Chaos Solitons & Fractals

Papers
(The TQCC of Chaos Solitons & Fractals is 10. 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 2021-02-01 to 2025-02-01.)
ArticleCitations
Time evolution of nonadditive entropies: The logistic map283
Classical Rabi oscillations induced by unbalanced dissipation on a nonlinear dimer164
Hybrid solutions for the (2+1)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation in fluid mechanics164
Large-scale robustness-oriented efficient edge addition through traversal tree-based weak edge identification157
Optimal pruned tree-cut mapping-based fast shielding for large-scale networks148
Transformations of spike and burst oscillations in the stochastic Rulkov model118
Optimal impulsive blood glucose control through multiple injections115
Ambiplasma separation into matter and antimatter by a train of baryon-acoustic solitons in the problem of the baryon asymmetry of the Universe114
Temporal link prediction based on node dynamics112
A class of computational approaches for simulating fractional functional differential equations via Dickson polynomials111
Developing a novel mucociliary clearance boundary condition (MCBC) to simulate micro-scale particle transfers inside the respiratory tract system without generating extra computational cells104
Integrated L101
On a heavy-tailed distribution and the stability of an equilibrium in a distributed delay symmetric network97
Dynamics of stochastic predator-prey systems with continuous time delay96
Response solutions for a kind of quasi-periodic forced neuron system95
Exponential stabilization of chaotic systems based on fuzzy time-triggered intermittent control95
Stochastic bifurcations and its regulation in a Rijke tube model94
Global structures of clew-shaped conservative chaotic flows in a class of 3D one-thermostat systems94
On a coupled nonlocal nonlinear Schrödinger system93
Generalized compacton equation, conservation laws and exact solutions93
Self-organization and evolution of structure and function in cultured neuronal networks93
The unique limit cycle in post Keynesian theory92
Wada boundaries on a hyperbolic pair of pants92
Families’ influence on romantic relationship and its reconstruction91
Generalized enriched cyclic contractions with application to generalized iterated function system90
Editorial Board89
Asymptotic synchronization of conformable fractional-order neural networks by L’ Hopital’s rule88
A novel blood glucose time series prediction framework based on a novel signal decomposition method87
A tensor-based independent cascade model for finding influential links considering the similarity86
Self-similar attractor sets of the Lorenz model in parameter space86
Collective canard explosions of globally-coupled rotators with adaptive coupling85
Unveiling pseudo-crucial events in noise-induced phase transitions83
Discrete scaling and criticality in a chain of adaptive excitable integrators83
Random deposition with spatially correlated noise (RD-SCN) model: Multi-affine analysis83
Attractor memory in a nonautonomous multistable system82
A novel parameter for nonequilibrium analysis in reconstructed state spaces82
Auto-oscillations and chaos at collective motion of agents81
High-accuracy approximation of evolutionary pairwise games on complex networks80
Global existence of unique solutions to equations for pattern formation in active mixtures79
Mining relationships between performance of link prediction algorithms and network structure79
Dynamical behaviours of a delayed diffusive eco-epidemiological model with fear effect77
Bifurcation analysis of a synthetic drugs model affected by multiple factors77
Two neural-network-based methods for solving elliptic obstacle problems77
Dynamical analysis on a size-structured population model of Daphnia with delayed birth process76
Dynamics caused by the mean-reverting Ornstein–Uhlenbeck process in a stochastic predator–prey model with stage structure76
Bifurcation and chaos in one dimensional chains of small particles76
Turing patterns in domains with periodic inhomogeneities; a homogenization approach75
A delayed fractional-order tumor virotherapy model: Stability and Hopf bifurcation74
Theoretical understanding of evolutionary dosing following tumor dynamics73
Estimation of the parameterized integral inequalities involving generalized p-convex mappings on fractal sets and related applications73
Liquidity externality in a market of buying adjustable agents72
Synchronization of multiple mobile reservoir computing oscillators in complex networks71
Riemann boundary value problem on non-rectifiable curves with torsion points71
The dynamical analysis of non-uniform neocortical network model in up-down state oscillations71
