Chaos Solitons & Fractals

Article	Citations
Discrete scaling and criticality in a chain of adaptive excitable integrators	190
Wada boundaries on a hyperbolic pair of pants	182
Applying chaos indicators to Bianchi cosmological models	142
Dynamics by control strategies targeting the effective reproduction number	127
A novel similarity measure based on dispersion-transition matrix and Jensen–Fisher divergence and its application on the detection of rail short-wave defects	119
Filtered rays over iterated absolute differences on layers of integers	116
Nonreciprocal unconventional photon blockade via Barnett effect in a hybrid cavity magnonic system	116
Fractal correlations in the Covid-19 genome sequence via multivariate rescaled range analysis	113
The stability and collision dynamics of quantum droplets in PT-symmetric optical lattices	113
Editorial Board	112
Finite-time synchronization for delayed BAM neural networks by the approach of the same structural functions	105
Fractal structure of the soliton scattering for the graphene superlattice equation	103
Stabilization of multi-link delayed neutral-type complex networks with jump diffusion via aperiodically intermittent control	100
Comment on “Non-integrability of the Trapped Ionic System”. by Georgi Georgiev	99
Traffic-driven explosive synchronization with adaptive local routing in complex networks	98
Discrete quantum droplets in one-dimensional binary Bose–Einstein condensates	98
A novel blood glucose time series prediction framework based on a novel signal decomposition method	95
COVID-19 dynamics and immune response: Linking within-host and between-host dynamics	95
Topological properties and wave structures of Gilson–Pickering equation	94
Antisocial behavior-based environmental feedback in spatial prisoner's dilemma game	93
Optimal pruned tree-cut mapping-based fast shielding for large-scale networks	91
Role of myocardial ischemia components in overdrive pacing of spiral waves	90
Stochastic admissibility and H∞	88
A unified Maxwell model with time-varying viscosity via ψ-Caputo fr	88
Analysis of Th1/Th2 response pattern with Treg cell inhibition and stochastic effect	87

Stability, convergence, and energy preservation robust methods for fully implicit and fully explicit coupling schemes	86
Analytical derivation of delayed prey–predator model with hunting-and-resting delay	86
Mathematical modeling of operation loop ratio and its effect in combat networks	86
Ricci soliton and relativistic thermodynamical fluid spacetime	86
The impact of memory reputation-induced tax and reward allocation on spatial public goods games	86
A study of bidirectional control of Parkinson’s beta oscillations by basal ganglia	83
Dynamics of non–identical coupled Chialvo neuron maps	82
An application of fixed point technique of Rothe’s-type to interpret the controllability criteria of neutral nonlinear fractional ordered impulsive system	82
Transformations of spike and burst oscillations in the stochastic Rulkov model	81
Expanding the duopoly Stackelberg game with marginal costs into a multipoly game with lowering the burden of mathematical calculations: a numerical analysis	81
Time series analysis of wildfire propagation in Chile: A complex networks approach	80
Multistability and bifurcation analysis for a three-strategy game system with public goods feedback and discrete delays	80
Conservation laws and some new exact solutions for traffic flow model via symmetry analysis	78
Time-delay neural network observer-based adaptive finite-time prescribed performance control for nonlinear systems with unknown time-delay	78
Dissipative solitons stabilized by nonlinear gradients in one spatial dimension: From deterministic to stochastic aspects, and a perspective	77
Large deviations approach to a one-dimensional, time-periodic stochastic model of pattern formation	76
How multiple weak species jeopardise biodiversity in spatial rock–paper–scissors models	75
The dynamical analysis of non-uniform neocortical network model in up-down state oscillations	75
Controlling chaotic oscillations in a symmetric two-mass model of the vocal folds	74
Application of QGA-MCKD and stochastic feedback pooling network in variable-condition bearing diagnostics	74
DC-offset-induced hidden and asymmetric dynamics in Memristive Chua's circuit	74
A hybrid artificial neural network for the generation of critical fluctuations and inter-spike intervals	73
Dynamics of an autonomous electromechanical pendulum-like system with experimentation	73
Stochastic optimal control and piecewise parameterization and optimization method for inventory control system improvement	73
Turing–Hopf bifurcation in a general Selkov–Schnakenberg reaction–diffusion system	73
Delta-shock solution for the nonhomogeneous Euler equations of compressible fluid flow with Born–Infeld equation of state	72
