Chaos Solitons & Fractals

Papers
(The median citation count of Chaos Solitons & Fractals is 5. 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 2021-11-01 to 2025-11-01.)
ArticleCitations
Dynamics by control strategies targeting the effective reproduction number203
A novel similarity measure based on dispersion-transition matrix and Jensen–Fisher divergence and its application on the detection of rail short-wave defects191
The stability and collision dynamics of quantum droplets in PT-symmetric optical lattices150
Editorial Board128
Heterogeneous parallel computing based real-time chaotic video encryption and its application to drone-oriented secure communication125
Action potential solitons and waves in axons124
Time series analysis of wildfire propagation in Chile: A complex networks approach121
Nonreciprocal unconventional photon blockade via Barnett effect in a hybrid cavity magnonic system120
Spiking and bursting activities in an NLAM-based CNN cell118
Mechanisms of semantic communication of information and dynamics of complex systems. Application to financial markets106
Partition independent control and collaborative optimization of high-density crowd in subway stations105
Wada boundaries on a hyperbolic pair of pants103
Impact of individual activity on behavior adoption in complex networks: A two-layer generalized SAR model analysis103
Multistability and bifurcation analysis for a three-strategy game system with public goods feedback and discrete delays102
Dynamic model of vibrating plate coupled with a granule bed101
Threshold dynamics: Formulation, stability & sensitivity analysis of co-abuse model of heroin and smoking101
Large time behavior in a reaction diffusion epidemic model with logistic source101
The dynamical analysis of non-uniform neocortical network model in up-down state oscillations97
Dynamical and topological conditions triggering the spontaneous activation of Izhikevich neuronal networks96
Self-organization and evolution of structure and function in cultured neuronal networks93
Emergent magnetic field and vector potential of the toroidal magnetic hopfions91
Analysis of Th1/Th2 response pattern with Treg cell inhibition and stochastic effect88
Transformations of spike and burst oscillations in the stochastic Rulkov model88
Discrete scaling and criticality in a chain of adaptive excitable integrators88
A new technique for solving a class of strongly nonlinear oscillatory equations88
Dynamical responses of a Gaussian colored noise-driven shape memory alloy oscillator with a periodic force87
Comment on “Non-integrability of the Trapped Ionic System”. by Georgi Georgiev86
A hybrid artificial neural network for the generation of critical fluctuations and inter-spike intervals86
Discrete quantum droplets in one-dimensional binary Bose–Einstein condensates86
A multifractal formalism for new general fractal measures85
A new five-dimensional non-Hamiltonian conservative hyperchaos system with multistability and transient properties85
Identifying influential nodes in social networks via improved Laplacian centrality83
Dissipative solitons stabilized by nonlinear gradients in one spatial dimension: From deterministic to stochastic aspects, and a perspective83
Stabilization of multi-link delayed neutral-type complex networks with jump diffusion via aperiodically intermittent control82
Keeping or reversing social norms promote cooperation by enhancing indirect reciprocity81
Stable higher-charge vortex droplets governed by quantum fluctuations in three dimensions80
Sliding fast–slow dynamics in the slowly forced Duffing system with frequency switching80
Multi-affine visible height correlation analysis for revealing rich structures of fractal time series79
Time-delay neural network observer-based adaptive finite-time prescribed performance control for nonlinear systems with unknown time-delay79
How multiple weak species jeopardise biodiversity in spatial rock–paper–scissors models78
A study of bidirectional control of Parkinson’s beta oscillations by basal ganglia78
Chaotic Complex Hashing: A simple chaotic keyed hash function based on complex quadratic map78
A realizable chaotic system with interesting sets of equilibria, characteristics, and its underactuated predefined-time sliding mode control77
Explosive synchronization in multiplex multiple timescale networks with higher-order interactions76
Stability and controllability results of ψ-Hilfer fractional integro-d76
A unified Maxwell model with time-varying viscosity via ψ-Caputo fr75
Stability, convergence, and energy preservation robust methods for fully implicit and fully explicit coupling schemes75
A simple interpolative contraction approach for analyzing existence and uniqueness of solutions in the fractional-order King Cobra model74