Crossing limit cycles for discontinuous piecewise differential systems formed by linear Hamiltonian saddles or linear centers separated by a conic70
Light bullets in a nonlocal Rydberg medium with PT-symmetric moiré optical lattices69
On symmetric gH-derivative: Applications to dual interval-valued optimization problems69
The chaotic monopolist revisited with bounded rationality and delay dynamics69
CMPN: Modeling and analysis of soccer teams using Complex Multiplex Passing Network68
Antisocial behavior-based environmental feedback in spatial prisoner's dilemma game68
Emergent magnetic field and vector potential of the toroidal magnetic hopfions68
A singular value decomposition based approach to handle ill-conditioning in optimization problems with applications to portfolio theory68
The Hutchinson–Barnsley theory for iterated function system with bounded cyclic contractions66
Network-wide traffic state reconstruction: An integrated generative adversarial network framework with structural deep network embedding65
Adaptive fault-tolerant double asynchronous control for switched semi-Markov jump systems via improved memory sampled-data technique65
From absolute equilibrium to Kardar–Parisi–Zhang crossover: A short review of recent developments64
Controlling subharmonic resonance and chaos by a fast forcing in a van der Pol–Duffing oscillator with parametrically excited damping63
Auto-parametric resonance of flexible viscoelastic beams under interaction between longitudinal and transverse modes63
Approximation-solvability of population biology systems based on p-Laplacian elliptic inequalities62
Interplays between different secretases in the generation of Amyloid-β62
Existence and uniqueness of blow-up solution to a fully fractional thermostat model62
Capture of stochastic P-bifurcation in a delayed mechanical centrifugal governor62
Synchronization for stochastic large-scale systems via intermittent delay discrete observation control61
Robust limit cycle control for finite-time generation of sustained oscillations in nonlinear systems with mixed dead-zone and saturation61
Fault estimation and tolerant bumpless transfer control for switched systems61
Unraveling the effects of network, direct and indirect reciprocity in online societies61
Switching behavior of the gamma power in the neuronal network modulated by the astrocytes61
Editorial Board61
A new result on the fractal dimension estimates of random attractor for non-autonomous random 2D stochastic dynamical type systems61
Comment on “Practical finite difference method for solving multi-dimensional black-Scholes model in fractal market” [Chaos, Solitons Fractals 157 (2022) 111895]61
The role of Far-Sighted agents on the evolution of cooperation in social dilemma60
Applying chaos indicators to Bianchi cosmological models59
A discrete Darboux–Lax scheme for integrable difference equations59
Impurity–impurity and impurity–breather interactions combined with energy localization in a quantum 1D Klein–Gordon chain59
Output tracking control for state-dependent switched systems with input delay58
Analysis of Th1/Th2 response pattern with Treg cell inhibition and stochastic effect58
An innovative approach based on optimization for the determination of initial conditions of continuous-time chaotic system as a random number generator58
Statistical properties of mutualistic-competitive random networks58
Comment on the paper “An efficient numerical scheme for fractional characterization of MHD fluid model, Muhammad Hamid, Muhammad Usman, Yaping Yan, Zhenfu Tian, Chaos, Solitons and Fractals, 2022, 16258
Principle of least effort vs. maximum efficiency: deriving Zipf-Pareto's laws57
Geometric progressions meet Cantor sets57
On the global polynomial stabilization and observation with optimal decay rate56
On the co-complex-type k-Fibonacci numbers56
Quantifying the status of economies in international crop trade networks: A correlation structure analysis of various node-ranking metrics56
On fractional impulsive system for methanol detoxification in human body55
Numerical approximation and fast implementation to a generalized distributed-order time-fractional option pricing model54
On the dynamical stochastic electrostatic noise fluctuations in Zakharov model54
Bayesian inversion for a fractional Lotka-Volterra model: An application of Canadian lynx vs. snowshoe hares54
Derivation of vertical concentration profile for nonuniform sediment in suspension using Shannon entropy54
Stability and bifurcation analysis of a fractional order delay differential equation involving cubic nonlinearity53
Editorial Board53
