Nonlinear Dynamics

Article	Citations
Interaction solutions to nonlinear partial differential equations via Hirota bilinear forms: one-lump-multi-stripe and one-lump-multi-soliton types	234
Bäcklund transformation, exact solutions and diverse interaction phenomena to a (3+1)-dimensional nonlinear evolution equation	178
Color image encryption using orthogonal Latin squares and a new 2D chaotic system	176
A fast and efficient multiple images encryption based on single-channel encryption and chaotic system	174
Data-driven femtosecond optical soliton excitations and parameters discovery of the high-order NLSE using the PINN	169
Review on chaotic dynamics of memristive neuron and neural network	163
New extended Kadomtsev–Petviashvili equation: multiple soliton solutions, breather, lump and interaction solutions	162
Initial offset boosting coexisting attractors in memristive multi-double-scroll Hopfield neural network	158
Bilinear residual network method for solving the exactly explicit solutions of nonlinear evolution equations	151
Rogue wave solutions and the bright and dark solitons of the (3+1)-dimensional Jimbo–Miwa equation	149
Nonlinear forced vibration of functionally graded graphene platelet-reinforced metal foam cylindrical shells: internal resonances	143
Nonlinear forced vibrations of FGM sandwich cylindrical shells with porosities on an elastic substrate	127
Input-to-state stability of impulsive reaction–diffusion neural networks with infinite distributed delays	124
Stability and optimal control strategies for a novel epidemic model of COVID-19	122
A nonlinear vibration isolator supported on a flexible plate: analysis and experiment	118
Dynamical analysis of a new chaotic system: asymmetric multistability, offset boosting control and circuit realization	114
Color image encryption based on cross 2D hyperchaotic map using combined cycle shift scrambling and selecting diffusion	112
An image encryption scheme based on multi-objective optimization and block compressed sensing	112
Design and application of an S-box using complete Latin square	111
Coexisting firing patterns and phase synchronization in locally active memristor coupled neurons with HR and FN models	110
Painlevé analysis, auto-Bäcklund transformation and analytic solutions of a (2$$+$$1)-dimensional generalized Burgers system with the variable coefficients in a fluid	108
Prediction and dynamical evolution of multipole soliton families in fractional Schrödinger equation with the PT-symmetric potential and saturable nonlinearity	105
Chaos cloud quantum bat hybrid optimization algorithm	105
Model order reduction methods for geometrically nonlinear structures: a review of nonlinear techniques	101
Parameter estimation of the incubation period of COVID-19 based on the doubly interval-censored data model	100

Bright soliton solutions of the (2+1)-dimensional generalized coupled nonlinear Schrödinger equation with the four-wave mixing term	98
Soliton interaction control through dispersion and nonlinear effects for the fifth-order nonlinear Schrödinger equation	96
Hyperchaotic memristive ring neural network and application in medical image encryption	95
Painlevé integrability and lump solutions for two extended (3 + 1)- and (2 + 1)-dimensional Kadomtsev–Petviashvili equations	95
A tristable locally active memristor and its application in Hopfield neural network	92
Nondegenerate solitons of 2-coupled mixed derivative nonlinear Schrödinger equations	92
A locally active discrete memristor model and its application in a hyperchaotic map	92
An improved dynamic model of spur gear transmission considering coupling effect between gear neighboring teeth	88
Nonlinear targeted energy transfer: state of the art and new perspectives	85
Lump, soliton, and interaction solutions to a generalized two-mode higher-order nonlinear evolution equation in plasma physics	85
The interference wave and the bright and dark soliton for two integro-differential equation by using BNNM	84
N-fold Darboux transformation and solitonic interactions for the Kraenkel–Manna–Merle system in a saturated ferromagnetic material	83
Image encryption algorithm with circle index table scrambling and partition diffusion	79
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 coefficients	78
The variable separation solution, fractal and chaos in an extended coupled (2+1)-dimensional Burgers system	78
A fractional-order multistable locally active memristor and its chaotic system with transient transition, state jump	77
