Nonlinear Dynamics

Papers
(The H4-Index of Nonlinear Dynamics is 64. 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 2020-11-01 to 2024-11-01.)
ArticleCitations
Interaction solutions to nonlinear partial differential equations via Hirota bilinear forms: one-lump-multi-stripe and one-lump-multi-soliton types234
Bäcklund transformation, exact solutions and diverse interaction phenomena to a (3+1)-dimensional nonlinear evolution equation178
Color image encryption using orthogonal Latin squares and a new 2D chaotic system176
A fast and efficient multiple images encryption based on single-channel encryption and chaotic system174
Data-driven femtosecond optical soliton excitations and parameters discovery of the high-order NLSE using the PINN169
Review on chaotic dynamics of memristive neuron and neural network163
New extended Kadomtsev–Petviashvili equation: multiple soliton solutions, breather, lump and interaction solutions162
Initial offset boosting coexisting attractors in memristive multi-double-scroll Hopfield neural network158
Bilinear residual network method for solving the exactly explicit solutions of nonlinear evolution equations151
Rogue wave solutions and the bright and dark solitons of the (3+1)-dimensional Jimbo–Miwa equation149
Nonlinear forced vibration of functionally graded graphene platelet-reinforced metal foam cylindrical shells: internal resonances143
Nonlinear forced vibrations of FGM sandwich cylindrical shells with porosities on an elastic substrate127
Input-to-state stability of impulsive reaction–diffusion neural networks with infinite distributed delays124
Stability and optimal control strategies for a novel epidemic model of COVID-19122
A nonlinear vibration isolator supported on a flexible plate: analysis and experiment118
Dynamical analysis of a new chaotic system: asymmetric multistability, offset boosting control and circuit realization114
Color image encryption based on cross 2D hyperchaotic map using combined cycle shift scrambling and selecting diffusion112
An image encryption scheme based on multi-objective optimization and block compressed sensing112
Design and application of an S-box using complete Latin square111
Coexisting firing patterns and phase synchronization in locally active memristor coupled neurons with HR and FN models110
Painlevé analysis, auto-Bäcklund transformation and analytic solutions of a (2$$+$$1)-dimensional generalized Burgers system with the variable coefficients in a fluid108
Chaos cloud quantum bat hybrid optimization algorithm105
Prediction and dynamical evolution of multipole soliton families in fractional Schrödinger equation with the PT-symmetric potential and saturable nonlinearity105
Model order reduction methods for geometrically nonlinear structures: a review of nonlinear techniques101
Parameter estimation of the incubation period of COVID-19 based on the doubly interval-censored data model100
Bright soliton solutions of the (2+1)-dimensional generalized coupled nonlinear Schrödinger equation with the four-wave mixing term98
Soliton interaction control through dispersion and nonlinear effects for the fifth-order nonlinear Schrödinger equation96
Painlevé integrability and lump solutions for two extended (3 + 1)- and (2 + 1)-dimensional Kadomtsev–Petviashvili equations95
Hyperchaotic memristive ring neural network and application in medical image encryption95
A locally active discrete memristor model and its application in a hyperchaotic map92
A tristable locally active memristor and its application in Hopfield neural network92
Nondegenerate solitons of 2-coupled mixed derivative nonlinear Schrödinger equations92
An improved dynamic model of spur gear transmission considering coupling effect between gear neighboring teeth88
Lump, soliton, and interaction solutions to a generalized two-mode higher-order nonlinear evolution equation in plasma physics85
Nonlinear targeted energy transfer: state of the art and new perspectives85
The interference wave and the bright and dark soliton for two integro-differential equation by using BNNM84
N-fold Darboux transformation and solitonic interactions for the Kraenkel–Manna–Merle system in a saturated ferromagnetic material83
Image encryption algorithm with circle index table scrambling and partition diffusion79
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 coefficients78
The variable separation solution, fractal and chaos in an extended coupled (2+1)-dimensional Burgers system78
A fractional-order multistable locally active memristor and its chaotic system with transient transition, state jump77
Wronskian, Gramian, Pfaffian and periodic-wave solutions for a (3+1)-dimensional generalized nonlinear evolution equation arising in the shallow water waves76
Memristive electromagnetic induction effects on Hopfield neural network75
New $$(3+1)$$-dimensional Painlevé integrable fifth-order equation with third-order temporal dispersion74
Synchronization and chimeras in a network of photosensitive FitzHugh–Nagumo neurons74
A review of the mechanical inerter: historical context, physical realisations and nonlinear applications73
Auto-Bäcklund transformations and soliton solutions on the nonzero background for a (3+1)-dimensional Korteweg-de Vries-Calogero-Bogoyavlenskii-Schif equation in a fluid73
A second-order stochastic resonance method enhanced by fractional-order derivative for mechanical fault detection72
Nonlinear control of logic structure of all-optical logic devices using soliton interactions72
Analysis of lumps, single-stripe, breather-wave, and two-wave solutions to the generalized perturbed-KdV equation by means of Hirota’s bilinear method72
Nonlinear phenomena of contact in multibody systems dynamics: a review71
A new (3 + 1)-dimensional Schrödinger equation: derivation, soliton solutions and conservation laws71
Fixed-time disturbance observer-based robust fault-tolerant tracking control for uncertain quadrotor UAV subject to input delay70
Generation and transformation of dark solitons, anti-dark solitons and dark double-hump solitons70
Finite-time adaptive neural resilient DSC for fractional-order nonlinear large-scale systems against sensor-actuator faults69
An improved quasi-zero stiffness isolator with two pairs of oblique springs to increase isolation frequency band68
Trends, directions for further research, and some open problems of fractional calculus68
Solving localized wave solutions of the derivative nonlinear Schrödinger equation using an improved PINN method68
Study of the generalization of regularized long-wave equation67
Dark wave, rogue wave and perturbation solutions of Ivancevic option pricing model67
Quantum logistic image encryption algorithm based on SHA-3 and RSA64
Nondegenerate soliton dynamics of nonlocal nonlinear Schrödinger equation64
Biophysical mechanism of signal encoding in an auditory neuron64
Remote sensing image compression and encryption based on block compressive sensing and 2D-LCCCM64
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