Nonlinear resonances in fast electronic circuits mimicking photonic oscillators	72
Multi-vortex beams in nonlinear media with harmonic potential wells	72
Temporal link prediction based on node dynamics	72
Lump and soliton on certain spatially-varying backgrounds for an integrable (3+1) dimensional fifth-order nonlinear oceanic wave model	70
Unknown-input pseudo-state observer synthesis for fractional-order systems: A geometric framework	70
Manifestation of interval uncertainties for fractional differential equations under conformable derivative	70
Keeping or reversing social norms promote cooperation by enhancing indirect reciprocity	69
Ambiplasma separation into matter and antimatter by a train of baryon-acoustic solitons in the problem of the baryon asymmetry of the Universe	69
A new technique for solving a class of strongly nonlinear oscillatory equations	69
Modulating propagation of Parkinsonian beta oscillations with transcranial direct current stimulation: A computational study	68
Critical station identification and robustness analysis of urban rail transit networks based on comprehensive vote-rank algorithm	68
Solution of non-autonomous impulsive evolution equation in reflexive Banach spaces	68
Robustness of the absolute Rosenau–Hyman|K	68
Image encryption algorithm by fractional based chaotic system and framelet transform	68
Bursting oscillations with bifurcations of chaotic attractors in a modified Chua’s circuit	68
Multi-affine visible height correlation analysis for revealing rich structures of fractal time series	68
Driven transitions between megastable quantized orbits	67
Self-organization and evolution of structure and function in cultured neuronal networks	66
Integral resonant negative derivative feedback suppression control strategy for nonlinear dynamic vibration behavior model	66
Nondegenerate three-hump solitons for the nonlinear Schrödinger equations in optics	66
Hopf bifurcation of the recurrent infectious disease model with disease age and two delays	66
A new five-dimensional non-Hamiltonian conservative hyperchaos system with multistability and transient properties	65
Stability and controllability results of ψ-Hilfer fractional integro-d	65
Quantitative orbit classification of the planar restricted three-body problem with application to the motion of a satellite around Jupiter	65

Efficient hybrid PageRank centrality computation for multilayer networks	64
Symmetric and asymmetric bursting oscillations in a hybrid van der Pol-Duffing-Rayleigh system	64
Multifractal risk measures by Macroeconophysics perspective: The case of Brazilian inflation dynamics	64
Emergent magnetic field and vector potential of the toroidal magnetic hopfions	63
Competition of punishment and reward among inequity-averse individuals in spatial public goods games	63
Derivation of vertical concentration profile for nonuniform sediment in suspension using Shannon entropy	63
Comprehensive analysis of network robustness evaluation based on convolutional neural networks with spatial pyramid pooling	63
Design of a novel memristor-modulated hyperchaotic map with differential variable input	62
Stable higher-charge vortex droplets governed by quantum fluctuations in three dimensions	62
Action potential solitons and waves in axons	62
Bifurcation and resonance of fractional cubic nonlinear system	61
Threshold dynamics: Formulation, stability & sensitivity analysis of co-abuse model of heroin and smoking	61
Stability and bifurcations in a discrete-time SIVS model with saturated incidence rate	61
Aging transition under discrete time-dependent coupling: Restoring rhythmicity from aging	61
A realizable chaotic system with interesting sets of equilibria, characteristics, and its underactuated predefined-time sliding mode control	61
Spiraling elliptic beam arrays in strongly nonlocal nonlinear media	60
Impact of positive and negative information on epidemic spread in a three-layer network	60
Dynamical responses of a Gaussian colored noise-driven shape memory alloy oscillator with a periodic force	60
Explosive synchronization in multiplex multiple timescale networks with higher-order interactions	59
Coupling resonance of signal responses induced by heterogeneously mixed positive and negative couplings in cognitive subnetworks	59
Echo effect in brain networks	59
Soliton, breather and rogue wave solutions of the higher-order modified Gerdjikov–Ivanov equation	58
Chaotic Complex Hashing: A simple chaotic keyed hash function based on complex quadratic map	58
Collective canard explosions of globally-coupled rotators with adaptive coupling	58
Spiking and bursting activities in an NLAM-based CNN cell	58
Dynamical and topological conditions triggering the spontaneous activation of Izhikevich neuronal networks	58
On symmetric gH-derivative: Applications to dual interval-valued optimization problems	58