Wronskian, Gramian, Pfaffian and periodic-wave solutions for a (3+1)-dimensional generalized nonlinear evolution equation arising in the shallow water waves	76
Memristive electromagnetic induction effects on Hopfield neural network	75
Synchronization and chimeras in a network of photosensitive FitzHugh–Nagumo neurons	74
New $$(3+1)$$-dimensional Painlevé integrable fifth-order equation with third-order temporal dispersion	74
A review of the mechanical inerter: historical context, physical realisations and nonlinear applications	73
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	73
Analysis of lumps, single-stripe, breather-wave, and two-wave solutions to the generalized perturbed-KdV equation by means of Hirota’s bilinear method	72
A second-order stochastic resonance method enhanced by fractional-order derivative for mechanical fault detection	72
Nonlinear control of logic structure of all-optical logic devices using soliton interactions	72
A new (3 + 1)-dimensional Schrödinger equation: derivation, soliton solutions and conservation laws	71
Nonlinear phenomena of contact in multibody systems dynamics: a review	71
Generation and transformation of dark solitons, anti-dark solitons and dark double-hump solitons	70
Fixed-time disturbance observer-based robust fault-tolerant tracking control for uncertain quadrotor UAV subject to input delay	70
Finite-time adaptive neural resilient DSC for fractional-order nonlinear large-scale systems against sensor-actuator faults	69
Trends, directions for further research, and some open problems of fractional calculus	68
Solving localized wave solutions of the derivative nonlinear Schrödinger equation using an improved PINN method	68
An improved quasi-zero stiffness isolator with two pairs of oblique springs to increase isolation frequency band	68
Study of the generalization of regularized long-wave equation	67
Dark wave, rogue wave and perturbation solutions of Ivancevic option pricing model	67
Biophysical mechanism of signal encoding in an auditory neuron	64
Remote sensing image compression and encryption based on block compressive sensing and 2D-LCCCM	64
Quantum logistic image encryption algorithm based on SHA-3 and RSA	64
Nondegenerate soliton dynamics of nonlocal nonlinear Schrödinger equation	64
Design of pseudo-random number generator from turbulence padded chaotic map	63
High-order sliding mode observer-based trajectory tracking control for a quadrotor UAV with uncertain dynamics	63
Reproduce the biophysical function of chemical synapse by using a memristive synapse	62
How to compute invariant manifolds and their reduced dynamics in high-dimensional finite element models	61
Multiple rogue wave, breather wave and interaction solutions of a generalized (3 + 1)-dimensional variable-coefficient nonlinear wave equation	60
A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types	60
How to wake up the electric synapse coupling between neurons?	58
Abundant vector soliton prediction and model parameter discovery of the coupled mixed derivative nonlinear Schrödinger equation	58
A novel perturbation method to reduce the dynamical degradation of digital chaotic maps	58
Effective amplification of optical solitons in high power transmission systems	57
Design of a metastructure for vibration isolation with quasi-zero-stiffness characteristics using bistable curved beam	57

Dynamics of optical solitons and nonautonomous complex wave solutions to the nonlinear Schrodinger equation with variable coefficients	57
Design criteria of bistable nonlinear energy sink in steady-state dynamics of beams and plates	56
Data-driven-based event-triggered optimal control of unknown nonlinear systems with input constraints	56
Nonlinear model predictive control with logic constraints for COVID-19 management	56
Vector soliton pairs for a coupled nonautonomous NLS model with partially nonlocal coupled nonlinearities under the external potentials	55
Mathematical model of COVID-19 with comorbidity and controlling using non-pharmaceutical interventions and vaccination	55
Collision dynamics of three-solitons in an optical communication system with third-order dispersion and nonlinearity	55
Lax pair, Darboux transformation, breathers and rogue waves of an $$\pmb {N}$$-coupled nonautonomous nonlinear Schrödinger system for an optical fiber or a plasma	55
A variety of new rogue wave patterns for three coupled nonlinear Maccari’s models in complex form	54
