Chaos Solitons & Fractals

Papers
(The TQCC of Chaos Solitons & Fractals is 10. 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 2021-04-01 to 2025-04-01.)
ArticleCitations
Classical Rabi oscillations induced by unbalanced dissipation on a nonlinear dimer177
Large-scale robustness-oriented efficient edge addition through traversal tree-based weak edge identification174
Optimal pruned tree-cut mapping-based fast shielding for large-scale networks161
Optimal impulsive blood glucose control through multiple injections129
A class of computational approaches for simulating fractional functional differential equations via Dickson polynomials126
Developing a novel mucociliary clearance boundary condition (MCBC) to simulate micro-scale particle transfers inside the respiratory tract system without generating extra computational cells125
Response solutions for a kind of quasi-periodic forced neuron system122
Generalized compacton equation, conservation laws and exact solutions117
Editorial Board112
A novel parameter for nonequilibrium analysis in reconstructed state spaces107
Collective canard explosions of globally-coupled rotators with adaptive coupling107
Global existence of unique solutions to equations for pattern formation in active mixtures104
Two neural-network-based methods for solving elliptic obstacle problems103
Dynamical behaviours of a delayed diffusive eco-epidemiological model with fear effect100
Bifurcation and chaos in one dimensional chains of small particles99
Dynamical analysis on a size-structured population model of Daphnia with delayed birth process99
A delayed fractional-order tumor virotherapy model: Stability and Hopf bifurcation98
Synchronization of multiple mobile reservoir computing oscillators in complex networks97
Riemann boundary value problem on non-rectifiable curves with torsion points97
The dynamical analysis of non-uniform neocortical network model in up-down state oscillations97
Crossing limit cycles for discontinuous piecewise differential systems formed by linear Hamiltonian saddles or linear centers separated by a conic94
On symmetric gH-derivative: Applications to dual interval-valued optimization problems93
Controlling subharmonic resonance and chaos by a fast forcing in a van der Pol–Duffing oscillator with parametrically excited damping91
From absolute equilibrium to Kardar–Parisi–Zhang crossover: A short review of recent developments91
Emergent magnetic field and vector potential of the toroidal magnetic hopfions91
Capture of stochastic P-bifurcation in a delayed mechanical centrifugal governor90
Existence and uniqueness of blow-up solution to a fully fractional thermostat model89
Approximation-solvability of population biology systems based on p-Laplacian elliptic inequalities88
Robust limit cycle control for finite-time generation of sustained oscillations in nonlinear systems with mixed dead-zone and saturation86
Editorial Board84
Unraveling the effects of network, direct and indirect reciprocity in online societies84
The role of Far-Sighted agents on the evolution of cooperation in social dilemma83
A discrete Darboux–Lax scheme for integrable difference equations82
Principle of least effort vs. maximum efficiency: deriving Zipf-Pareto's laws81
Statistical properties of mutualistic-competitive random networks81
Comment on the paper “An efficient numerical scheme for fractional characterization of MHD fluid model, Muhammad Hamid, Muhammad Usman, Yaping Yan, Zhenfu Tian, Chaos, Solitons and Fractals, 2022, 16281
On the global polynomial stabilization and observation with optimal decay rate80
On fractional impulsive system for methanol detoxification in human body79
On the co-complex-type k-Fibonacci numbers79
Bayesian inversion for a fractional Lotka-Volterra model: An application of Canadian lynx vs. snowshoe hares79
Quantifying the status of economies in international crop trade networks: A correlation structure analysis of various node-ranking metrics79
Editorial Board78
Cascading 1D-Convnet Bidirectional Long Short Term Memory Network with Modified COCOB Optimizer: A Novel Approach for Protein Secondary Structure Prediction78
A nonlinear optimal control problem with an application to optimal dosing of cytotoxic drugs77
A novel room-based epidemic model: Quarantine, testing, and vaccination strategies77
Sources of multifractality of the brain rs-fMRI signal76
A Peano-based space-filling surface of fractal dimension three76
Cellular transport through nonlinear mechanical waves in fibrous and absorbing biological tissues76
Editorial Board72
Spatial optical soliton cluster solutions in strongly nonlocal nonlinear media72
A new technique for solving a class of strongly nonlinear oscillatory equations72
Swarm intelligence for protecting sensitive identities in complex networks71
