Chaos Solitons & Fractals

Article	Citations
Dynamics by control strategies targeting the effective reproduction number	231
Editorial Board	162
Driven transitions between megastable quantized orbits	149
Robustness of the absolute Rosenau–Hyman |K	146
Large deviations approach to a one-dimensional, time-periodic stochastic model of pattern formation	142
An application of fixed point technique of Rothe’s-type to interpret the controllability criteria of neutral nonlinear fractional ordered impulsive system	135
Fractal correlations in the Covid-19 genome sequence via multivariate rescaled range analysis	129
Stabilization of multi-link delayed neutral-type complex networks with jump diffusion via aperiodically intermittent control	127
Role of myocardial ischemia components in overdrive pacing of spiral waves	123
Analytical derivation of delayed prey–predator model with hunting-and-resting delay	123
Small groups nurturing collective wisdom: The punishment-prediction reinforcement learning mechanism for multi-group cooperation	123
Site-controlled gain-loss managed solitons in the nonlinear Schrӧdinger equation with complex potential wells	118
Dissipative solitons stabilized by nonlinear gradients in one spatial dimension: From deterministic to stochastic aspects, and a perspective	110
Effects of multiphysics coupling on stability and chaotic dynamics in a centrifugal pendulum vibration absorber	110
Filtered rays over iterated absolute differences on layers of integers	110
Action potential solitons and waves in axons	110
Transport and Fano resonance in a one-dimensional weakly-interacting periodically driven fermionic system	109
Expanding the duopoly Stackelberg game with marginal costs into a multipoly game with lowering the burden of mathematical calculations: a numerical analysis	107
Turing–Hopf bifurcation in a general Selkov–Schnakenberg reaction–diffusion system	104
Large-scale robustness-oriented efficient edge addition through traversal tree-based weak edge identification	103
The role of anxiety in the evolution of cooperative behavior based on spatial interactions	101
Stable higher-charge vortex droplets governed by quantum fluctuations in three dimensions	99
Self-organization and evolution of structure and function in cultured neuronal networks	98
Maintenance and collapse of cooperation driven by bounded rationality in structured populations	98
Unknown-input pseudo-state observer synthesis for fractional-order systems: A geometric framework	98

Stability, convergence, and energy preservation robust methods for fully implicit and fully explicit coupling schemes	97
Discrete scaling and criticality in a chain of adaptive excitable integrators	96
Manipulation of chaotic emission waveforms in semiconductor lasers via energy redistribution	95
Environmental stochastic fluctuations lead to different evolutionary directions of strategies	94
A realizable chaotic system with interesting sets of equilibria, characteristics, and its underactuated predefined-time sliding mode control	93
Fast detection of any-size communities based on van der Waals potential	93
Derivation of vertical concentration profile for nonuniform sediment in suspension using Shannon entropy	92
Dynamic analysis of a predator–prey model with anti-predator behavior and fear effect under a two-thresholds feedback control	90
Symmetry breaking phenomena in a network of nonlocally coupled tristable 2D Tagne Nkounga–Yamapi neuronal models	90
Delta-shock solution for the nonhomogeneous Euler equations of compressible fluid flow with Born–Infeld equation of state	88
Evolution of cooperation through incomplete punishment under dynamic resource constraints	88
Ricci soliton and relativistic thermodynamical fluid spacetime	86
Detecting quantum hacking attacks for continuous-variable quantum key distribution using quantum neural network	85
Structural transition on partial edge-based growing graph	84
Coupling resonance of signal responses induced by heterogeneously mixed positive and negative couplings in cognitive subnetworks	81
PPO-ACT: Proximal policy optimization with adversarial curriculum transfer for spatial public goods games	80
Mathematical modeling of operation loop ratio and its effect in combat networks	80
Spiraling elliptic beam arrays in strongly nonlocal nonlinear media	80
Conservation laws and some new exact solutions for traffic flow model via symmetry analysis	80
Traffic-driven explosive synchronization with adaptive local routing in complex networks	79
Nondegenerate three-hump solitons for the nonlinear Schrödinger equations in optics	78
The dynamical analysis of non-uniform neocortical network model in up-down state oscillations	78
Nonlinear dynamics of gap solitons in SOC-BECs trapped in a deformed honeycomb optical lattice	78
Modulating propagation of Parkinsonian beta oscillations with transcranial direct current stimulation: A computational study	77
