Chaos Solitons & Fractals

Papers
(The TQCC of Chaos Solitons & Fractals is 12. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-08-01 to 2025-08-01.)
ArticleCitations
Discrete scaling and criticality in a chain of adaptive excitable integrators184
Mittag–Leffler stability for a fractional Euler–Bernoulli problem179
Wada boundaries on a hyperbolic pair of pants140
Applying chaos indicators to Bianchi cosmological models127
Dynamics by control strategies targeting the effective reproduction number117
Filtered rays over iterated absolute differences on layers of integers113
A novel similarity measure based on dispersion-transition matrix and Jensen–Fisher divergence and its application on the detection of rail short-wave defects113
Nonreciprocal unconventional photon blockade via Barnett effect in a hybrid cavity magnonic system112
The stability and collision dynamics of quantum droplets in PT-symmetric optical lattices111
Fractal correlations in the Covid-19 genome sequence via multivariate rescaled range analysis109
Editorial Board105
Finite-time synchronization for delayed BAM neural networks by the approach of the same structural functions101
Chirped periodic waves for an cubic-quintic nonlinear Schrödinger equation with self steepening and higher order nonlinearities98
Fractal structure of the soliton scattering for the graphene superlattice equation98
Improved results of asynchronous mixed H96
Stabilization of multi-link delayed neutral-type complex networks with jump diffusion via aperiodically intermittent control95
Comment on “Non-integrability of the Trapped Ionic System”. by Georgi Georgiev93
Derivation of vertical concentration profile for nonuniform sediment in suspension using Shannon entropy92
Traffic-driven explosive synchronization with adaptive local routing in complex networks92
Discrete quantum droplets in one-dimensional binary Bose–Einstein condensates91
On symmetric gH-derivative: Applications to dual interval-valued optimization problems89
COVID-19 dynamics and immune response: Linking within-host and between-host dynamics86
Efficient hybrid PageRank centrality computation for multilayer networks86
A novel blood glucose time series prediction framework based on a novel signal decomposition method86
Sliding fast–slow dynamics in the slowly forced Duffing system with frequency switching85
A new intervention strategy for an HIV/AIDS transmission by a general fractional modeling and an optimal control approach85
Topological properties and wave structures of Gilson–Pickering equation84
Antisocial behavior-based environmental feedback in spatial prisoner's dilemma game84
Dynamical analysis, multi-cavity control and DSP implementation of a novel memristive autapse neuron model emulating brain behaviors83
Coevolutionary dynamics of feedback-evolving games in structured populations82
Coupling resonance of signal responses induced by heterogeneously mixed positive and negative couplings in cognitive subnetworks81
Echo effect in brain networks81
Optimal pruned tree-cut mapping-based fast shielding for large-scale networks80
Stochastic admissibility and H78
Spiraling elliptic beam arrays in strongly nonlocal nonlinear media78
Role of myocardial ischemia components in overdrive pacing of spiral waves78
Explosive synchronization in multiplex multiple timescale networks with higher-order interactions77
Soliton, breather and rogue wave solutions of the higher-order modified Gerdjikov–Ivanov equation77
Large-scale robustness-oriented efficient edge addition through traversal tree-based weak edge identification76
A unified Maxwell model with time-varying viscosity via ψ-Caputo fr74
Heterogeneous parallel computing based real-time chaotic video encryption and its application to drone-oriented secure communication74
Symmetric and asymmetric bursting oscillations in a hybrid van der Pol-Duffing-Rayleigh system74
Analysis of Th1/Th2 response pattern with Treg cell inhibition and stochastic effect73
Stability, convergence, and energy preservation robust methods for fully implicit and fully explicit coupling schemes73
Quantitative orbit classification of the planar restricted three-body problem with application to the motion of a satellite around Jupiter73
Ricci soliton and relativistic thermodynamical fluid spacetime73
A novel nonlinear automated multi-class skin lesion detection system using soft-attention based convolutional neural networks73
Controlling COVID-19 transmission with isolation of influential nodes72
Mathematical modeling of operation loop ratio and its effect in combat networks72
Analytical derivation of delayed prey–predator model with hunting-and-resting delay71
The impact of memory reputation-induced tax and reward allocation on spatial public goods games71
