Chaos Solitons & Fractals

Article	Citations
Dynamics by control strategies targeting the effective reproduction number	199
The stability and collision dynamics of quantum droplets in PT-symmetric optical lattices	161
Role of myocardial ischemia components in overdrive pacing of spiral waves	140
Editorial Board	140
Small groups nurturing collective wisdom: The punishment-prediction reinforcement learning mechanism for multi-group cooperation	129
Site-controlled gain-loss managed solitons in the nonlinear Schrӧdinger equation with complex potential wells	128
Action potential solitons and waves in axons	126
Transformations of spike and burst oscillations in the stochastic Rulkov model	123
Wada boundaries on a hyperbolic pair of pants	123
Dissipative solitons stabilized by nonlinear gradients in one spatial dimension: From deterministic to stochastic aspects, and a perspective	120
Non-periodic intermittent stochastic control for SVIQR epidemic model on complex network with saturation incidence rate	116
Conservation laws and some new exact solutions for traffic flow model via symmetry analysis	114
Multifractal risk measures by Macroeconophysics perspective: The case of Brazilian inflation dynamics	107
A novel nonlinear automated multi-class skin lesion detection system using soft-attention based convolutional neural networks	107
Spiraling elliptic beam arrays in strongly nonlocal nonlinear media	107
Traffic-driven explosive synchronization with adaptive local routing in complex networks	105
Feedback control of chaos in impact oscillator with multiple time-delays	102
PPO-ACT: Proximal policy optimization with adversarial curriculum transfer for spatial public goods games	102
A novel blood glucose time series prediction framework based on a novel signal decomposition method	101
Nondegenerate three-hump solitons for the nonlinear Schrödinger equations in optics	99
The dynamical analysis of non-uniform neocortical network model in up-down state oscillations	97
Spiking and bursting activities in an NLAM-based CNN cell	97
On symmetric gH-derivative: Applications to dual interval-valued optimization problems	95
Integral resonant negative derivative feedback suppression control strategy for nonlinear dynamic vibration behavior model	93
Coevolutionary dynamics of feedback-evolving games in structured populations	93

Controlling chaotic oscillations in a symmetric two-mass model of the vocal folds	92
Design of chaotic Young's double slit experiment optimization heuristics for identification of nonlinear muscle model with key term separation	92
Nonlinear dynamics of gap solitons in SOC-BECs trapped in a deformed honeycomb optical lattice	91
Energy level and coherence resonance in two memristive neurons in polarized electric field	91
Design of a novel memristor-modulated hyperchaotic map with differential variable input	90
Stochastic optimal control and piecewise parameterization and optimization method for inventory control system improvement	89
Driven transitions between megastable quantized orbits	86
Large deviations approach to a one-dimensional, time-periodic stochastic model of pattern formation	85
Robustness of the absolute Rosenau–Hyman |K	85
Applying chaos indicators to Bianchi cosmological models	85
Hopf bifurcation of the recurrent infectious disease model with disease age and two delays	85
Fractal correlations in the Covid-19 genome sequence via multivariate rescaled range analysis	83
An application of fixed point technique of Rothe’s-type to interpret the controllability criteria of neutral nonlinear fractional ordered impulsive system	83
Dynamical and topological conditions triggering the spontaneous activation of Izhikevich neuronal networks	83
A hybrid artificial neural network for the generation of critical fluctuations and inter-spike intervals	81
Solution of non-autonomous impulsive evolution equation in reflexive Banach spaces	81
DC-offset-induced hidden and asymmetric dynamics in Memristive Chua's circuit	80
Stability, convergence, and energy preservation robust methods for fully implicit and fully explicit coupling schemes	79
Analytical derivation of delayed prey–predator model with hunting-and-resting delay	78
Stabilization of multi-link delayed neutral-type complex networks with jump diffusion via aperiodically intermittent control	77
Manipulation of chaotic emission waveforms in semiconductor lasers via energy redistribution	76
Comprehensive analysis of network robustness evaluation based on convolutional neural networks with spatial pyramid pooling	76
A realizable chaotic system with interesting sets of equilibria, characteristics, and its underactuated predefined-time sliding mode control	75
Discrete scaling and criticality in a chain of adaptive excitable integrators	75
Empirical studies and topological implications of Fermat difference statistics for complex networks	75
