Chaos Solitons & Fractals

Article	Citations
Dynamics by control strategies targeting the effective reproduction number	209
Editorial Board	149
Stochastic optimal control and piecewise parameterization and optimization method for inventory control system improvement	142
Driven transitions between megastable quantized orbits	132
Hopf bifurcation of the recurrent infectious disease model with disease age and two delays	131
Robustness of the absolute Rosenau–Hyman |K	130
An application of fixed point technique of Rothe’s-type to interpret the controllability criteria of neutral nonlinear fractional ordered impulsive system	123
Large deviations approach to a one-dimensional, time-periodic stochastic model of pattern formation	123
Fractal correlations in the Covid-19 genome sequence via multivariate rescaled range analysis	122
Solution of non-autonomous impulsive evolution equation in reflexive Banach spaces	118
Antisocial behavior-based environmental feedback in spatial prisoner's dilemma game	117
Time series analysis of wildfire propagation in Chile: A complex networks approach	115
Large time behavior in a reaction diffusion epidemic model with logistic source	107
Stabilization of multi-link delayed neutral-type complex networks with jump diffusion via aperiodically intermittent control	107
DC-offset-induced hidden and asymmetric dynamics in Memristive Chua's circuit	106
Comprehensive analysis of network robustness evaluation based on convolutional neural networks with spatial pyramid pooling	105
Analytical derivation of delayed prey–predator model with hunting-and-resting delay	103
A hybrid artificial neural network for the generation of critical fluctuations and inter-spike intervals	101
Role of myocardial ischemia components in overdrive pacing of spiral waves	99
Site-controlled gain-loss managed solitons in the nonlinear Schrӧdinger equation with complex potential wells	98
Small groups nurturing collective wisdom: The punishment-prediction reinforcement learning mechanism for multi-group cooperation	98
Action potential solitons and waves in axons	97
Dissipative solitons stabilized by nonlinear gradients in one spatial dimension: From deterministic to stochastic aspects, and a perspective	93
Wada boundaries on a hyperbolic pair of pants	93
Non-periodic intermittent stochastic control for SVIQR epidemic model on complex network with saturation incidence rate	92

Effects of multiphysics coupling on stability and chaotic dynamics in a centrifugal pendulum vibration absorber	92
Filtered rays over iterated absolute differences on layers of integers	92
Transport and Fano resonance in a one-dimensional weakly-interacting periodically driven fermionic system	91
Controlling chaotic oscillations in a symmetric two-mass model of the vocal folds	90
Turing–Hopf bifurcation in a general Selkov–Schnakenberg reaction–diffusion system	90
Expanding the duopoly Stackelberg game with marginal costs into a multipoly game with lowering the burden of mathematical calculations: a numerical analysis	90
Controlling COVID-19 transmission with isolation of influential nodes	88
Large-scale robustness-oriented efficient edge addition through traversal tree-based weak edge identification	88
The role of anxiety in the evolution of cooperative behavior based on spatial interactions	86
Stable higher-charge vortex droplets governed by quantum fluctuations in three dimensions	85
Unknown-input pseudo-state observer synthesis for fractional-order systems: A geometric framework	84
Maintenance and collapse of cooperation driven by bounded rationality in structured populations	83
Security-enhanced coherent optical chaotic secure communication based on linearly coupled reservoir computing	82
t -rel	81
Robust quantum-droplet necklace clusters in three dimensions	80
Proof of an open problem on the maximization of the Euler–Sombor index in chemical unicyclic graphs	79
Theoretical study on magneto-hydrodynamic squeeze film flow of piezo-viscous micropolar fluid between annular disks	78
Self-organization and evolution of structure and function in cultured neuronal networks	78
Stability, convergence, and energy preservation robust methods for fully implicit and fully explicit coupling schemes	77
A realizable chaotic system with interesting sets of equilibria, characteristics, and its underactuated predefined-time sliding mode control	76
Discrete scaling and criticality in a chain of adaptive excitable integrators	76
Environmental stochastic fluctuations lead to different evolutionary directions of strategies	76
The impact of memory reputation-induced tax and reward allocation on spatial public goods games	76
Manipulation of chaotic emission waveforms in semiconductor lasers via energy redistribution	76
Derivation of vertical concentration profile for nonuniform sediment in suspension using Shannon entropy	73
Fast detection of any-size communities based on van der Waals potential	73