Stationary distribution and bifurcation analysis for a stochastic SIS model with nonlinear incidence and degenerate diffusion71
Exploring cognitive inertia in opinion dynamics using an activity-driven model70
Application of modular and sparse complex networks in enhancing connectivity patterns of liquid state machines69
The fractional nonlinear magnetoinductive impurity69
On the number of equilibria of the replicator-mutator dynamics for noisy social dilemmas68
Turing-like patterns induced by the competition between two stable states in a discrete-time predator–prey model68
Corrigendum to “A new population model for urban infestations” [Chaos, Solit. Fractals 175 (2023) 113939]68
Approximation of fixed points and fractal functions by means of different iterative algorithms68
Impact of dynamic compensation with resource feedback on the common pool resource game67
Corrigendum to “Blockchain metrics and indicators in cryptocurrency trading” [Chaos Solit. Fractals 178 (2024) 114305]66
Ising game on graphs66
Evolution of Turing patterns of a predator–prey system with variable carrying capacity and harvesting65
Dynamically controllable two-color electromagnetically induced grating via spatially modulated inelastic two-wave mixing65
The stability and collision dynamics of quantum droplets in PT-symmetric optical lattices64
On the evolution and importance of the Fibonacci sequence in visualization of fractals64
Elastic interaction of second-order rogue matter waves for the modified Gross–Pitaevskii equation with time-dependent trapping potential and gain/loss63
Filtered rays over iterated absolute differences on layers of integers63
On an impulsive faecal-oral model in a periodically evolving environment63
Oscillations in SIR behavioural epidemic models: The interplay between behaviour and overexposure to infection63
Detecting bifurcations in a fractional-order neural network with nonidentical delays via Cramer’s rule63
Dynamic behavior of variable mass R4BP with radiating and oblate primaries63
Exploration of bifurcation and stability in a class of fractional-order super-double-ring neural network with two shared neurons and multiple delays63
Action potential solitons and waves in axons62
Bifurcation analysis of a synthetic drugs model affected by multiple factors62
Stochastic optimal control and piecewise parameterization and optimization method for inventory control system improvement62
Efficient solutions for fractional Tsunami shallow-water mathematical model: A comparative study via semi analytical techniques62
A generic impulsive controller for Hamiltonian time-independent systems62
Statistical mechanical characterization of billiard systems61
Mean-square exponential input-to-state stability for stochastic neutral-type quaternion-valued neural networks via Itô’s formula of quaternion version61
Spiral waves in fractal dimensions and their elimination in λ − ω systems with less damaging intervention61
Synchronization of complex dynamic networks with packet loss: A novel intermittent pinning impulsive control approach60
Research on cascading failure based on high-order neighbors and residual capacities load redistribution process60
Noether symmetries, conservation laws and Painleve analysis for a Cargo-LeRoux model with the Chaplygin gas in Lagrange variables60
A complex network approach to identifying and characterizing vital voids in the particle packing of caved ore and rock60
Persistent homology approach for uncovering transitions to Chaos59
A nonlinear scattering length formula in the p-Laplacian framework59
Nonlinear dynamics of the actuated fluidic pinball — Steady, periodic, and chaotic regimes59
Study on the dynamic characteristics of nonlinear stochastic double delay rotor-seal system59
Powered Wendroff-type integral inequality and application to fractional PDEs59
Application of global rational approximants method to solve nonlinear differential equations: Riccati equations, Logistic growth model and drug consumption model58
Advancing vulnerability assessment in critical infrastructure systems through higher-order cycles and community structures58
Role of electroosmotic and Darcy-Forchheimer Law on magnetohydrodynamic Williamson hybrid nanofluid flow over a moving thin needle58
Coevolutionary dynamics of feedback-evolving games in structured populations58
Short and long-range correlations in single-channel currents from inwardly rectifying K58
New insights on fractal–fractional integral inequalities: Hermite–Hadamard and Milne estimates58
Critical station identification and robustness analysis of urban rail transit networks based on comprehensive vote-rank algorithm57
Phase transition phenomena in social propagation with dynamic fashion tendency and individual contact57
Explosive synchronization in multiplex multiple timescale networks with higher-order interactions56
