Chaos Solitons & Fractals

Article	Citations
Dynamics by control strategies targeting the effective reproduction number	204
A novel similarity measure based on dispersion-transition matrix and Jensen–Fisher divergence and its application on the detection of rail short-wave defects	153
The stability and collision dynamics of quantum droplets in PT-symmetric optical lattices	142
Editorial Board	132
Role of myocardial ischemia components in overdrive pacing of spiral waves	128
Efficient hybrid PageRank centrality computation for multilayer networks	122
Chaos control of fractional order nonlinear Bloch equation by utilizing sliding mode controller	121
Small groups nurturing collective wisdom: The punishment-prediction reinforcement learning mechanism for multi-group cooperation	120
Spiraling elliptic beam arrays in strongly nonlocal nonlinear media	120
Site-controlled gain-loss managed solitons in the nonlinear Schrӧdinger equation with complex potential wells	111
Ricci soliton and relativistic thermodynamical fluid spacetime	108
Lump and soliton on certain spatially-varying backgrounds for an integrable (3+1) dimensional fifth-order nonlinear oceanic wave model	108
Action potential solitons and waves in axons	107
Wada boundaries on a hyperbolic pair of pants	105
Transformations of spike and burst oscillations in the stochastic Rulkov model	104
The dynamical analysis of non-uniform neocortical network model in up-down state oscillations	104
Dissipative solitons stabilized by nonlinear gradients in one spatial dimension: From deterministic to stochastic aspects, and a perspective	103
Comment on “Non-integrability of the Trapped Ionic System”. by Georgi Georgiev	103
Stabilization of multi-link delayed neutral-type complex networks with jump diffusion via aperiodically intermittent control	97
Explosive synchronization in multiplex multiple timescale networks with higher-order interactions	96
Non-periodic intermittent stochastic control for SVIQR epidemic model on complex network with saturation incidence rate	95
Hopf bifurcation of the recurrent infectious disease model with disease age and two delays	89
Stochastic optimal control and piecewise parameterization and optimization method for inventory control system improvement	89
Driven transitions between megastable quantized orbits	89
Mathematical modeling of operation loop ratio and its effect in combat networks	89

Bursting oscillations with bifurcations of chaotic attractors in a modified Chua’s circuit	88
Public goods game across multilayer populations with different densities	88
Robustness of the absolute Rosenau–Hyman |K	88
Controlling chaotic oscillations in a symmetric two-mass model of the vocal folds	87
Traffic-driven explosive synchronization with adaptive local routing in complex networks	87
Large deviations approach to a one-dimensional, time-periodic stochastic model of pattern formation	84
Applying chaos indicators to Bianchi cosmological models	84
An application of fixed point technique of Rothe’s-type to interpret the controllability criteria of neutral nonlinear fractional ordered impulsive system	83
Nonlinear resonances in fast electronic circuits mimicking photonic oscillators	82
Fractal correlations in the Covid-19 genome sequence via multivariate rescaled range analysis	82
Coupling resonance of signal responses induced by heterogeneously mixed positive and negative couplings in cognitive subnetworks	81
Generation and control of grid multi-vortex attractors in memristive Hopfield neural network	81
Environmental stochastic fluctuations lead to different evolutionary directions of strategies	80
Dynamical and topological conditions triggering the spontaneous activation of Izhikevich neuronal networks	80
Solution of non-autonomous impulsive evolution equation in reflexive Banach spaces	79
Manifestation of interval uncertainties for fractional differential equations under conformable derivative	78
Application of QGA-MCKD and stochastic feedback pooling network in variable-condition bearing diagnostics	78
Time series analysis of wildfire propagation in Chile: A complex networks approach	78
Optimal pruned tree-cut mapping-based fast shielding for large-scale networks	78
Identifying influential nodes in social networks via improved Laplacian centrality	77
Critical station identification and robustness analysis of urban rail transit networks based on comprehensive vote-rank algorithm	77
Generalized FitzHugh–Nagumo model with tristable dynamics: Deterministic and stochastic bifurcations	76
On symmetric gH-derivative: Applications to dual interval-valued optimization problems	76
A rumor propagation model in multilingual environment with time and state dependent impulsive control	75
Evolutionary dynamics of threshold public goods games on random hypergraphs	75
Stochastic dynamics of hysteresis systems under harmonic and Poisson excitations	75