Co-evolution spreading of multiple information and epidemics on two-layered networks under the influence of mass media	54
A ship motion forecasting approach based on empirical mode decomposition method hybrid deep learning network and quantum butterfly optimization algorithm	54
The integrable Boussinesq equation and it’s breather, lump and soliton solutions	53
Dynamical analysis of an improved FitzHugh-Nagumo neuron model with multiplier-free implementation	53
Adaptive attack-resilient control for Markov jump system with additive attacks	52
Integrable (3+1)-dimensional Ito equation: variety of lump solutions and multiple-soliton solutions	52
Effects of dispersion terms on optical soliton propagation in a lossy fiber system	52
A nonlinear dynamic vibration model of cylindrical roller bearing considering skidding	52
Vector breathers, rogue and breather-rogue waves for a coupled mixed derivative nonlinear Schrödinger system in an optical fiber	52
Bifurcation analysis, chaotic behaviors, sensitivity analysis, and soliton solutions of a generalized Schrödinger equation	51
Firing mechanism based on single memristive neuron and double memristive coupled neurons	51
A S-type bistable locally active memristor model and its analog implementation in an oscillator circuit	51
Parameter identification for discrete memristive chaotic map using adaptive differential evolution algorithm	51
A nonlinear vibration isolator with quasi-zero-stiffness inspired by Miura-origami tube	50
Mathematical modeling and optimal intervention strategies of the COVID-19 outbreak	50
Continuous adaptive integral-type sliding mode control based on disturbance observer for PMSM drives	50
Dynamics of diverse data-driven solitons for the three-component coupled nonlinear Schrödinger model by the MPS-PINN method	50
Gradient-optimized physics-informed neural networks (GOPINNs): a deep learning method for solving the complex modified KdV equation	50
Nonlinear dynamics of acoustic bubbles excited by their pressure-dependent subharmonic resonance frequency: influence of the pressure amplitude, frequency, encapsulation and multiple bubble interactio	50
Nonlinear forced vibrations of rotating cylindrical shells under multi-harmonic excitations in thermal environment	49
Numerical simulation and stability analysis of a novel reaction–diffusion COVID-19 model	49
Regulating memristive neuronal dynamical properties via excitatory or inhibitory magnetic field coupling	49
An efficient dual-layer cross-coupled chaotic map security-based multi-image encryption system	48
Impact of information diffusion on epidemic spreading in partially mapping two-layered time-varying networks	46
Stable transmission characteristics of double-hump solitons for the coupled Manakov equations in fiber lasers	46
Observer-based adaptive fuzzy finite-time prescribed performance tracking control for strict-feedback systems with input dead-zone and saturation	45
Dynamics analysis and hardware implementation of multi-scroll hyperchaotic hidden attractors based on locally active memristive Hopfield neural network	45
Prescribed-time ESO-based prescribed-time control and its application to partial IGC design	44
Resonant multiple wave, periodic wave and interaction solutions of the new extended (3 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation	44
N-soliton, Mth-order breather, Hth-order lump, and hybrid solutions of an extended (3+1)-dimensional Kadomtsev-Petviashvili equation	43
Novel image cryptosystem based on new 2D hyperchaotic map and dynamical chaotic S-box	43
Design, analysis and semi-active control of a quasi-zero stiffness vibration isolation system with six oblique springs	43
A new locally active memristive synapse-coupled neuron model	43
Integrability, multi-solitons, breathers, lumps and wave interactions for generalized extended Kadomtsev–Petviashvili equation	43
A new type-3 fuzzy predictive controller for MEMS gyroscopes	42
Nonlinear vibration and dynamic stability analysis of an axially moving beam with a nonlinear energy sink	42
Lévy noise promotes cooperation in the prisoner’s dilemma game with reinforcement learning	41
Nonlinear oscillations of electrically driven aniso-visco-hyperelastic dielectric elastomer minimum energy structures	41
Nonlinear vibrations of rotating pretwisted composite blade reinforced by functionally graded graphene platelets under combined aerodynamic load and airflow in tip clearance	41