Public goods game across multilayer populations with different densities	72
Finite-time synchronization for delayed BAM neural networks by the approach of the same structural functions	72
Dynamic analysis of a predator–prey model with anti-predator behavior and fear effect under a two-thresholds feedback control	72
Asymptotic behavior and a new comparison technique for solutions of delta fractional difference equations	71
Symmetry breaking phenomena in a network of nonlocally coupled tristable 2D Tagne Nkounga–Yamapi neuronal models	71
Evolution of cooperation through incomplete punishment under dynamic resource constraints	70
COVID-19 dynamics and immune response: Linking within-host and between-host dynamics	69
Ricci soliton and relativistic thermodynamical fluid spacetime	69
Threshold dynamics: Formulation, stability & sensitivity analysis of co-abuse model of heroin and smoking	69
Delta-shock solution for the nonhomogeneous Euler equations of compressible fluid flow with Born–Infeld equation of state	69
Explosive synchronization in multiplex multiple timescale networks with higher-order interactions	68
Emergent magnetic field and vector potential of the toroidal magnetic hopfions	68
Dynamical responses of a Gaussian colored noise-driven shape memory alloy oscillator with a periodic force	68
Generalized FitzHugh–Nagumo model with tristable dynamics: Deterministic and stochastic bifurcations	68
A novel similarity measure based on dispersion-transition matrix and Jensen–Fisher divergence and its application on the detection of rail short-wave defects	68
How multiple weak species jeopardise biodiversity in spatial rock–paper–scissors models	67
Multistability and bifurcation analysis for a three-strategy game system with public goods feedback and discrete delays	67
Optimal tuning of support vector machines and k-NN algorithm by using Bayesian optimization for newborn cry signal diagnosis based on audio signal processing features	67
Identifying influential nodes in social networks via improved Laplacian centrality	66
Impact of individual activity on behavior adoption in complex networks: A two-layer generalized SAR model analysis	66
Transformer operator network with fast difference gradient positive–negative momentum for solving Navier–Stokes equations	66
Manifestation of interval uncertainties for fractional differential equations under conformable derivative	66
Bursting oscillations with bifurcations of chaotic attractors in a modified Chua’s circuit	65
Sliding fast–slow dynamics in the slowly forced Duffing system with frequency switching	65

Experimental synchronization between neuroelectrical activity and an elementary electronic chaotic oscillator	65
Echo effect in brain networks	64
Empirical studies and topological implications of Fermat difference statistics for complex networks	64
Nonreciprocal unconventional photon blockade via Barnett effect in a hybrid cavity magnonic system	64
Chaotic Complex Hashing: A simple chaotic keyed hash function based on complex quadratic map	63
Measure attractors and measure evolution systems in high-order moment metric space for fractional stochastic Ginzburg–Landau equations on unbounded domains	63
The stability and collision dynamics of quantum droplets in PT-symmetric optical lattices	62
Design of chaotic Young's double slit experiment optimization heuristics for identification of nonlinear muscle model with key term separation	62
Evolutionary dynamics of threshold public goods games on random hypergraphs	61
Transformations of spike and burst oscillations in the stochastic Rulkov model	60
Optimal pruned tree-cut mapping-based fast shielding for large-scale networks	60
Temporal link prediction based on node dynamics	60
Energy level and coherence resonance in two memristive neurons in polarized electric field	59
A new five-dimensional non-Hamiltonian conservative hyperchaos system with multistability and transient properties	59
Discrete quantum droplets in one-dimensional binary Bose–Einstein condensates	59
Multi-vortex beams in nonlinear media with harmonic potential wells	59
A novel nonlinear automated multi-class skin lesion detection system using soft-attention based convolutional neural networks	59
Dynamics of non–identical coupled Chialvo neuron maps	58
Integral resonant negative derivative feedback suppression control strategy for nonlinear dynamic vibration behavior model	58
Feedback control of chaos in impact oscillator with multiple time-delays	58
Chaos control of fractional order nonlinear Bloch equation by utilizing sliding mode controller	58
Design of a novel memristor-modulated hyperchaotic map with differential variable input	58
Application of QGA-MCKD and stochastic feedback pooling network in variable-condition bearing diagnostics	57
Soliton, breather and rogue wave solutions of the higher-order modified Gerdjikov–Ivanov equation	57
