Nonlinear Dynamics

(The TQCC of Nonlinear Dynamics is 10. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-07-01 to 2024-07-01.)
Interaction solutions to nonlinear partial differential equations via Hirota bilinear forms: one-lump-multi-stripe and one-lump-multi-soliton types226
Bäcklund transformation, exact solutions and diverse interaction phenomena to a (3+1)-dimensional nonlinear evolution equation168
Data-driven femtosecond optical soliton excitations and parameters discovery of the high-order NLSE using the PINN160
Color image encryption using orthogonal Latin squares and a new 2D chaotic system158
A fast and efficient multiple images encryption based on single-channel encryption and chaotic system154
New extended Kadomtsev–Petviashvili equation: multiple soliton solutions, breather, lump and interaction solutions154
Review on chaotic dynamics of memristive neuron and neural network149
Initial offset boosting coexisting attractors in memristive multi-double-scroll Hopfield neural network145
Rogue wave solutions and the bright and dark solitons of the (3+1)-dimensional Jimbo–Miwa equation142
Bilinear residual network method for solving the exactly explicit solutions of nonlinear evolution equations141
Nonlinear forced vibration of functionally graded graphene platelet-reinforced metal foam cylindrical shells: internal resonances138
Coupled spatial periodic waves and solitons in the photovoltaic photorefractive crystals124
Generalized logistic growth modeling of the COVID-19 outbreak: comparing the dynamics in the 29 provinces in China and in the rest of the world120
Input-to-state stability of impulsive reaction–diffusion neural networks with infinite distributed delays120
Stability and optimal control strategies for a novel epidemic model of COVID-19119
Nonlinear forced vibrations of FGM sandwich cylindrical shells with porosities on an elastic substrate119
A nonlinear vibration isolator supported on a flexible plate: analysis and experiment114
Dynamical analysis of a new chaotic system: asymmetric multistability, offset boosting control and circuit realization111
Coexisting firing patterns and phase synchronization in locally active memristor coupled neurons with HR and FN models107
Painlevé analysis, auto-Bäcklund transformation and analytic solutions of a (2$$+$$1)-dimensional generalized Burgers system with the variable coefficients in a fluid106
Design and application of an S-box using complete Latin square104
Managements of scalar and vector rogue waves in a partially nonlocal nonlinear medium with linear and harmonic potentials103
Chaos cloud quantum bat hybrid optimization algorithm101
Parameter estimation of the incubation period of COVID-19 based on the doubly interval-censored data model99
An image encryption scheme based on multi-objective optimization and block compressed sensing96
Bright soliton solutions of the (2+1)-dimensional generalized coupled nonlinear Schrödinger equation with the four-wave mixing term96
Prediction and dynamical evolution of multipole soliton families in fractional Schrödinger equation with the PT-symmetric potential and saturable nonlinearity95
Soliton interaction control through dispersion and nonlinear effects for the fifth-order nonlinear Schrödinger equation94
Model order reduction methods for geometrically nonlinear structures: a review of nonlinear techniques92
Global dynamics of a multi-strain SEIR epidemic model with general incidence rates: application to COVID-19 pandemic91
Analysis and design of a novel and compact X-structured vibration isolation mount (X-Mount) with wider quasi-zero-stiffness range91
A nonlinear ultra-low-frequency vibration isolator with dual quasi-zero-stiffness mechanism91
Color image encryption based on cross 2D hyperchaotic map using combined cycle shift scrambling and selecting diffusion90
Hyperchaotic memristive ring neural network and application in medical image encryption89
An improved dynamic model of spur gear transmission considering coupling effect between gear neighboring teeth86
A tristable locally active memristor and its application in Hopfield neural network84
Nondegenerate solitons of 2-coupled mixed derivative nonlinear Schrödinger equations83
Painlevé integrability and lump solutions for two extended (3 + 1)- and (2 + 1)-dimensional Kadomtsev–Petviashvili equations82
A locally active discrete memristor model and its application in a hyperchaotic map79