A review on the nonlinear dynamics of hyperelastic structures	41
Bispectral mode decomposition of nonlinear flows	41
Extended state observer-based adaptive prescribed performance control for a class of nonlinear systems with full-state constraints and uncertainties	41
Chaotic resonance in Izhikevich neural network motifs under electromagnetic induction	41
Consensus of nonlinear multiagent systems with intermittent dynamic event-triggered protocols	41
Self-delayed feedback car-following control with the velocity uncertainty of preceding vehicles on gradient roads	41
Model order reduction based on direct normal form: application to large finite element MEMS structures featuring internal resonance	40
Delay-induced chaos and its possible control in a seasonally forced eco-epidemiological model with fear effect and predator switching	40
Adaptive fuzzy finite-time control of stochastic nonlinear systems with actuator faults	40
An adjustable visual image cryptosystem based on 6D hyperchaotic system and compressive sensing	40
2D mixed pseudo-random coupling PS map lattice and its application in S-box generation	40
Coexisting multi-stability of Hopfield neural network based on coupled fractional-order locally active memristor and its application in image encryption	39
Simplified coded dispersion entropy: a nonlinear metric for signal analysis	39
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 point	39
Geometrical patterns of time variable Kadomtsev–Petviashvili (I) equation that models dynamics of waves in thin films with high surface tension	39
Micro-amplitude vibration suppression of a bistable nonlinear energy sink constructed by a buckling beam	39
Design and characteristics of a novel QZS vibration isolation system with origami-inspired corrector	39
Dynamic analysis of 1-dof and 2-dof nonlinear energy sink with geometrically nonlinear damping and combined stiffness	39
Hidden attractors in Chua circuit: mathematical theory meets physical experiments	38
Theoretical and experimental study of an enhanced nonlinear energy sink	38
Multistable dynamics in a Hopfield neural network under electromagnetic radiation and dual bias currents	38
Pseudo-random number generator based on a generalized conservative Sprott-A system	38
An exploration of fractal-based prognostic model and comparative analysis for second wave of COVID-19 diffusion	38
A memristive system and its applications in red–blue 3D glasses and image encryption algorithm with DNA variation	38
The role of punishment in the spatial public goods game	38
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 physics	37
Distributed fixed-time optimization for multi-agent systems over a directed network	37
Image encryption algorithm with matrix semi-tensor product	37
Discretized locally active memristor and application in logarithmic map	37
Wave structures and the chaotic behaviors of the cubic-quartic nonlinear Schrödinger equation for parabolic law in birefringent fibers	37
Breathers and rogue waves on the double-periodic background for the reverse-space-time derivative nonlinear Schrödinger equation	37
Fixed-time integral sliding mode control of a high-order nonlinear system	37

A color image encryption algorithm based on hyperchaotic map and Rubik’s Cube scrambling	36
Synchronization mode transitions induced by chaos in modified Morris–Lecar neural systems with weak coupling	36
Nonlinear energy-based control of soft continuum pneumatic manipulators	36
Memristor-induced mode transitions and extreme multistability in a map-based neuron model	36
A novel sliding surface design for predefined-time stabilization of Euler–Lagrange systems	36
Memristive Hénon map with hidden Neimark–Sacker bifurcations	36
Construction of controlled multi-scroll conservative chaotic system and its application in color image encryption	36
Bilinear form, soliton, breather, hybrid and periodic-wave solutions for a (3+1)-dimensional Korteweg–de Vries equation in a fluid	36
Prediction of soliton evolution and equation parameters for NLS–MB equation based on the phPINN algorithm	36
Bilinear form, solitons, breathers, lumps and hybrid solutions for a (3+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation	35
Hierarchical diversity entropy for the early fault diagnosis of rolling bearing	35
Soliton solutions of the nonlinear sine-Gordon model with Neumann boundary conditions arising in crystal dislocation theory	35
Spatiotemporal dynamics induced by nonlocal competition in a diffusive predator-prey system with habitat complexity	35
