Chaos Solitons & Fractals

Article	Citations
Public goods game across multilayer populations with different densities	177
Robustness of the absolute Rosenau–Hyman|K	170
How multiple weak species jeopardise biodiversity in spatial rock–paper–scissors models	133
Class-oriented techniques for reconstruction of dynamics from time series	131
A hybrid artificial neural network for the generation of critical fluctuations and inter-spike intervals	122
Dynamic model of vibrating plate coupled with a granule bed	110
Manifestation of interval uncertainties for fractional differential equations under conformable derivative	108
Heterogeneous parallel computing based real-time chaotic video encryption and its application to drone-oriented secure communication	105
Discrete scaling and criticality in a chain of adaptive excitable integrators	104
A novel blood glucose time series prediction framework based on a novel signal decomposition method	101
Dynamical and topological conditions triggering the spontaneous activation of Izhikevich neuronal networks	101
Wada boundaries on a hyperbolic pair of pants	100
Mittag–Leffler stability for a fractional Euler–Bernoulli problem	100
Modulating propagation of Parkinsonian beta oscillations with transcranial direct current stimulation: A computational study	97
More efficient estimates viaℏ-discrete fractional calculus theory and applications	97
Applying chaos indicators to Bianchi cosmological models	96
COVID-19 dynamics and immune response: Linking within-host and between-host dynamics	93
Controlling chaotic oscillations in a symmetric two-mass model of the vocal folds	92
Integral resonant negative derivative feedback suppression control strategy for nonlinear dynamic vibration behavior model	92
Echo effect in brain networks	92
Nonlinear resonances in fast electronic circuits mimicking photonic oscillators	91
Self-organization and evolution of structure and function in cultured neuronal networks	91
Dynamics by control strategies targeting the effective reproduction number	90
Analysis of Th1/Th2 response pattern with Treg cell inhibition and stochastic effect	89
Stable higher-charge vortex droplets governed by quantum fluctuations in three dimensions	87

Enhanced multiresolution wavelet analysis of cerebrovascular dynamics	86
A novel similarity measure based on dispersion-transition matrix and Jensen–Fisher divergence and its application on the detection of rail short-wave defects	84
Explosive synchronization in multiplex multiple timescale networks with higher-order interactions	84
Efficient hybrid PageRank centrality computation for multilayer networks	83
Spiking and bursting activities in an NLAM-based CNN cell	83
Action potential solitons and waves in axons	81
Temporal link prediction based on node dynamics	80
Filtered rays over iterated absolute differences on layers of integers	80
Comprehensive analysis of network robustness evaluation based on convolutional neural networks with spatial pyramid pooling	80
Chaos control of fractional order nonlinear Bloch equation by utilizing sliding mode controller	78
Chirped periodic waves for an cubic-quintic nonlinear Schrödinger equation with self steepening and higher order nonlinearities	78
Nonreciprocal unconventional photon blockade via Barnett effect in a hybrid cavity magnonic system	77
The stability and collision dynamics of quantum droplets in PT-symmetric optical lattices	77
Fractal correlations in the Covid-19 genome sequence via multivariate rescaled range analysis	77
Multi-affine visible height correlation analysis for revealing rich structures of fractal time series	76
Editorial Board	75
Dynamical analysis, multi-cavity control and DSP implementation of a novel memristive autapse neuron model emulating brain behaviors	74
Unknown-input pseudo-state observer synthesis for fractional-order systems: A geometric framework	74
DC-offset-induced hidden and asymmetric dynamics in Memristive Chua's circuit	74
Dissipative solitons stabilized by nonlinear gradients in one spatial dimension: From deterministic to stochastic aspects, and a perspective	72
Large-scale robustness-oriented efficient edge addition through traversal tree-based weak edge identification	72
Stabilization of multi-link delayed neutral-type complex networks with jump diffusion via aperiodically intermittent control	71
On symmetric gH-derivative: Applications to dual interval-valued optimization problems	71
Large deviations approach to a one-dimensional, time-periodic stochastic model of pattern formation	71
Comment on “Non-integrability of the Trapped Ionic System”. by Georgi Georgiev	71
Traffic-driven explosive synchronization with adaptive local routing in complex networks	70
Discrete quantum droplets in one-dimensional binary Bose–Einstein condensates	68
A new technique for solving a class of strongly nonlinear oscillatory equations	68
