Chaos Solitons & Fractals

(The TQCC of Chaos Solitons & Fractals is 20. The table below lists those papers that are above that threshold based on CrossRef citation counts. The publications cover those that have been published in the past four years, i.e., from 2019-06-01 to 2023-06-01.)
Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan372
Short-term forecasting COVID-19 cumulative confirmed cases: Perspectives for Brazil288
Deep learning methods for forecasting COVID-19 time-Series data: A Comparative study250
Digital currency forecasting with chaotic meta-heuristic bio-inspired signal processing techniques249
Recognition of COVID-19 disease from X-ray images by hybrid model consisting of 2D curvelet transform, chaotic salp swarm algorithm and deep learning technique242
Modeling attractors of chaotic dynamical systems with fractal–fractional operators213
Convolutional capsnet: A novel artificial neural network approach to detect COVID-19 disease from X-ray images using capsule networks191
Cryptocurrency forecasting with deep learning chaotic neural networks166
A new study of unreported cases of 2019-nCOV epidemic outbreaks162
From criticality to final collapse: Evolution of the “b-value” from 1.5 to 1.0149
Modeling chickenpox disease with fractional derivatives: From caputo to atangana-baleanu140
New results on existence in the framework of Atangana–Baleanu derivative for fractional integro-differential equations139
CVDNet: A novel deep learning architecture for detection of coronavirus (Covid-19) from chest x-ray images129
Deriving the respiratory sinus arrhythmia from the heartbeat time series using empirical mode decomposition129
Mathematical analysis and numerical simulation for a smoking model with Atangana–Baleanu derivative128
Assessment of lockdown effect in some states and overall India: A predictive mathematical study on COVID-19 outbreak121
A four-wing chaotic attractor generated from a new 3-D quadratic autonomous system118
Existence and Hyers-Ulam stability for a nonlinear singular fractional differential equations with Mittag-Leffler kernel115
A financial hyperchaotic system with coexisting attractors: Dynamic investigation, entropy analysis, control and synchronization111
Global stability and cost-effectiveness analysis of COVID-19 considering the impact of the environment: using data from Ghana108
Analysis of SIR epidemic model with information spreading of awareness106
Stability analysis and numerical solutions of fractional order HIV/AIDS model102
New numerical simulations for some real world problems with Atangana–Baleanu fractional derivative99
Parameter estimation only from the symbolic sequences generated by chaos system98
A novel memristive 6D hyperchaotic autonomous system with hidden extreme multistability96
Fractional logistic models in the frame of fractional operators generated by conformable derivatives94
A true random bit generator based on a memristive chaotic circuit: Analysis, design and FPGA implementation92
From simple to complex oscillatory behaviour via intermittent chaos in the Rose-Hindmarsh model for neuronal activity91
Modulation of reproducing kernel Hilbert space method for numerical solutions of Riccati and Bernoulli equations in the Atangana-Baleanu fractional sense91
The effect of market confidence on a financial system from the perspective of fractional calculus: Numerical investigation and circuit realization91
Fitted fractional reproducing kernel algorithm for the numerical solutions of ABC – Fractional Volterra integro-differential equations91
System of fractional differential algebraic equations with applications87
A fractional-order epidemic model with time-delay and nonlinear incidence rate86
Mathematical analysis and computational experiments for an epidemic system with nonlocal and nonsingular derivative82
From experimental quantum optics to quantum gravity via a fuzzy Kähler manifold79
Memristor initial boosting behaviors in a two-memristor-based hyperchaotic system75
From simple to simple bursting oscillatory behaviour via chaos in the Rose-Hindmarsh model for neuronal activity75
Forecasting of COVID-19 pandemic: From integer derivatives to fractional derivatives75
Chaotic chameleon: Dynamic analyses, circuit implementation, FPGA design and fractional-order form with basic analyses74
On fractional–order discrete–time systems: Chaos, stabilization and synchronization74
A single three-wing or four-wing chaotic attractor generated from a three-dimensional smooth quadratic autonomous system73
Logistic map with memory from economic model73
Dynamical study of fractional order mutualism parasitism food web module69
Conservation laws, binary Darboux transformations and solitons for a higher-order nonlinear Schrödinger system68
Transmission dynamics of fractional order Typhoid fever model using Caputo–Fabrizio operator65
Emergence of statistical scaling in floods on channel networks from complex runoff dynamics64