Image encryption algorithm with circle index table scrambling and partition diffusion78
The variable separation solution, fractal and chaos in an extended coupled (2+1)-dimensional Burgers system78
Studies on certain bilinear form, N-soliton, higher-order breather, periodic-wave and hybrid solutions to a (3+1)-dimensional shallow water wave equation with time-dependent coefficients77
N-fold Darboux transformation and solitonic interactions for the Kraenkel–Manna–Merle system in a saturated ferromagnetic material75
Wronskian, Gramian, Pfaffian and periodic-wave solutions for a (3+1)-dimensional generalized nonlinear evolution equation arising in the shallow water waves75
Nonlinear targeted energy transfer: state of the art and new perspectives74
The interference wave and the bright and dark soliton for two integro-differential equation by using BNNM73
A fractional-order multistable locally active memristor and its chaotic system with transient transition, state jump73
Lump, soliton, and interaction solutions to a generalized two-mode higher-order nonlinear evolution equation in plasma physics73
Human mobility and COVID-19 initial dynamics73
A feasible neuron for estimating the magnetic field effect72
Nonlinear control of logic structure of all-optical logic devices using soliton interactions72
Comprehensive theoretical and experimental investigation of the rotational impact energy harvester with the centrifugal softening effect71
Memristive electromagnetic induction effects on Hopfield neural network70
New $$(3+1)$$-dimensional Painlevé integrable fifth-order equation with third-order temporal dispersion70
Analysis of lumps, single-stripe, breather-wave, and two-wave solutions to the generalized perturbed-KdV equation by means of Hirota’s bilinear method68
Interaction dynamics of hybrid solitons and breathers for extended generalization of Vakhnenko equation68
Nonlinear phenomena of contact in multibody systems dynamics: a review67
A review of the mechanical inerter: historical context, physical realisations and nonlinear applications66
A second-order stochastic resonance method enhanced by fractional-order derivative for mechanical fault detection65
The Lorenz system: hidden boundary of practical stability and the Lyapunov dimension65
Generation and transformation of dark solitons, anti-dark solitons and dark double-hump solitons64
A new (3 + 1)-dimensional Schrödinger equation: derivation, soliton solutions and conservation laws63
An improved quasi-zero stiffness isolator with two pairs of oblique springs to increase isolation frequency band62
Quantum logistic image encryption algorithm based on SHA-3 and RSA62
Synchronization and chimeras in a network of photosensitive FitzHugh–Nagumo neurons62
Design of pseudo-random number generator from turbulence padded chaotic map61
Bistable attachments for wideband nonlinear vibration attenuation in a metamaterial beam61
Nondegenerate soliton dynamics of nonlocal nonlinear Schrödinger equation61
Forecast analysis of the epidemics trend of COVID-19 in the USA by a generalized fractional-order SEIR model60
N-order rogue waves and their novel colliding dynamics for a transient stimulated Raman scattering system arising from nonlinear optics60
Biophysical mechanism of signal encoding in an auditory neuron59
Dynamic event-based reliable dissipative asynchronous control for stochastic Markov jump systems with general conditional probabilities59
Fixed-time disturbance observer-based robust fault-tolerant tracking control for uncertain quadrotor UAV subject to input delay58
High-order sliding mode observer-based trajectory tracking control for a quadrotor UAV with uncertain dynamics58
Epidemic model of COVID-19 outbreak by inducing behavioural response in population58
COVID-19 pandemic in India: a mathematical model study57
Trends, directions for further research, and some open problems of fractional calculus57
Abundant vector soliton prediction and model parameter discovery of the coupled mixed derivative nonlinear Schrödinger equation57
Solving localized wave solutions of the derivative nonlinear Schrödinger equation using an improved PINN method57
Multiple rogue wave, breather wave and interaction solutions of a generalized (3 + 1)-dimensional variable-coefficient nonlinear wave equation57
How to compute invariant manifolds and their reduced dynamics in high-dimensional finite element models56
Reproduce the biophysical function of chemical synapse by using a memristive synapse56