Impact of individual activity on behavior adoption in complex networks: A two-layer generalized SAR model analysis	58
Effects of electric field on multiple vibrational resonances in Hindmarsh-Rose neuronal systems	58
Improved results of asynchronous mixed H	58
Feedback control of chaos in impact oscillator with multiple time-delays	57
Epidemic spreading in populations of mobile agents with adaptive behavioral response	57
Chaos control of fractional order nonlinear Bloch equation by utilizing sliding mode controller	57
Identifying influential nodes in social networks via improved Laplacian centrality	57
Generalized FitzHugh–Nagumo model with tristable dynamics: Deterministic and stochastic bifurcations	57
Controlling COVID-19 transmission with isolation of influential nodes	56
Large time behavior in a reaction diffusion epidemic model with logistic source	56
Supporting punishment via taxation in a structured population	56
Stochastic dynamics of hysteresis systems under harmonic and Poisson excitations	55
Design of chaotic Young's double slit experiment optimization heuristics for identification of nonlinear muscle model with key term separation	55
Dynamic model of vibrating plate coupled with a granule bed	55
Heterogeneous parallel computing based real-time chaotic video encryption and its application to drone-oriented secure communication	55
A rumor propagation model in multilingual environment with time and state dependent impulsive control	55
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	55
Applying fractional quantum mechanics to systems with electrical screening effects	54
A new intervention strategy for an HIV/AIDS transmission by a general fractional modeling and an optimal control approach	54
Public goods game across multilayer populations with different densities	54
A multifractal formalism for new general fractal measures	53
A novel nonlinear automated multi-class skin lesion detection system using soft-attention based convolutional neural networks	53
Sliding fast–slow dynamics in the slowly forced Duffing system with frequency switching	53
Dynamical analysis, multi-cavity control and DSP implementation of a novel memristive autapse neuron model emulating brain behaviors	53
Coevolutionary dynamics of feedback-evolving games in structured populations	53
Large-scale robustness-oriented efficient edge addition through traversal tree-based weak edge identification	53
Chirped periodic waves for an cubic-quintic nonlinear Schrödinger equation with self steepening and higher order nonlinearities	53
Editorial Board	52
Implementation of q-calculus on q-integro-differential equation involving anti-periodic boundary conditions with three criteria	52
Editorial Board	52
A chaotic two-dimensional image classification algorithm based on convolutional neural networks	52
LMI based stability condition for delta fractional order system with sector approximation	52
A stochastic hormesis Ricker model and its application to multiple fields	52
Vector annular rogue wave quartets and sextets	51
Stability and decay of composite kinks/Q-balls solutions in a defo	51
Complete aging in the noisy voter model enhances consensus formation	51
Stability of delayed switched systems involving impulses: State-dependent switching control approach	51
Probabilistic analysis of the steady state of weakly perturbed linear oscillators subject to a class of Gaussian inputs	51
Scaling properties and height distributions of persisting roughness in the discrete growth models in the presence of the angle of repose	50
Data-assimilation and state estimation for contact-based spreading processes using the ensemble kalman filter: Application to COVID-19	50
New coherent structures and interaction behavior for the new (	50
How colored noise impacts excitation and suppression of calcium oscillations: Stochastic sensitivity analysis	50
Remarkable results obtained when studying a question concerning the invariant set of an IFS	50
“Phase transitions” in small systems: Why standard threshold definitions fail for nanolasers	50
Pseudo-phase difference guides additional connection between oscillators for synchrony	50
Dispersion entropy for graph signals	50
Scaling properties of a class of interfacial singular equations	50
A statistical moment-based spectral approach to the chance-constrained stochastic optimal control of epidemic models	49
Analytical solutions for the short-term plasticity	49
Qualitative analysis on a reaction–diffusion SIS epidemic model with nonlinear incidence and Dirichlet boundary	49
Neural network models and shapley additive explanations for a beam-ring structure	49
Mathematical analysis of global dynamics and optimal control of treatment for an age-structured HBV infection model	49
Data-driven fault-tolerant control for nonlinear systems with output saturation	49