Dynamical analysis, multi-cavity control and DSP implementation of a novel memristive autapse neuron model emulating brain behaviors	57
Stochastic dynamics of hysteresis systems under harmonic and Poisson excitations	57
Stability and controllability results of ψ-Hilfer fractional integro-d	57
Quantum dynamics of qutrit systems driven by the local non-Hermitian Hamiltonian	56
A multifractal formalism for new general fractal measures	56
Spiking and bursting activities in an NLAM-based CNN cell	56
A simple interpolative contraction approach for analyzing existence and uniqueness of solutions in the fractional-order King Cobra model	56
A new intervention strategy for an HIV/AIDS transmission by a general fractional modeling and an optimal control approach	55
Structural transition on partial edge-based growing graph	55
Detecting quantum hacking attacks for continuous-variable quantum key distribution using quantum neural network	55
Time-delay neural network observer-based adaptive finite-time prescribed performance control for nonlinear systems with unknown time-delay	55
Lump and soliton on certain spatially-varying backgrounds for an integrable (3+1) dimensional fifth-order nonlinear oceanic wave model	55
Coupling resonance of signal responses induced by heterogeneously mixed positive and negative couplings in cognitive subnetworks	54
Generation and control of grid multi-vortex attractors in memristive Hopfield neural network	53
Supporting punishment via taxation in a structured population	53
Mathematical modeling of operation loop ratio and its effect in combat networks	53
Efficient hybrid PageRank centrality computation for multilayer networks	52
Spiraling elliptic beam arrays in strongly nonlocal nonlinear media	52
Conservation laws and some new exact solutions for traffic flow model via symmetry analysis	52
PPO-ACT: Proximal policy optimization with adversarial curriculum transfer for spatial public goods games	52
Mechanisms of semantic communication of information and dynamics of complex systems. Application to financial markets	51
The dynamical analysis of non-uniform neocortical network model in up-down state oscillations	51
A novel blood glucose time series prediction framework based on a novel signal decomposition method	51
Nonlinear dynamics of gap solitons in SOC-BECs trapped in a deformed honeycomb optical lattice	51
Nondegenerate three-hump solitons for the nonlinear Schrödinger equations in optics	51
Traffic-driven explosive synchronization with adaptive local routing in complex networks	51
Coevolutionary dynamics of feedback-evolving games in structured populations	50
Modulating propagation of Parkinsonian beta oscillations with transcranial direct current stimulation: A computational study	50
Stochastic admissibility and H∞	50
A rumor propagation model in multilingual environment with time and state dependent impulsive control	50
Impact of positive and negative information on epidemic spread in a three-layer network	50
Improved results of asynchronous mixed H	49
Partition independent control and collaborative optimization of high-density crowd in subway stations	49
A study of bidirectional control of Parkinson’s beta oscillations by basal ganglia	49
Critical station identification and robustness analysis of urban rail transit networks based on comprehensive vote-rank algorithm	49
A unified Maxwell model with time-varying viscosity via ψ-Caputo fr	49
Heterogeneous parallel computing based real-time chaotic video encryption and its application to drone-oriented secure communication	48
Dynamical and topological conditions triggering the spontaneous activation of Izhikevich neuronal networks	48
Stochastically drifted Brownian motion for self-propelled particles	48
Symmetric and asymmetric bursting oscillations in a hybrid van der Pol-Duffing-Rayleigh system	48
Early warning signal of abrupt change in sea level pressure based on changing spectral exponent	48
Management of the discrete eigenvalues of the nonlinear Schrödinger equation using periodic dispersion perturbation	48
Probabilistic analysis of the steady state of weakly perturbed linear oscillators subject to a class of Gaussian inputs	48
Random attractors for fractional stochastic reaction–diffusion systems with fractional Brownian motion	47
Editorial Board	47
Long- and short-term effects of cross-immunity in epidemic dynamics	47
A visit generation process for human mobility random graphs with location-specific latent-variables: From land use to travel demand	47
Pseudo-phase difference guides additional connection between oscillators for synchrony	47
Effect of nonlinearity of discrete Langevin model on behavior of extremes in generated time series	47
Stationary pattern emergence in reaction–diffusion systems with unstable equilibria and Lienard kinetics	47
Bifurcation analysis of a non linear 6D financial system with three time delay feedback	47
Vector annular rogue wave quartets and sextets	46
Analytical solutions for the short-term plasticity	46