Effective amplification of optical solitons in high power transmission systems56
Auto-Bäcklund transformations and soliton solutions on the nonzero background for a (3+1)-dimensional Korteweg-de Vries-Calogero-Bogoyavlenskii-Schif equation in a fluid56
Nonlinear model predictive control with logic constraints for COVID-19 management55
Dynamics of optical solitons and nonautonomous complex wave solutions to the nonlinear Schrodinger equation with variable coefficients55
Dark wave, rogue wave and perturbation solutions of Ivancevic option pricing model55
How to wake up the electric synapse coupling between neurons?55
A novel perturbation method to reduce the dynamical degradation of digital chaotic maps54
Lax pair, Darboux transformation, breathers and rogue waves of an $$\pmb {N}$$-coupled nonautonomous nonlinear Schrödinger system for an optical fiber or a plasma53
Remote sensing image compression and encryption based on block compressive sensing and 2D-LCCCM53
Mathematical model of COVID-19 with comorbidity and controlling using non-pharmaceutical interventions and vaccination53
Vector soliton pairs for a coupled nonautonomous NLS model with partially nonlocal coupled nonlinearities under the external potentials52
Nonlinear dynamic analysis of an epidemiological model for COVID-19 including public behavior and government action52
Finite-time adaptive neural resilient DSC for fractional-order nonlinear large-scale systems against sensor-actuator faults52
Design of a metastructure for vibration isolation with quasi-zero-stiffness characteristics using bistable curved beam52
A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types51
Parameter identification for discrete memristive chaotic map using adaptive differential evolution algorithm51
The integrable Boussinesq equation and it’s breather, lump and soliton solutions51
Design criteria of bistable nonlinear energy sink in steady-state dynamics of beams and plates51
A health performance evaluation method of multirotors under wind turbulence50
A S-type bistable locally active memristor model and its analog implementation in an oscillator circuit50
Adaptive attack-resilient control for Markov jump system with additive attacks49
Continuous adaptive integral-type sliding mode control based on disturbance observer for PMSM drives49
Fixed-time SOSM controller design with output constraint49
A ship motion forecasting approach based on empirical mode decomposition method hybrid deep learning network and quantum butterfly optimization algorithm49
Study of the generalization of regularized long-wave equation48
Regulating memristive neuronal dynamical properties via excitatory or inhibitory magnetic field coupling48
The numerical modeling of rotor–stator rubbing in rotating machinery: a comprehensive review48
Dynamics of diverse data-driven solitons for the three-component coupled nonlinear Schrödinger model by the MPS-PINN method48
Adaptive neural network consensus tracking control for uncertain multi-agent systems with predefined accuracy48
Effects of dispersion terms on optical soliton propagation in a lossy fiber system48
Nonlinear dynamics of acoustic bubbles excited by their pressure-dependent subharmonic resonance frequency: influence of the pressure amplitude, frequency, encapsulation and multiple bubble interactio48
Data-driven-based event-triggered optimal control of unknown nonlinear systems with input constraints48
A nonlinear dynamic vibration model of cylindrical roller bearing considering skidding47
Mathematical modeling and optimal intervention strategies of the COVID-19 outbreak47
Nonlinear forced vibrations of rotating cylindrical shells under multi-harmonic excitations in thermal environment47
Dynamical analysis of an improved FitzHugh-Nagumo neuron model with multiplier-free implementation47
An efficient dual-layer cross-coupled chaotic map security-based multi-image encryption system47
Collision dynamics of three-solitons in an optical communication system with third-order dispersion and nonlinearity47
A nonlinear vibration isolator with quasi-zero-stiffness inspired by Miura-origami tube46
Co-evolution spreading of multiple information and epidemics on two-layered networks under the influence of mass media46
Numerical simulation and stability analysis of a novel reaction–diffusion COVID-19 model46
Ultra-low frequency energy harvesting using bi-stability and rotary-translational motion in a magnet-tethered oscillator45