Mechanisms of semantic communication of information and dynamics of complex systems. Application to financial markets	77
A novel similarity measure based on dispersion-transition matrix and Jensen–Fisher divergence and its application on the detection of rail short-wave defects	76
Generalized FitzHugh–Nagumo model with tristable dynamics: Deterministic and stochastic bifurcations	76
Manifestation of interval uncertainties for fractional differential equations under conformable derivative	74
Multistability and bifurcation analysis for a three-strategy game system with public goods feedback and discrete delays	74
Transformer operator network with fast difference gradient positive–negative momentum for solving Navier–Stokes equations	74
How multiple weak species jeopardise biodiversity in spatial rock–paper–scissors models	74
The co-evolution of information sharing behavior and motivation: A resilience perspective on complex supply chain networks	73
Temporal link prediction based on node dynamics	73
Predicting the oscillatory regimes of global synchrony induced by secondary clusters	73
The stability and collision dynamics of quantum droplets in PT-symmetric optical lattices	73
Collective behaviors of self-propelled particles with looming-receding induced non-reciprocal interactions	73
Optimal pruned tree-cut mapping-based fast shielding for large-scale networks	73
Design of chaotic Young's double slit experiment optimization heuristics for identification of nonlinear muscle model with key term separation	73
Multi-vortex beams in nonlinear media with harmonic potential wells	72
Integral resonant negative derivative feedback suppression control strategy for nonlinear dynamic vibration behavior model	71
Dynamics of non–identical coupled Chialvo neuron maps	71
Chaos control of fractional order nonlinear Bloch equation by utilizing sliding mode controller	69
Cyclic periodic synchronization in networks of piecewise nonlinear discontinuous maps	69
Soliton, breather and rogue wave solutions of the higher-order modified Gerdjikov–Ivanov equation	69
Almost periodic dynamics and stability in neutral-type BAM neural networks on time scales	69
Quantum dynamics of qutrit systems driven by the local non-Hermitian Hamiltonian	68
Asymptotic behavior and a new comparison technique for solutions of delta fractional difference equations	68
A unified Maxwell model with time-varying viscosity via ψ-Caputo fr	67
Solution of non-autonomous impulsive evolution equation in reflexive Banach spaces	67
Application of QGA-MCKD and stochastic feedback pooling network in variable-condition bearing diagnostics	66

Dynamical responses of a Gaussian colored noise-driven shape memory alloy oscillator with a periodic force	66
Critical station identification and robustness analysis of urban rail transit networks based on comprehensive vote-rank algorithm	66
Time-delay neural network observer-based adaptive finite-time prescribed performance control for nonlinear systems with unknown time-delay	66
Explosive synchronization in multiplex multiple timescale networks with higher-order interactions	65
Stability and controllability results of ψ-Hilfer fractional integro-d	65
Transformations of spike and burst oscillations in the stochastic Rulkov model	64
A simple interpolative contraction approach for analyzing existence and uniqueness of solutions in the fractional-order King Cobra model	64
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	64
Deciphering nonlinear wave phenomena in Einstein’s vacuum field equation using analytical and numerical approaches	63
A new intervention strategy for an HIV/AIDS transmission by a general fractional modeling and an optimal control approach	63
Energy level and coherence resonance in two memristive neurons in polarized electric field	63
Theoretical study on magneto-hydrodynamic squeeze film flow of piezo-viscous micropolar fluid between annular disks	61
Impact of individual activity on behavior adoption in complex networks: A two-layer generalized SAR model analysis	61
t-relational generalized iterated function systems	61
Stochastic dynamics of hysteresis systems under harmonic and Poisson excitations	61
Robust quantum-droplet necklace clusters in three dimensions	61
Spiking and bursting activities in an NLAM-based CNN cell	60
COVID-19 dynamics and immune response: Linking within-host and between-host dynamics	60
A novel blood glucose time series prediction framework based on a novel signal decomposition method	60
Shape deformation and electromagnetic induction affect wave stability in a memristive media	59
Topological photonics mediated Hamiltonian chaos in cavity QED with spin–orbit coupled Bose–Einstein condensate	59
Role of pairwise and higher-order interactions in the inverse stochastic resonance	59
Encryption scheme for low-altitude traffic images via learning-based fractal compression and bidirectional diffusion	58