Derivation of vertical concentration profile for nonuniform sediment in suspension using Shannon entropy	68
Hopf bifurcation of the recurrent infectious disease model with disease age and two delays	67
Conservation laws and some new exact solutions for traffic flow model via symmetry analysis	67
Bursting oscillations with bifurcations of chaotic attractors in a modified Chua’s circuit	67
A realizable chaotic system with interesting sets of equilibria, characteristics, and its underactuated predefined-time sliding mode control	67
Soliton, breather and rogue wave solutions of the higher-order modified Gerdjikov–Ivanov equation	66
Finite-time synchronization for delayed BAM neural networks by the approach of the same structural functions	66
Topological properties and wave structures of Gilson–Pickering equation	66
Lump and soliton on certain spatially-varying backgrounds for an integrable (3+1) dimensional fifth-order nonlinear oceanic wave model	66
Turing–Hopf bifurcation in a general Selkov–Schnakenberg reaction–diffusion system	65
Stability and controllability results of ψ-Hilfer fractional integro-d	65
Impact of individual activity on behavior adoption in complex networks: A two-layer generalized SAR model analysis	65
Collective canard explosions of globally-coupled rotators with adaptive coupling	64
Dynamics of an autonomous electromechanical pendulum-like system with experimentation	64
Stability, convergence, and energy preservation robust methods for fully implicit and fully explicit coupling schemes	64
Ricci soliton and relativistic thermodynamical fluid spacetime	64
Application of QGA-MCKD and stochastic feedback pooling network in variable-condition bearing diagnostics	64
On a new class of Atangana-Baleanu fractional Volterra-Fredholm integro-differential inclusions with non-instantaneous impulses	63
Image encryption algorithm by fractional based chaotic system and framelet transform	63
Emergent magnetic field and vector potential of the toroidal magnetic hopfions	63
Convective instability of nanofluids in vertical circular porous microchannels	63
Effects of electric field on multiple vibrational resonances in Hindmarsh-Rose neuronal systems	63

Controlling COVID-19 transmission with isolation of influential nodes	62
A unified Maxwell model with time-varying viscosity via ψ-Caputo fr	62
Improved results of asynchronous mixed H	62
Sliding fast–slow dynamics in the slowly forced Duffing system with frequency switching	62
Large time behavior in a reaction diffusion epidemic model with logistic source	62
Design of chaotic Young's double slit experiment optimization heuristics for identification of nonlinear muscle model with key term separation	61
Dynamical responses of a Gaussian colored noise-driven shape memory alloy oscillator with a periodic force	60
Threshold dynamics: Formulation, stability & sensitivity analysis of co-abuse model of heroin and smoking	60
Antisocial behavior-based environmental feedback in spatial prisoner's dilemma game	60
Bifurcation and resonance of fractional cubic nonlinear system	60
Stochastic admissibility and H∞	60
Quantitative orbit classification of the planar restricted three-body problem with application to the motion of a satellite around Jupiter	60
Dynamics of non–identical coupled Chialvo neuron maps	58
An application of fixed point technique of Rothe’s-type to interpret the controllability criteria of neutral nonlinear fractional ordered impulsive system	58
The dynamical analysis of non-uniform neocortical network model in up-down state oscillations	58
Applying fractional quantum mechanics to systems with electrical screening effects	58
Ambiplasma separation into matter and antimatter by a train of baryon-acoustic solitons in the problem of the baryon asymmetry of the Universe	58
Multi-vortex beams in nonlinear media with harmonic potential wells	58
Expanding the duopoly Stackelberg game with marginal costs into a multipoly game with lowering the burden of mathematical calculations: a numerical analysis	58
Spiraling elliptic beam arrays in strongly nonlocal nonlinear media	58
Keeping or reversing social norms promote cooperation by enhancing indirect reciprocity	58
Competition of punishment and reward among inequity-averse individuals in spatial public goods games	57
Symmetric and asymmetric bursting oscillations in a hybrid van der Pol-Duffing-Rayleigh system	57
Optimal pruned tree-cut mapping-based fast shielding for large-scale networks	56
On a study of some classes of the fourth-order KdV–Klein/Gordon equation and its time fractional forms	56
A rumor propagation model in multilingual environment with time and state dependent impulsive control	56
Supporting punishment via taxation in a structured population	56
Critical station identification and robustness analysis of urban rail transit networks based on comprehensive vote-rank algorithm	55