Use of generalized refined composite multiscale fractional dispersion entropy to diagnose the faults of rolling bearing45
A sliding mode observer for robust fault reconstruction in a class of nonlinear non-infinitely observable descriptor systems45
Integrable (3+1)-dimensional Ito equation: variety of lump solutions and multiple-soliton solutions44
Stable transmission characteristics of double-hump solitons for the coupled Manakov equations in fiber lasers44
Vector breathers, rogue and breather-rogue waves for a coupled mixed derivative nonlinear Schrödinger system in an optical fiber44
Stabilization of the passive walking dynamics of the compass-gait biped robot by developing the analytical expression of the controlled Poincaré map43
Gradient-optimized physics-informed neural networks (GOPINNs): a deep learning method for solving the complex modified KdV equation43
Experimental and numerical studies of intestinal frictions for propulsive force optimisation of a vibro-impact capsule system43
Resonant multiple wave, periodic wave and interaction solutions of the new extended (3 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation42
Observer-based adaptive fuzzy finite-time prescribed performance tracking control for strict-feedback systems with input dead-zone and saturation42
Firing mechanism based on single memristive neuron and double memristive coupled neurons42
A variety of new rogue wave patterns for three coupled nonlinear Maccari’s models in complex form41
Impact of information diffusion on epidemic spreading in partially mapping two-layered time-varying networks41
Consensus of nonlinear multiagent systems with intermittent dynamic event-triggered protocols41
Bifurcation analysis, chaotic behaviors, sensitivity analysis, and soliton solutions of a generalized Schrödinger equation41
Nonlinear vibrations and damping of fractional viscoelastic rectangular plates41
Epidemic dynamics of influenza-like diseases spreading in complex networks40
A fractional-order SEIHDR model for COVID-19 with inter-city networked coupling effects40
Nonlinear vibrations of rotating pretwisted composite blade reinforced by functionally graded graphene platelets under combined aerodynamic load and airflow in tip clearance39
Review and new theoretical perspectives on active disturbance rejection control for uncertain finite-dimensional and infinite-dimensional systems39
Chaotic resonance in Izhikevich neural network motifs under electromagnetic induction39
2D mixed pseudo-random coupling PS map lattice and its application in S-box generation39
An adjustable visual image cryptosystem based on 6D hyperchaotic system and compressive sensing39
Bispectral mode decomposition of nonlinear flows38
Prescribed-time ESO-based prescribed-time control and its application to partial IGC design38
Delay-induced chaos and its possible control in a seasonally forced eco-epidemiological model with fear effect and predator switching38
Permutation entropy-based 2D feature extraction for bearing fault diagnosis38
A new type-3 fuzzy predictive controller for MEMS gyroscopes38
Nonlinear oscillations of electrically driven aniso-visco-hyperelastic dielectric elastomer minimum energy structures38
Model order reduction based on direct normal form: application to large finite element MEMS structures featuring internal resonance38
Design, analysis and semi-active control of a quasi-zero stiffness vibration isolation system with six oblique springs38
Self-delayed feedback car-following control with the velocity uncertainty of preceding vehicles on gradient roads38
Assessing the effect of containment measures on the spatio-temporal dynamic of COVID-19 in Italy37
COVID-19: data-driven dynamics, statistical and distributed delay models, and observations37
Nonlinear vibration and dynamic stability analysis of an axially moving beam with a nonlinear energy sink37
Spread mechanism and control strategy of social network rumors under the influence of COVID-1937
Bilinear Bäcklund transformation, Lax pair and interactions of nonlinear waves for a generalized (2 + 1)-dimensional nonlinear wave equation in nonlinear optics/fluid mechanics/plasma physics37
Integrability, multi-solitons, breathers, lumps and wave interactions for generalized extended Kadomtsev–Petviashvili equation37
Dynamic analysis of 1-dof and 2-dof nonlinear energy sink with geometrically nonlinear damping and combined stiffness37
An exploration of fractal-based prognostic model and comparative analysis for second wave of COVID-19 diffusion36