A numerical approach for a class of nonlinear optimal control problems with piecewise fractional derivative	49
Cold-start link prediction integrating community information via multi-nonnegative matrix factorization	48
Simultaneously primary and super-harmonic resonance of a van der Pol oscillator with fractional-order derivative	48
Phase transitions in operation of heterogeneous vehicles mixed with human-driven and connected autonomous vehicles under speed restriction circumstances	48
The cellular automata inside optical chimera states	48
Obesity and Alzheimer’s: An attempt to decipher the role of obesity in blood–brain barrier degradation	48
Bifurcation analysis of a modified FitzHugh-Nagumo neuron with electric field	47
Quantifying predictive knowledge: Wavelet energy α-divergence measu	47
Global dynamics of a network-based SIQS epidemic model with nonmonotone incidence rate	47
Effect of heterogeneities in two-populations of globally coupled phase oscillators with higher-order interaction	47
A study on eco-epidemiological model with fractional operators	47
Dynamically selected steady states and criticality in non-reciprocal networks	47
Control energy scaling for target control of complex networks	47
Chaos quasi-opposition sea-horse based modified new tilt controller designed for multi-area deregulated AGC using deep learning against cyber-attacks	46
Stability and adaptive control-based synchronization of delayed uncertain fractional-order gene regulatory networks	46
A parameter space method for analyzing Hopf bifurcation of fractional-order nonlinear systems with multiple-parameter	46
Combination of fractional-order, adaptive second order and non-singular terminal sliding mode controls for dynamical systems with uncertainty and under-actuation property	46
Pinning synchronization of multiple fractional-order fuzzy complex-valued delayed spatiotemporal neural networks	46
Filtering induced explosive death in coupled FitzHugh–Nagumo neurons: Theory and experiment	46
Heterogeneous propagation processes between awareness and epidemic on signed multiplex networks	46
Random attractors for fractional stochastic reaction–diffusion systems with fractional Brownian motion	45
Projections and fractional dynamics of the typhoid fever: A case study of Mbandjock in the Centre Region of Cameroon	45
An optimized and interpretable carbon price prediction: Explainable deep learning model	45
Synchronization of directly coupled complex networks with multiweights and multiple delays	45
Nonlinear Rayleigh-Bénard magnetoconvection of a weakly electrically conducting Newtonian liquid in shallow cylindrical enclosures	45
Fractal-fractional order mathematical vaccine model of COVID-19 under non-singular kernel	45
A flexible-predefined-time convergence and noise-suppression ZNN for solving time-variant Sylvester equation and its application to robotic arm	44
A novel simultaneous permutation–diffusion image encryption scheme based on a discrete space map	44
Geometric phase and Wehrl phase entropy for two superconducting qubits in a coherent field system under the effect of nonlinear medium	44
Fixed-time nonlinear-filter-based consensus control for nonlinear multiagent systems	43
Deep neural networks-based output-dependent intermittent control for a class of uncertain nonlinear systems	43
Exploring the relationship between the spatial distribution of roads and universal pattern of travel-route efficiency in urban road networks	43
Approximate-Analytical solution to the information measure’s based quanto option pricing model	43
Robust global fixed-time synchronization of different dimensions fractional-order chaotic systems	42
Competition of alliances in a cyclically dominant eight-species population	42
Learning the chaotic and regular nature of trajectories in Hamiltonian systems with Lagrangian descriptors	42
Statistics of remote regions of networks	42
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	42
Existence of chaos in controlled first-order partial difference equations with general delay controllers	42
Emergence of relaxation beat-waves in genuinely nonlinear Klein-Gordon chain with bi-harmonic parametric excitation	42
A novel approach to estimated Boulingand-Minkowski fractal dimension from complex networks	42
Management of the discrete eigenvalues of the nonlinear Schrödinger equation using periodic dispersion perturbation	42
Controllability of Hilfer fractional neutral impulsive stochastic delayed differential equations with nonlocal conditions	42
Dynamics of bouncing convex body	42
Growth feedback confers cooperativity in resource-competing synthetic gene circuits	42
Flatness-based real-time control of experimental analog chaotic oscillators	41
Overcoming the snaking instability and nucleation of dark solitons in nonlinear Kerr media by spatially inhomogeneous defocusing nonlinearity	41
