints	32
On the simplification of the internal nonlinear robot models for the MPC-based visual servoing	32
Precise impact time and angle guidance strategy under time-varying velocity	32
Bifurcations of a predator–prey system with cooperative hunting and Holling III functional response	32
Non-trivial solutions and their stability in a two-degree-of-freedom Mathieu–Duffing system	32
Band degeneration and evolution in nonlinear triatomic metamaterials	32
Subharmonic injection locking in coupled oscillator lattice loops	32
On novel peer review system for academic journals: analysis based on social computing	31
Limit cycle oscillation suppression controller design and stability analysis of the periodically time-varying flapping flight dynamics in hover	31
Steering control and stability analysis for an autonomous bicycle: part I—theoretical framework and simulations	31
Quantification of nonlinear output frequency responses for a general input based on volterra series and conditioned spectral analysis	31
On the integrability, multi-shocks, high-order kinky-breathers, L-lump–kink solutions for the non-autonomous perturbed potential Kadomtsev–Petviashvili equation	31
On the nonlinear dynamic characteristics of forced acoustic oscillations in a heat-driven thermoacoustic engine	31
Bidirectional dynamic neural networks with physical analyzability	31
Gram-type, breather and hybrid solutions for the (3+1)-dimensional potential Yu-Toda-Sasa-Fukuyama equation in a two-layer liquid	31
Robotic controller design for sporadic events using large deviations theory	31
Dynamics and multi-scale modeling with time delays for three stages of synaptic facilitation	31
Two-variable boosting bifurcation in a hyperchaotic map and its hardware implementation	31
Adaptive observer for ODE-PDE cascade systems subject to nonlinear dynamics and uncertain parameters	31