Pseudorandom number generator based on novel 2D Hénon-Sine hyperchaotic map with microcontroller implementation	35
Low-frequency multi-direction vibration isolation via a new arrangement of the X-shaped linkage mechanism	35
Steady-state response of a viscoelastic beam with asymmetric elastic supports coupled to a lever-type nonlinear energy sink	35
Localized waves and mixed interaction solutions with dynamical analysis to the Gross–Pitaevskii equation in the Bose–Einstein condensate	35
Mathematical modeling and mechanisms of pattern formation in ecological systems: a review	35
Magneto-electro-elastic modelling and nonlinear vibration analysis of bi-directional functionally graded beams	35
Dark and bright soliton solutions and computational modeling of nonlinear regularized long wave model	34
Based on robust sliding mode and linear active disturbance rejection control for attitude of quadrotor load UAV	34
Effect of temperature on synchronization of scale-free neuronal network	34
Nonparametric bifurcation mechanism in 2-D hyperchaotic discrete memristor-based map	34
Bilinear Bäcklund, Lax pairs, breather waves, lump waves and soliton interaction of (2+1)-dimensional non-autonomous Kadomtsev–Petviashvili equation	34
Vaccination control of an epidemic model with time delay and its application to COVID-19	34
Smooth nonlinear fitting scheme for analog multiplierless implementation of Hindmarsh–Rose neuron model	33
Analysis and active control of nonlinear vibration of composite lattice sandwich plates	33
Non-singular multi-complexiton wave to a generalized KdV equation	33
Study on dynamical behavior of multiple lump solutions and interaction between solitons and lump wave	33
Novel fractional-order convolutional neural network based chatter diagnosis approach in turning process with chaos error mapping	33
On the soliton solutions for an intrinsic fractional discrete nonlinear electrical transmission line	33
Rate-dependent asymmetric hysteresis modeling and robust adaptive trajectory tracking for piezoelectric micropositioning stages	33
Initial-offset-boosted coexisting hyperchaos in a 2D memristive Chialvo neuron map and its application in image encryption	33
Event-triggered fixed-time adaptive fuzzy control for state-constrained stochastic nonlinear systems without feasibility conditions	33
Robust control of reaction wheel bicycle robot via adaptive integral terminal sliding mode	32
Nonlinear analysis of L-shaped pipe conveying fluid with the aid of absolute nodal coordinate formulation	32
Optical soliton resonances and soliton molecules for the Lakshmanan–Porsezian–Daniel system in nonlinear optics	32
Light-powered self-excited motion of a liquid crystal elastomer rotator	32
Two new Painlevé integrable KdV–Calogero–Bogoyavlenskii–Schiff (KdV-CBS) equation and new negative-order KdV-CBS equation	32
Image adaptive encryption algorithm using a novel 2D chaotic system	32
ANS-net: anti-noise Siamese network for bearing fault diagnosis with a few data	31
Generating novel multi-scroll chaotic attractors via fractal transformation	31
Frequency–energy plot and targeted energy transfer analysis of coupled bistable nonlinear energy sink with linear oscillator	31
A generalized van der Pol nonlinear model of vortex-induced vibrations of bridge decks with multistability	31
Uniform non-degeneracy discrete chaotic system and its application in image encryption	31
A magnetic control method for large-deformation vibration of cantilevered pipe conveying fluid	31
Data-driven solitons and parameter discovery to the (2+1)-dimensional NLSE in optical fiber communications	31
Nonlinear responses and bifurcations of a rotor-bearing system supported by squeeze-film damper with retainer spring subjected to base excitations	31
A new image encryption algorithm based on Latin square matrix	31
Memristive hyperchaos secure communication based on sliding mode control	31
The application of improved physics-informed neural network (IPINN) method in finance	31
Nonlinear analysis of forced mechanical systemswith internal resonance using spectral submanifolds, Part I: Periodic response and forced response curve	31
Robust observer-based anti-swing control of 2D-crane systems with load hoisting-lowering	31
NSGA-II as feature selection technique and AdaBoost classifier for COVID-19 prediction using patient’s symptoms	31
Optical solitons and bifurcation analysis in fiber Bragg gratings with Lie symmetry and Kudryashov’s approach	31