Quantitative orbit classification of the planar restricted three-body problem with application to the motion of a satellite around Jupiter53
Dynamics of an autonomous electromechanical pendulum-like system with experimentation53
A nonlinear optimal control problem with an application to optimal dosing of cytotoxic drugs52
Stochastic optimal control and piecewise parameterization and optimization method for inventory control system improvement52
A novel room-based epidemic model: Quarantine, testing, and vaccination strategies52
Effects of the limited incentive pool on cooperation evolution in public goods game52
Cascading 1D-Convnet Bidirectional Long Short Term Memory Network with Modified COCOB Optimizer: A Novel Approach for Protein Secondary Structure Prediction52
Sources of multifractality of the brain rs-fMRI signal51
Echo effect in brain networks51
Theory and numerics of vibrational resonance in a three-level atomic optical bistable system51
NLS-type equations from quadratic pencil of Lax operators: Negative flows50
A generic impulsive controller for Hamiltonian time-independent systems50
Maxwell-scalar system and scalar field with impurity: Novel approach to find nontrivial solutions50
Cellular transport through nonlinear mechanical waves in fibrous and absorbing biological tissues50
A Peano-based space-filling surface of fractal dimension three50
Electromagnetohydrodynamic effects with single-walled carbon nanotubes particles in a corrugated microchannel50
Editorial Board50
Correlation-enhanced viable core in metabolic networks49
A new technique for solving a class of strongly nonlinear oscillatory equations49
Spatial optical soliton cluster solutions in strongly nonlocal nonlinear media49
Stationary distribution and bifurcation analysis for a stochastic SIS model with nonlinear incidence and degenerate diffusion49
Role of noise in spiking dynamics of diffusive memristor driven by heating-cooling cycles49
Swarm intelligence for protecting sensitive identities in complex networks49
On fixed-time interlayer synchronization of two-layer multiweighted complex dynamic networks: An economic and practical non-chattering adaptive control approach49
Mittag–Leffler stability for a fractional Euler–Bernoulli problem49
Effect of diffusion on steady state stability of an oscillatory reaction model49
The fractional nonlinear magnetoinductive impurity48
Multi-vortex beams in nonlinear media with harmonic potential wells48
Exploring cognitive inertia in opinion dynamics using an activity-driven model48
Oscillations in a Josephson junction lattice stimulated by a common load48
Dynamics of two coupled van der Pol–Mathieu oscillators48
Synergy effect of strategy diversity and persistence promotes cooperation48
Topologically protected metastable states in classical dynamics48
Dynamics by control strategies targeting the effective reproduction number47
Regulatory characteristics of population density dynamics of forest insects and possible reasons for the observed narrow range of such characteristics47
Interdependent evolutionary dynamics of opinion and strategy on two-layer networks47
Analysis of pre-El Niño and La Niña events using climate network approach47
Application of modular and sparse complex networks in enhancing connectivity patterns of liquid state machines47
Localization and delocalization of light in synthetic photonic lattices with hybrid Bloch-Anderson modulations46
Turing-like patterns induced by the competition between two stable states in a discrete-time predator–prey model46
Coupling resonance of signal responses induced by heterogeneously mixed positive and negative couplings in cognitive subnetworks46
Approximation of fixed points and fractal functions by means of different iterative algorithms46
On the number of equilibria of the replicator-mutator dynamics for noisy social dilemmas45
Corrigendum to “A new population model for urban infestations” [Chaos, Solit. Fractals 175 (2023) 113939]45
Bayesian estimation of information-theoretic metrics for sparsely sampled distributions45
Global mild solutions to the relativistic Vlasov–Poisson–Fokker–Planck system in the whole space45
Social contagion in high-order network with mutation45
Collective behavior of self-propelled particles with heterogeneity in both dynamics and delays45
A compact memristor emulator for novel IC applications: Its design and experimental validation45
Numerical study of binary mixture and thermophoretic analysis near a solar radiative heat transfer45
Dynamical behaviors of autonomous and nonautonomous models of generalist predator–prey system with fear, mutual interference and nonlinear harvesting44
A variable coefficient third degree generalized Abel equation method for solving stochastic Schrödinger–Hirota model44