A novel nonlinear automated multi-class skin lesion detection system using soft-attention based convolutional neural networks	55
Multistability and bifurcation analysis for a three-strategy game system with public goods feedback and discrete delays	55
Fractal structure of the soliton scattering for the graphene superlattice equation	55
Transformations of spike and burst oscillations in the stochastic Rulkov model	55
Stability and bifurcations in a discrete-time SIVS model with saturated incidence rate	54
Coevolutionary dynamics of feedback-evolving games in structured populations	54
A new five-dimensional non-Hamiltonian conservative hyperchaos system with multistability and transient properties	54
A new intervention strategy for an HIV/AIDS transmission by a general fractional modeling and an optimal control approach	54
Multistability, quasiperiodicity and chaos in a self-oscillating ring dynamical system with three degrees of freedom based on the van der Pol generator	53
Generalized FitzHugh–Nagumo model with tristable dynamics: Deterministic and stochastic bifurcations	53
Epidemic spreading in populations of mobile agents with adaptive behavioral response	53
Coupling resonance of signal responses induced by heterogeneously mixed positive and negative couplings in cognitive subnetworks	53
Aging transition under discrete time-dependent coupling: Restoring rhythmicity from aging	53
Impact of positive and negative information on epidemic spread in a three-layer network	52
Feedback control of chaos in impact oscillator with multiple time-delays	52
Identifying influential nodes in social networks via improved Laplacian centrality	52
Chaotic Complex Hashing: A simple chaotic keyed hash function based on complex quadratic map	52
Stochastic optimal control and piecewise parameterization and optimization method for inventory control system improvement	52
Time-delay neural network observer-based adaptive finite-time prescribed performance control for nonlinear systems with unknown time-delay	52
A multifractal formalism for new general fractal measures	52
Multifractal risk measures by Macroeconophysics perspective: The case of Brazilian inflation dynamics	52
Forecasting countries' gross domestic product from patent data	51
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	51
Projections and fractional dynamics of the typhoid fever: A case study of Mbandjock in the Centre Region of Cameroon	51
New coherent structures and interaction behavior for the new (	51
LMI based stability condition for delta fractional order system with sector approximation	50
On solutions of an obesity model in the light of new type fractional derivatives	50
A study on Zika–Dengue coinfection model with microcephaly newborn dynamics	50
The cellular automata inside optical chimera states	50
Scaling properties of a class of interfacial singular equations	50
Editorial Board	50
Approximate-Analytical solution to the information measure’s based quanto option pricing model	49
Editorial Board	49
A self-organized criticality participative pricing mechanism for selling zero-marginal cost products	49
Implementation of q-calculus on q-integro-differential equation involving anti-periodic boundary conditions with three criteria	49
A singular value decomposition entropy approach to assess the impact of Covid-19 on the informational efficiency of the WTI crude oil market	49
Overcoming the snaking instability and nucleation of dark solitons in nonlinear Kerr media by spatially inhomogeneous defocusing nonlinearity	49
Fixed-time nonlinear-filter-based consensus control for nonlinear multiagent systems	49
Remarkable results obtained when studying a question concerning the invariant set of an IFS	49
Scaling properties and height distributions of persisting roughness in the discrete growth models in the presence of the angle of repose	49
Long- and short-term effects of cross-immunity in epidemic dynamics	49
Effects of the septic nonlinearity and the initial value of the radius of orbital angular momentum beams on data transmission in optical fibers using the cubic-quintic-septic complex Ginzburg-Landau e	49
Stringency without efficiency is not adequate to combat pandemics	49
Pinning synchronization of multiple fractional-order fuzzy complex-valued delayed spatiotemporal neural networks	48
Simultaneously primary and super-harmonic resonance of a van der Pol oscillator with fractional-order derivative	48
Entropy and complexity analysis of AI-generated and human-made paintings	48
Global dynamics of ILSR rumor spreading model with general nonlinear spreading rate in multi-lingual environment	48
A new approach to measure the fractal dimension of a trajectory in the high-dimensional phase space	48
De Broglie waves and nuclear element interaction; Abundant waves structures of the nonlinear fractional Phi-four equation	47