Bilinear form, soliton, breather, hybrid and periodic-wave solutions for a (3+1)-dimensional Korteweg–de Vries equation in a fluid36
Breathers and rogue waves on the double-periodic background for the reverse-space-time derivative nonlinear Schrödinger equation36
Multistable dynamics in a Hopfield neural network under electromagnetic radiation and dual bias currents36
Extended state observer-based adaptive prescribed performance control for a class of nonlinear systems with full-state constraints and uncertainties36
Interpreting, analysing and modelling COVID-19 mortality data36
Geometrical patterns of time variable Kadomtsev–Petviashvili (I) equation that models dynamics of waves in thin films with high surface tension36
Pseudo-random number generator based on a generalized conservative Sprott-A system36
Distributed fixed-time optimization for multi-agent systems over a directed network35
Bilinear form, solitons, breathers, lumps and hybrid solutions for a (3+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation35
Theoretical and experimental study of an enhanced nonlinear energy sink35
The role of punishment in the spatial public goods game35
Mathematical modeling and mechanisms of pattern formation in ecological systems: a review35
A new locally active memristive synapse-coupled neuron model35
Spatiotemporal dynamics induced by nonlocal competition in a diffusive predator-prey system with habitat complexity35
Nonlinear energy-based control of soft continuum pneumatic manipulators35
Simplified coded dispersion entropy: a nonlinear metric for signal analysis35
Coexisting multi-stability of Hopfield neural network based on coupled fractional-order locally active memristor and its application in image encryption34
Dark and bright soliton solutions and computational modeling of nonlinear regularized long wave model34
Wave structures and the chaotic behaviors of the cubic-quartic nonlinear Schrödinger equation for parabolic law in birefringent fibers34
Hierarchical diversity entropy for the early fault diagnosis of rolling bearing34
Soliton, breather and rogue wave solutions of the coupled Gerdjikov–Ivanov equation via Darboux transformation34
A memristive system and its applications in red–blue 3D glasses and image encryption algorithm with DNA variation34
Localized waves and mixed interaction solutions with dynamical analysis to the Gross–Pitaevskii equation in the Bose–Einstein condensate34
Soliton solutions of the nonlinear sine-Gordon model with Neumann boundary conditions arising in crystal dislocation theory34
Effects of control measures on the dynamics of COVID-19 and double-peak behavior in Spain34
N-soliton, Mth-order breather, Hth-order lump, and hybrid solutions of an extended (3+1)-dimensional Kadomtsev-Petviashvili equation33
Novel image cryptosystem based on new 2D hyperchaotic map and dynamical chaotic S-box33
Vaccination control of an epidemic model with time delay and its application to COVID-1933
Micro-amplitude vibration suppression of a bistable nonlinear energy sink constructed by a buckling beam33
Comparison of nonlinear mappings for reduced-order modelling of vibrating structures: normal form theory and quadratic manifold method with modal derivatives33
Global multistability and analog circuit implementation of an adapting synapse-based neuron model33
Adaptive fuzzy finite-time control of stochastic nonlinear systems with actuator faults33
Synchronization mode transitions induced by chaos in modified Morris–Lecar neural systems with weak coupling33
High order direct parametrisation of invariant manifolds for model order reduction of finite element structures: application to large amplitude vibrations and uncovering of a folding point33
A review on the nonlinear dynamics of hyperelastic structures33
Study on dynamical behavior of multiple lump solutions and interaction between solitons and lump wave33
A novel sliding surface design for predefined-time stabilization of Euler–Lagrange systems33
Nonparametric bifurcation mechanism in 2-D hyperchaotic discrete memristor-based map33
Steady-state response of a viscoelastic beam with asymmetric elastic supports coupled to a lever-type nonlinear energy sink33
Light-powered self-excited motion of a liquid crystal elastomer rotator32
Mittag–Leffler stability of nabla discrete fractional-order dynamic systems32
Design and characteristics of a novel QZS vibration isolation system with origami-inspired corrector32
