Chaos Solitons & Fractals

Article	Citations
Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan	372
Short-term forecasting COVID-19 cumulative confirmed cases: Perspectives for Brazil	288
Deep learning methods for forecasting COVID-19 time-Series data: A Comparative study	250
Digital currency forecasting with chaotic meta-heuristic bio-inspired signal processing techniques	249
Recognition of COVID-19 disease from X-ray images by hybrid model consisting of 2D curvelet transform, chaotic salp swarm algorithm and deep learning technique	242
Modeling attractors of chaotic dynamical systems with fractal–fractional operators	213
Convolutional capsnet: A novel artificial neural network approach to detect COVID-19 disease from X-ray images using capsule networks	191
Cryptocurrency forecasting with deep learning chaotic neural networks	166
A new study of unreported cases of 2019-nCOV epidemic outbreaks	162
From criticality to final collapse: Evolution of the “b-value” from 1.5 to 1.0	149
Modeling chickenpox disease with fractional derivatives: From caputo to atangana-baleanu	140
New results on existence in the framework of Atangana–Baleanu derivative for fractional integro-differential equations	139
CVDNet: A novel deep learning architecture for detection of coronavirus (Covid-19) from chest x-ray images	129
Deriving the respiratory sinus arrhythmia from the heartbeat time series using empirical mode decomposition	129
Mathematical analysis and numerical simulation for a smoking model with Atangana–Baleanu derivative	128
Assessment of lockdown effect in some states and overall India: A predictive mathematical study on COVID-19 outbreak	121
A four-wing chaotic attractor generated from a new 3-D quadratic autonomous system	118
Existence and Hyers-Ulam stability for a nonlinear singular fractional differential equations with Mittag-Leffler kernel	115
A financial hyperchaotic system with coexisting attractors: Dynamic investigation, entropy analysis, control and synchronization	111
Global stability and cost-effectiveness analysis of COVID-19 considering the impact of the environment: using data from Ghana	108
Analysis of SIR epidemic model with information spreading of awareness	106
Stability analysis and numerical solutions of fractional order HIV/AIDS model	102
New numerical simulations for some real world problems with Atangana–Baleanu fractional derivative	99
Parameter estimation only from the symbolic sequences generated by chaos system	98
A novel memristive 6D hyperchaotic autonomous system with hidden extreme multistability	96

Fractional logistic models in the frame of fractional operators generated by conformable derivatives	94
A true random bit generator based on a memristive chaotic circuit: Analysis, design and FPGA implementation	92
From simple to complex oscillatory behaviour via intermittent chaos in the Rose-Hindmarsh model for neuronal activity	91
Modulation of reproducing kernel Hilbert space method for numerical solutions of Riccati and Bernoulli equations in the Atangana-Baleanu fractional sense	91
The effect of market confidence on a financial system from the perspective of fractional calculus: Numerical investigation and circuit realization	91
Fitted fractional reproducing kernel algorithm for the numerical solutions of ABC – Fractional Volterra integro-differential equations	91
System of fractional differential algebraic equations with applications	87
A fractional-order epidemic model with time-delay and nonlinear incidence rate	86
Mathematical analysis and computational experiments for an epidemic system with nonlocal and nonsingular derivative	82
From experimental quantum optics to quantum gravity via a fuzzy Kähler manifold	79
Memristor initial boosting behaviors in a two-memristor-based hyperchaotic system	75
From simple to simple bursting oscillatory behaviour via chaos in the Rose-Hindmarsh model for neuronal activity	75
Forecasting of COVID-19 pandemic: From integer derivatives to fractional derivatives	75
Chaotic chameleon: Dynamic analyses, circuit implementation, FPGA design and fractional-order form with basic analyses	74
On fractional–order discrete–time systems: Chaos, stabilization and synchronization	74
A single three-wing or four-wing chaotic attractor generated from a three-dimensional smooth quadratic autonomous system	73
Logistic map with memory from economic model	73
Dynamical study of fractional order mutualism parasitism food web module	69
Conservation laws, binary Darboux transformations and solitons for a higher-order nonlinear Schrödinger system	68
Transmission dynamics of fractional order Typhoid fever model using Caputo–Fabrizio operator	65
Emergence of statistical scaling in floods on channel networks from complex runoff dynamics	64
Impact of prey herd shape on the predator-prey interaction	63
Multi-scroll and hypercube attractors from a general jerk circuit using Josephson junctions	62
A singular ABC-fractional differential equation with p-Laplacian operator	62
