Chaos

Article	Citations
Cyclonic and anticyclonic rotation in a cylinder cooled inhomogeneously on the top	119
A developed non-smooth coordinate transformation for general bilateral vibro-impact systems	97
A pressure-free long-time stable reduced-order model for two-dimensional Rayleigh–Bénard convection	86
Motion states identification of underwater glider based on complex networks and graph convolutional networks	63
Data-driven control of oscillator networks with population-level measurement	55
Lévy noise influences basin stability in a delayed vegetation-water dynamical system	53
Asymptotic theory of not completely integrable soliton equations	51
A bottom-up approach for recurrence detection based on sampling distance	49
Link prediction of the world container shipping network: A network structure perspective	49
Nonlinear Schrödinger waves in a disordered potential: Branched flow, spectrum diffusion, and rogue waves	48
Catalytic feed-forward explosive synchronization in multilayer networks	48
Potential grouping of nodes induced by higher-order structures in complex networks	44
Sparse identification of nonlinear dynamical systems via non-convex penalty least squares	42
Data-driven stochastic model for cross-interacting processes with different time scales	41
Locating saddle points using gradient extremals on manifolds adaptively revealed as point clouds	39
Adaptive integral alternating minimization method for robust learning of nonlinear dynamical systems from highly corrupted data	39
Dynamic stability of electric power grids: Tracking the interplay of the network structure, transmission losses, and voltage dynamics	38
An algorithm for simplified recurrence analysis	37
Synchronizing network systems in the presence of limited resources via edge snapping	37
Permutation group entropy: A new route to complexity for real-valued processes	37
Research on portfolio optimization under asymmetric power-law distribution of return tail	37
Impact of simplicial complexes on epidemic spreading in partially mapping activity-driven multiplex networks	36
Role reversal in a stage-structured prey–predator model with fear, delay, and carry-over effects	34
Quantum integrability and chaos in a periodic Toda lattice with balanced loss–gain	33
Hydrodynamic modulation instability triggered by a two-wave system	32

Exploration of soliton solutions and chaos analysis in thin-film ferroelectric materials	32
Modulational instability, generation, and evolution of rogue waves in the generalized fractional nonlinear Schrödinger equations with power-law nonlinearity and rational potentials	32
Chimeras in globally coupled oscillators: A review	32
Generalized weighted permutation entropy	31
Catalytic evolution of cooperation in a population with behavioral bimodality	31
Optimizing charge-balanced pulse stimulation for desynchronization	31
Non-parametric tests for serial dependence in time series based on asymptotic implementations of ordinal-pattern statistics	31
Quantifying fluctuations for dynamical power systems with stochastic excitations: A power spectral density-based method	31
Mathematical modeling of the Chilean riots of 2019: An epidemiological non-local approach	31
Impact of periodic vaccination in SEIRS seasonal model	31
Statistical performance of local attractor dimension estimators in non-Axiom A dynamical systems	31
Invariant tori in dissipative hyperchaos	29
Forecasting with an N-dimensional Langevin equation and a neural-ordinary differential equation	29
Absence of pure voltage instabilities in the third-order model of power grid dynamics	29
Reliable detection of directional couplings using cross-vector measures	29
Optimal time-varying coupling function can enhance synchronization in complex networks	28
Modeling language ideologies for the dynamics of languages in contact	28
Quasi-objective eddy visualization from sparse drifter data	28
Stochastic averaging for a type of fractional differential equations with multiplicative fractional Brownian motion	27
Unfolding the distribution of periodicity regions and diversity of chaotic attractors in the Chialvo neuron map	27
Symbolic regression via neural networks	27
A simulation-supported thought experiment for measuring low-dimensional chaotic systems subjected to parameter drift	27
Ordinal pattern transition networks in eye tracking reading signals	27
Asymmetrical dynamics of epidemic propagation and awareness diffusion in multiplex networks	27
Promoting synchrony of power grids by restructuring network topologies	27
Path-integral solution of MacArthur’s resource-competition model for large ecosystems with random species-resources couplings	27
Evolutionary dynamics of N-player sender-receiver game in networks with community structure	27
Deep learning enhanced dynamic mode decomposition	26
Universality and scaling in complex networks from periods of Chinese history	26
Memory-based parameterization with differentiable solver: Application to Lorenz ’96	26
First encounters on Watts–Strogatz networks and Barabási–Albert networks	26
Deterministic modeling of the diffusive memristor	26
Recurrent neural networks for dynamical systems: Applications to ordinary differential equations, collective motion, and hydrological modeling	26
Koopman and Perron–Frobenius operators on reproducing kernel Banach spaces	26
Complete synchronization of two spirals by a messenger wave in a reaction diffusion system	25
Complexity of couplings in multivariate time series via ordinal persistent homology	25
Evolution of trust in N-player trust games with loss assessment	25
Erratum: “Analysis of diagonals in cross recurrence plots between heart rate and systolic blood pressure during supine position and active standing in healthy adults” [Chaos 28, 085704 (2018)]	25
Fractional order-induced bifurcations in a delayed neural network with three neurons	25
Digital contact tracing on hypergraphs	25
Unconsciousness reconfigures modular brain network dynamics	24
Planetary influences on the solar cycle: A nonlinear dynamics approach	24
A generic model for pandemics in networks of communities and the role of vaccination	24
Conditions of acceleration and deceleration of the cancer cell growth under osmotic pressure	24
Inferring long memory using extreme events	24
Referee acknowledgment for 2021	24
Can the Doppler be useful for a benchmark analysis of the wave-like properties of memory-dependent telegraphers’ equation	24
Neural ODE to model and prognose thermoacoustic instability	24
The dynamics of a four-step feedback procedure to control chaos	24
Superconductivity coupling of harmonic resonant oscillators: Homogeneous and heterogeneous extreme multistability with multi-scrolls	24