Non-periodic intermittent stochastic control for SVIQR epidemic model on complex network with saturation incidence rate73
Stochastic optimal control and piecewise parameterization and optimization method for inventory control system improvement72
Nonlinear dynamics of gap solitons in SOC-BECs trapped in a deformed honeycomb optical lattice72
Evolutionary dynamics of threshold public goods games on random hypergraphs72
Analytical derivation of delayed prey–predator model with hunting-and-resting delay71
Mathematical modeling of operation loop ratio and its effect in combat networks71
Unknown-input pseudo-state observer synthesis for fractional-order systems: A geometric framework71
Solution of non-autonomous impulsive evolution equation in reflexive Banach spaces71
Application of QGA-MCKD and stochastic feedback pooling network in variable-condition bearing diagnostics70
Design of chaotic Young's double slit experiment optimization heuristics for identification of nonlinear muscle model with key term separation70
Delta-shock solution for the nonhomogeneous Euler equations of compressible fluid flow with Born–Infeld equation of state69
Critical station identification and robustness analysis of urban rail transit networks based on comprehensive vote-rank algorithm68
Symmetric and asymmetric bursting oscillations in a hybrid van der Pol-Duffing-Rayleigh system68
Nondegenerate three-hump solitons for the nonlinear Schrödinger equations in optics68
Derivation of vertical concentration profile for nonuniform sediment in suspension using Shannon entropy68
Filtered rays over iterated absolute differences on layers of integers68
Driven transitions between megastable quantized orbits68
Collective canard explosions of globally-coupled rotators with adaptive coupling67
Conservation laws and some new exact solutions for traffic flow model via symmetry analysis67
Stochastic admissibility and H67
Robustness of the absolute Rosenau–Hyman |K67
Hopf bifurcation of the recurrent infectious disease model with disease age and two delays67
Integral resonant negative derivative feedback suppression control strategy for nonlinear dynamic vibration behavior model66
Bifurcation and resonance of fractional cubic nonlinear system66
Traffic-driven explosive synchronization with adaptive local routing in complex networks65
Bursting oscillations with bifurcations of chaotic attractors in a modified Chua’s circuit65
Aging transition under discrete time-dependent coupling: Restoring rhythmicity from aging65
Public goods game across multilayer populations with different densities65
Dynamics of an autonomous electromechanical pendulum-like system with experimentation64
Epidemic spreading in populations of mobile agents with adaptive behavioral response64
Controlling chaotic oscillations in a symmetric two-mass model of the vocal folds64
A novel blood glucose time series prediction framework based on a novel signal decomposition method64
Image encryption algorithm by fractional based chaotic system and framelet transform63
Applying chaos indicators to Bianchi cosmological models63
An application of fixed point technique of Rothe’s-type to interpret the controllability criteria of neutral nonlinear fractional ordered impulsive system63
Nonlinear resonances in fast electronic circuits mimicking photonic oscillators63
Large deviations approach to a one-dimensional, time-periodic stochastic model of pattern formation63
Fractal correlations in the Covid-19 genome sequence via multivariate rescaled range analysis61
Modulating propagation of Parkinsonian beta oscillations with transcranial direct current stimulation: A computational study61
Multi-vortex beams in nonlinear media with harmonic potential wells61
Stochastic dynamics of hysteresis systems under harmonic and Poisson excitations61
Dynamics of non–identical coupled Chialvo neuron maps61
Energy level and coherence resonance in two memristive neurons in polarized electric field60
PPO-ACT: Proximal policy optimization with adversarial curriculum transfer for spatial public goods games60
A rumor propagation model in multilingual environment with time and state dependent impulsive control60
On symmetric gH-derivative: Applications to dual interval-valued optimization problems59
Large-scale robustness-oriented efficient edge addition through traversal tree-based weak edge identification59
Transport and Fano resonance in a one-dimensional weakly-interacting periodically driven fermionic system59
Echo effect in brain networks59
Temporal link prediction based on node dynamics58
Impact of positive and negative information on epidemic spread in a three-layer network58
Multifractal risk measures by Macroeconophysics perspective: The case of Brazilian inflation dynamics58
Expanding the duopoly Stackelberg game with marginal costs into a multipoly game with lowering the burden of mathematical calculations: a numerical analysis58