Dynamical responses of a Gaussian colored noise-driven shape memory alloy oscillator with a periodic force71
A study of bidirectional control of Parkinson’s beta oscillations by basal ganglia71
Dynamics of non–identical coupled Chialvo neuron maps70
Expanding the duopoly Stackelberg game with marginal costs into a multipoly game with lowering the burden of mathematical calculations: a numerical analysis69
Multistability and bifurcation analysis for a three-strategy game system with public goods feedback and discrete delays69
An application of fixed point technique of Rothe’s-type to interpret the controllability criteria of neutral nonlinear fractional ordered impulsive system69
Transformations of spike and burst oscillations in the stochastic Rulkov model69
Time-delay neural network observer-based adaptive finite-time prescribed performance control for nonlinear systems with unknown time-delay68
Time series analysis of wildfire propagation in Chile: A complex networks approach68
Delta-shock solution for the nonhomogeneous Euler equations of compressible fluid flow with Born–Infeld equation of state68
Conservation laws and some new exact solutions for traffic flow model via symmetry analysis67
Dissipative solitons stabilized by nonlinear gradients in one spatial dimension: From deterministic to stochastic aspects, and a perspective67
Public goods game across multilayer populations with different densities66
Large deviations approach to a one-dimensional, time-periodic stochastic model of pattern formation66
How multiple weak species jeopardise biodiversity in spatial rock–paper–scissors models65
Impact of individual activity on behavior adoption in complex networks: A two-layer generalized SAR model analysis65
Controlling chaotic oscillations in a symmetric two-mass model of the vocal folds65
Stable higher-charge vortex droplets governed by quantum fluctuations in three dimensions65
The dynamical analysis of non-uniform neocortical network model in up-down state oscillations65
Bifurcation and resonance of fractional cubic nonlinear system65
DC-offset-induced hidden and asymmetric dynamics in Memristive Chua's circuit65
Application of QGA-MCKD and stochastic feedback pooling network in variable-condition bearing diagnostics64
Epidemic spreading in populations of mobile agents with adaptive behavioral response64
Multi-vortex beams in nonlinear media with harmonic potential wells64
Manifestation of interval uncertainties for fractional differential equations under conformable derivative63
Lump and soliton on certain spatially-varying backgrounds for an integrable (3+1) dimensional fifth-order nonlinear oceanic wave model63
A new technique for solving a class of strongly nonlinear oscillatory equations62
Unknown-input pseudo-state observer synthesis for fractional-order systems: A geometric framework62
Convective instability of nanofluids in vertical circular porous microchannels62
Ambiplasma separation into matter and antimatter by a train of baryon-acoustic solitons in the problem of the baryon asymmetry of the Universe62
Keeping or reversing social norms promote cooperation by enhancing indirect reciprocity61
Action potential solitons and waves in axons61
Collective canard explosions of globally-coupled rotators with adaptive coupling61
Solution of non-autonomous impulsive evolution equation in reflexive Banach spaces61
Critical station identification and robustness analysis of urban rail transit networks based on comprehensive vote-rank algorithm60
Image encryption algorithm by fractional based chaotic system and framelet transform60
Multi-affine visible height correlation analysis for revealing rich structures of fractal time series60
Robustness of the absolute Rosenau–Hyman|K59
Bursting oscillations with bifurcations of chaotic attractors in a modified Chua’s circuit59
Stability and controllability results of ψ-Hilfer fractional integro-d58
Self-organization and evolution of structure and function in cultured neuronal networks58
Modulating propagation of Parkinsonian beta oscillations with transcranial direct current stimulation: A computational study58
Aging transition under discrete time-dependent coupling: Restoring rhythmicity from aging58
Stability and bifurcations in a discrete-time SIVS model with saturated incidence rate58
Hopf bifurcation of the recurrent infectious disease model with disease age and two delays58
Dynamical and topological conditions triggering the spontaneous activation of Izhikevich neuronal networks58
Stochastic optimal control and piecewise parameterization and optimization method for inventory control system improvement57
Design of chaotic Young's double slit experiment optimization heuristics for identification of nonlinear muscle model with key term separation57
Dynamic model of vibrating plate coupled with a granule bed57
