Chaos Solitons & Fractals

Article	Citations
Dynamic model of vibrating plate coupled with a granule bed	179
Discrete scaling and criticality in a chain of adaptive excitable integrators	172
Dynamical and topological conditions triggering the spontaneous activation of Izhikevich neuronal networks	134
Mittag–Leffler stability for a fractional Euler–Bernoulli problem	124
Wada boundaries on a hyperbolic pair of pants	113
Modulating propagation of Parkinsonian beta oscillations with transcranial direct current stimulation: A computational study	108
Applying chaos indicators to Bianchi cosmological models	108
Echo effect in brain networks	106
Controlling chaotic oscillations in a symmetric two-mass model of the vocal folds	104
Integral resonant negative derivative feedback suppression control strategy for nonlinear dynamic vibration behavior model	101
Self-organization and evolution of structure and function in cultured neuronal networks	99
Dynamics by control strategies targeting the effective reproduction number	96
Nonlinear resonances in fast electronic circuits mimicking photonic oscillators	96
Analysis of Th1/Th2 response pattern with Treg cell inhibition and stochastic effect	95
Stable higher-charge vortex droplets governed by quantum fluctuations in three dimensions	94
Explosive synchronization in multiplex multiple timescale networks with higher-order interactions	93
A novel similarity measure based on dispersion-transition matrix and Jensen–Fisher divergence and its application on the detection of rail short-wave defects	93
Spiking and bursting activities in an NLAM-based CNN cell	93
Efficient hybrid PageRank centrality computation for multilayer networks	91
Filtered rays over iterated absolute differences on layers of integers	89
Nonreciprocal unconventional photon blockade via Barnett effect in a hybrid cavity magnonic system	88
The stability and collision dynamics of quantum droplets in PT-symmetric optical lattices	86
Fractal correlations in the Covid-19 genome sequence via multivariate rescaled range analysis	85
Editorial Board	84
On symmetric gH-derivative: Applications to dual interval-valued optimization problems	84

Stabilization of multi-link delayed neutral-type complex networks with jump diffusion via aperiodically intermittent control	83
Comment on “Non-integrability of the Trapped Ionic System”. by Georgi Georgiev	83
Derivation of vertical concentration profile for nonuniform sediment in suspension using Shannon entropy	82
Traffic-driven explosive synchronization with adaptive local routing in complex networks	82
Hopf bifurcation of the recurrent infectious disease model with disease age and two delays	80
Discrete quantum droplets in one-dimensional binary Bose–Einstein condensates	80
Finite-time synchronization for delayed BAM neural networks by the approach of the same structural functions	79
Topological properties and wave structures of Gilson–Pickering equation	79
A realizable chaotic system with interesting sets of equilibria, characteristics, and its underactuated predefined-time sliding mode control	79
Impact of individual activity on behavior adoption in complex networks: A two-layer generalized SAR model analysis	77
Ricci soliton and relativistic thermodynamical fluid spacetime	76
Application of QGA-MCKD and stochastic feedback pooling network in variable-condition bearing diagnostics	74
Stability, convergence, and energy preservation robust methods for fully implicit and fully explicit coupling schemes	73
Controlling COVID-19 transmission with isolation of influential nodes	73
Emergent magnetic field and vector potential of the toroidal magnetic hopfions	73
A study of bidirectional control of Parkinson’s beta oscillations by basal ganglia	72
Sliding fast–slow dynamics in the slowly forced Duffing system with frequency switching	72
Mathematical modeling of operation loop ratio and its effect in combat networks	72
Analytical derivation of delayed prey–predator model with hunting-and-resting delay	72
The impact of memory reputation-induced tax and reward allocation on spatial public goods games	72
Design of chaotic Young's double slit experiment optimization heuristics for identification of nonlinear muscle model with key term separation	71
Bifurcation and resonance of fractional cubic nonlinear system	71
Antisocial behavior-based environmental feedback in spatial prisoner's dilemma game	69
Threshold dynamics: Formulation, stability & sensitivity analysis of co-abuse model of heroin and smoking	69
Dynamical responses of a Gaussian colored noise-driven shape memory alloy oscillator with a periodic force	69
Spiraling elliptic beam arrays in strongly nonlocal nonlinear media	68
Dynamics of non–identical coupled Chialvo neuron maps	68