Finite-time synchronization for delayed BAM neural networks by the approach of the same structural functions58
Controlling COVID-19 transmission with isolation of influential nodes58
Turing–Hopf bifurcation in a general Selkov–Schnakenberg reaction–diffusion system57
Design of a novel memristor-modulated hyperchaotic map with differential variable input57
Measure attractors and measure evolution systems in high-order moment metric space for fractional stochastic Ginzburg–Landau equations on unbounded domains57
Efficient hybrid PageRank centrality computation for multilayer networks57
Comprehensive analysis of network robustness evaluation based on convolutional neural networks with spatial pyramid pooling57
Role of myocardial ischemia components in overdrive pacing of spiral waves57
Transformer operator network with fast difference gradient positive–negative momentum for solving Navier–Stokes equations57
A new intervention strategy for an HIV/AIDS transmission by a general fractional modeling and an optimal control approach56
Manifestation of interval uncertainties for fractional differential equations under conformable derivative56
Quantitative orbit classification of the planar restricted three-body problem with application to the motion of a satellite around Jupiter56
Feedback control of chaos in impact oscillator with multiple time-delays56
The impact of memory reputation-induced tax and reward allocation on spatial public goods games55
Chaos control of fractional order nonlinear Bloch equation by utilizing sliding mode controller55
Generation and control of grid multi-vortex attractors in memristive Hopfield neural network55
Generalized FitzHugh–Nagumo model with tristable dynamics: Deterministic and stochastic bifurcations55
Coupling resonance of signal responses induced by heterogeneously mixed positive and negative couplings in cognitive subnetworks54
Optimal pruned tree-cut mapping-based fast shielding for large-scale networks54
Supporting punishment via taxation in a structured population54
DC-offset-induced hidden and asymmetric dynamics in Memristive Chua's circuit54
Antisocial behavior-based environmental feedback in spatial prisoner's dilemma game54
Spiraling elliptic beam arrays in strongly nonlocal nonlinear media54
Competition of punishment and reward among inequity-averse individuals in spatial public goods games54
Ambiplasma separation into matter and antimatter by a train of baryon-acoustic solitons in the problem of the baryon asymmetry of the Universe53
COVID-19 dynamics and immune response: Linking within-host and between-host dynamics53
Soliton, breather and rogue wave solutions of the higher-order modified Gerdjikov–Ivanov equation53
Coevolutionary dynamics of feedback-evolving games in structured populations53
Dynamical analysis, multi-cavity control and DSP implementation of a novel memristive autapse neuron model emulating brain behaviors53
Improved results of asynchronous mixed H53
Optimal tuning of support vector machines and k-NN algorithm by using Bayesian optimization for newborn cry signal diagnosis based on audio signal processing features52
Topological properties and wave structures of Gilson–Pickering equation52
A novel nonlinear automated multi-class skin lesion detection system using soft-attention based convolutional neural networks52
Chirped periodic waves for an cubic-quintic nonlinear Schrödinger equation with self steepening and higher order nonlinearities52
Lump and soliton on certain spatially-varying backgrounds for an integrable (3+1) dimensional fifth-order nonlinear oceanic wave model52
Ricci soliton and relativistic thermodynamical fluid spacetime51
Dynamics of chirped similaritons on a continuous-wave background in weakly birefringent optical fibers51
Management of the discrete eigenvalues of the nonlinear Schrödinger equation using periodic dispersion perturbation51
A combination of classical and shifted Jacobi polynomials for two-dimensional time-fractional diffusion-wave equations51
Controllability of Hilfer fractional neutral impulsive stochastic delayed differential equations with nonlocal conditions51
Dynamics of bouncing convex body51
Routes to chaos and bistability in the Rypdal model with a parametric disturbance50
Pure-quartic soliton self-frequency shift in a mode-locked fiber laser50
Propagation phenomenon for bistable parabolic equation in space-periodic environment50
Effect of nonlinearity of discrete Langevin model on behavior of extremes in generated time series50
Emergent coordination without symmetry breaking in Minority Game via policy-based reinforcement learning49
Rigorous pointwise approximations of invariant densities for intermittent maps with a critical point49
Phase transitions in operation of heterogeneous vehicles mixed with human-driven and connected autonomous vehicles under speed restriction circumstances49