Partition independent control and collaborative optimization of high-density crowd in subway stations	58
Discrete quantum droplets in one-dimensional binary Bose–Einstein condensates	58
Evolutionary dynamics of threshold public goods games on random hypergraphs	57
Improved results of asynchronous mixed H	57
Empirical studies and topological implications of Fermat difference statistics for complex networks	57
Wada boundaries on a hyperbolic pair of pants	56
Chaotic Complex Hashing: A simple chaotic keyed hash function based on complex quadratic map	56
Public goods game across multilayer populations with different densities	56
Design of a novel memristor-modulated hyperchaotic map with differential variable input	55
Proof of an open problem on the maximization of the Euler–Sombor index in chemical unicyclic graphs	55
Higher-order interactions drive Turing–Hopf transitions and spatiotemporal patterns in epidemic networks	55
Symmetric and asymmetric bursting oscillations in a hybrid van der Pol-Duffing-Rayleigh system	54
Supporting punishment via taxation in a structured population	54
Stochastic optimal control and piecewise parameterization and optimization method for inventory control system improvement	53
Impact of positive and negative information on epidemic spread in a three-layer network	53
Pattern formation in a predator–prey model on network and non-network environments	53
Finite-time synchronization for delayed BAM neural networks by the approach of the same structural functions	53
High-frequency dark envelope electromagnetic waves and nonlinear Faraday rotation in magnetized plasmas	53
The impact of memory reputation-induced tax and reward allocation on spatial public goods games	53
Physical approach to control ion channel in a neuron	53
Dynamical and topological conditions triggering the spontaneous activation of Izhikevich neuronal networks	52
A new five-dimensional non-Hamiltonian conservative hyperchaos system with multistability and transient properties	52
Time series analysis of wildfire propagation in Chile: A complex networks approach	52
Large time behavior in a reaction diffusion epidemic model with logistic source	51
Identifying influential nodes in social networks via improved Laplacian centrality	51
Hopf bifurcation of the recurrent infectious disease model with disease age and two delays	51
Heterogeneous parallel computing based real-time chaotic video encryption and its application to drone-oriented secure communication	51
Comprehensive analysis of network robustness evaluation based on convolutional neural networks with spatial pyramid pooling	51
Generation and control of grid multi-vortex attractors in memristive Hopfield neural network	51
Two-dimensional pattern entropy for bearing fault diagnosis	51
A rumor propagation model in multilingual environment with time and state dependent impulsive control	50
Non-periodic intermittent stochastic control for SVIQR epidemic model on complex network with saturation incidence rate	50
Coevolutionary dynamics of feedback-evolving games in structured populations	50
Emergent magnetic field and vector potential of the toroidal magnetic hopfions	49
Measure attractors and measure evolution systems in high-order moment metric space for fractional stochastic Ginzburg–Landau equations on unbounded domains	49
Feedback control of chaos in impact oscillator with multiple time-delays	49
Lump and soliton on certain spatially-varying backgrounds for an integrable (3+1) dimensional fifth-order nonlinear oceanic wave model	49
Efficient hybrid PageRank centrality computation for multilayer networks	49
Nonreciprocal unconventional photon blockade via Barnett effect in a hybrid cavity magnonic system	49
Stochastic admissibility and H∞	49
Threshold dynamics: Formulation, stability & sensitivity analysis of co-abuse model of heroin and smoking	49
Sliding fast–slow dynamics in the slowly forced Duffing system with frequency switching	48
Dynamical analysis, multi-cavity control and DSP implementation of a novel memristive autapse neuron model emulating brain behaviors	48
A novel nonlinear automated multi-class skin lesion detection system using soft-attention based convolutional neural networks	48
Probabilistic analysis of the steady state of weakly perturbed linear oscillators subject to a class of Gaussian inputs	48
Antisocial behavior-based environmental feedback in spatial prisoner's dilemma game	48
A study of bidirectional control of Parkinson’s beta oscillations by basal ganglia	48
Security-enhanced coherent optical chaotic secure communication based on linearly coupled reservoir computing	48
Management of the discrete eigenvalues of the nonlinear Schrödinger equation using periodic dispersion perturbation	48
Effect of nonlinearity of discrete Langevin model on behavior of extremes in generated time series	48