An application of fixed point technique of Rothe’s-type to interpret the controllability criteria of neutral nonlinear fractional ordered impulsive system	68
Expanding the duopoly Stackelberg game with marginal costs into a multipoly game with lowering the burden of mathematical calculations: a numerical analysis	67
Competition of punishment and reward among inequity-averse individuals in spatial public goods games	67
Stochastic optimal control and piecewise parameterization and optimization method for inventory control system improvement	66
Multistability and bifurcation analysis for a three-strategy game system with public goods feedback and discrete delays	66
Time-delay neural network observer-based adaptive finite-time prescribed performance control for nonlinear systems with unknown time-delay	66
Transformations of spike and burst oscillations in the stochastic Rulkov model	66
Impact of positive and negative information on epidemic spread in a three-layer network	65
Dynamical analysis, multi-cavity control and DSP implementation of a novel memristive autapse neuron model emulating brain behaviors	64
Dissipative solitons stabilized by nonlinear gradients in one spatial dimension: From deterministic to stochastic aspects, and a perspective	64
Stochastic admissibility and H∞	64
A rumor propagation model in multilingual environment with time and state dependent impulsive control	64
More efficient estimates viaℏ-discrete fractional calculus theory and applications	64
Large deviations approach to a one-dimensional, time-periodic stochastic model of pattern formation	64
Conservation laws and some new exact solutions for traffic flow model via symmetry analysis	64
A unified Maxwell model with time-varying viscosity via ψ-Caputo fr	64
Public goods game across multilayer populations with different densities	64
The dynamical analysis of non-uniform neocortical network model in up-down state oscillations	63
Turing–Hopf bifurcation in a general Selkov–Schnakenberg reaction–diffusion system	63
How multiple weak species jeopardise biodiversity in spatial rock–paper–scissors models	63
Multi-vortex beams in nonlinear media with harmonic potential wells	62
Lump and soliton on certain spatially-varying backgrounds for an integrable (3+1) dimensional fifth-order nonlinear oceanic wave model	62
Unknown-input pseudo-state observer synthesis for fractional-order systems: A geometric framework	61

On a new class of Atangana-Baleanu fractional Volterra-Fredholm integro-differential inclusions with non-instantaneous impulses	61
Class-oriented techniques for reconstruction of dynamics from time series	61
Comprehensive analysis of network robustness evaluation based on convolutional neural networks with spatial pyramid pooling	61
Large time behavior in a reaction diffusion epidemic model with logistic source	60
A new technique for solving a class of strongly nonlinear oscillatory equations	60
Convective instability of nanofluids in vertical circular porous microchannels	60
Fractal structure of the soliton scattering for the graphene superlattice equation	60
On a study of some classes of the fourth-order KdV–Klein/Gordon equation and its time fractional forms	60
Collective canard explosions of globally-coupled rotators with adaptive coupling	59
Improved results of asynchronous mixed H	59
Epidemic spreading in populations of mobile agents with adaptive behavioral response	59
Ambiplasma separation into matter and antimatter by a train of baryon-acoustic solitons in the problem of the baryon asymmetry of the Universe	59
Stability and controllability results of ψ-Hilfer fractional integro-d	58
Chirped periodic waves for an cubic-quintic nonlinear Schrödinger equation with self steepening and higher order nonlinearities	58
Image encryption algorithm by fractional based chaotic system and framelet transform	58
Manifestation of interval uncertainties for fractional differential equations under conformable derivative	58
A new five-dimensional non-Hamiltonian conservative hyperchaos system with multistability and transient properties	58
Identifying influential nodes in social networks via improved Laplacian centrality	57
Applying fractional quantum mechanics to systems with electrical screening effects	57
Robustness of the absolute Rosenau–Hyman|K	57
Temporal link prediction based on node dynamics	57
Coupling resonance of signal responses induced by heterogeneously mixed positive and negative couplings in cognitive subnetworks	57
Action potential solitons and waves in axons	56
Effects of electric field on multiple vibrational resonances in Hindmarsh-Rose neuronal systems	56
Feedback control of chaos in impact oscillator with multiple time-delays	55
Generalized FitzHugh–Nagumo model with tristable dynamics: Deterministic and stochastic bifurcations	55