Spiking and bursting activities in an NLAM-based CNN cell56
A novel similarity measure based on dispersion-transition matrix and Jensen–Fisher divergence and its application on the detection of rail short-wave defects56
Derivation of vertical concentration profile for nonuniform sediment in suspension using Shannon entropy56
Efficient hybrid PageRank centrality computation for multilayer networks56
Using 0–1 test to diagnose periodic and chaotic motions of nonlinear vortex-induced vibration energy harvesters55
Prediction of excitable wave dynamics using machine learning55
Spectral approximated superconvergent methods for system of nonlinear Volterra Hammerstein integral equations55
Bifurcation, phase portrait, chaotic pattern and optical soliton solutions of the conformable Fokas–Lenells model in optical fibers54
Editorial Board54
Hidden coexisting hyperchaos of new memristive neuron model and its application in image encryption54
Periodic measure of a stochastic single-species model in periodic environments54
The Ising model with three atoms per site of the Bethe Lattice: Triatomic molecule54
The role of alliance cooperation in spatial public goods game53
Multiscale entropy analysis of monthly rainfall time series in Paraíba, Brazil53
A family of nonlinear Schrodinger equations and their solitons solutions52
Nonlinear fractional dynamics with Kicks52
Stability analysis and optimal control of rumor spreading model under media coverage considering time delay and pulse vaccination52
Electromagnetohydrodynamic effects with single-walled carbon nanotubes particles in a corrugated microchannel52
A light-fueled self-oscillating liquid crystal elastomer balloon with self-shading effect52
Optimal tuning of support vector machines and k-NN algorithm by using Bayesian optimization for newborn cry signal diagnosis based on audio signal processing features52
Critical behavior of a semilinear time fractional diffusion equation with forcing term depending on time and space52
Network-wide traffic state reconstruction: An integrated generative adversarial network framework with structural deep network embedding52
Dynamical behavior of a stochastic regime-switching epidemic model with logistic growth and saturated incidence rate52
Identifying influential nodes in complex networks based on spreading probability51
New equilibria of non-autonomous discrete dynamical systems51
Synchronization generations and transitions in two map-based neurons coupled with locally active memristor51
Memristor initial-boosted extreme multistability in the novel dual-memristor hyperchaotic maps50
Solitons and modulation instability of the perturbed Gerdjikov–Ivanov equation with spatio-temporal dispersion49
A multifractal formalism for new general fractal measures49
Intermittent boundary control for fixed-time stability of reaction–diffusion systems49
Regularized Perona & Malik model involving Caputo time-fractional derivative with application to image denoising49
Stochastic resonance in gene transcriptional regulatory system driven by Gaussian noise and Lévy noise49
Chaos control of fractional order nonlinear Bloch equation by utilizing sliding mode controller49
Chaotic dynamics of off-equatorial orbits around pseudo-Newtonian compact objects with dipolar halos49
Topological properties and wave structures of Gilson–Pickering equation49
Exploring a family of Bernoulli-like shift chaotic maps and its amplitude control49
Finite-time synchronization for delayed BAM neural networks by the approach of the same structural functions49
Dynamical behavior of chirped periodic and self-similar solitary waves in a nonlocal nonlinear saturable media48
Dynamics of a diffusive predator–prey model with nonlocal fear effect48
Exponential stabilization of chaotic systems based on fuzzy time-triggered intermittent control48
The impact of the self-recognition ability and physical quality on coupled negative information-behavior-epidemic dynamics in multiplex networks48
Nonreciprocal unconventional photon blockade via Barnett effect in a hybrid cavity magnonic system48
Synchronization of spatiotemporal chaos and reservoir computing via scalar signals48
Dynamic model of vibrating plate coupled with a granule bed48
Dynamics of chaotic waterwheel model with the asymmetric flow within the frame of Caputo fractional operator48
Nonlinear distributed-order models: Adaptive synchronization, image encryption and circuit implementation48
Investigating the impact of memory effects on computer virus population dynamics: A fractal–fractional approach with numerical analysis48
A family of new generalized multi-scroll Hamiltonian conservative chaotic flows on invariant hypersurfaces and FPGA implementation47
Controllability of discrete-time semilinear Riemann–Liouville-like fractional equations47