An innovative orthogonal matrix based on nonlinear chaotic system for compressive sensing49
Probabilistic analysis of the steady state of weakly perturbed linear oscillators subject to a class of Gaussian inputs48
A chaotic two-dimensional image classification algorithm based on convolutional neural networks48
Early warning signal of abrupt change in sea level pressure based on changing spectral exponent48
Geometric phase and Wehrl phase entropy for two superconducting qubits in a coherent field system under the effect of nonlinear medium48
Stochastically drifted Brownian motion for self-propelled particles48
Stability and decay of composite kinks/Q-balls solutions in a defo47
Effect of heterogeneities in two-populations of globally coupled phase oscillators with higher-order interaction47
Analytical solutions for the short-term plasticity47
Qualitative analysis on a reaction–diffusion SIS epidemic model with nonlinear incidence and Dirichlet boundary47
Filtering induced explosive death in coupled FitzHugh–Nagumo neurons: Theory and experiment47
How colored noise impacts excitation and suppression of calcium oscillations: Stochastic sensitivity analysis47
Control energy scaling for target control of complex networks47
Vector annular rogue wave quartets and sextets46
New coherent structures and interaction behavior for the new (46
Complete aging in the noisy voter model enhances consensus formation46
Pseudo-phase difference guides additional connection between oscillators for synchrony46
Learning the chaotic and regular nature of trajectories in Hamiltonian systems with Lagrangian descriptors45
An optimized and interpretable carbon price prediction: Explainable deep learning model45
Successive lag synchronization of heterogeneous distributed-order coupled neural networks with unbounded delayed coupling45
Emergence of relaxation beat-waves in genuinely nonlinear Klein-Gordon chain with bi-harmonic parametric excitation45
A visit generation process for human mobility random graphs with location-specific latent-variables: From land use to travel demand45
Bifurcation analysis of a non linear 6D financial system with three time delay feedback45
Analyzing the stability of fractal delay differential equations45
Charging free fermion quantum batteries44
Neuromorphic dynamics near the edge of chaos in memristive neurons44
Robust global fixed-time synchronization of different dimensions fractional-order chaotic systems43
Chaos emerges from coexisting homoclinic cycles for a class of 3D piecewise systems43
Analysis of threshold Ornstein–Uhlenbeck process with piecewise linear drift and piecewise constant diffusion43
Editorial Board43
Ephemeral connections, persistent effects: Cooperation dynamics in temporal networks with historical interactions43
On the localization of Hutchinson–Barnsley fractals43
Stability analysis of an axially moving viscoelastic beam under transverse magnetic fields and thermal loads43
Nonlinear Rayleigh-Bénard magnetoconvection of a weakly electrically conducting Newtonian liquid in shallow cylindrical enclosures43
Remarkable results obtained when studying a question concerning the invariant set of an IFS43
Fraction-order sideband generation in a driven magnomechanical system43
The classical and quantum two-center harmonic-like problem43
Stochastic volatility model with long memory for water quantity-quality dynamics43
Three-dimensional m-HR neuron model and its application in medical image encryption43
A unique self-driven 5D hyperjerk circuit with hyperbolic sine function: Hyperchaos with three positive exponents, complex transient behavior and coexisting attractors43
Magnetization reversal phenomenon of higher-order lump and mixed interaction structures on periodic background in the (2+1)-dimensional Heisenberg ferromagnet spin equation43
Simulation of non-transmural ablation lines that effectively block electrical signal propagation in the heart42
Forecasting countries' gross domestic product from patent data42
Dynamic behaviors of multiple-solitons in a magnetized dusty plasma42
A study on eco-epidemiological model with fractional operators42
Stringency without efficiency is not adequate to combat pandemics42
A self-organized criticality participative pricing mechanism for selling zero-marginal cost products42
The rise and fall of donation behavior through reputation42
Corrigendum to “Influence of oxygen ion elementary diffusion jumps on the electron current through the conductive filament in yttria stabilized zirconia nanometer-sized memristor” [Chaos, Solitons Fra42
Data-assimilation and state estimation for contact-based spreading processes using the ensemble kalman filter: Application to COVID-1942
Allee effect in models of interacting species41
Flatness-based real-time control of experimental analog chaotic oscillators41