Impact of dynamic compensation with resource feedback on the common pool resource game44
Ising game on graphs44
Design and FPGA implementation of a high-speed PRNG based on an n-D non-degenerate chaotic system44
Orthogonal multi-peak solitons from the coupled fractional nonlinear Schrödinger equation44
A new 2D-HELS hyperchaotic map and its application on image encryption using RNA operation and dynamic confusion44
Corrigendum to “Blockchain metrics and indicators in cryptocurrency trading” [Chaos Solit. Fractals 178 (2024) 114305]44
Electronic implementation of simplicial complexes44
Inverse source problem for two-term time-fractional diffusion equation with nonlocal boundary conditions44
Constructing chaotic oscillators with memory components43
Collapse of pure-quartic solitons in a mode-locked fiber laser43
Nonreciprocal unconventional photon blockade via Barnett effect in a hybrid cavity magnonic system43
Noether’s currents for conformable fractional scalar field theories43
Dynamically controllable two-color electromagnetically induced grating via spatially modulated inelastic two-wave mixing43
Evolution of Turing patterns of a predator–prey system with variable carrying capacity and harvesting42
Elimination of reentry spiral waves using adaptive optogenetical illumination based on dynamic learning techniques42
Unraveling the transmission mechanism of animal disease: Insight from a stochastic eco-epidemiological model driven by Lévy jumps42
Time-delay neural network observer-based adaptive finite-time prescribed performance control for nonlinear systems with unknown time-delay42
Dynamical analysis, multi-cavity control and DSP implementation of a novel memristive autapse neuron model emulating brain behaviors42
Dynamical behavior of chirped periodic and self-similar solitary waves in a nonlocal nonlinear saturable media42
On an impulsive faecal-oral model in a periodically evolving environment41
Improved memory and synaptic device performance of HfO2-based multilayer memristor by inserting oxygen gradient TiOx layer41
The stability and collision dynamics of quantum droplets in PT-symmetric optical lattices41
Elastic interaction of second-order rogue matter waves for the modified Gross–Pitaevskii equation with time-dependent trapping potential and gain/loss41
Numerical approximation and convergence to steady state solutions of a model for the dynamics of the sexual phase of Monogonont rotifera41
Research on synchronization in a Josephson junction-memristor system with dual capacitive membranes41
On the evolution and importance of the Fibonacci sequence in visualization of fractals41
Solitons and modulation instability of the perturbed Gerdjikov–Ivanov equation with spatio-temporal dispersion40
Exploration of bifurcation and stability in a class of fractional-order super-double-ring neural network with two shared neurons and multiple delays40
Dynamic behavior of variable mass R4BP with radiating and oblate primaries40
Oscillations in SIR behavioural epidemic models: The interplay between behaviour and overexposure to infection40
Editorial Board40
Stochastic resonance in gene transcriptional regulatory system driven by Gaussian noise and Lévy noise40
Geometric analysis of the spontaneous electrical activity in anterior pituitary corticotrophs40
Detecting bifurcations in a fractional-order neural network with nonidentical delays via Cramer’s rule40
Manifestation of interval uncertainties for fractional differential equations under conformable derivative39
The impact of the self-recognition ability and physical quality on coupled negative information-behavior-epidemic dynamics in multiplex networks39
Multifractal behavior relationship between crypto markets and Wikipedia-Reddit online platforms39
Chaotic Complex Hashing: A simple chaotic keyed hash function based on complex quadratic map39
Break an enhanced plaintext-related chaotic image encryption algorithm39
Gas path parameter prediction of aero-engine based on an autoregressive discrete convolution sum process neural network39
A novel and effective method to characterize complex systems39
Mean-square exponential input-to-state stability for stochastic neutral-type quaternion-valued neural networks via Itô’s formula of quaternion version38
Chaotic dynamics of off-equatorial orbits around pseudo-Newtonian compact objects with dipolar halos38
A stability analysis for multi-term fractional delay differential equations with higher order38
Spiral waves in fractal dimensions and their elimination in λ − ω systems with less damaging intervention38
Noise-induced enhancement of stability and resonance in a tri-stable system with time-delayed feedback38
