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 2020-03-01 to 2024-03-01.)
ArticleCitations
SEIR modeling of the COVID-19 and its dynamics428
Designs, analysis, and applications of nonlinear energy sinks225
Interaction solutions to nonlinear partial differential equations via Hirota bilinear forms: one-lump-multi-stripe and one-lump-multi-soliton types211
Data-driven femtosecond optical soliton excitations and parameters discovery of the high-order NLSE using the PINN146
Firing multistability in a locally active memristive neuron model142
Bäcklund transformation, exact solutions and diverse interaction phenomena to a (3+1)-dimensional nonlinear evolution equation142
New extended Kadomtsev–Petviashvili equation: multiple soliton solutions, breather, lump and interaction solutions140
Color image encryption using orthogonal Latin squares and a new 2D chaotic system130
Rogue wave solutions and the bright and dark solitons of the (3+1)-dimensional Jimbo–Miwa equation129
Nonlinear forced vibration of functionally graded graphene platelet-reinforced metal foam cylindrical shells: internal resonances125
Review on chaotic dynamics of memristive neuron and neural network124
A fast and efficient multiple images encryption based on single-channel encryption and chaotic system123
Initial offset boosting coexisting attractors in memristive multi-double-scroll Hopfield neural network122
Coupled spatial periodic waves and solitons in the photovoltaic photorefractive crystals119
Bilinear residual network method for solving the exactly explicit solutions of nonlinear evolution equations118
Generalized logistic growth modeling of the COVID-19 outbreak: comparing the dynamics in the 29 provinces in China and in the rest of the world118
A fractional-order model for the novel coronavirus (COVID-19) outbreak116
Transmission dynamics of COVID-19 in Wuhan, China: effects of lockdown and medical resources113
A novel simple chaotic circuit based on memristor–memcapacitor112
Nonlinear forced vibrations of FGM sandwich cylindrical shells with porosities on an elastic substrate112
Stability and optimal control strategies for a novel epidemic model of COVID-19109
Robust fixed-time attitude stabilization control of flexible spacecraft with actuator uncertainty109
Input-to-state stability of impulsive reaction–diffusion neural networks with infinite distributed delays104
Painlevé analysis, auto-Bäcklund transformation and analytic solutions of a (2$$+$$1)-dimensional generalized Burgers system with the variable coefficients in a fluid100
Managements of scalar and vector rogue waves in a partially nonlocal nonlinear medium with linear and harmonic potentials100
Dynamical analysis of a new chaotic system: asymmetric multistability, offset boosting control and circuit realization98
Chaos cloud quantum bat hybrid optimization algorithm97
A nonlinear vibration isolator supported on a flexible plate: analysis and experiment95
Parameter estimation of the incubation period of COVID-19 based on the doubly interval-censored data model92
Bright soliton solutions of the (2+1)-dimensional generalized coupled nonlinear Schrödinger equation with the four-wave mixing term90
Soliton interaction control through dispersion and nonlinear effects for the fifth-order nonlinear Schrödinger equation87
Design and application of an S-box using complete Latin square85
Coexisting firing patterns and phase synchronization in locally active memristor coupled neurons with HR and FN models85
Bilinear form, soliton, breather, lump and hybrid solutions for a ($$\varvec{2+1}$$)-dimensional Sawada–Kotera equation83
Global dynamics of a multi-strain SEIR epidemic model with general incidence rates: application to COVID-19 pandemic82
A nonlinear ultra-low-frequency vibration isolator with dual quasi-zero-stiffness mechanism82
Short memory fractional differential equations for new memristor and neural network design81
Robust identification for fault detection in the presence of non-Gaussian noises: application to hydraulic servo drives81
Prediction and dynamical evolution of multipole soliton families in fractional Schrödinger equation with the PT-symmetric potential and saturable nonlinearity80
An image encryption scheme based on multi-objective optimization and block compressed sensing79
Controlling effect of vector and scalar crossed double-Ma breathers in a partially nonlocal nonlinear medium with a linear potential78
Model order reduction methods for geometrically nonlinear structures: a review of nonlinear techniques75
An improved dynamic model of spur gear transmission considering coupling effect between gear neighboring teeth74
Nondegenerate solitons of 2-coupled mixed derivative nonlinear Schrödinger equations74
The variable separation solution, fractal and chaos in an extended coupled (2+1)-dimensional Burgers system73
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 coefficients73
Analysis and design of a novel and compact X-structured vibration isolation mount (X-Mount) with wider quasi-zero-stiffness range73
Wronskian, Gramian, Pfaffian and periodic-wave solutions for a (3+1)-dimensional generalized nonlinear evolution equation arising in the shallow water waves73
A robust image encryption scheme using chaotic tent map and cellular automata72
Image encryption algorithm with circle index table scrambling and partition diffusion71
Human mobility and COVID-19 initial dynamics70
Nonlinear control of logic structure of all-optical logic devices using soliton interactions69
Soliton and breather molecules in few-cycle-pulse optical model69
A fractional-order multistable locally active memristor and its chaotic system with transient transition, state jump69
Hyperchaotic memristive ring neural network and application in medical image encryption68
Comprehensive theoretical and experimental investigation of the rotational impact energy harvester with the centrifugal softening effect67
A tristable locally active memristor and its application in Hopfield neural network66
Color image encryption based on cross 2D hyperchaotic map using combined cycle shift scrambling and selecting diffusion66
Interaction dynamics of hybrid solitons and breathers for extended generalization of Vakhnenko equation65
Periodic soliton interactions for higher-order nonlinear Schrödinger equation in optical fibers65
New $$(3+1)$$-dimensional Painlevé integrable fifth-order equation with third-order temporal dispersion64
A locally active discrete memristor model and its application in a hyperchaotic map64
A feasible neuron for estimating the magnetic field effect63
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