Aging transition under discrete time-dependent coupling: Restoring rhythmicity from aging	55
Multi-affine visible height correlation analysis for revealing rich structures of fractal time series	55
Heterogeneous parallel computing based real-time chaotic video encryption and its application to drone-oriented secure communication	55
A hybrid artificial neural network for the generation of critical fluctuations and inter-spike intervals	55
Multifractal risk measures by Macroeconophysics perspective: The case of Brazilian inflation dynamics	54
Chaotic Complex Hashing: A simple chaotic keyed hash function based on complex quadratic map	54
Dynamics of an autonomous electromechanical pendulum-like system with experimentation	54
Stability and bifurcations in a discrete-time SIVS model with saturated incidence rate	54
A new intervention strategy for an HIV/AIDS transmission by a general fractional modeling and an optimal control approach	54
A novel blood glucose time series prediction framework based on a novel signal decomposition method	54
Optimal pruned tree-cut mapping-based fast shielding for large-scale networks	53
Multistability, quasiperiodicity and chaos in a self-oscillating ring dynamical system with three degrees of freedom based on the van der Pol generator	52
COVID-19 dynamics and immune response: Linking within-host and between-host dynamics	52
Supporting punishment via taxation in a structured population	52
Large-scale robustness-oriented efficient edge addition through traversal tree-based weak edge identification	52
Coevolutionary dynamics of feedback-evolving games in structured populations	52
Quantitative orbit classification of the planar restricted three-body problem with application to the motion of a satellite around Jupiter	52
Critical station identification and robustness analysis of urban rail transit networks based on comprehensive vote-rank algorithm	52
Keeping or reversing social norms promote cooperation by enhancing indirect reciprocity	52
DC-offset-induced hidden and asymmetric dynamics in Memristive Chua's circuit	52
A novel nonlinear automated multi-class skin lesion detection system using soft-attention based convolutional neural networks	51
Soliton, breather and rogue wave solutions of the higher-order modified Gerdjikov–Ivanov equation	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
Chaos control of fractional order nonlinear Bloch equation by utilizing sliding mode controller	51
Bursting oscillations with bifurcations of chaotic attractors in a modified Chua’s circuit	51
Symmetric and asymmetric bursting oscillations in a hybrid van der Pol-Duffing-Rayleigh system	51
A multifractal formalism for new general fractal measures	51
A self-organized criticality participative pricing mechanism for selling zero-marginal cost products	50
Overcoming the snaking instability and nucleation of dark solitons in nonlinear Kerr media by spatially inhomogeneous defocusing nonlinearity	50
Editorial Board	50
Implementation of q-calculus on q-integro-differential equation involving anti-periodic boundary conditions with three criteria	50
Editorial Board	50
LMI based stability condition for delta fractional order system with sector approximation	50
Fixed-time nonlinear-filter-based consensus control for nonlinear multiagent systems	50
Stringency without efficiency is not adequate to combat pandemics	50
Simultaneously primary and super-harmonic resonance of a van der Pol oscillator with fractional-order derivative	49
Radially inflows and outflows of non-Newtonian Ree-Eyring fluid between two narrow disks with temperature-dependent viscosity	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
Stochastic volatility model with long memory for water quantity-quality dynamics	49
Approximate-Analytical solution to the information measure’s based quanto option pricing model	49
Study of periodic diffusion and time delay induced spatiotemporal patterns in a predator-prey system	48
A stochastic hormesis Ricker model and its application to multiple fields	48
Mathematical modeling approach of cancer immunoediting reveals new insights in targeted-therapy and timing plan of cancer treatment	48
A chaotic two-dimensional image classification algorithm based on convolutional neural networks	48
Probabilistic analysis of the steady state of weakly perturbed linear oscillators subject to a class of Gaussian inputs	48
Understanding route choice behaviors' impact on traffic throughput in a dynamic transportation network	47
Complete aging in the noisy voter model enhances consensus formation	47
Stability of delayed switched systems involving impulses: State-dependent switching control approach	47
Nonlinear modeling of sparkling drink bubbles using a physics informed long short term memory network	47