A new intervention strategy for an HIV/AIDS transmission by a general fractional modeling and an optimal control approach	74
Chaotic Complex Hashing: A simple chaotic keyed hash function based on complex quadratic map	73
A study of bidirectional control of Parkinson’s beta oscillations by basal ganglia	72
Supporting punishment via taxation in a structured population	71
Efficient hybrid PageRank centrality computation for multilayer networks	71
Nonreciprocal unconventional photon blockade via Barnett effect in a hybrid cavity magnonic system	71
Temporal link prediction based on node dynamics	70
Mathematical modeling of operation loop ratio and its effect in combat networks	69
Generation and control of grid multi-vortex attractors in memristive Hopfield neural network	69
Mechanisms of semantic communication of information and dynamics of complex systems. Application to financial markets	69
Detecting quantum hacking attacks for continuous-variable quantum key distribution using quantum neural network	68
Critical station identification and robustness analysis of urban rail transit networks based on comprehensive vote-rank algorithm	68
A multifractal formalism for new general fractal measures	68
Lump and soliton on certain spatially-varying backgrounds for an integrable (3+1) dimensional fifth-order nonlinear oceanic wave model	67
Time-delay neural network observer-based adaptive finite-time prescribed performance control for nonlinear systems with unknown time-delay	67
Sliding fast–slow dynamics in the slowly forced Duffing system with frequency switching	67
Structural transition on partial edge-based growing graph	66
Dynamics of non–identical coupled Chialvo neuron maps	66
Symmetric and asymmetric bursting oscillations in a hybrid van der Pol-Duffing-Rayleigh system	65
Improved results of asynchronous mixed H	65
Modulating propagation of Parkinsonian beta oscillations with transcranial direct current stimulation: A computational study	65
Coupling resonance of signal responses induced by heterogeneously mixed positive and negative couplings in cognitive subnetworks	65
Discrete quantum droplets in one-dimensional binary Bose–Einstein condensates	65
Transport and Fano resonance in a one-dimensional weakly-interacting periodically driven fermionic system	64
Expanding the duopoly Stackelberg game with marginal costs into a multipoly game with lowering the burden of mathematical calculations: a numerical analysis	64

Multi-vortex beams in nonlinear media with harmonic potential wells	64
Echo effect in brain networks	64
A simple interpolative contraction approach for analyzing existence and uniqueness of solutions in the fractional-order King Cobra model	64
How multiple weak species jeopardise biodiversity in spatial rock–paper–scissors models	63
Keeping or reversing social norms promote cooperation by enhancing indirect reciprocity	63
Self-organization and evolution of structure and function in cultured neuronal networks	63
Turing–Hopf bifurcation in a general Selkov–Schnakenberg reaction–diffusion system	63
Multistability and bifurcation analysis for a three-strategy game system with public goods feedback and discrete delays	63
Stability and controllability results of ψ-Hilfer fractional integro-d	63
COVID-19 dynamics and immune response: Linking within-host and between-host dynamics	62
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	62
A unified Maxwell model with time-varying viscosity via ψ-Caputo fr	62
t -rel	60
Theoretical study on magneto-hydrodynamic squeeze film flow of piezo-viscous micropolar fluid between annular disks	59
Robust quantum-droplet necklace clusters in three dimensions	59
Stable higher-charge vortex droplets governed by quantum fluctuations in three dimensions	59
Proof of an open problem on the maximization of the Euler–Sombor index in chemical unicyclic graphs	59
Security-enhanced coherent optical chaotic secure communication based on linearly coupled reservoir computing	58
Unknown-input pseudo-state observer synthesis for fractional-order systems: A geometric framework	58
Effects of multiphysics coupling on stability and chaotic dynamics in a centrifugal pendulum vibration absorber	58
Maintenance and collapse of cooperation driven by bounded rationality in structured populations	58
Filtered rays over iterated absolute differences on layers of integers	58
Antisocial behavior-based environmental feedback in spatial prisoner's dilemma game	57
Evolutionary dynamics of threshold public goods games on random hypergraphs	57
Time series analysis of wildfire propagation in Chile: A complex networks approach	57
Stochastic dynamics of hysteresis systems under harmonic and Poisson excitations	57
Derivation of vertical concentration profile for nonuniform sediment in suspension using Shannon entropy	57
Large time behavior in a reaction diffusion epidemic model with logistic source	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	56