Multi-vortex beams in nonlinear media with harmonic potential wells	74
Modulating propagation of Parkinsonian beta oscillations with transcranial direct current stimulation: A computational study	74
PPO-ACT: Proximal policy optimization with adversarial curriculum transfer for spatial public goods games	73
Transport and Fano resonance in a one-dimensional weakly-interacting periodically driven fermionic system	73
Expanding the duopoly Stackelberg game with marginal costs into a multipoly game with lowering the burden of mathematical calculations: a numerical analysis	72
Echo effect in brain networks	72
COVID-19 dynamics and immune response: Linking within-host and between-host dynamics	71
Transformer operator network with fast difference gradient positive–negative momentum for solving Navier–Stokes equations	70
Turing–Hopf bifurcation in a general Selkov–Schnakenberg reaction–diffusion system	70
Mechanisms of semantic communication of information and dynamics of complex systems. Application to financial markets	68
How multiple weak species jeopardise biodiversity in spatial rock–paper–scissors models	68
Filtered rays over iterated absolute differences on layers of integers	68
Improved results of asynchronous mixed H	68
Heterogeneous parallel computing based real-time chaotic video encryption and its application to drone-oriented secure communication	68
Experimental synchronization between neuroelectrical activity and an elementary electronic chaotic oscillator	67
Competition of punishment and reward among inequity-averse individuals in spatial public goods games	67
Design of a novel memristor-modulated hyperchaotic map with differential variable input	67
Measure attractors and measure evolution systems in high-order moment metric space for fractional stochastic Ginzburg–Landau equations on unbounded domains	66
Dynamic model of vibrating plate coupled with a granule bed	66
Structural transition on partial edge-based growing graph	65
Epidemic spreading in populations of mobile agents with adaptive behavioral response	65
A simple interpolative contraction approach for analyzing existence and uniqueness of solutions in the fractional-order King Cobra model	65
Effects of multiphysics coupling on stability and chaotic dynamics in a centrifugal pendulum vibration absorber	64
Spiking and bursting activities in an NLAM-based CNN cell	64

Multistability and bifurcation analysis for a three-strategy game system with public goods feedback and discrete delays	64
Sliding fast–slow dynamics in the slowly forced Duffing system with frequency switching	63
Nondegenerate three-hump solitons for the nonlinear Schrödinger equations in optics	63
Derivation of vertical concentration profile for nonuniform sediment in suspension using Shannon entropy	63
Large-scale robustness-oriented efficient edge addition through traversal tree-based weak edge identification	63
A unified Maxwell model with time-varying viscosity via ψ-Caputo fr	63
Impact of individual activity on behavior adoption in complex networks: A two-layer generalized SAR model analysis	63
Chirped periodic waves for an cubic-quintic nonlinear Schrödinger equation with self steepening and higher order nonlinearities	62
Chaotic Complex Hashing: A simple chaotic keyed hash function based on complex quadratic map	62
Stability and controllability results of ψ-Hilfer fractional integro-d	62
Dynamical responses of a Gaussian colored noise-driven shape memory alloy oscillator with a periodic force	62
A new intervention strategy for an HIV/AIDS transmission by a general fractional modeling and an optimal control approach	62
Discrete quantum droplets in one-dimensional binary Bose–Einstein condensates	62
Nonlinear dynamics of gap solitons in SOC-BECs trapped in a deformed honeycomb optical lattice	61
Partition independent control and collaborative optimization of high-density crowd in subway stations	61
Conservation laws and some new exact solutions for traffic flow model via symmetry analysis	61
Manipulation of chaotic emission waveforms in semiconductor lasers via energy redistribution	61
Analytical derivation of delayed prey–predator model with hunting-and-resting delay	61
Controlling COVID-19 transmission with isolation of influential nodes	61
DC-offset-induced hidden and asymmetric dynamics in Memristive Chua's circuit	61
Bifurcation and resonance of fractional cubic nonlinear system	60
Dynamical analysis, multi-cavity control and DSP implementation of a novel memristive autapse neuron model emulating brain behaviors	60
Discrete scaling and criticality in a chain of adaptive excitable integrators	59
Temporal link prediction based on node dynamics	59
Design of chaotic Young's double slit experiment optimization heuristics for identification of nonlinear muscle model with key term separation	59
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	58