Impact of prey herd shape on the predator-prey interaction63
Multi-scroll and hypercube attractors from a general jerk circuit using Josephson junctions62
A singular ABC-fractional differential equation with p-Laplacian operator62
Fractional difference operators with discrete generalized Mittag–Leffler kernels60
A simple Jerk-like system without equilibrium: Asymmetric coexisting hidden attractors, bursting oscillation and double full Feigenbaum remerging trees60
Quantum gravity from descriptive set theory59
Random property enhancement of a 1D chaotic PRNG with finite precision implementation59
Image encryption using finite-precision error56
Effect of information spreading to suppress the disease contagion on the epidemic vaccination game56
A comprehensive report on convective flow of fractional (ABC) and (CF) MHD viscous fluid subject to generalized boundary conditions55
Mathematical modeling for the impacts of deforestation on wildlife species using Caputo differential operator55
Differential box counting methods for estimating fractal dimension of gray-scale images: A survey55
Variable separation solutions obtained from Darboux Transformations for the asymmetric Nizhnik–Novikov–Veselov system55
On the dynamics, control and synchronization of fractional-order Ikeda map55
Crank–Nicholson difference method and reproducing kernel function for third order fractional differential equations in the sense of Atangana–Baleanu Caputo derivative54
A cardinal approach for nonlinear variable-order time fractional Schrödinger equation defined by Atangana–Baleanu–Caputo derivative53
Breathers and rogue waves on the periodic background for the Gerdjikov-Ivanov equation for the Alfvén waves in an astrophysical plasma53
Investigation on evolutionary optimization of chaos control52
Validity of fractal derivative to capturing chaotic attractors51
Analysis of the mitigation strategies for COVID-19: From mathematical modelling perspective51
Fixed-time synchronization control of memristive MAM neural networks with mixed delays and application in chaotic secure communication50
Using handpicked features in conjunction with ResNet-50 for improved detection of COVID-19 from chest X-ray images49
Differential and integral operators with constant fractional order and variable fractional dimension49
Identifying influential nodes in complex networks from global perspective49
Multi-wing hyperchaotic attractors from coupled Lorenz systems49
Fractional model of COVID-19 applied to Galicia, Spain and Portugal48
Modeling the transmission of dengue infection through fractional derivatives48
Multi-stage classification of congestive heart failure based on short-term heart rate variability46
Small limit cycles bifurcating from fine focus points in cubic order Z2-equivariant vector fields45
Two-memristor-based chaotic system and its extreme multistability reconstitution via dimensionality reduction analysis45
Controllability of semilinear impulsive Atangana-Baleanu fractional differential equations with delay45
Chebyshev cardinal wavelets for nonlinear stochastic differential equations driven with variable-order fractional Brownian motion42
On predefined-time synchronisation of chaotic systems42
Computational study of multi-species fractional reaction-diffusion system with ABC operator42
A multi-scroll chaotic system for a higher coverage path planning of a mobile robot using flatness controller42
Effects of symmetric and asymmetric nonlinearity on the dynamics of a novel chaotic jerk circuit: Coexisting multiple attractors, period doubling reversals, crisis, and offset boosting41
Trinition the complex number with two imaginary parts: Fractal, chaos and fractional calculus41
Novel technique of Atangana and Baleanu for heat dissipation in transmission line of electrical circuit41
Global dynamics of the multi-lingual SIR rumor spreading model with cross-transmitted mechanism41
Evolutionary vaccination game approach in metapopulation migration model with information spreading on different graphs41
Fractional X-shape controllable multi-scroll attractor with parameter effect and FPGA automatic design tool software40
Modeling, analysis and prediction of new variants of covid-19 and dengue co-infection on complex network40
A fractional model for the dynamics of competition between commercial and rural banks in Indonesia40
Fractional order modelling of omicron SARS-CoV-2 variant containing heart attack effect using real data from the United Kingdom40
Asian-barrier option pricing formulas of uncertain financial market39
Cryptographic pseudo-random sequence from the spatial chaotic map39
Numerical approximations of Atangana–Baleanu Caputo derivative and its application39
Dynamical behaviors for vaccination can suppress infectious disease – A game theoretical approach38
On the dynamics of fractional maps with power-law, exponential decay and Mittag–Leffler memory37
Nonlinear time series analysis of vibration data from a friction brake: SSA, PCA, and MFDFA37
