Nonlinear Dynamics

Papers
(The H4-Index of Nonlinear Dynamics is 63. 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 2020-05-01 to 2024-05-01.)
ArticleCitations
SEIR modeling of the COVID-19 and its dynamics444
Designs, analysis, and applications of nonlinear energy sinks247
Interaction solutions to nonlinear partial differential equations via Hirota bilinear forms: one-lump-multi-stripe and one-lump-multi-soliton types221
Bäcklund transformation, exact solutions and diverse interaction phenomena to a (3+1)-dimensional nonlinear evolution equation158
Data-driven femtosecond optical soliton excitations and parameters discovery of the high-order NLSE using the PINN155
Firing multistability in a locally active memristive neuron model151
New extended Kadomtsev–Petviashvili equation: multiple soliton solutions, breather, lump and interaction solutions149
A fast and efficient multiple images encryption based on single-channel encryption and chaotic system140
Color image encryption using orthogonal Latin squares and a new 2D chaotic system140
Review on chaotic dynamics of memristive neuron and neural network137
Rogue wave solutions and the bright and dark solitons of the (3+1)-dimensional Jimbo–Miwa equation136
Initial offset boosting coexisting attractors in memristive multi-double-scroll Hopfield neural network133
Bilinear residual network method for solving the exactly explicit solutions of nonlinear evolution equations132
Nonlinear forced vibration of functionally graded graphene platelet-reinforced metal foam cylindrical shells: internal resonances132
Coupled spatial periodic waves and solitons in the photovoltaic photorefractive crystals123
Generalized logistic growth modeling of the COVID-19 outbreak: comparing the dynamics in the 29 provinces in China and in the rest of the world119
A fractional-order model for the novel coronavirus (COVID-19) outbreak119
Transmission dynamics of COVID-19 in Wuhan, China: effects of lockdown and medical resources116
Stability and optimal control strategies for a novel epidemic model of COVID-19115
Input-to-state stability of impulsive reaction–diffusion neural networks with infinite distributed delays114
Nonlinear forced vibrations of FGM sandwich cylindrical shells with porosities on an elastic substrate114
Dynamical analysis of a new chaotic system: asymmetric multistability, offset boosting control and circuit realization105
Managements of scalar and vector rogue waves in a partially nonlocal nonlinear medium with linear and harmonic potentials103
Painlevé analysis, auto-Bäcklund transformation and analytic solutions of a (2$$+$$1)-dimensional generalized Burgers system with the variable coefficients in a fluid102
A nonlinear vibration isolator supported on a flexible plate: analysis and experiment101
Coexisting firing patterns and phase synchronization in locally active memristor coupled neurons with HR and FN models99
Design and application of an S-box using complete Latin square98
Chaos cloud quantum bat hybrid optimization algorithm98
Parameter estimation of the incubation period of COVID-19 based on the doubly interval-censored data model97
Bright soliton solutions of the (2+1)-dimensional generalized coupled nonlinear Schrödinger equation with the four-wave mixing term94
Soliton interaction control through dispersion and nonlinear effects for the fifth-order nonlinear Schrödinger equation91
An image encryption scheme based on multi-objective optimization and block compressed sensing88
Global dynamics of a multi-strain SEIR epidemic model with general incidence rates: application to COVID-19 pandemic87
Prediction and dynamical evolution of multipole soliton families in fractional Schrödinger equation with the PT-symmetric potential and saturable nonlinearity87
A nonlinear ultra-low-frequency vibration isolator with dual quasi-zero-stiffness mechanism86
Short memory fractional differential equations for new memristor and neural network design85
Model order reduction methods for geometrically nonlinear structures: a review of nonlinear techniques83
Robust identification for fault detection in the presence of non-Gaussian noises: application to hydraulic servo drives81
Hyperchaotic memristive ring neural network and application in medical image encryption81
Color image encryption based on cross 2D hyperchaotic map using combined cycle shift scrambling and selecting diffusion79
An improved dynamic model of spur gear transmission considering coupling effect between gear neighboring teeth79
Analysis and design of a novel and compact X-structured vibration isolation mount (X-Mount) with wider quasi-zero-stiffness range79
Nondegenerate solitons of 2-coupled mixed derivative nonlinear Schrödinger equations78
The variable separation solution, fractal and chaos in an extended coupled (2+1)-dimensional Burgers system77
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 coefficients76
Image encryption algorithm with circle index table scrambling and partition diffusion75
Wronskian, Gramian, Pfaffian and periodic-wave solutions for a (3+1)-dimensional generalized nonlinear evolution equation arising in the shallow water waves75
A robust image encryption scheme using chaotic tent map and cellular automata75
A locally active discrete memristor model and its application in a hyperchaotic map74
Painlevé integrability and lump solutions for two extended (3 + 1)- and (2 + 1)-dimensional Kadomtsev–Petviashvili equations73
A tristable locally active memristor and its application in Hopfield neural network73
Human mobility and COVID-19 initial dynamics73
A fractional-order multistable locally active memristor and its chaotic system with transient transition, state jump73
Soliton and breather molecules in few-cycle-pulse optical model72
Nonlinear control of logic structure of all-optical logic devices using soliton interactions70
Comprehensive theoretical and experimental investigation of the rotational impact energy harvester with the centrifugal softening effect70
The interference wave and the bright and dark soliton for two integro-differential equation by using BNNM69
New $$(3+1)$$-dimensional Painlevé integrable fifth-order equation with third-order temporal dispersion69
Lump, soliton, and interaction solutions to a generalized two-mode higher-order nonlinear evolution equation in plasma physics68
A feasible neuron for estimating the magnetic field effect68
Interaction dynamics of hybrid solitons and breathers for extended generalization of Vakhnenko equation67
Memristive electromagnetic induction effects on Hopfield neural network64
A second-order stochastic resonance method enhanced by fractional-order derivative for mechanical fault detection63
A new (3 + 1)-dimensional Schrödinger equation: derivation, soliton solutions and conservation laws63
Nonlinear targeted energy transfer: state of the art and new perspectives63
0.049871921539307