Effect of heterogeneities in two-populations of globally coupled phase oscillators with higher-order interaction	46
Recent outcomes in time-dependent driven polymer translocation: A brief review	46
Cold-start link prediction integrating community information via multi-nonnegative matrix factorization	46

New coherent structures and interaction behavior for the new (	46
Mathematical analysis of global dynamics and optimal control of treatment for an age-structured HBV infection model	46
Epidemic dynamics in homes and destinations under recurrent mobility patterns	46
Emotion-driven switching game environments facilitates general cooperation	45
Fraction-order sideband generation in a driven magnomechanical system	45
Dark and antidark solitons on continuous and doubly periodic backgrounds in the space-shifted nonlocal nonlinear Schrödinger equation	45
A chaotic two-dimensional image classification algorithm based on convolutional neural networks	45
A flexible-predefined-time convergence and noise-suppression ZNN for solving time-variant Sylvester equation and its application to robotic arm	45
Emergent coordination without symmetry breaking in Minority Game via policy-based reinforcement learning	45
Dynamical analysis, synchronization of chaos, and soliton solutions of a nonlinear (3+1)-dimensional extension of KdV equation with second-order time-derivative	45
Analyzing the stability of fractal delay differential equations	45
Neuromorphic dynamics near the edge of chaos in memristive neurons	45
Time scale governs explosive transitions in two-layer multiplex networks	45
Quasi-projective synchronization of inertial complex-valued recurrent neural networks with mixed time-varying delay and mismatched parameters	44
Dynamics and vibration suppression of resting tremor based on inertial nonlinear energy sink	44
Flatness-based real-time control of experimental analog chaotic oscillators	44
Dynamic behaviors of multiple-solitons in a magnetized dusty plasma	44
Tunable optomechanically induced transparency and Fano resonances in a hybrid whispering gallery mode-magnon system	44
Simulation of non-transmural ablation lines that effectively block electrical signal propagation in the heart	44
Pinning synchronization of multiple fractional-order fuzzy complex-valued delayed spatiotemporal neural networks	44
Geometric phase and Wehrl phase entropy for two superconducting qubits in a coherent field system under the effect of nonlinear medium	44
Analysis of threshold Ornstein–Uhlenbeck process with piecewise linear drift and piecewise constant diffusion	44
Heterogeneous propagation processes between awareness and epidemic on signed multiplex networks	43
Pulsating pure-quartic solitons with spectral asymmetry in an ultrafast fiber laser	43
Stability and adaptive control-based synchronization of delayed uncertain fractional-order gene regulatory networks	43
Radially inflows and outflows of non-Newtonian Ree-Eyring fluid between two narrow disks with temperature-dependent viscosity	43
Forecasting countries' gross domestic product from patent data	43
Learning the chaotic and regular nature of trajectories in Hamiltonian systems with Lagrangian descriptors	43
Growth feedback confers cooperativity in resource-competing synthetic gene circuits	43
On the localization of Hutchinson–Barnsley fractals	43
Self-sustaining chaotic characteristics of liquid crystal elastomer pendulum under different linear temperature fields	43
Multi-scroll memristive tabu learning neural network with saddle-type equilibria	42
Neural network models and shapley additive explanations for a beam-ring structure	42
Emergence of relaxation beat-waves in genuinely nonlinear Klein-Gordon chain with bi-harmonic parametric excitation	42
Scaling properties of a class of interfacial singular equations	42
Geometry-aware reservoirs: Patch-wise Jacobian lifting with cross-patch couplings for piecewise-linear modelling of chaotic flows	42
Magnetization reversal phenomenon of higher-order lump and mixed interaction structures on periodic background in the (2+1)-dimensional Heisenberg ferromagnet spin equation	42
The linear and nonlinear stability of double diffusive convection with nonlinear Boussinesq approximation and vertical throughflow	42
Existence of chaos in controlled first-order partial difference equations with general delay controllers	42
A new conservative chaotic system and its application in image encryption	42
Chaos quasi-opposition sea-horse based modified new tilt controller designed for multi-area deregulated AGC using deep learning against cyber-attacks	42
Successive lag synchronization of heterogeneous distributed-order coupled neural networks with unbounded delayed coupling	42
Nonlinear modeling of sparkling drink bubbles using a physics informed long short term memory network	42
Stringency without efficiency is not adequate to combat pandemics	42