Image encryption algorithm by fractional based chaotic system and framelet transform47
Evolution of polygonal crack patterns in mud when subjected to repeated wetting–drying cycles47
Reversible image-hiding algorithm based on singular value sampling and compressive sensing47
Promotion of cooperation mechanism on the stability of delay-induced host-generalist parasitoid model46
An asymptotic structure of the bifurcation boundary of the perturbed Painlevé-2 equation46
Pattern-detection in the global automotive industry: A manufacturer-supplier-product network analysis46
Novel fast fixed-time sliding mode trajectory tracking control for manipulator46
A new method for spatio-temporal transmission prediction of COVID-1946
Strict dissipativity synchronization for delayed static neural networks: An event-triggered scheme46
Complexity measures of high oscillations in phonocardiogram as biomarkers to distinguish between normal heart sound and pathological murmur46
Attaining herd immunity to a new infectious disease through multi-stage policies incentivising voluntary vaccination46
Temporal link prediction based on node dynamics46
Multipolar social systems: Measuring polarization beyond dichotomous contexts45
The influence of quasi-cooperative strategy on social dilemma evolution45
Multi-pole solitons in an inhomogeneous multi-component nonlinear optical medium45
Self-excited and hidden attractors in a multistable jerk system45
Two-dimensional non-autonomous neuron model with parameter-controlled multi-scroll chaotic attractors45
Novel chaotic colour image cryptosystem with deep learning45
Allee-induced bubbling phenomena in an interacting species model44
Impact of positive and negative information on epidemic spread in a three-layer network44
Supporting punishment via taxation in a structured population44
Localization and delocalization of light in synthetic photonic lattices with hybrid Bloch-Anderson modulations44
A new five-dimensional non-Hamiltonian conservative hyperchaos system with multistability and transient properties44
Epidemic trajectories and awareness diffusion among unequals in simplicial complexes44
Coexistence of attractors in a quasiperiodically forced Lozi map44
Improved results of asynchronous mixed H44
Multi-vector with nonlocal and non-singular kernel ultrashort optical solitons pulses waves in birefringent fibers43
Turing-Hopf bifurcation analysis and normal form of a diffusive Brusselator model with gene expression time delay43
Investigating overtaking collisions of solitary waves in the Schamel equation43
Dynamics of a PDE model with size-structure: Characterizing the growth and flocculation effects of unicellular algae43
Time and space generalized diffusion equation on graph/networks43
On a new class of Atangana-Baleanu fractional Volterra-Fredholm integro-differential inclusions with non-instantaneous impulses42
A sequential-path tree-based centrality for identifying influential spreaders in temporal networks42
Fractal interpolation over nonlinear partitions42
Complex-valued neural networks with time delays in the L42
A generalization of Müntz-Legendre polynomials and its implementation in optimal control of nonlinear fractional delay systems42
Epidemic spreading in populations of mobile agents with adaptive behavioral response42
Quasi-synchronization of multi-layer delayed neural networks with parameter mismatches via impulsive control41
Coexistence in a four-species food web model with general functional responses41
A practical leader–follower hybrid control scheme for wheeled mobile robots41
Improving demand forecasting in open systems with cartogram-enhanced deep learning41
Bound-state soliton gas as a limit of adiabatically growing integrable turbulence41
Data-driven reconstruction of chaotic dynamical equations: The Hénon–Heiles type system41
Stability and Hopf bifurcation of a multiple delayed predator–prey system with fear effect, prey refuge and Crowley–Martin function41
Time-delayed feedback bistable stochastic resonance system and its application in the estimation of the Polyester Filament Yarn tension in the spinning process40
Application of a vibration resonance-assisted enhanced feedforward cascaded stochastic resonance system in bearing diagnostics40
Robustness of hypergraph under attack with limited information based on percolation theory40
Interaction uncertainty in financial networks40
Dynamics of a stochastic prey–predator system with prey refuge, predation fear and its carry-over effects40
Maximal canards in a slow–fast Rosenzweig–MacArthur model with intraspecific competition among predators40
Vortex light bullets in rotating Quasi-Phase-Matched photonic crystals40
Editorial Board40
Coevolution of non-pharmaceutical interventions and infectious disease spreading in age-structured populations40