Large-scale robustness-oriented efficient edge addition through traversal tree-based weak edge identification	55
Optimal pruned tree-cut mapping-based fast shielding for large-scale networks	55
Measure attractors and measure evolution systems in high-order moment metric space for fractional stochastic Ginzburg–Landau equations on unbounded domains	55
Heterogeneous parallel computing based real-time chaotic video encryption and its application to drone-oriented secure communication	55
Controlling COVID-19 transmission with isolation of influential nodes	55
A rumor propagation model in multilingual environment with time and state dependent impulsive control	55
A new five-dimensional non-Hamiltonian conservative hyperchaos system with multistability and transient properties	55
Finite-time synchronization for delayed BAM neural networks by the approach of the same structural functions	55
Asymptotic behavior and a new comparison technique for solutions of delta fractional difference equations	54
Dynamic analysis of a predator–prey model with anti-predator behavior and fear effect under a two-thresholds feedback control	53
Evolution of cooperation through incomplete punishment under dynamic resource constraints	53
Symmetry breaking phenomena in a network of nonlocally coupled tristable 2D Tagne Nkounga–Yamapi neuronal models	52
Stochastic admissibility and H∞	52
Impact of positive and negative information on epidemic spread in a three-layer network	52
Fast detection of any-size communities based on van der Waals potential	52
Environmental stochastic fluctuations lead to different evolutionary directions of strategies	52
Chaos control of fractional order nonlinear Bloch equation by utilizing sliding mode controller	52
Public goods game across multilayer populations with different densities	51
A novel similarity measure based on dispersion-transition matrix and Jensen–Fisher divergence and its application on the detection of rail short-wave defects	51
Dynamical responses of a Gaussian colored noise-driven shape memory alloy oscillator with a periodic force	51
The impact of memory reputation-induced tax and reward allocation on spatial public goods games	51
Generalized FitzHugh–Nagumo model with tristable dynamics: Deterministic and stochastic bifurcations	50
Explosive synchronization in multiplex multiple timescale networks with higher-order interactions	50
Threshold dynamics: Formulation, stability & sensitivity analysis of co-abuse model of heroin and smoking	50
Emergent magnetic field and vector potential of the toroidal magnetic hopfions	50
Impact of individual activity on behavior adoption in complex networks: A two-layer generalized SAR model analysis	49
Identifying influential nodes in social networks via improved Laplacian centrality	49
Bursting oscillations with bifurcations of chaotic attractors in a modified Chua’s circuit	49
Application of QGA-MCKD and stochastic feedback pooling network in variable-condition bearing diagnostics	49
Delta-shock solution for the nonhomogeneous Euler equations of compressible fluid flow with Born–Infeld equation of state	49
Ricci soliton and relativistic thermodynamical fluid spacetime	49
Quantum dynamics of qutrit systems driven by the local non-Hermitian Hamiltonian	48
Experimental synchronization between neuroelectrical activity and an elementary electronic chaotic oscillator	48
Manifestation of interval uncertainties for fractional differential equations under conformable derivative	48
Bifurcation and resonance of fractional cubic nonlinear system	48
Routes to chaos and bistability in the Rypdal model with a parametric disturbance	47
Management of the discrete eigenvalues of the nonlinear Schrödinger equation using periodic dispersion perturbation	47
A unique self-driven 5D hyperjerk circuit with hyperbolic sine function: Hyperchaos with three positive exponents, complex transient behavior and coexisting attractors	47
Transformer operator network with fast difference gradient positive–negative momentum for solving Navier–Stokes equations	47
Stochastically drifted Brownian motion for self-propelled particles	47
Polarized electric field-induced drift of spiral waves in discontinuous cardiac media	47
Probabilistic analysis of the steady state of weakly perturbed linear oscillators subject to a class of Gaussian inputs	47
Partition independent control and collaborative optimization of high-density crowd in subway stations	47
Early warning signal of abrupt change in sea level pressure based on changing spectral exponent	47
Effect of nonlinearity of discrete Langevin model on behavior of extremes in generated time series	47
Random attractors for fractional stochastic reaction–diffusion systems with fractional Brownian motion	46
A sparse regression framework for governing equation discovery in nonlinear optical dynamics	46