Fractional difference operators with discrete generalized Mittag–Leffler kernels	60
A simple Jerk-like system without equilibrium: Asymmetric coexisting hidden attractors, bursting oscillation and double full Feigenbaum remerging trees	60
Quantum gravity from descriptive set theory	59
Random property enhancement of a 1D chaotic PRNG with finite precision implementation	59
Image encryption using finite-precision error	56
Effect of information spreading to suppress the disease contagion on the epidemic vaccination game	56
A comprehensive report on convective flow of fractional (ABC) and (CF) MHD viscous fluid subject to generalized boundary conditions	55
Mathematical modeling for the impacts of deforestation on wildlife species using Caputo differential operator	55
Differential box counting methods for estimating fractal dimension of gray-scale images: A survey	55
Variable separation solutions obtained from Darboux Transformations for the asymmetric Nizhnik–Novikov–Veselov system	55
On the dynamics, control and synchronization of fractional-order Ikeda map	55
Crank–Nicholson difference method and reproducing kernel function for third order fractional differential equations in the sense of Atangana–Baleanu Caputo derivative	54
A cardinal approach for nonlinear variable-order time fractional Schrödinger equation defined by Atangana–Baleanu–Caputo derivative	53
Breathers and rogue waves on the periodic background for the Gerdjikov-Ivanov equation for the Alfvén waves in an astrophysical plasma	53
Investigation on evolutionary optimization of chaos control	52
Validity of fractal derivative to capturing chaotic attractors	51
Analysis of the mitigation strategies for COVID-19: From mathematical modelling perspective	51
Fixed-time synchronization control of memristive MAM neural networks with mixed delays and application in chaotic secure communication	50
Using handpicked features in conjunction with ResNet-50 for improved detection of COVID-19 from chest X-ray images	49
Differential and integral operators with constant fractional order and variable fractional dimension	49
Identifying influential nodes in complex networks from global perspective	49
Multi-wing hyperchaotic attractors from coupled Lorenz systems	49
Fractional model of COVID-19 applied to Galicia, Spain and Portugal	48
Modeling the transmission of dengue infection through fractional derivatives	48
Multi-stage classification of congestive heart failure based on short-term heart rate variability	46
Small limit cycles bifurcating from fine focus points in cubic order Z2-equivariant vector fields	45

Two-memristor-based chaotic system and its extreme multistability reconstitution via dimensionality reduction analysis	45
Controllability of semilinear impulsive Atangana-Baleanu fractional differential equations with delay	45
Chebyshev cardinal wavelets for nonlinear stochastic differential equations driven with variable-order fractional Brownian motion	42
On predefined-time synchronisation of chaotic systems	42
Computational study of multi-species fractional reaction-diffusion system with ABC operator	42
A multi-scroll chaotic system for a higher coverage path planning of a mobile robot using flatness controller	42
Effects of symmetric and asymmetric nonlinearity on the dynamics of a novel chaotic jerk circuit: Coexisting multiple attractors, period doubling reversals, crisis, and offset boosting	41
Trinition the complex number with two imaginary parts: Fractal, chaos and fractional calculus	41
Novel technique of Atangana and Baleanu for heat dissipation in transmission line of electrical circuit	41
Global dynamics of the multi-lingual SIR rumor spreading model with cross-transmitted mechanism	41
Evolutionary vaccination game approach in metapopulation migration model with information spreading on different graphs	41
Fractional X-shape controllable multi-scroll attractor with parameter effect and FPGA automatic design tool software	40
Modeling, analysis and prediction of new variants of covid-19 and dengue co-infection on complex network	40
A fractional model for the dynamics of competition between commercial and rural banks in Indonesia	40
Fractional order modelling of omicron SARS-CoV-2 variant containing heart attack effect using real data from the United Kingdom	40
Asian-barrier option pricing formulas of uncertain financial market	39
Cryptographic pseudo-random sequence from the spatial chaotic map	39
Numerical approximations of Atangana–Baleanu Caputo derivative and its application	39
Dynamical behaviors for vaccination can suppress infectious disease – A game theoretical approach	38
On the dynamics of fractional maps with power-law, exponential decay and Mittag–Leffler memory	37
Nonlinear time series analysis of vibration data from a friction brake: SSA, PCA, and MFDFA	37
Meshfree moving least squares method for nonlinear variable-order time fractional 2D telegraph equation involving Mittag–Leffler non-singular kernel	37