Evolutionary games on simplicial complexes	47
Mathematical modeling approach of cancer immunoediting reveals new insights in targeted-therapy and timing plan of cancer treatment	47
Fractal-fractional order mathematical vaccine model of COVID-19 under non-singular kernel	47

Pattern Formation and analysis of reaction–diffusion ratio-dependent prey–predator model with harvesting in predator	47
Combination of fractional-order, adaptive second order and non-singular terminal sliding mode controls for dynamical systems with uncertainty and under-actuation property	47
Three dimensional mixed convection flow of hybrid casson nanofluid past a non-linear stretching surface: A modified Buongiorno’s model aspects	47
Numerical analysis of variable fractional viscoelastic column based on two-dimensional Legendre wavelets algorithm	47
Study of periodic diffusion and time delay induced spatiotemporal patterns in a predator-prey system	47
Stability and decay of composite kinks/Q-balls solutions in a defo	46
Data-driven fault-tolerant control for nonlinear systems with output saturation	46
A unique self-driven 5D hyperjerk circuit with hyperbolic sine function: Hyperchaos with three positive exponents, complex transient behavior and coexisting attractors	46
Exploring the relationship between the spatial distribution of roads and universal pattern of travel-route efficiency in urban road networks	46
A stochastic hormesis Ricker model and its application to multiple fields	45
Probabilistic analysis of the steady state of weakly perturbed linear oscillators subject to a class of Gaussian inputs	45
A statistical moment-based spectral approach to the chance-constrained stochastic optimal control of epidemic models	45
Dark and antidark solitons on continuous and doubly periodic backgrounds in the space-shifted nonlocal nonlinear Schrödinger equation	45
Phase locking of ultra-low power consumption stochastic magnetic bits induced by colored noise	44
Complete aging in the noisy voter model enhances consensus formation	44
Nonlinear modeling of sparkling drink bubbles using a physics informed long short term memory network	44
Vector annular rogue wave quartets and sextets	44
Bifurcation analysis of a non linear 6D financial system with three time delay feedback	43
Allee effect in models of interacting species	43
Three-dimensional m-HR neuron model and its application in medical image encryption	43
Magnetization reversal phenomenon of higher-order lump and mixed interaction structures on periodic background in the (2+1)-dimensional Heisenberg ferromagnet spin equation	43
Stability of delayed switched systems involving impulses: State-dependent switching control approach	43
Quantifying predictive knowledge: Wavelet energy α-divergence measu	43
Understanding route choice behaviors' impact on traffic throughput in a dynamic transportation network	43
Optical crystals and light-bullets in Kerr resonators	43
Bifurcation analysis of a modified FitzHugh-Nagumo neuron with electric field	43
Flatness-based real-time control of experimental analog chaotic oscillators	43
An efficient 2D hyper chaos and DNA encoding-based s-box generation method using chaotic evolutionary improvement algorithm for nonlinearity	42
Data-assimilation and state estimation for contact-based spreading processes using the ensemble kalman filter: Application to COVID-19	42
On the localization of Hutchinson–Barnsley fractals	42
Routes to chaos and bistability in the Rypdal model with a parametric disturbance	42
A numerical approach for a class of nonlinear optimal control problems with piecewise fractional derivative	42
Dynamically selected steady states and criticality in non-reciprocal networks	42
The spatially homogeneous hopf bifurcation induced jointly by memory and general delays in a diffusive system	42
Stability and complexity evaluation of attractors in a controllable piezoelectric Fitzhugh-Nagumo circuit	42
Qualitative analysis on a reaction–diffusion SIS epidemic model with nonlinear incidence and Dirichlet boundary	42
Global multistability and mechanisms of a memristive autapse-based Filippov Hindmash-Rose neuron model	41
Pseudo-phase difference guides additional connection between oscillators for synchrony	41
Control energy scaling for target control of complex networks	41
Management of the discrete eigenvalues of the nonlinear Schrödinger equation using periodic dispersion perturbation	41
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	41
Stability analysis of an axially moving viscoelastic beam under transverse magnetic fields and thermal loads	41
An innovative orthogonal matrix based on nonlinear chaotic system for compressive sensing	41
Effect of heterogeneities in two-populations of globally coupled phase oscillators with higher-order interaction	41
Effect of nonlinearity of discrete Langevin model on behavior of extremes in generated time series	40