Nonlinear Rayleigh-Bénard magnetoconvection of a weakly electrically conducting Newtonian liquid in shallow cylindrical enclosures	46
Long- and short-term effects of cross-immunity in epidemic dynamics	46
A visit generation process for human mobility random graphs with location-specific latent-variables: From land use to travel demand	46

Mathematical analysis of global dynamics and optimal control of treatment for an age-structured HBV infection model	45
Bifurcation analysis of a non linear 6D financial system with three time delay feedback	45
Stationary pattern emergence in reaction–diffusion systems with unstable equilibria and Lienard kinetics	45
Vector annular rogue wave quartets and sextets	45
New coherent structures and interaction behavior for the new (	45
Stability and adaptive control-based synchronization of delayed uncertain fractional-order gene regulatory networks	45
Pseudo-phase difference guides additional connection between oscillators for synchrony	45
Bifurcation evolution, frequency analysis and FPGA implementation in a tabu learning neuron system	45
Editorial Board	45
Recent outcomes in time-dependent driven polymer translocation: A brief review	45
Neuromorphic dynamics near the edge of chaos in memristive neurons	44
Chaos quasi-opposition sea-horse based modified new tilt controller designed for multi-area deregulated AGC using deep learning against cyber-attacks	44
Epidemic dynamics in homes and destinations under recurrent mobility patterns	44
Fraction-order sideband generation in a driven magnomechanical system	44
Analytical solutions for the short-term plasticity	44
Cold-start link prediction integrating community information via multi-nonnegative matrix factorization	44
Emergent coordination without symmetry breaking in Minority Game via policy-based reinforcement learning	44
Geometry-aware reservoirs: Patch-wise Jacobian lifting with cross-patch couplings for piecewise-linear modelling of chaotic flows	44
Effect of heterogeneities in two-populations of globally coupled phase oscillators with higher-order interaction	44
Flatness-based real-time control of experimental analog chaotic oscillators	43
A chaotic two-dimensional image classification algorithm based on convolutional neural networks	43
Pinning synchronization of multiple fractional-order fuzzy complex-valued delayed spatiotemporal neural networks	43
Kernel based physics-informed machine learning for approximating CEV model under nonlinear volatility regimes in real-world financial environments	43
Simulation of non-transmural ablation lines that effectively block electrical signal propagation in the heart	43
A flexible-predefined-time convergence and noise-suppression ZNN for solving time-variant Sylvester equation and its application to robotic arm	43
Numerical approach and physical description for a two-capacitive neuron and its adaptive network dynamics	43
Nonlinear modeling of sparkling drink bubbles using a physics informed long short term memory network	43
Dynamic behaviors of multiple-solitons in a magnetized dusty plasma	43
Rigorous pointwise approximations of invariant densities for intermittent maps with a critical point	43
Propagation phenomenon for bistable parabolic equation in space-periodic environment	43
Analyzing the stability of fractal delay differential equations	43
Dark and antidark solitons on continuous and doubly periodic backgrounds in the space-shifted nonlocal nonlinear Schrödinger equation	43
Emotion-driven switching game environments facilitates general cooperation	43
Quasi-projective synchronization of inertial complex-valued recurrent neural networks with mixed time-varying delay and mismatched parameters	43
Phase transitions in operation of heterogeneous vehicles mixed with human-driven and connected autonomous vehicles under speed restriction circumstances	43
The chaotic, self-similar and hierarchical patterns in Bitcoin and Ethereum price series	42
Dynamics and vibration suppression of resting tremor based on inertial nonlinear energy sink	42
Stochastic volatility model with long memory for water quantity-quality dynamics	42
Radially inflows and outflows of non-Newtonian Ree-Eyring fluid between two narrow disks with temperature-dependent viscosity	42
Geometric phase and Wehrl phase entropy for two superconducting qubits in a coherent field system under the effect of nonlinear medium	42
Tunable optomechanically induced transparency and Fano resonances in a hybrid whispering gallery mode-magnon system	42
Heterogeneous propagation processes between awareness and epidemic on signed multiplex networks	42
Suppression mechanism of vortex-induced vibrations using non-linear energy sink with inerter based mechanical networks	42
Analysis of threshold Ornstein–Uhlenbeck process with piecewise linear drift and piecewise constant diffusion	42
Growth feedback confers cooperativity in resource-competing synthetic gene circuits	42