A parametric and feasibility study for data sampling of the dynamic mode decomposition: range, resolution, and universal convergence states	30
Families of gap solitons and their complexes in media with saturable nonlinearity and fractional diffraction	30
Simple positivity-preserving nonlinear finite volume scheme for subdiffusion equations on general non-conforming distorted meshes	30
Dynamics of dark and anti-dark solitons for the x-nonlocal Davey–Stewartson II equation	30
An amplitude-controllable 3-D hyperchaotic map with homogenous multistability	30
Dynamic characteristics of ball bearing-coupling-rotor system with angular misalignment fault	30
Hamiltonian energy computation and complex behavior of a small heterogeneous network of three neurons: circuit implementation	30
Image Encryption Using Value-Differencing Transformation and Modified ZigZag Transformation	30
Nonlinear vibrations of an axially moving plate in aero-thermal environment	30
A uniform chaotic system with extended parameter range for image encryption	30
Practical prescribed time control based on high-order fully actuated system approach for strong interconnected nonlinear systems	30
Stable and oscillating solitons of $$\pmb {\mathcal {PT}}$$-symmetric couplers with gain and loss in fractional dimension	30
Bilinear form and Pfaffian solutions for a (2+1)-dimensional generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt system in fluid mechanics and plasma physics	30
Dynamic and wear characteristics of self-lubricating bearing cage: effects of cage pocket shape	29
Modified SEIAR infectious disease model for Omicron variants spread dynamics	29
Bifurcation analysis of vortex-induced vibration of low-dimensional models of marine risers	29
Steady-state coupling vibration analysis of shaft–disk–blade system with blade crack	29
Various patterns of coexisting attractors in a hyperchaotic map	29
An image encryption scheme based on an optimal chaotic map derived by multi-objective optimization using ABC algorithm	29
Construction of higher-order smooth positons and breather positons via Hirota’s bilinear method	29
Dynamics of COVID-19 transmission with comorbidity: a data driven modelling based approach	29
Fractional-order $$PI^{\lambda }D$$ sliding mode control for hypersonic vehicles with neural network disturbance compensator	29
The stability analysis of a two-spool rotor system undergoing rub-impact	29
The fractional-order discrete COVID-19 pandemic model: stability and chaos	29
Boiti–Leon–Manna–Pempinelli equation including time-dependent coefficient (vcBLMPE): a variety of nonautonomous geometrical structures of wave solutions	29
Nonlinear vibration isolation via a compliant mechanism and wire ropes	29
Stability analysis and solutions of (2 + 1)-Kadomtsev–Petviashvili equation by homoclinic technique based on Hirota bilinear form	29
Efficiency comparison of various friction models of a hydraulic cylinder in the framework of multibody system dynamics	29
Stationary distribution and density function expression for a stochastic SIQRS epidemic model with temporary immunity	28
Solitons in magnetized plasma with electron inertia under weakly relativistic effect	28
Nonlinear dynamics of three-directional functional graded pipes conveying fluid with the integration of piezoelectric attachment and nonlinear energy sink	28
Nonlinear vibration and primary resonance analysis of non-orthogonal face gear-rotor-bearing system	28
Optimal trajectory planning strategy for underactuated overhead crane with pendulum-sloshing dynamics and full-state constraints	28
N-fold generalized Darboux transformation and asymptotic analysis of the degenerate solitons for the Sasa-Satsuma equation in fluid dynamics and nonlinear optics	28
Mechanisms of recurrent outbreak of COVID-19: a model-based study	28
Dynamical analysis of coronavirus disease with crowding effect, and vaccination: a study of third strain	28
Study on electromechanical coupling torsional resonance characteristics of gear system driven by PMSM: a case on shearer semi-direct drive cutting transmission system	28
Dynamics of an electromagnetic vibro-impact nonlinear energy sink, applications in energy harvesting and vibration absorption	28
Analytical study of three-soliton interactions with different phases in nonlinear optics	28
Collective correlations, dynamics, and behavioural inconsistencies of the cryptocurrency market over time	28