Stability, convergence, and energy preservation robust methods for fully implicit and fully explicit coupling schemes	58
Finite-time synchronization for delayed BAM neural networks by the approach of the same structural functions	58
Aging transition under discrete time-dependent coupling: Restoring rhythmicity from aging	57
Symmetric and asymmetric bursting oscillations in a hybrid van der Pol-Duffing-Rayleigh system	57
Impact of positive and negative information on epidemic spread in a three-layer network	57
A new five-dimensional non-Hamiltonian conservative hyperchaos system with multistability and transient properties	57
Stochastic admissibility and H∞	56
Stable higher-charge vortex droplets governed by quantum fluctuations in three dimensions	55
Nonreciprocal unconventional photon blockade via Barnett effect in a hybrid cavity magnonic system	55
Multi-affine visible height correlation analysis for revealing rich structures of fractal time series	55
Feedback control of chaos in impact oscillator with multiple time-delays	55
Time-delay neural network observer-based adaptive finite-time prescribed performance control for nonlinear systems with unknown time-delay	54
Delta-shock solution for the nonhomogeneous Euler equations of compressible fluid flow with Born–Infeld equation of state	54
Coevolutionary dynamics of feedback-evolving games in structured populations	54
Security-enhanced coherent optical chaotic secure communication based on linearly coupled reservoir computing	53
Comprehensive analysis of network robustness evaluation based on convolutional neural networks with spatial pyramid pooling	53
Detecting quantum hacking attacks for continuous-variable quantum key distribution using quantum neural network	53
Antisocial behavior-based environmental feedback in spatial prisoner's dilemma game	53
Quantum dynamics of qutrit systems driven by the local non-Hermitian Hamiltonian	53
Maintenance and collapse of cooperation driven by bounded rationality in structured populations	53
Threshold dynamics: Formulation, stability & sensitivity analysis of co-abuse model of heroin and smoking	52
A multifractal formalism for new general fractal measures	52
A hybrid artificial neural network for the generation of critical fluctuations and inter-spike intervals	52
Large time behavior in a reaction diffusion epidemic model with logistic source	52
The impact of memory reputation-induced tax and reward allocation on spatial public goods games	52
Supporting punishment via taxation in a structured population	52
Energy level and coherence resonance in two memristive neurons in polarized electric field	52
Unknown-input pseudo-state observer synthesis for fractional-order systems: A geometric framework	52
Empirical studies and topological implications of Fermat difference statistics for complex networks	52
A novel nonlinear automated multi-class skin lesion detection system using soft-attention based convolutional neural networks	52
A study of bidirectional control of Parkinson’s beta oscillations by basal ganglia	51
Soliton, breather and rogue wave solutions of the higher-order modified Gerdjikov–Ivanov equation	51
Self-organization and evolution of structure and function in cultured neuronal networks	51
Multifractal risk measures by Macroeconophysics perspective: The case of Brazilian inflation dynamics	50
Keeping or reversing social norms promote cooperation by enhancing indirect reciprocity	50
Emergent magnetic field and vector potential of the toroidal magnetic hopfions	50
A realizable chaotic system with interesting sets of equilibria, characteristics, and its underactuated predefined-time sliding mode control	50
A novel blood glucose time series prediction framework based on a novel signal decomposition method	50
Dynamics of non–identical coupled Chialvo neuron maps	49
Integral resonant negative derivative feedback suppression control strategy for nonlinear dynamic vibration behavior model	49
Controllability of Hilfer fractional neutral impulsive stochastic delayed differential equations with nonlocal conditions	49
Topological properties and wave structures of Gilson–Pickering equation	49
Management of the discrete eigenvalues of the nonlinear Schrödinger equation using periodic dispersion perturbation	49
An innovative orthogonal matrix based on nonlinear chaotic system for compressive sensing	48
Stochastically drifted Brownian motion for self-propelled particles	48
Routes to chaos and bistability in the Rypdal model with a parametric disturbance	48
A chaotic two-dimensional image classification algorithm based on convolutional neural networks	48
Dynamics of bouncing convex body	48
Control energy scaling for target control of complex networks	47
Effect of heterogeneities in two-populations of globally coupled phase oscillators with higher-order interaction	47
Probabilistic analysis of the steady state of weakly perturbed linear oscillators subject to a class of Gaussian inputs	47