Meshfree moving least squares method for nonlinear variable-order time fractional 2D telegraph equation involving Mittag–Leffler non-singular kernel37
Hopf-Hopf bifurcation and chaotic attractors in a delayed diffusive predator-prey model with fear effect37
A fractional mathematical model of breast cancer competition model37
TLCoV- An automated Covid-19 screening model using Transfer Learning from chest X-ray images36
Identifying influential nodes based on fuzzy local dimension in complex networks36
Nonlinear dynamics of a novel fractional-order Francis hydro-turbine governing system with time delay35
Fundamental results on weighted Caputo–Fabrizio fractional derivative35
Stability and bifurcation analysis of an epidemic model with the effect of media35
Behavioural study of symbiosis dynamics via the Caputo and Atangana–Baleanu fractional derivatives35
A new approach on the approximate controllability of fractional differential evolution equations of order 1 < r < 2 in Hilbert spaces34
A new hyper-chaos generated from generalized Lorenz system via nonlinear feedback34
A point defect model for the general and pitting corrosion on iron∣oxide∣electrolyte interface deduced from current oscillations34
High energy physics and the standard model from the exceptional Lie groups34
Heat transfer analysis in sodium alginate based nanofluid using MoS2 nanoparticles: Atangana–Baleanu fractional model34
A game theoretic approach to discuss the positive secondary effect of vaccination scheme in an infinite and well-mixed population34
Research on trend prediction of internet user intention understanding and public intelligence mining based on fractional differential method33
Legendre wavelets for the numerical solution of nonlinear variable-order time fractional 2D reaction-diffusion equation involving Mittag–Leffler non-singular kernel33
Passive network evolution promotes group welfare in complex networks33
Chaotic dynamics and chaos control for the fractional-order geomagnetic field model33
Tumor evasion from immune control: Strategies of a MISS to become a MASS32
Analysis of the fractional diffusion equations described by Atangana-Baleanu-Caputo fractional derivative32
Modeling and control of the hepatitis B virus spreading using an epidemic model32
Analytic approaches of the anomalous diffusion: A review32
Grey Lotka–Volterra models with application to cryptocurrencies adoption32
Periodic and chaotic solutions for a nonlinear system arising from a nuclear spin generator31
Dynamical behaviour of fractional order tumor model with Caputo and conformable fractional derivative31
Transitions from localization to nonlocalization in strongly nonlinear damped oscillators31
Modelling, analysis and simulations of some chaotic systems using derivative with Mittag–Leffler kernel31
Photoplethysmogram at green light: Where does chaos arise from?31
Simulation of coronavirus disease 2019 (COVID-19) scenarios with possibility of reinfection31
Modeling and simulation of nonlinear dynamical system in the frame of nonlocal and non-singular derivatives31
Black–Scholes option pricing equations described by the Caputo generalized fractional derivative30
MHD flow of a fractional second grade fluid over an inclined heated plate30
Nonlinear dynamics and chaos in micro/nanoelectromechanical beam resonators actuated by two-sided electrodes30
Heat transfer analysis of generalized Jeffery nanofluid in a rotating frame: Atangana–Balaenu and Caputo–Fabrizio fractional models29
Experimental modeling of electromagnetic wave scattering from an ocean surface based on chaotic theory28
Real-time RGB image encryption for IoT applications using enhanced sequences from chaotic maps28
Dimensions and Lyapunov exponents from exchange rate series28
Euclidean and Lorentzian quantum gravity—lessons from two dimensions28
Bursting oscillations and bifurcation mechanism in memristor-based Shimizu–Morioka system with two time scales28
Lessons from being challenged by COVID-1927
Optimal control problem for variable-order fractional differential systems with time delay involving Atangana–Baleanu derivatives27
Finite-time projective synchronization of fractional-order complex-valued memristor-based neural networks with delay27
Simulation and experimental implementation of a line–equilibrium system without linear term27
Fractional model of HIV transmission with awareness effect26
Antimonotonicity, chaos, quasi-periodicity and coexistence of hidden attractors in a new simple 4-D chaotic system with hyperbolic cosine nonlinearity26
Determining the number of Higgs particles starting from general relativity and various other field theories26
Difference synchronization among three chaotic systems with exponential term and its chaos control26
Complexified quantum field theory and “mass without mass” from multidimensional fractional actionlike variational approach with dynamical fractional exponents26
Chaotic behavior of predator-prey model with group defense and non-linear harvesting in prey26