Applying fractional quantum mechanics to systems with electrical screening effects56
Comprehensive analysis of network robustness evaluation based on convolutional neural networks with spatial pyramid pooling56
Turing–Hopf bifurcation in a general Selkov–Schnakenberg reaction–diffusion system56
A hybrid artificial neural network for the generation of critical fluctuations and inter-spike intervals55
Generalized FitzHugh–Nagumo model with tristable dynamics: Deterministic and stochastic bifurcations55
Large time behavior in a reaction diffusion epidemic model with logistic source55
Chaotic Complex Hashing: A simple chaotic keyed hash function based on complex quadratic map55
Emergent magnetic field and vector potential of the toroidal magnetic hopfions55
A rumor propagation model in multilingual environment with time and state dependent impulsive control55
Dynamics of an autonomous electromechanical pendulum-like system with experimentation55
Feedback control of chaos in impact oscillator with multiple time-delays54
A new five-dimensional non-Hamiltonian conservative hyperchaos system with multistability and transient properties54
Integral resonant negative derivative feedback suppression control strategy for nonlinear dynamic vibration behavior model54
Temporal link prediction based on node dynamics54
Effects of electric field on multiple vibrational resonances in Hindmarsh-Rose neuronal systems54
Identifying influential nodes in social networks via improved Laplacian centrality53
A realizable chaotic system with interesting sets of equilibria, characteristics, and its underactuated predefined-time sliding mode control53
Impact of positive and negative information on epidemic spread in a three-layer network53
Multifractal risk measures by Macroeconophysics perspective: The case of Brazilian inflation dynamics53
A multifractal formalism for new general fractal measures53
Chaos control of fractional order nonlinear Bloch equation by utilizing sliding mode controller53
Spiking and bursting activities in an NLAM-based CNN cell53
Supporting punishment via taxation in a structured population53
Threshold dynamics: Formulation, stability & sensitivity analysis of co-abuse model of heroin and smoking52
Competition of punishment and reward among inequity-averse individuals in spatial public goods games52
Design of a novel memristor-modulated hyperchaotic map with differential variable input52
LMI based stability condition for delta fractional order system with sector approximation51
Editorial Board51
Optimal tuning of support vector machines and k-NN algorithm by using Bayesian optimization for newborn cry signal diagnosis based on audio signal processing features51
Editorial Board51
Nonlinear resonances in fast electronic circuits mimicking photonic oscillators51
Vector annular rogue wave quartets and sextets50
Probabilistic analysis of the steady state of weakly perturbed linear oscillators subject to a class of Gaussian inputs50
Implementation of q-calculus on q-integro-differential equation involving anti-periodic boundary conditions with three criteria50
A stochastic hormesis Ricker model and its application to multiple fields50
Stability of delayed switched systems involving impulses: State-dependent switching control approach50
Approximate-Analytical solution to the information measure’s based quanto option pricing model50
Complete aging in the noisy voter model enhances consensus formation50
Stability and decay of composite kinks/Q-balls solutions in a defo50
Fixed-time nonlinear-filter-based consensus control for nonlinear multiagent systems50
A chaotic two-dimensional image classification algorithm based on convolutional neural networks50
How colored noise impacts excitation and suppression of calcium oscillations: Stochastic sensitivity analysis49
Pseudo-phase difference guides additional connection between oscillators for synchrony49
Projections and fractional dynamics of the typhoid fever: A case study of Mbandjock in the Centre Region of Cameroon49
Dispersion entropy for graph signals49
Scaling properties and height distributions of persisting roughness in the discrete growth models in the presence of the angle of repose49
Numerical analysis of variable fractional viscoelastic column based on two-dimensional Legendre wavelets algorithm49
The chaotic, self-similar and hierarchical patterns in Bitcoin and Ethereum price series49
Remarkable results obtained when studying a question concerning the invariant set of an IFS49
New coherent structures and interaction behavior for the new (48
Dynamically selected steady states and criticality in non-reciprocal networks48
Data-assimilation and state estimation for contact-based spreading processes using the ensemble kalman filter: Application to COVID-1948