A visit generation process for human mobility random graphs with location-specific latent-variables: From land use to travel demand	41
Understanding route choice behaviors' impact on traffic throughput in a dynamic transportation network	41
Early warning signal of abrupt change in sea level pressure based on changing spectral exponent	41
Study of periodic diffusion and time delay induced spatiotemporal patterns in a predator-prey system	41
Analyzing the stability of fractal delay differential equations	41
Quasi-projective synchronization of inertial complex-valued recurrent neural networks with mixed time-varying delay and mismatched parameters	41
A new approach to measure the fractal dimension of a trajectory in the high-dimensional phase space	41
Mathematical modeling approach of cancer immunoediting reveals new insights in targeted-therapy and timing plan of cancer treatment	41
Three dimensional mixed convection flow of hybrid casson nanofluid past a non-linear stretching surface: A modified Buongiorno’s model aspects	40
Nonlinear modeling of sparkling drink bubbles using a physics informed long short term memory network	40
Dark and antidark solitons on continuous and doubly periodic backgrounds in the space-shifted nonlocal nonlinear Schrödinger equation	40
Phase locking of ultra-low power consumption stochastic magnetic bits induced by colored noise	40
Bifurcation analysis of a non linear 6D financial system with three time delay feedback	40
A study on Zika–Dengue coinfection model with microcephaly newborn dynamics	40
A unique self-driven 5D hyperjerk circuit with hyperbolic sine function: Hyperchaos with three positive exponents, complex transient behavior and coexisting attractors	40
Successive lag synchronization of heterogeneous distributed-order coupled neural networks with unbounded delayed coupling	40
Global dynamics of ILSR rumor spreading model with general nonlinear spreading rate in multi-lingual environment	40
Simulation of non-transmural ablation lines that effectively block electrical signal propagation in the heart	39
Chaos emerges from coexisting homoclinic cycles for a class of 3D piecewise systems	39
The rise and fall of donation behavior through reputation	39
Dark matter-wave gap solitons of Bose-Einstein condensates trapped in optical lattices with competing cubic-quintic nonlinearities	39
Stochastic volatility model with long memory for water quantity-quality dynamics	39
Numerical approach and physical description for a two-capacitive neuron and its adaptive network dynamics	39
Pure-quartic soliton self-frequency shift in a mode-locked fiber laser	38
Scalar and vector electromagnetic solitary waves in nonlinear hyperbolic media	38
Dynamics of chirped similaritons on a continuous-wave background in weakly birefringent optical fibers	38
Emergent coordination without symmetry breaking in Minority Game via policy-based reinforcement learning	38
Allee effect in models of interacting species	38
Neuromorphic dynamics near the edge of chaos in memristive neurons	38
Dynamic behaviors of multiple-solitons in a magnetized dusty plasma	38
The spatially homogeneous hopf bifurcation induced jointly by memory and general delays in a diffusive system	38
On the localization of Hutchinson–Barnsley fractals	38
Optical crystals and light-bullets in Kerr resonators	38
Effect of nonlinearity of discrete Langevin model on behavior of extremes in generated time series	38
Charging free fermion quantum batteries	38
Stochastically drifted Brownian motion for self-propelled particles	38
A combination of classical and shifted Jacobi polynomials for two-dimensional time-fractional diffusion-wave equations	37
An efficient 2D hyper chaos and DNA encoding-based s-box generation method using chaotic evolutionary improvement algorithm for nonlinearity	37
Stringency without efficiency is not adequate to combat pandemics	37
Radially inflows and outflows of non-Newtonian Ree-Eyring fluid between two narrow disks with temperature-dependent viscosity	37
De Broglie waves and nuclear element interaction; Abundant waves structures of the nonlinear fractional Phi-four equation	37
Rigorous pointwise approximations of invariant densities for intermittent maps with a critical point	37
A singular value decomposition entropy approach to assess the impact of Covid-19 on the informational efficiency of the WTI crude oil market	37
Propagation phenomenon for bistable parabolic equation in space-periodic environment	37
Routes to chaos and bistability in the Rypdal model with a parametric disturbance	37
An innovative orthogonal matrix based on nonlinear chaotic system for compressive sensing	37
Polarized electric field-induced drift of spiral waves in discontinuous cardiac media	36
Dynamic analysis and bursting oscillation control of fractional-order permanent magnet synchronous motor system	36