Early warning signal of abrupt change in sea level pressure based on changing spectral exponent	47
Qualitative analysis on a reaction–diffusion SIS epidemic model with nonlinear incidence and Dirichlet boundary	47
Pseudo-phase difference guides additional connection between oscillators for synchrony	46

Vector annular rogue wave quartets and sextets	46
New coherent structures and interaction behavior for the new (	46
Dispersion entropy for graph signals	45
The classical and quantum two-center harmonic-like problem	45
A visit generation process for human mobility random graphs with location-specific latent-variables: From land use to travel demand	45
Dynamically selected steady states and criticality in non-reciprocal networks	45
Emergence of relaxation beat-waves in genuinely nonlinear Klein-Gordon chain with bi-harmonic parametric excitation	45
Analysis of threshold Ornstein–Uhlenbeck process with piecewise linear drift and piecewise constant diffusion	45
A sparse regression framework for governing equation discovery in nonlinear optical dynamics	45
Analyzing the stability of fractal delay differential equations	45
Stochastic volatility model with long memory for water quantity-quality dynamics	45
Improving the small-signal stability of a stochastic power system — Algorithms and mathematical analysis	44
Nonlinear Rayleigh-Bénard magnetoconvection of a weakly electrically conducting Newtonian liquid in shallow cylindrical enclosures	44
Combination of fractional-order, adaptive second order and non-singular terminal sliding mode controls for dynamical systems with uncertainty and under-actuation property	44
A stochastic hormesis Ricker model and its application to multiple fields	44
Random attractors for fractional stochastic reaction–diffusion systems with fractional Brownian motion	43
Remarkable results obtained when studying a question concerning the invariant set of an IFS	43
Geometry-aware reservoirs: Patch-wise Jacobian lifting with cross-patch couplings for piecewise-linear modelling of chaotic flows	43
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 Fra	43
Stringency without efficiency is not adequate to combat pandemics	43
Synchronization of directly coupled complex networks with multiweights and multiple delays	43
Forecasting countries' gross domestic product from patent data	43
Global multistability and mechanisms of a memristive autapse-based Filippov Hindmash-Rose neuron model	43
Scaling properties and height distributions of persisting roughness in the discrete growth models in the presence of the angle of repose	43
Effects of dynamic probabilistic punishment with environmental threshold on cooperation in spatial public goods games	43
Statistics of remote regions of networks	42
Mathematical analysis of global dynamics and optimal control of treatment for an age-structured HBV infection model	42
Editorial Board	42
Scaling properties of a class of interfacial singular equations	42
Exploring ring dark soliton dynamics in Rydberg-dressed Bose–Einstein condensate	42
Data-driven fault-tolerant control for nonlinear systems with output saturation	42
LMI based stability condition for delta fractional order system with sector approximation	42
Overcoming the snaking instability and nucleation of dark solitons in nonlinear Kerr media by spatially inhomogeneous defocusing nonlinearity	42
“Phase transitions” in small systems: Why standard threshold definitions fail for nanolasers	42
A statistical moment-based spectral approach to the chance-constrained stochastic optimal control of epidemic models	42
Existence of chaos in controlled first-order partial difference equations with general delay controllers	42
Scalar and vector electromagnetic solitary waves in nonlinear hyperbolic media	42
Nonlinear wave excitations in the (2+1)-D asymmetric Nizhnik-Novikov-Veselov system	42
A novel approach to estimated Boulingand-Minkowski fractal dimension from complex networks	42
Pulsating pure-quartic solitons with spectral asymmetry in an ultrafast fiber laser	42
On the localization of Hutchinson–Barnsley fractals	41
Dynamic behaviors of multiple-solitons in a magnetized dusty plasma	41
Quasi-projective synchronization of inertial complex-valued recurrent neural networks with mixed time-varying delay and mismatched parameters	41
Bifurcation analysis of a non linear 6D financial system with three time delay feedback	41
Phase transitions in operation of heterogeneous vehicles mixed with human-driven and connected autonomous vehicles under speed restriction circumstances	41
A flexible-predefined-time convergence and noise-suppression ZNN for solving time-variant Sylvester equation and its application to robotic arm	41
Filtering induced explosive death in coupled FitzHugh–Nagumo neurons: Theory and experiment	41
Geometric phase and Wehrl phase entropy for two superconducting qubits in a coherent field system under the effect of nonlinear medium	41