Magnetization reversal phenomenon of higher-order lump and mixed interaction structures on periodic background in the (2+1)-dimensional Heisenberg ferromagnet spin equation48
Scaling properties of a class of interfacial singular equations47
Analytical solutions for the short-term plasticity47
A statistical moment-based spectral approach to the chance-constrained stochastic optimal control of epidemic models47
Data-driven fault-tolerant control for nonlinear systems with output saturation47
Stochastic volatility model with long memory for water quantity-quality dynamics47
“Phase transitions” in small systems: Why standard threshold definitions fail for nanolasers47
Neural network models and shapley additive explanations for a beam-ring structure47
Nonlinear Rayleigh-Bénard magnetoconvection of a weakly electrically conducting Newtonian liquid in shallow cylindrical enclosures46
Numerical approach and physical description for a two-capacitive neuron and its adaptive network dynamics46
Stability and complexity evaluation of attractors in a controllable piezoelectric Fitzhugh-Nagumo circuit46
Dark matter-wave gap solitons of Bose-Einstein condensates trapped in optical lattices with competing cubic-quintic nonlinearities46
Robust global fixed-time synchronization of different dimensions fractional-order chaotic systems46
Qualitative analysis on a reaction–diffusion SIS epidemic model with nonlinear incidence and Dirichlet boundary46
A parameter space method for analyzing Hopf bifurcation of fractional-order nonlinear systems with multiple-parameter46
Polarized electric field-induced drift of spiral waves in discontinuous cardiac media46
A flexible-predefined-time convergence and noise-suppression ZNN for solving time-variant Sylvester equation and its application to robotic arm46
Mathematical analysis of global dynamics and optimal control of treatment for an age-structured HBV infection model45
Chaos emerges from coexisting homoclinic cycles for a class of 3D piecewise systems45
Stability analysis of an axially moving viscoelastic beam under transverse magnetic fields and thermal loads45
Chaos quasi-opposition sea-horse based modified new tilt controller designed for multi-area deregulated AGC using deep learning against cyber-attacks45
Management of the discrete eigenvalues of the nonlinear Schrödinger equation using periodic dispersion perturbation44
Controllability of Hilfer fractional neutral impulsive stochastic delayed differential equations with nonlocal conditions44
Dynamics of bouncing convex body44
Global multistability and mechanisms of a memristive autapse-based Filippov Hindmash-Rose neuron model44
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 Fra44
Growth feedback confers cooperativity in resource-competing synthetic gene circuits43
Nonlinear wave excitations in the (2+1)-D asymmetric Nizhnik-Novikov-Veselov system43
A novel approach to estimated Boulingand-Minkowski fractal dimension from complex networks43
Emergence of relaxation beat-waves in genuinely nonlinear Klein-Gordon chain with bi-harmonic parametric excitation43
Existence of chaos in controlled first-order partial difference equations with general delay controllers43
Statistics of remote regions of networks43
Learning the chaotic and regular nature of trajectories in Hamiltonian systems with Lagrangian descriptors43
Analyzing the stability of fractal delay differential equations43
Study of periodic diffusion and time delay induced spatiotemporal patterns in a predator-prey system42
Overcoming the snaking instability and nucleation of dark solitons in nonlinear Kerr media by spatially inhomogeneous defocusing nonlinearity42
Control energy scaling for target control of complex networks42
Cold-start link prediction integrating community information via multi-nonnegative matrix factorization42
Mathematical modeling approach of cancer immunoediting reveals new insights in targeted-therapy and timing plan of cancer treatment42
A visit generation process for human mobility random graphs with location-specific latent-variables: From land use to travel demand42
Combination of fractional-order, adaptive second order and non-singular terminal sliding mode controls for dynamical systems with uncertainty and under-actuation property41
Obesity and Alzheimer’s: An attempt to decipher the role of obesity in blood–brain barrier degradation41
Pure-quartic soliton self-frequency shift in a mode-locked fiber laser41
Scalar and vector electromagnetic solitary waves in nonlinear hyperbolic media41
A new approach to measure the fractal dimension of a trajectory in the high-dimensional phase space41
The rise and fall of donation behavior through reputation41
Allee effect in models of interacting species41
Simulation of non-transmural ablation lines that effectively block electrical signal propagation in the heart41