Global multistability and mechanisms of a memristive autapse-based Filippov Hindmash-Rose neuron model	42
LMI based stability condition for delta fractional order system with sector approximation	41
Multi-byte side-channel attacks on chaotic block cipher: Autoencoder-based feature selection and CNN-Transformer collaborative attack framework	41
Scaling properties and height distributions of persisting roughness in the discrete growth models in the presence of the angle of repose	41
Improving the small-signal stability of a stochastic power system — Algorithms and mathematical analysis	41
Editorial Board	41
A stochastic hormesis Ricker model and its application to multiple fields	41
Comment on “Dynamical complexity in a discrete tri-trophic Rosenzweig–MacArthur system: Bifurcations, chaos and hybrid control” [Chaos, Solitons and Fractals 201(2025) 117234]	41
A statistical moment-based spectral approach to the chance-constrained stochastic optimal control of epidemic models	41
An optimized and interpretable carbon price prediction: Explainable deep learning model	41
Nonlinear wave excitations in the (2+1)-D asymmetric Nizhnik-Novikov-Veselov system	41
Statistics of remote regions of networks	41
Nonlinear ψ	41
Charging free fermion quantum batteries	40
Memristive CNN with multi-butterfly attractors: Mathematical modeling, dynamics analysis and application in secure communication	40
Kernel based physics-informed machine learning for approximating CEV model under nonlinear volatility regimes in real-world financial environments	40
Turing patterns in systems with high-order interactions	40
Effects of dynamic probabilistic punishment with environmental threshold on cooperation in spatial public goods games	40
Routes to chaos and bistability in the Rypdal model with a parametric disturbance	40
Polarized electric field-induced drift of spiral waves in discontinuous cardiac media	40
Suppression mechanism of vortex-induced vibrations using non-linear energy sink with inerter based mechanical networks	40
Stability analysis of an axially moving viscoelastic beam under transverse magnetic fields and thermal loads	39
Competition of alliances in a cyclically dominant eight-species population	39
Controllability of Hilfer fractional neutral impulsive stochastic delayed differential equations with nonlocal conditions	39
A sparse regression framework for governing equation discovery in nonlinear optical dynamics	39
Nonlinear Rayleigh-Bénard magnetoconvection of a weakly electrically conducting Newtonian liquid in shallow cylindrical enclosures	39
Dispersion entropy for graph signals	39
Propagation phenomenon for bistable parabolic equation in space-periodic environment	39
Chaos emerges from coexisting homoclinic cycles for a class of 3D piecewise systems	38
Unidirectional dynamics in translationally coupled bistable systems: Waves, fronts, and self-organization	38
Ephemeral connections, persistent effects: Cooperation dynamics in temporal networks with historical interactions	38
The classical and quantum two-center harmonic-like problem	38
Concentration and cavitation in the Euler equations for nonisentropic fluids with ideal polytropic dusty gas	38
Remarkable results obtained when studying a question concerning the invariant set of an IFS	38
Stochastic volatility model with long memory for water quantity-quality dynamics	38
The chaotic, self-similar and hierarchical patterns in Bitcoin and Ethereum price series	38
Phase transitions in operation of heterogeneous vehicles mixed with human-driven and connected autonomous vehicles under speed restriction circumstances	38
Qualitative analysis on a reaction–diffusion SIS epidemic model with nonlinear incidence and Dirichlet boundary	38
An innovative orthogonal matrix based on nonlinear chaotic system for compressive sensing	38
Complete aging in the noisy voter model enhances consensus formation	38
Bifurcation evolution, frequency analysis and FPGA implementation in a tabu learning neuron system	38
Numerical approach and physical description for a two-capacitive neuron and its adaptive network dynamics	38
Rigorous pointwise approximations of invariant densities for intermittent maps with a critical point	38
Three-dimensional m-HR neuron model and its application in medical image encryption	37
Quantifying predictive knowledge: Wavelet energy α-divergence measu	37
Dynamics of chirped similaritons on a continuous-wave background in weakly birefringent optical fibers	37
Enhancing robustness of higher-order networks with community structures through strategic edge addition	37
Exploring ring dark soliton dynamics in Rydberg-dressed Bose–Einstein condensate	37
Control energy scaling for target control of complex networks	37
Filtering induced explosive death in coupled FitzHugh–Nagumo neurons: Theory and experiment	37
Exploring the relationship between the spatial distribution of roads and universal pattern of travel-route efficiency in urban road networks	37