Bursting oscillations with bifurcations of chaotic attractors in a modified Chua’s circuit	48
Dynamic analysis and immune control strategy of a rumor propagation model considering network topology	48
Experimental synchronization between neuroelectrical activity and an elementary electronic chaotic oscillator	48
Stochastically drifted Brownian motion for self-propelled particles	48
A multifractal formalism for new general fractal measures	48
Mathematical analysis of global dynamics and optimal control of treatment for an age-structured HBV infection model	47
Recent outcomes in time-dependent driven polymer translocation: A brief review	47

Random attractors for fractional stochastic reaction–diffusion systems with fractional Brownian motion	47
Vector annular rogue wave quartets and sextets	47
Effect of heterogeneities in two-populations of globally coupled phase oscillators with higher-order interaction	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
Cold-start link prediction integrating community information via multi-nonnegative matrix factorization	47
New coherent structures and interaction behavior for the new (	47
Editorial Board	47
Emergent coordination without symmetry breaking in Minority Game via policy-based reinforcement learning	46
Analytical solutions for the short-term plasticity	46
Analyzing the stability of fractal delay differential equations	46
Simulation of non-transmural ablation lines that effectively block electrical signal propagation in the heart	45
Dynamic behaviors of multiple-solitons in a magnetized dusty plasma	45
Geometry-aware reservoirs: Patch-wise Jacobian lifting with cross-patch couplings for piecewise-linear modelling of chaotic flows	45
Geometric phase and Wehrl phase entropy for two superconducting qubits in a coherent field system under the effect of nonlinear medium	45
Learning the chaotic and regular nature of trajectories in Hamiltonian systems with Lagrangian descriptors	45
On the localization of Hutchinson–Barnsley fractals	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
Analysis of threshold Ornstein–Uhlenbeck process with piecewise linear drift and piecewise constant diffusion	45
Stability and adaptive control-based synchronization of delayed uncertain fractional-order gene regulatory networks	45
Neural network models and shapley additive explanations for a beam-ring structure	44
Existence of chaos in controlled first-order partial difference equations with general delay controllers	44
Statistics of remote regions of networks	44
Scaling properties of a class of interfacial singular equations	44
Nonlinear modeling of sparkling drink bubbles using a physics informed long short term memory network	44
LMI based stability condition for delta fractional order system with sector approximation	44
Emergence of relaxation beat-waves in genuinely nonlinear Klein-Gordon chain with bi-harmonic parametric excitation	44
Editorial Board	44
Nonlinear ψ	43
Improving the small-signal stability of a stochastic power system — Algorithms and mathematical analysis	43
Propagation phenomenon for bistable parabolic equation in space-periodic environment	43
Comment on “Dynamical complexity in a discrete tri-trophic Rosenzweig–MacArthur system: Bifurcations, chaos and hybrid control” [Chaos, Solitons and Fractals 201(2025) 117234]	43
Multi-byte side-channel attacks on chaotic block cipher: Autoencoder-based feature selection and CNN-Transformer collaborative attack framework	43
Competition of alliances in a cyclically dominant eight-species population	43
Scaling properties and height distributions of persisting roughness in the discrete growth models in the presence of the angle of repose	43
A statistical moment-based spectral approach to the chance-constrained stochastic optimal control of epidemic models	43
Generalized multifractal measures with gauge functions for some self-similar sets	42
Ephemeral connections, persistent effects: Cooperation dynamics in temporal networks with historical interactions	42
Complete aging in the noisy voter model enhances consensus formation	42
Geometric investigation of chaos unfolding in Hamiltonian systems	42
Unidirectional dynamics in translationally coupled bistable systems: Waves, fronts, and self-organization	42
Bifurcation evolution, frequency analysis and FPGA implementation in a tabu learning neuron system	42
Remarkable results obtained when studying a question concerning the invariant set of an IFS	42
Anticipated synchronization in systems with distributed delay	41
Chaos emerges from coexisting homoclinic cycles for a class of 3D piecewise systems	41
Nonreciprocal bistability in coupled nonlinear cavity magnonics	41
Kernel based physics-informed machine learning for approximating CEV model under nonlinear volatility regimes in real-world financial environments	41