Hopf-Hopf bifurcation and chaotic attractors in a delayed diffusive predator-prey model with fear effect	37
A fractional mathematical model of breast cancer competition model	37
TLCoV- An automated Covid-19 screening model using Transfer Learning from chest X-ray images	36
Identifying influential nodes based on fuzzy local dimension in complex networks	36
Nonlinear dynamics of a novel fractional-order Francis hydro-turbine governing system with time delay	35
Fundamental results on weighted Caputo–Fabrizio fractional derivative	35
Stability and bifurcation analysis of an epidemic model with the effect of media	35
Behavioural study of symbiosis dynamics via the Caputo and Atangana–Baleanu fractional derivatives	35
A new approach on the approximate controllability of fractional differential evolution equations of order 1 < r < 2 in Hilbert spaces	34
A new hyper-chaos generated from generalized Lorenz system via nonlinear feedback	34
A point defect model for the general and pitting corrosion on iron∣oxide∣electrolyte interface deduced from current oscillations	34
High energy physics and the standard model from the exceptional Lie groups	34
Heat transfer analysis in sodium alginate based nanofluid using MoS2 nanoparticles: Atangana–Baleanu fractional model	34
A game theoretic approach to discuss the positive secondary effect of vaccination scheme in an infinite and well-mixed population	34
Research on trend prediction of internet user intention understanding and public intelligence mining based on fractional differential method	33
Legendre wavelets for the numerical solution of nonlinear variable-order time fractional 2D reaction-diffusion equation involving Mittag–Leffler non-singular kernel	33
Passive network evolution promotes group welfare in complex networks	33
Chaotic dynamics and chaos control for the fractional-order geomagnetic field model	33
Tumor evasion from immune control: Strategies of a MISS to become a MASS	32
Analysis of the fractional diffusion equations described by Atangana-Baleanu-Caputo fractional derivative	32
Modeling and control of the hepatitis B virus spreading using an epidemic model	32
Analytic approaches of the anomalous diffusion: A review	32
Grey Lotka–Volterra models with application to cryptocurrencies adoption	32
Periodic and chaotic solutions for a nonlinear system arising from a nuclear spin generator	31
Dynamical behaviour of fractional order tumor model with Caputo and conformable fractional derivative	31
Transitions from localization to nonlocalization in strongly nonlinear damped oscillators	31
Modelling, analysis and simulations of some chaotic systems using derivative with Mittag–Leffler kernel	31
Photoplethysmogram at green light: Where does chaos arise from?	31
Simulation of coronavirus disease 2019 (COVID-19) scenarios with possibility of reinfection	31
Modeling and simulation of nonlinear dynamical system in the frame of nonlocal and non-singular derivatives	31
Black–Scholes option pricing equations described by the Caputo generalized fractional derivative	30
MHD flow of a fractional second grade fluid over an inclined heated plate	30
Nonlinear dynamics and chaos in micro/nanoelectromechanical beam resonators actuated by two-sided electrodes	30
Heat transfer analysis of generalized Jeffery nanofluid in a rotating frame: Atangana–Balaenu and Caputo–Fabrizio fractional models	29
Experimental modeling of electromagnetic wave scattering from an ocean surface based on chaotic theory	28
Real-time RGB image encryption for IoT applications using enhanced sequences from chaotic maps	28
Dimensions and Lyapunov exponents from exchange rate series	28
Euclidean and Lorentzian quantum gravity—lessons from two dimensions	28
Bursting oscillations and bifurcation mechanism in memristor-based Shimizu–Morioka system with two time scales	28
Lessons from being challenged by COVID-19	27
Optimal control problem for variable-order fractional differential systems with time delay involving Atangana–Baleanu derivatives	27
Finite-time projective synchronization of fractional-order complex-valued memristor-based neural networks with delay	27
Simulation and experimental implementation of a line–equilibrium system without linear term	27
Fractional model of HIV transmission with awareness effect	26
Antimonotonicity, chaos, quasi-periodicity and coexistence of hidden attractors in a new simple 4-D chaotic system with hyperbolic cosine nonlinearity	26
Determining the number of Higgs particles starting from general relativity and various other field theories	26
Difference synchronization among three chaotic systems with exponential term and its chaos control	26
Complexified quantum field theory and “mass without mass” from multidimensional fractional actionlike variational approach with dynamical fractional exponents	26
Chaotic behavior of predator-prey model with group defense and non-linear harvesting in prey	26
Analysis of a new partial integro-differential equation with mixed fractional operators	26