Early warning signal of abrupt change in sea level pressure based on changing spectral exponent41
Competition of alliances in a cyclically dominant eight-species population41
Optical crystals and light-bullets in Kerr resonators41
Random attractors for fractional stochastic reaction–diffusion systems with fractional Brownian motion40
Neuromorphic dynamics near the edge of chaos in memristive neurons40
Forecasting countries' gross domestic product from patent data40
Dynamics of chirped similaritons on a continuous-wave background in weakly birefringent optical fibers40
Effect of nonlinearity of discrete Langevin model on behavior of extremes in generated time series40
A numerical approach for a class of nonlinear optimal control problems with piecewise fractional derivative40
Stochastically drifted Brownian motion for self-propelled particles40
On the localization of Hutchinson–Barnsley fractals40
The spatially homogeneous hopf bifurcation induced jointly by memory and general delays in a diffusive system39
Geometric phase and Wehrl phase entropy for two superconducting qubits in a coherent field system under the effect of nonlinear medium39
Dynamic behaviors of multiple-solitons in a magnetized dusty plasma39
Stringency without efficiency is not adequate to combat pandemics39
Charging free fermion quantum batteries39
A singular value decomposition entropy approach to assess the impact of Covid-19 on the informational efficiency of the WTI crude oil market39
Simultaneously primary and super-harmonic resonance of a van der Pol oscillator with fractional-order derivative38
Dynamic analysis and bursting oscillation control of fractional-order permanent magnet synchronous motor system38
The cellular automata inside optical chimera states38
Filtering induced explosive death in coupled FitzHugh–Nagumo neurons: Theory and experiment38
Radially inflows and outflows of non-Newtonian Ree-Eyring fluid between two narrow disks with temperature-dependent viscosity38
Routes to chaos and bistability in the Rypdal model with a parametric disturbance38
An efficient 2D hyper chaos and DNA encoding-based s-box generation method using chaotic evolutionary improvement algorithm for nonlinearity38
An innovative orthogonal matrix based on nonlinear chaotic system for compressive sensing38
De Broglie waves and nuclear element interaction; Abundant waves structures of the nonlinear fractional Phi-four equation38
Evolutionary games on simplicial complexes38
Exploring ring dark soliton dynamics in Rydberg-dressed Bose–Einstein condensate38
Effect of heterogeneities in two-populations of globally coupled phase oscillators with higher-order interaction37
Entropy and complexity analysis of AI-generated and human-made paintings37
Flatness-based real-time control of experimental analog chaotic oscillators37
Pinning synchronization of multiple fractional-order fuzzy complex-valued delayed spatiotemporal neural networks37
A new conservative chaotic system and its application in image encryption37
Quasi-projective synchronization of inertial complex-valued recurrent neural networks with mixed time-varying delay and mismatched parameters37
Three dimensional mixed convection flow of hybrid casson nanofluid past a non-linear stretching surface: A modified Buongiorno’s model aspects37
Three-dimensional m-HR neuron model and its application in medical image encryption37
Understanding route choice behaviors' impact on traffic throughput in a dynamic transportation network37
A novel simultaneous permutation–diffusion image encryption scheme based on a discrete space map36
Turing patterns in systems with high-order interactions36
Bifurcation analysis of a non linear 6D financial system with three time delay feedback36
Deep neural networks-based output-dependent intermittent control for a class of uncertain nonlinear systems36
Stability and adaptive control-based synchronization of delayed uncertain fractional-order gene regulatory networks36
Nonlinear modeling of sparkling drink bubbles using a physics informed long short term memory network36
Global dynamics of ILSR rumor spreading model with general nonlinear spreading rate in multi-lingual environment36
Successive lag synchronization of heterogeneous distributed-order coupled neural networks with unbounded delayed coupling36
A study on Zika–Dengue coinfection model with microcephaly newborn dynamics36
Dark and antidark solitons on continuous and doubly periodic backgrounds in the space-shifted nonlocal nonlinear Schrödinger equation36
Bifurcation analysis of a modified FitzHugh-Nagumo neuron with electric field35
Phase locking of ultra-low power consumption stochastic magnetic bits induced by colored noise35
Epidemic dynamics in homes and destinations under recurrent mobility patterns35
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