Synchronization of directly coupled complex networks with multiweights and multiple delays	41
Pursuit-evasion dynamics for multi-USV with heading angle limits and random noises	41
Data-driven fault-tolerant control for nonlinear systems with output saturation	41
The classical and quantum two-center harmonic-like problem	41
Rigorous pointwise approximations of invariant densities for intermittent maps with a critical point	41
Torus bifurcation and homoclinic chaos underlie potassium-driven epileptiform dynamics in a multi-timescale neural mass model	41
Chaos evolution optimization with feasible region analysis for stability enhancement in cascaded converters	41
Concentration and cavitation in the Euler equations for nonisentropic fluids with ideal polytropic dusty gas	41
Stochastic volatility model with long memory for water quantity-quality dynamics	41
Three-dimensional m-HR neuron model and its application in medical image encryption	40
Exploring ring dark soliton dynamics in Rydberg-dressed Bose–Einstein condensate	40
Combination of fractional-order, adaptive second order and non-singular terminal sliding mode controls for dynamical systems with uncertainty and under-actuation property	40
Dynamics of chirped similaritons on a continuous-wave background in weakly birefringent optical fibers	40
Scalar and vector electromagnetic solitary waves in nonlinear hyperbolic media	40
Control energy scaling for target control of complex networks	40
Quantifying predictive knowledge: Wavelet energy α-divergence measu	40
Understanding route choice behaviors' impact on traffic throughput in a dynamic transportation network	40
Stability and decay of composite kinks/Q-balls solutions in a defo	39
Quasi-projective synchronization of inertial complex-valued recurrent neural networks with mixed time-varying delay and mismatched parameters	39
How colored noise impacts excitation and suppression of calcium oscillations: Stochastic sensitivity analysis	39
Dynamically selected steady states and criticality in non-reciprocal networks	39
Nonlinear Rayleigh-Bénard magnetoconvection of a weakly electrically conducting Newtonian liquid in shallow cylindrical enclosures	39
De Broglie waves and nuclear element interaction; Abundant waves structures of the nonlinear fractional Phi-four equation	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
Boundary control for stochastic reaction–diffusion systems with time-varying delays and Lévy noise	39
Entropy and complexity analysis of AI-generated and human-made paintings	39
Simultaneously primary and super-harmonic resonance of a van der Pol oscillator with fractional-order derivative	39
Obesity and Alzheimer’s: An attempt to decipher the role of obesity in blood–brain barrier degradation	39
Fraction-order sideband generation in a driven magnomechanical system	39
A sparse regression framework for governing equation discovery in nonlinear optical dynamics	39
A stochastic hormesis Ricker model and its application to multiple fields	38
Enhancing robustness of higher-order networks with community structures through strategic edge addition	38
Dynamics of a stochastic SIS model driven by Markovian switching and Lévy jump with heavy tailed increments	38
Magnetization reversal phenomenon of higher-order lump and mixed interaction structures on periodic background in the (2+1)-dimensional Heisenberg ferromagnet spin equation	38
Suppression mechanism of vortex-induced vibrations using non-linear energy sink with inerter based mechanical networks	38
Heterogeneous propagation processes between awareness and epidemic on signed multiplex networks	38
An innovative orthogonal matrix based on nonlinear chaotic system for compressive sensing	38
A study on Zika–Dengue coinfection model with microcephaly newborn dynamics	38
A unique self-driven 5D hyperjerk circuit with hyperbolic sine function: Hyperchaos with three positive exponents, complex transient behavior and coexisting attractors	38
Fixed-time nonlinear-filter-based consensus control for nonlinear multiagent systems	38
Radially inflows and outflows of non-Newtonian Ree-Eyring fluid between two narrow disks with temperature-dependent viscosity	38
Routes to chaos and bistability in the Rypdal model with a parametric disturbance	38
The chaotic, self-similar and hierarchical patterns in Bitcoin and Ethereum price series	38
A chaotic two-dimensional image classification algorithm based on convolutional neural networks	37
Stability analysis of an axially moving viscoelastic beam under transverse magnetic fields and thermal loads	37
Exploring the relationship between the spatial distribution of roads and universal pattern of travel-route efficiency in urban road networks	37
Tunable optomechanically induced transparency and Fano resonances in a hybrid whispering gallery mode-magnon system	37
Bifurcation analysis of a non linear 6D financial system with three time delay feedback	37