Optimal control strategies of a fractional order model for Zika virus infection involving various transmissions38
Stochastic admissibility and H38
Platelet-driven routes to chaos in a model of hepatitis38
Regularized Perona & Malik model involving Caputo time-fractional derivative with application to image denoising38
A generalized gravity model for influential spreaders identification in complex networks38
Suppressing spiral waves in a lattice array of coupled neurons using delayed asymmetric synapse coupling38
Beyond linear correlation: Strong nonlinear structures in diurnal temperature range variability over southern China37
Dynamic model of vibrating plate coupled with a granule bed37
Promotion of cooperation mechanism on the stability of delay-induced host-generalist parasitoid model37
European Option Pricing Problems with Fractional Uncertain Processes37
Synchronization of spatiotemporal chaos and reservoir computing via scalar signals37
Doppler shift during overdrive pacing of spiral waves. Prediction of the annihilation site37
Blind extraction of ECG signals based on similarity in the phase space37
A SIR-type model describing the successive waves of COVID-1937
Comments on “a novel approach to approximate fractional derivative with uncertain conditions”37
Turing-Hopf bifurcation analysis and normal form of a diffusive Brusselator model with gene expression time delay36
Chaotic Attractors Generated by a Memristor-Based Chaotic System and Julia Fractal36
Controllability of discrete-time semilinear Riemann–Liouville-like fractional equations36
Complex-valued neural networks with time delays in the L36
Investigating the impact of memory effects on computer virus population dynamics: A fractal–fractional approach with numerical analysis36
Pathogen diversity in meta-population networks36
Time and space generalized diffusion equation on graph/networks36
Topological entropy of multivalued maps in topological spaces and hyperspaces36
A sequential-path tree-based centrality for identifying influential spreaders in temporal networks35
Epidemic spreading in populations of mobile agents with adaptive behavioral response35
Expanding the duopoly Stackelberg game with marginal costs into a multipoly game with lowering the burden of mathematical calculations: a numerical analysis35
Nonlinear redistribution of wealth from a stochastic approach35
Epidemic threshold and ergodicity of an SEIR model with vertical transmission under the telegraph noise35
Stochastic SIR model predicts the evolution of COVID-19 epidemics from public health and wastewater data in small and medium-sized municipalities: A one year study34
On a new class of Atangana-Baleanu fractional Volterra-Fredholm integro-differential inclusions with non-instantaneous impulses34
Cluster states and π-transition in the Kuramoto model with higher 34
A new method for spatio-temporal transmission prediction of COVID-1934
Dynamics of chaotic waterwheel model with the asymmetric flow within the frame of Caputo fractional operator34
A generalization of Müntz-Legendre polynomials and its implementation in optimal control of nonlinear fractional delay systems34
Fractal interpolation over nonlinear partitions34
Modeling the dynamic of COVID-19 with different types of transmissions33
Optimal tuning of support vector machines and k-NN algorithm by using Bayesian optimization for newborn cry signal diagnosis based on audio signal processing features33
Improving demand forecasting in open systems with cartogram-enhanced deep learning33
Data-driven reconstruction of chaotic dynamical equations: The Hénon–Heiles type system33
Quasi-synchronization of multi-layer delayed neural networks with parameter mismatches via impulsive control33
A new uncertain random portfolio optimization model for complex systems with downside risks and diversification33
Periodic orbit description of the blowout bifurcation and riddled basins of chaotic synchronization33
Self-regulation of a network of Kuramoto oscillators33
A mathematical model for tumor-immune competitive system with multiple time delays33
Action potential solitons and waves in axons33
A practical leader–follower hybrid control scheme for wheeled mobile robots33
Solar energy aspects of gyrotactic mixed bioconvection flow of nanofluid past a vertical thin moving needle influenced by variable Prandtl number33
New spin models in ecology: Super multi-stationarity and chaos33
Allee-induced bubbling phenomena in an interacting species model33
RBF-ARX model-based MPC approach to inverted pendulum: An event-triggered mechanism33
Note on a Susceptible-Infectious-Recovered epidemic model with the heterogeneity in susceptibility33
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