Three-dimensional m-HR neuron model and its application in medical image encryption	47
Vector annular rogue wave quartets and sextets	47
Stability and complexity evaluation of attractors in a controllable piezoelectric Fitzhugh-Nagumo circuit	46
An efficient 2D hyper chaos and DNA encoding-based s-box generation method using chaotic evolutionary improvement algorithm for nonlinearity	46
Routes to chaos and bistability in the Rypdal model with a parametric disturbance	46

Chaos quasi-opposition sea-horse based modified new tilt controller designed for multi-area deregulated AGC using deep learning against cyber-attacks	46
The spatially homogeneous hopf bifurcation induced jointly by memory and general delays in a diffusive system	46
Stability and decay of composite kinks/Q-balls solutions in a defo	46
Global dynamics of ILSR rumor spreading model with general nonlinear spreading rate in multi-lingual environment	45
A novel simultaneous permutation–diffusion image encryption scheme based on a discrete space map	45
Robust global fixed-time synchronization of different dimensions fractional-order chaotic systems	45
Global dynamics of a network-based SIQS epidemic model with nonmonotone incidence rate	45
Dispersion entropy for graph signals	45
Polarized electric field-induced drift of spiral waves in discontinuous cardiac media	45
Turing patterns in systems with high-order interactions	44
Cold-start link prediction integrating community information via multi-nonnegative matrix factorization	44
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	44
The chaotic, self-similar and hierarchical patterns in Bitcoin and Ethereum price series	44
On solutions of an obesity model in the light of new type fractional derivatives	44
Data-driven fault-tolerant control for nonlinear systems with output saturation	44
Epidemic dynamics in homes and destinations under recurrent mobility patterns	44
Evolutionary games on simplicial complexes	44
Qualitative analysis on a reaction–diffusion SIS epidemic model with nonlinear incidence and Dirichlet boundary	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
Pseudo-phase difference guides additional connection between oscillators for synchrony	43
Remarkable results obtained when studying a question concerning the invariant set of an IFS	43
A new approach to measure the fractal dimension of a trajectory in the high-dimensional phase space	43
Scaling properties and height distributions of persisting roughness in the discrete growth models in the presence of the angle of repose	43
Numerical analysis of variable fractional viscoelastic column based on two-dimensional Legendre wavelets algorithm	43
Projections and fractional dynamics of the typhoid fever: A case study of Mbandjock in the Centre Region of Cameroon	43
Data-assimilation and state estimation for contact-based spreading processes using the ensemble kalman filter: Application to COVID-19	42
Long- and short-term effects of cross-immunity in epidemic dynamics	42
The cellular automata inside optical chimera states	42
New coherent structures and interaction behavior for the new (	42
Dynamically selected steady states and criticality in non-reciprocal networks	42
A study on Zika–Dengue coinfection model with microcephaly newborn dynamics	42
Scaling properties of a class of interfacial singular equations	41
De Broglie waves and nuclear element interaction; Abundant waves structures of the nonlinear fractional Phi-four equation	41
An innovative orthogonal matrix based on nonlinear chaotic system for compressive sensing	41
A statistical moment-based spectral approach to the chance-constrained stochastic optimal control of epidemic models	41
Stability analysis of an axially moving viscoelastic beam under transverse magnetic fields and thermal loads	41
“Phase transitions” in small systems: Why standard threshold definitions fail for nanolasers	41
Exploring the relationship between the spatial distribution of roads and universal pattern of travel-route efficiency in urban road networks	41
Global multistability and mechanisms of a memristive autapse-based Filippov Hindmash-Rose neuron model	41
Nonlinear wave excitations in the (2+1)-D asymmetric Nizhnik-Novikov-Veselov system	40
Dynamics of bouncing convex body	40
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	40
Synchronization of directly coupled complex networks with multiweights and multiple delays	40
Existence of chaos in controlled first-order partial difference equations with general delay controllers	40
Controllability of Hilfer fractional neutral impulsive stochastic delayed differential equations with nonlocal conditions	40
Management of the discrete eigenvalues of the nonlinear Schrödinger equation using periodic dispersion perturbation	40