Nonclassical effects in a nonlinear two trapped-particles system under intrinsic decoherence40
Adaptive fault-tolerant double asynchronous control for switched semi-Markov jump systems via improved memory sampled-data technique39
Identifying influential airports in airline network based on failure risk factors with TOPSIS39
Unequal-step multiscale integrated mapping dispersion Lempel-Ziv complexity: A novel complexity metric for signal analysis39
Exploring social networks through stochastic multilayer graph modeling39
Electronic implementation of simplicial complexes39
Dynamics of a reaction-diffusion fractional-order model for M1 oncolytic virotherapy with CTL immune response39
High-order compact finite difference schemes for the time-fractional Black-Scholes model governing European options39
A flexible grey Fourier model based on integral matching for forecasting seasonal PM2.5 time series39
Image encryption-then-transmission combining random sub-block scrambling and loop DNA algorithm in an optical chaotic system38
A novel approach for solving linear and nonlinear time-fractional Schrödinger equations38
Nonlinear ion acoustic waves in dense magnetoplasmas: Analyzing interaction solutions of the KdV equation using Wronskian formalism for electron trapping with Landau diamagnetism and thermal excitatio38
Comparative analysis of low-frequency noise based resistive switching phenomenon for filamentary and interfacial RRAM devices38
Revisiting the dynamic of q-deformed logistic maps38
Modeling the dynamic of COVID-19 with different types of transmissions38
On the dynamical stochastic electrostatic noise fluctuations in Zakharov model38
A fractal fractional model for computer virus dynamics38
Analysis of complex dynamical behavior in a mixed duopoly model with heterogeneous goods37
Understanding the effects of individual awareness and vector controls on malaria transmission dynamics using multiple optimal control37
Soliton solutions of a novel nonlocal Hirota system and a nonlocal complex modified Korteweg–de Vries equation37
Bursting oscillations with bifurcations of chaotic attractors in a modified Chua’s circuit37
Generalized divergences for statistical evaluation of uncertainty in long-memory processes37
Fault estimation and tolerant bumpless transfer control for switched systems37
Output tracking control for state-dependent switched systems with input delay37
Discrete quantum droplets in one-dimensional binary Bose–Einstein condensates37
Stochastic SIR model predicts the evolution of COVID-19 epidemics from public health and wastewater data in small and medium-sized municipalities: A one year study37
Hopf bifurcation mechanism analysis in an improved cortex-basal ganglia network with distributed delays: An application to Parkinson’s disease36
Lump and soliton on certain spatially-varying backgrounds for an integrable (3+1) dimensional fifth-order nonlinear oceanic wave model36
Machine learning-driven exogenous neural architecture for nonlinear fractional cybersecurity awareness model in mobile malware propagation36
A novel semi local measure of identifying influential nodes in complex networks36
An evidence-accumulating drift–diffusion model of competing information spread on networks36
Energy and self-adaption in a memristive map neuron36
Finite-timeSp36
Theoretical analysis and adaptive high-energy orbit control of symmetric tri-stable energy harvesters with nonlinear damping36
Motor unit synchronization and firing rate correlate with the fractal dimension of the surface EMG: A validation study35
Modelling and simulations of the SEIR and Blood Coagulation systems using Atangana-Baleanu-Caputo derivative35
Degn–Harrison map: Dynamical and network behaviours with applications in image encryption35
Dynamics diagnosis of the COVID-19 deaths using the Pearson diagram35
A kinetic framework under the action of an external force field: Analysis and application in epidemiology35
Complex dynamics from heterogeneous coupling and electromagnetic effect on two neurons: Application in images encryption35
Reliability modeling of uncertain random fractional differential systems with competitive failures35
The impact of plankton body size on phytoplankton-zooplankton dynamics in the absence and presence of stochastic environmental fluctuation35
Transition from localized to mean field behaviour of cascading failures in the fiber bundle model on complex networks34
Quadratic fractional solitons34
Emergence of chaotic hysteresis in a second-order non-autonomous chaotic circuit34
Bifurcation and resonance of fractional cubic nonlinear system34
Analysis of MHD Couette flow by fractal-fractional differential operators34
Synchronization of Kuramoto–Sakaguchi model with the distributed time-delayed interactions34
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