Mathematical analysis of global dynamics and optimal control of treatment for an age-structured HBV infection model41
Data-driven fault-tolerant control for nonlinear systems with output saturation41
A novel simultaneous permutation–diffusion image encryption scheme based on a discrete space map41
Nonlinear modeling of sparkling drink bubbles using a physics informed long short term memory network41
Growth feedback confers cooperativity in resource-competing synthetic gene circuits41
Statistics of remote regions of networks41
Existence of chaos in controlled first-order partial difference equations with general delay controllers41
Stability and adaptive control-based synchronization of delayed uncertain fractional-order gene regulatory networks41
Scalar and vector electromagnetic solitary waves in nonlinear hyperbolic media41
Long- and short-term effects of cross-immunity in epidemic dynamics40
Nonlinear wave excitations in the (2+1)-D asymmetric Nizhnik-Novikov-Veselov system40
Editorial Board40
Exploring the relationship between the spatial distribution of roads and universal pattern of travel-route efficiency in urban road networks40
A study on Zika–Dengue coinfection model with microcephaly newborn dynamics40
Simultaneously primary and super-harmonic resonance of a van der Pol oscillator with fractional-order derivative40
LMI based stability condition for delta fractional order system with sector approximation40
Dispersion entropy for graph signals40
The cellular automata inside optical chimera states39
Competition of alliances in a cyclically dominant eight-species population39
Scaling properties of a class of interfacial singular equations39
Numerical analysis of variable fractional viscoelastic column based on two-dimensional Legendre wavelets algorithm39
Overcoming the snaking instability and nucleation of dark solitons in nonlinear Kerr media by spatially inhomogeneous defocusing nonlinearity39
A statistical moment-based spectral approach to the chance-constrained stochastic optimal control of epidemic models39
Quasi-projective synchronization of inertial complex-valued recurrent neural networks with mixed time-varying delay and mismatched parameters39
“Phase transitions” in small systems: Why standard threshold definitions fail for nanolasers39
Dynamic analysis and bursting oscillation control of fractional-order permanent magnet synchronous motor system39
Editorial Board39
A novel approach to estimated Boulingand-Minkowski fractal dimension from complex networks39
Entropy and complexity analysis of AI-generated and human-made paintings39
Turing patterns in systems with high-order interactions39
Approximate-Analytical solution to the information measure’s based quanto option pricing model39
Global dynamics of ILSR rumor spreading model with general nonlinear spreading rate in multi-lingual environment38
Kernel based physics-informed machine learning for approximating CEV model under nonlinear volatility regimes in real-world financial environments38
Geometry-aware reservoirs: Patch-wise Jacobian lifting with cross-patch couplings for piecewise-linear modelling of chaotic flows38
A singular value decomposition entropy approach to assess the impact of Covid-19 on the informational efficiency of the WTI crude oil market38
Pulsating pure-quartic solitons with spectral asymmetry in an ultrafast fiber laser38
Obesity and Alzheimer’s: An attempt to decipher the role of obesity in blood–brain barrier degradation38
A flexible-predefined-time convergence and noise-suppression ZNN for solving time-variant Sylvester equation and its application to robotic arm38
A sparse regression framework for governing equation discovery in nonlinear optical dynamics38
Exploring ring dark soliton dynamics in Rydberg-dressed Bose–Einstein condensate38
Global multistability and mechanisms of a memristive autapse-based Filippov Hindmash-Rose neuron model38
An efficient 2D hyper chaos and DNA encoding-based s-box generation method using chaotic evolutionary improvement algorithm for nonlinearity37
The spatially homogeneous hopf bifurcation induced jointly by memory and general delays in a diffusive system37
Mathematical modeling approach of cancer immunoediting reveals new insights in targeted-therapy and timing plan of cancer treatment37
Polarized electric field-induced drift of spiral waves in discontinuous cardiac media37
Quantifying predictive knowledge: Wavelet energy α-divergence measu37
A stochastic hormesis Ricker model and its application to multiple fields37
Dark and antidark solitons on continuous and doubly periodic backgrounds in the space-shifted nonlocal nonlinear Schrödinger equation37
Implementation of q-calculus on q-integro-differential equation involving anti-periodic boundary conditions with three criteria37
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