Memristive Hénon map with hidden Neimark–Sacker bifurcations32
Non-singular multi-complexiton wave to a generalized KdV equation32
Finite-time prescribed performance control of MEMS gyroscopes32
Hidden attractors in Chua circuit: mathematical theory meets physical experiments32
Fixed-time integral sliding mode control of a high-order nonlinear system32
Magneto-electro-elastic modelling and nonlinear vibration analysis of bi-directional functionally graded beams32
Lévy noise promotes cooperation in the prisoner’s dilemma game with reinforcement learning32
Discretized locally active memristor and application in logarithmic map32
Analysis and active control of nonlinear vibration of composite lattice sandwich plates32
Robust control of reaction wheel bicycle robot via adaptive integral terminal sliding mode31
On the soliton solutions for an intrinsic fractional discrete nonlinear electrical transmission line31
Optical solitons and bifurcation analysis in fiber Bragg gratings with Lie symmetry and Kudryashov’s approach31
ANS-net: anti-noise Siamese network for bearing fault diagnosis with a few data31
Based on robust sliding mode and linear active disturbance rejection control for attitude of quadrotor load UAV31
Event-triggered fixed-time adaptive fuzzy control for state-constrained stochastic nonlinear systems without feasibility conditions31
Image encryption algorithm with matrix semi-tensor product31
Smooth nonlinear fitting scheme for analog multiplierless implementation of Hindmarsh–Rose neuron model31
NSGA-II as feature selection technique and AdaBoost classifier for COVID-19 prediction using patient’s symptoms31
Optical soliton resonances and soliton molecules for the Lakshmanan–Porsezian–Daniel system in nonlinear optics30
Nonlinear analysis of L-shaped pipe conveying fluid with the aid of absolute nodal coordinate formulation30
Memristive hyperchaos secure communication based on sliding mode control30
A color image encryption algorithm based on hyperchaotic map and Rubik’s Cube scrambling30
An amplitude-controllable 3-D hyperchaotic map with homogenous multistability30
A uniform chaotic system with extended parameter range for image encryption30
Novel fractional-order convolutional neural network based chatter diagnosis approach in turning process with chaos error mapping30
Dynamic characteristics of ball bearing-coupling-rotor system with angular misalignment fault29
Nonlinear dynamics and flutter of plate and cavity in response to supersonic wind tunnel start29
Exact solutions with elastic interactions for the (2 $$+$$ 1)-dimensional extended Kadomtsev–Petviashvili equation29
Low-frequency multi-direction vibration isolation via a new arrangement of the X-shaped linkage mechanism29
Stable and oscillating solitons of $$\pmb {\mathcal {PT}}$$-symmetric couplers with gain and loss in fractional dimension29
A parametric and feasibility study for data sampling of the dynamic mode decomposition: range, resolution, and universal convergence states29
Rate-dependent asymmetric hysteresis modeling and robust adaptive trajectory tracking for piezoelectric micropositioning stages29
Dynamics analysis and hardware implementation of multi-scroll hyperchaotic hidden attractors based on locally active memristive Hopfield neural network29
Nonlinear design analysis of centrifugal pendulum vibration absorbers: an intrinsic geometry-based framework29
Dynamics of COVID-19 transmission with comorbidity: a data driven modelling based approach28
Propagation dynamics of tripole breathers in nonlocal nonlinear media28
Dynamical analysis of coronavirus disease with crowding effect, and vaccination: a study of third strain28
Two new Painlevé integrable KdV–Calogero–Bogoyavlenskii–Schiff (KdV-CBS) equation and new negative-order KdV-CBS equation28
Frequency–energy plot and targeted energy transfer analysis of coupled bistable nonlinear energy sink with linear oscillator28
Mechanisms of recurrent outbreak of COVID-19: a model-based study28
Uniform non-degeneracy discrete chaotic system and its application in image encryption28
Nonlinear responses and bifurcations of a rotor-bearing system supported by squeeze-film damper with retainer spring subjected to base excitations28
Robust observer-based anti-swing control of 2D-crane systems with load hoisting-lowering28
Hamiltonian energy computation and complex behavior of a small heterogeneous network of three neurons: circuit implementation28