Geometric phase and Wehrl phase entropy for two superconducting qubits in a coherent field system under the effect of nonlinear medium	40
Fuzzy fractional differential equations under the Mittag-Leffler kernel differential operator of the ABC approach: Theorems and applications	40
Robust global fixed-time synchronization of different dimensions fractional-order chaotic systems	40
Controllability of Hilfer fractional neutral impulsive stochastic delayed differential equations with nonlocal conditions	40
A flexible-predefined-time convergence and noise-suppression ZNN for solving time-variant Sylvester equation and its application to robotic arm	40
A study on eco-epidemiological model with fractional operators	40
An optimized and interpretable carbon price prediction: Explainable deep learning model	40
“Phase transitions” in small systems: Why standard threshold definitions fail for nanolasers	40
Dynamics of bouncing convex body	40
Existence of chaos in controlled first-order partial difference equations with general delay controllers	40
Heterogeneous propagation processes between awareness and epidemic on signed multiplex networks	40
Synchronization of directly coupled complex networks with multiweights and multiple delays	39
A parameter space method for analyzing Hopf bifurcation of fractional-order nonlinear systems with multiple-parameter	39
Random attractors for fractional stochastic reaction–diffusion systems with fractional Brownian motion	39
Chaos emerges from coexisting homoclinic cycles for a class of 3D piecewise systems	39
Learning the chaotic and regular nature of trajectories in Hamiltonian systems with Lagrangian descriptors	39
Nonlinear wave excitations in the (2+1)-D asymmetric Nizhnik-Novikov-Veselov system	39
Statistics of remote regions of networks	38
Exploring ring dark soliton dynamics in Rydberg-dressed Bose–Einstein condensate	38
Numerical approach and physical description for a two-capacitive neuron and its adaptive network dynamics	38
Dispersion entropy for graph signals	38
Noise and delay enhanced stability in tumor-immune responses to chemotherapy system	38
Neural network models and shapley additive explanations for a beam-ring structure	38
A novel approach to estimated Boulingand-Minkowski fractal dimension from complex networks	38
Growth feedback confers cooperativity in resource-competing synthetic gene circuits	38
Emergence of relaxation beat-waves in genuinely nonlinear Klein-Gordon chain with bi-harmonic parametric excitation	38
Scalar and vector electromagnetic solitary waves in nonlinear hyperbolic media	37
Analyzing the stability of fractal delay differential equations	37
Filtering induced explosive death in coupled FitzHugh–Nagumo neurons: Theory and experiment	37
Dynamic behaviors of multiple-solitons in a magnetized dusty plasma	37
The points with dense orbit under the β-expansions of different bases	37
Early warning signal of abrupt change in sea level pressure based on changing spectral exponent	37
Analytical solutions for the short-term plasticity	37
Dynamic analysis and bursting oscillation control of fractional-order permanent magnet synchronous motor system	36
A visit generation process for human mobility random graphs with location-specific latent-variables: From land use to travel demand	36
Obesity and Alzheimer’s: An attempt to decipher the role of obesity in blood–brain barrier degradation	36
The rise and fall of donation behavior through reputation	36
Mathematical analysis of global dynamics and optimal control of treatment for an age-structured HBV infection model	36
Quasi-projective synchronization of inertial complex-valued recurrent neural networks with mixed time-varying delay and mismatched parameters	36
The chaotic, self-similar and hierarchical patterns in Bitcoin and Ethereum price series	36
Stochastically drifted Brownian motion for self-propelled particles	36
Simulation of non-transmural ablation lines that effectively block electrical signal propagation in the heart	36
Pure-quartic soliton self-frequency shift in a mode-locked fiber laser	36
Chaos quasi-opposition sea-horse based modified new tilt controller designed for multi-area deregulated AGC using deep learning against cyber-attacks	36
Global dynamics of a network-based SIQS epidemic model with nonmonotone incidence rate	35
Stationary optical solitons with nonlinear chromatic dispersion and generalized temporal evolution by extended trial function approach	35
A hidden grid multi-scroll chaotic system coined with two multi-stable memristors	35
Competition of alliances in a cyclically dominant eight-species population	35
Deep neural networks-based output-dependent intermittent control for a class of uncertain nonlinear systems	35
Nonlinear Rayleigh-Bénard magnetoconvection of a weakly electrically conducting Newtonian liquid in shallow cylindrical enclosures	35