Obesity and Alzheimer’s: An attempt to decipher the role of obesity in blood–brain barrier degradation	41
Nonlinear modeling of sparkling drink bubbles using a physics informed long short term memory network	41
Complete aging in the noisy voter model enhances consensus formation	40
pynamicalsys: A Python toolkit for the analysis of dynamical systems	40
Implementation of q-calculus on q-integro-differential equation involving anti-periodic boundary conditions with three criteria	40
Multi-byte side-channel attacks on chaotic block cipher: Autoencoder-based feature selection and CNN-Transformer collaborative attack framework	40
Flatness-based real-time control of experimental analog chaotic oscillators	40
Propagation phenomenon for bistable parabolic equation in space-periodic environment	40
Rigorous pointwise approximations of invariant densities for intermittent maps with a critical point	40
Effect of nonlinearity of discrete Langevin model on behavior of extremes in generated time series	40
Neuromorphic dynamics near the edge of chaos in memristive neurons	40
Dynamics of chirped similaritons on a continuous-wave background in weakly birefringent optical fibers	40
Kernel based physics-informed machine learning for approximating CEV model under nonlinear volatility regimes in real-world financial environments	40
Simulation of non-transmural ablation lines that effectively block electrical signal propagation in the heart	40
Long- and short-term effects of cross-immunity in epidemic dynamics	40
The linear and nonlinear stability of double diffusive convection with nonlinear Boussinesq approximation and vertical throughflow	40
Dynamic analysis and bursting oscillation control of fractional-order permanent magnet synchronous motor system	39
Chaos emerges from coexisting homoclinic cycles for a class of 3D piecewise systems	39
Radially inflows and outflows of non-Newtonian Ree-Eyring fluid between two narrow disks with temperature-dependent viscosity	39
Fixed-time nonlinear-filter-based consensus control for nonlinear multiagent systems	39
A novel simultaneous permutation–diffusion image encryption scheme based on a discrete space map	39
Editorial Board	39
Exploring the relationship between the spatial distribution of roads and universal pattern of travel-route efficiency in urban road networks	39
Analytical solutions for the short-term plasticity	39
Magnetization reversal phenomenon of higher-order lump and mixed interaction structures on periodic background in the (2+1)-dimensional Heisenberg ferromagnet spin equation	39
Fraction-order sideband generation in a driven magnomechanical system	39
Successive lag synchronization of heterogeneous distributed-order coupled neural networks with unbounded delayed coupling	38
Nonlinear ψ	38
The chaotic, self-similar and hierarchical patterns in Bitcoin and Ethereum price series	38
Numerical approach and physical description for a two-capacitive neuron and its adaptive network dynamics	38
De Broglie waves and nuclear element interaction; Abundant waves structures of the nonlinear fractional Phi-four equation	38
Three-dimensional m-HR neuron model and its application in medical image encryption	38
A study on Zika–Dengue coinfection model with microcephaly newborn dynamics	38
Comment on “Dynamical complexity in a discrete tri-trophic Rosenzweig–MacArthur system: Bifurcations, chaos and hybrid control” [Chaos, Solitons and Fractals 201(2025) 117234]	38
Emergent coordination without symmetry breaking in Minority Game via policy-based reinforcement learning	38
Cold-start link prediction integrating community information via multi-nonnegative matrix factorization	37
Pure-quartic soliton self-frequency shift in a mode-locked fiber laser	37
Concentration and cavitation in the Euler equations for nonisentropic fluids with ideal polytropic dusty gas	37
Stability and adaptive control-based synchronization of delayed uncertain fractional-order gene regulatory networks	37
How colored noise impacts excitation and suppression of calcium oscillations: Stochastic sensitivity analysis	37
Learning the chaotic and regular nature of trajectories in Hamiltonian systems with Lagrangian descriptors	37
Pattern Formation and analysis of reaction–diffusion ratio-dependent prey–predator model with harvesting in predator	37
Stability of delayed switched systems involving impulses: State-dependent switching control approach	37
Global dynamics of ILSR rumor spreading model with general nonlinear spreading rate in multi-lingual environment	37
Heterogeneous propagation processes between awareness and epidemic on signed multiplex networks	37
Polarized electric field-induced drift of spiral waves in discontinuous cardiac media	37
Stability analysis of an axially moving viscoelastic beam under transverse magnetic fields and thermal loads	37