On the localization of Hutchinson–Barnsley fractals	41
Existence of chaos in controlled first-order partial difference equations with general delay controllers	41
LMI based stability condition for delta fractional order system with sector approximation	41
Stringency without efficiency is not adequate to combat pandemics	41
Editorial Board	41
Emergence of relaxation beat-waves in genuinely nonlinear Klein-Gordon chain with bi-harmonic parametric excitation	41
Scaling properties of a class of interfacial singular equations	41
Statistics of remote regions of networks	41
Nonlinear wave excitations in the (2+1)-D asymmetric Nizhnik-Novikov-Veselov system	40
A stochastic hormesis Ricker model and its application to multiple fields	40
Comment on “Dynamical complexity in a discrete tri-trophic Rosenzweig–MacArthur system: Bifurcations, chaos and hybrid control” [Chaos, Solitons and Fractals 201(2025) 117234]	40
Synchronization of directly coupled complex networks with multiweights and multiple delays	40
A statistical moment-based spectral approach to the chance-constrained stochastic optimal control of epidemic models	40
Improving the small-signal stability of a stochastic power system — Algorithms and mathematical analysis	40
Nonlinear ψ	40
pynamicalsys: A Python toolkit for the analysis of dynamical systems	40
Multi-byte side-channel attacks on chaotic block cipher: Autoencoder-based feature selection and CNN-Transformer collaborative attack framework	40
Scaling properties and height distributions of persisting roughness in the discrete growth models in the presence of the angle of repose	40
Learning the chaotic and regular nature of trajectories in Hamiltonian systems with Lagrangian descriptors	40
Understanding route choice behaviors' impact on traffic throughput in a dynamic transportation network	39
Simultaneously primary and super-harmonic resonance of a van der Pol oscillator with fractional-order derivative	39
Stability and complexity evaluation of attractors in a controllable piezoelectric Fitzhugh-Nagumo circuit	39
Combination of fractional-order, adaptive second order and non-singular terminal sliding mode controls for dynamical systems with uncertainty and under-actuation property	39
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	39
Complete aging in the noisy voter model enhances consensus formation	39
Entropy and complexity analysis of AI-generated and human-made paintings	39
Stability and decay of composite kinks/Q-balls solutions in a defo	39
How colored noise impacts excitation and suppression of calcium oscillations: Stochastic sensitivity analysis	39
Periodic/quasi-periodic standing waves and double-Hopf bifurcation of nonlocal reaction–diffusion delayed equations on 2D rectangular domain	39
A study on Zika–Dengue coinfection model with microcephaly newborn dynamics	38
A combination of classical and shifted Jacobi polynomials for two-dimensional time-fractional diffusion-wave equations	38
A singular value decomposition entropy approach to assess the impact of Covid-19 on the informational efficiency of the WTI crude oil market	38
Concentration and cavitation in the Euler equations for nonisentropic fluids with ideal polytropic dusty gas	38
De Broglie waves and nuclear element interaction; Abundant waves structures of the nonlinear fractional Phi-four equation	38
Fixed-time nonlinear-filter-based consensus control for nonlinear multiagent systems	38
Dynamics of bouncing convex body	38
Obesity and Alzheimer’s: An attempt to decipher the role of obesity in blood–brain barrier degradation	38
Controllability of Hilfer fractional neutral impulsive stochastic delayed differential equations with nonlocal conditions	38
A novel simultaneous permutation–diffusion image encryption scheme based on a discrete space map	38
Pure-quartic soliton self-frequency shift in a mode-locked fiber laser	38
Qualitative analysis on a reaction–diffusion SIS epidemic model with nonlinear incidence and Dirichlet boundary	38
A self-organized criticality participative pricing mechanism for selling zero-marginal cost products	38
Effects of dynamic probabilistic punishment with environmental threshold on cooperation in spatial public goods games	37
Unidirectional dynamics in translationally coupled bistable systems: Waves, fronts, and self-organization	37
Synchronization and control for directed and multiweighted networks with multiple time delays	37
Chaos emerges from coexisting homoclinic cycles for a class of 3D piecewise systems	37
Nonreciprocal bistability in coupled nonlinear cavity magnonics	37
An innovative orthogonal matrix based on nonlinear chaotic system for compressive sensing	37
Pursuit-evasion dynamics for multi-USV with heading angle limits and random noises	37
Chaos evolution optimization with feasible region analysis for stability enhancement in cascaded converters	37