Analysis of a new partial integro-differential equation with mixed fractional operators26
Effect of noise on estimation of Lyapunov exponents from a time series25
Existence and multiplicity for some boundary value problems involving Caputo and Atangana–Baleanu fractional derivatives: A variational approach25
Study of a Leslie–Gower predator-prey model with prey defense and mutual interference of predators25
Degenerating the butterfly attractor in a plasma perturbation model using nonlinear controllers25
Dynamics analysis on competition between manufacturing and remanufacturing in context of government subsidies25
Generation of fractals from complex logistic map24
Dynamical effects of memristive load on peak current mode buck-boost switching converter24
Dynamics of a time-delayed SIR epidemic model with logistic growth and saturated treatment24
From Lagrangian mechanics fractal in space to space fractal Schrödinger’s equation via fractional Taylor’s series24
Generating hierarchial scale-free graphs from fractals24
Uniform asymptotic stability of a Logistic model with feedback control of fractional order and nonstandard finite difference schemes24
Interacting model of rumor propagation and behavior spreading in multiplex networks24
Forecasting emergency department overcrowding: A deep learning framework24
From bi-stability to chaotic oscillations in a macroeconomic model24
Stochastic resonance in a high-order time-delayed feedback tristable dynamic system and its application24
A comparison study of bank data in fractional calculus24
Analysis and numerical simulation of fractional order Cahn–Allen model with Atangana–Baleanu derivative24
Correlation analysis of chaotic trajectories from Chua’s system24
Detecting chaos in a citrus orchard: Reconstruction of nonlinear dynamics from very short ecological time series23
Approximation methods for solving fractional equations23
Routes to chaos in continuous mechanical systems: Part 2. Modelling transitions from regular to chaotic dynamics23
A hybrid stochastic fractional order Coronavirus (2019-nCov) mathematical model23
True random number generation from mobile telephone photo based on chaotic cryptography23
Optical solitons and conservation laws with polarization–mode dispersion for coupled Fokas–Lenells equation using group invariance23
A modified passive walking biped model with two feasible switching patterns of motion to resemble multi-pattern human walking22
Generation of hyperchaos from the Chen–Lee system via sinusoidal perturbation22
The three versions of distributional chaos22
Limit cycles bifurcating from a perturbed quartic center22
Generating multicluster conservative chaotic flows from a generalized Sprott-A system22
Modeling cryptocurrencies transaction counts using variable-order Fractional Grey Lotka-Volterra dynamical system22
Analysis of a novel coronavirus (2019-nCOV) system with variable Caputo-Fabrizio fractional order22
A numerical method for solving fractional-order viscoelastic Euler–Bernoulli beams22
Fractional Brownian motion: Difference iterative forecasting models22
Memristor variability and stochastic physical properties modeling from a multivariate time series approach22
Nonlinear dynamics of a duopoly Stackelberg game with marginal costs22
W-shaped and bright optical solitons in negative indexed ma22
A mathematical model of the evolution and spread of pathogenic coronaviruses from natural host to human host21
Nonlinear F-contractions on b-metric spaces and differential equations in the frame of fractional derivatives with Mittag–Leffler kernel21
Qualitative analysis of stochastically perturbed SIRS epidemic model with two viruses21
From geometric invariants and symbolic matrixes towards new perspectives on forecasting of PWM converter dynamics21
Investor behavior, information disclosure strategy and counterparty credit risk contagion21
On the transition from the classical to the quantum regime in fractal space–time theory21
An investigation on Michaelis - Menten kinetics based complex dynamics of tumor - immune interaction21
Determining the temperature of the microwave background radiation from the topology and geometry of spacetime20
Hints of a new relativity principle from p-brane quantum mechanics20
Analysis of bifurcation, chaos and pattern formation in a discrete time and space Gierer Meinhardt system20
The resumption of sports competitions after COVID-19 lockdown: The case of the Spanish football league20
Deriving the essential features of the standard model from the general theory of relativity20
Correlation dimension estimation from electrocardiograms20
On synchronization in heterogeneous FitzHugh–Nagumo networks20
Interaction properties between rogue wave and breathers to the manakov system arising from stationary self-focusing electromagnetic systems20
Nonlinear dynamics of an origami wheel with shape memory alloy actuators20
Minimal digital chaotic system20
Stability and chaos in the fractional Chen system20