Chaos emerges from coexisting homoclinic cycles for a class of 3D piecewise systems	40
Geometric phase and Wehrl phase entropy for two superconducting qubits in a coherent field system under the effect of nonlinear medium	40
Effect of heterogeneities in two-populations of globally coupled phase oscillators with higher-order interaction	40
Emergence of relaxation beat-waves in genuinely nonlinear Klein-Gordon chain with bi-harmonic parametric excitation	39
Growth feedback confers cooperativity in resource-competing synthetic gene circuits	39
Neural network models and shapley additive explanations for a beam-ring structure	39
Learning the chaotic and regular nature of trajectories in Hamiltonian systems with Lagrangian descriptors	39
Exploring ring dark soliton dynamics in Rydberg-dressed Bose–Einstein condensate	39
Analyzing the stability of fractal delay differential equations	38
Obesity and Alzheimer’s: An attempt to decipher the role of obesity in blood–brain barrier degradation	38
Mathematical analysis of global dynamics and optimal control of treatment for an age-structured HBV infection model	38
Statistics of remote regions of networks	38
Early warning signal of abrupt change in sea level pressure based on changing spectral exponent	38
Dark and antidark solitons on continuous and doubly periodic backgrounds in the space-shifted nonlocal nonlinear Schrödinger equation	38
A visit generation process for human mobility random graphs with location-specific latent-variables: From land use to travel demand	38
A novel approach to estimated Boulingand-Minkowski fractal dimension from complex networks	38
Analytical solutions for the short-term plasticity	38
Nonlinear Rayleigh-Bénard magnetoconvection of a weakly electrically conducting Newtonian liquid in shallow cylindrical enclosures	38
Noise and delay enhanced stability in tumor-immune responses to chemotherapy system	38
Successive lag synchronization of heterogeneous distributed-order coupled neural networks with unbounded delayed coupling	37
Pattern Formation and analysis of reaction–diffusion ratio-dependent prey–predator model with harvesting in predator	37
Allee effect in models of interacting species	37
The rise and fall of donation behavior through reputation	37
Control energy scaling for target control of complex networks	37
Optical crystals and light-bullets in Kerr resonators	37
Simulation of non-transmural ablation lines that effectively block electrical signal propagation in the heart	37
Deep neural networks-based output-dependent intermittent control for a class of uncertain nonlinear systems	37
Pure-quartic soliton self-frequency shift in a mode-locked fiber laser	37
Scalar and vector electromagnetic solitary waves in nonlinear hyperbolic media	36
Stochastically drifted Brownian motion for self-propelled particles	36
Competition of alliances in a cyclically dominant eight-species population	36
Filtering induced explosive death in coupled FitzHugh–Nagumo neurons: Theory and experiment	36
Flatness-based real-time control of experimental analog chaotic oscillators	36
A flexible-predefined-time convergence and noise-suppression ZNN for solving time-variant Sylvester equation and its application to robotic arm	36
Heterogeneous propagation processes between awareness and epidemic on signed multiplex networks	36
A parameter space method for analyzing Hopf bifurcation of fractional-order nonlinear systems with multiple-parameter	36
A unique self-driven 5D hyperjerk circuit with hyperbolic sine function: Hyperchaos with three positive exponents, complex transient behavior and coexisting attractors	36
Neuromorphic dynamics near the edge of chaos in memristive neurons	36
Random attractors for fractional stochastic reaction–diffusion systems with fractional Brownian motion	36
A tristable locally-active memristor and its complex dynamics	36
A new conservative chaotic system and its application in image encryption	35
Phase locking of ultra-low power consumption stochastic magnetic bits induced by colored noise	35
On the localization of Hutchinson–Barnsley fractals	35
Dark matter-wave gap solitons of Bose-Einstein condensates trapped in optical lattices with competing cubic-quintic nonlinearities	35
Bifurcation analysis of a non linear 6D financial system with three time delay feedback	35
A study on eco-epidemiological model with fractional operators	35
Pinning synchronization of multiple fractional-order fuzzy complex-valued delayed spatiotemporal neural networks	35
Stability and adaptive control-based synchronization of delayed uncertain fractional-order gene regulatory networks	35
Stationary optical solitons with nonlinear chromatic dispersion and generalized temporal evolution by extended trial function approach	35