Effect of noise on estimation of Lyapunov exponents from a time series	25
Existence and multiplicity for some boundary value problems involving Caputo and Atangana–Baleanu fractional derivatives: A variational approach	25
Study of a Leslie–Gower predator-prey model with prey defense and mutual interference of predators	25
Degenerating the butterfly attractor in a plasma perturbation model using nonlinear controllers	25
Dynamics analysis on competition between manufacturing and remanufacturing in context of government subsidies	25
Generation of fractals from complex logistic map	24
Dynamical effects of memristive load on peak current mode buck-boost switching converter	24
Dynamics of a time-delayed SIR epidemic model with logistic growth and saturated treatment	24

From Lagrangian mechanics fractal in space to space fractal Schrödinger’s equation via fractional Taylor’s series	24
Generating hierarchial scale-free graphs from fractals	24
Uniform asymptotic stability of a Logistic model with feedback control of fractional order and nonstandard finite difference schemes	24
Interacting model of rumor propagation and behavior spreading in multiplex networks	24
Forecasting emergency department overcrowding: A deep learning framework	24
From bi-stability to chaotic oscillations in a macroeconomic model	24
Stochastic resonance in a high-order time-delayed feedback tristable dynamic system and its application	24
A comparison study of bank data in fractional calculus	24
Analysis and numerical simulation of fractional order Cahn–Allen model with Atangana–Baleanu derivative	24
Correlation analysis of chaotic trajectories from Chua’s system	24
Detecting chaos in a citrus orchard: Reconstruction of nonlinear dynamics from very short ecological time series	23
Approximation methods for solving fractional equations	23
Routes to chaos in continuous mechanical systems: Part 2. Modelling transitions from regular to chaotic dynamics	23
A hybrid stochastic fractional order Coronavirus (2019-nCov) mathematical model	23
True random number generation from mobile telephone photo based on chaotic cryptography	23
Optical solitons and conservation laws with polarization–mode dispersion for coupled Fokas–Lenells equation using group invariance	23
A modified passive walking biped model with two feasible switching patterns of motion to resemble multi-pattern human walking	22
Generation of hyperchaos from the Chen–Lee system via sinusoidal perturbation	22
The three versions of distributional chaos	22
Limit cycles bifurcating from a perturbed quartic center	22
Generating multicluster conservative chaotic flows from a generalized Sprott-A system	22
Modeling cryptocurrencies transaction counts using variable-order Fractional Grey Lotka-Volterra dynamical system	22
Analysis of a novel coronavirus (2019-nCOV) system with variable Caputo-Fabrizio fractional order	22
A numerical method for solving fractional-order viscoelastic Euler–Bernoulli beams	22
Fractional Brownian motion: Difference iterative forecasting models	22
Memristor variability and stochastic physical properties modeling from a multivariate time series approach	22
Nonlinear dynamics of a duopoly Stackelberg game with marginal costs	22
W-shaped and bright optical solitons in negative indexed ma	22
A mathematical model of the evolution and spread of pathogenic coronaviruses from natural host to human host	21
Nonlinear F-contractions on b-metric spaces and differential equations in the frame of fractional derivatives with Mittag–Leffler kernel	21
Qualitative analysis of stochastically perturbed SIRS epidemic model with two viruses	21
From geometric invariants and symbolic matrixes towards new perspectives on forecasting of PWM converter dynamics	21
Investor behavior, information disclosure strategy and counterparty credit risk contagion	21
On the transition from the classical to the quantum regime in fractal space–time theory	21
An investigation on Michaelis - Menten kinetics based complex dynamics of tumor - immune interaction	21
Determining the temperature of the microwave background radiation from the topology and geometry of spacetime	20
Hints of a new relativity principle from p-brane quantum mechanics	20
Analysis of bifurcation, chaos and pattern formation in a discrete time and space Gierer Meinhardt system	20
The resumption of sports competitions after COVID-19 lockdown: The case of the Spanish football league	20
Deriving the essential features of the standard model from the general theory of relativity	20
Correlation dimension estimation from electrocardiograms	20
On synchronization in heterogeneous FitzHugh–Nagumo networks	20
Interaction properties between rogue wave and breathers to the manakov system arising from stationary self-focusing electromagnetic systems	20
Nonlinear dynamics of an origami wheel with shape memory alloy actuators	20
Minimal digital chaotic system	20
Stability and chaos in the fractional Chen system	20