Generalized network dismantling based on cost-aware source-sampling betweenness	23
Detection of Parkinson’s disease using nocturnal breathing signals based on multifractal detrended fluctuation analysis	23
Wavelet analysis for cyclic combustion dynamics of a multi-cylinder CRDI diesel engine fuelled with a blending of argemone biodiesel–diesel oil	23
Density evolution in stochastic dynamical systems with memory: A universal algorithm	23
Graph neural network for prediction of phase-ordering kinetics	23
Chaos–hyperchaos transition in three identical quorum-sensing mean-field coupled ring oscillators	23
Stability analysis of multiplayer games on adaptive simplicial complexes	23
Linear vs nonlinear transport during chaotic advection in fluid flows	23
A nonlinear journey from structural phase transitions to quantum annealing	22
Analyzing the channels of information dissemination: Investigating abrupt transitions in resource investment	22
A novel mechanism for ramping bursts based on slow negative feedback in model respiratory neurons	22
Epidemic dynamics with awareness cascade of positive and negative information on delayed multiplex networks	22
Instability of oscillations in the Rosenzweig–MacArthur model of one consumer and two resources	22
Control of seizure-like dynamics in neuronal populations with excitability adaptation related to ketogenic diet	22
A multiscale symbolic approach to decoding delta and ripple oscillation bands as biomarkers for epileptiform discharges	22
Machine-learning potential energy surfaces implications in photodissociation process	21
Fast algorithm to identify minimal patterns of synchrony through fibration symmetries in large directed networks	21
Mechanism of multistability in chaotic maps	21
Chemotaxis-driven stationary and oscillatory patterns in a diffusive HIV-1 model with CTL immune response and general sensitivity	21
Characteristics of price related fluctuations in non-fungible token (NFT) market	20
Hidden multi-scroll and coexisting self-excited attractors in optical injection semiconductor laser system: Its electronic control	20
Motifs-based link prediction for heterogeneous multilayer networks	20
Deep learning-based surrogate models for parametrized PDEs: Handling geometric variability through graph neural networks	20
Synchronization, clustering, and weak chimeras in a densely coupled transcription-based oscillator model for split circadian rhythms	20
Characterization of time-dependence for dissipative solitons stabilized by nonlinear gradient terms: Periodic and quasiperiodic vs chaotic behavior	20
Mixed-mode oscillations in a three-timescale coupled Morris–Lecar system	20
Learning effective stochastic differential equations from microscopic simulations: Linking stochastic numerics to deep learning	20
Tipping points, multistability, and stochasticity in a two-dimensional traffic network dynamics	20
An integrative dynamical perspective for graph theory and the analysis of complex networks	20
Constraining chaos: Enforcing dynamical invariants in the training of reservoir computers	19
Classification of hyperchaotic, chaotic, and regular signals using single nonlinear node delay-based reservoir computers	19
Epidemic spreading under game-based self-quarantine behaviors: The different effects of local and global information	19
Co-evolving networks for opinion and social dynamics in agent-based models	19
Qualitative changes in bifurcation structure for soft vs hard impact models of a vibro-impact energy harvester	19
Hippocampus encoding memory engrams as stable heteroclinic network	19
Strong and weak prediction of stochastic dynamics using reservoir computing	19
Phase-amplitude reduction and optimal phase locking of collectively oscillating networks	19
Deep Learning for chaos detection	19
Theoretical study and circuit implementation of three chain-coupled self-driven Duffing oscillators	19
Exact finite-dimensional reduction for a population of noisy oscillators and its link to Ott–Antonsen and Watanabe–Strogatz theories	19
Higher-order interactions induce anomalous transitions to synchrony	19
Stochastic approach for assessing the predictability of chaotic time series using reservoir computing	18
Extreme transient dynamics	18
A novel and effective method for characterizing time series correlations based on martingale difference correlation	18
A comprehensive approach for discrete resilience of complex networks	18
Dynamical classic limit: Dissipative vs conservative systems	18
Evolutionary dynamics in spatial public goods games with environmental feedbacks	18
Erratum: “Variational inference of the drift function for stochastic differential equations driven by Lévy processes” [Chaos 32, 061103 (2022)]	18
Variational inference of the drift function for stochastic differential equations driven by Lévy processes	18
An optimization-based algorithm for obtaining an optimal synchronizable network after link addition or reduction	18
A robust sparse identification method for nonlinear dynamic systems affected by non-stationary noise	18
Synchronization and bifurcation in an economic model	18
Structural position vectors and symmetries in complex networks	18
Spatial evolution of cooperation with variable payoffs	17
Tempered linear and non-linear time series models and their application to heavy-tailed solar flare data	17
Identification of network interactions from time series data: An iterative approach	17
Efficiency of communities and financial markets during the 2020 pandemic	17
Drastic effects of an inert Pt wire on the redox behavior of the Belousov–Zhabotinsky reaction	17
Dynamics of predatory effect on saturated plant–pollinator mutualistic relationship	17
Rate-induced tracking for concave or d-concave transitions in a time-dependent environment with application in ecology	17
Dynamical noise can enhance high-order statistical structure in complex systems	17
Quantifying the potential of cascade outbreaks via early infected nodes using network percolation	17
Phase space partition with Koopman analysis	17
Optimizing self-organized topology of recurrence-based complex networks	17
Nowhere coexpanding functions	17
Controlling spiral wave dynamics of the BZ system in a modified Oregonator model: From suppression to turbulence	17
Interplay of unit-speed constraint and singular communication in the thermodynamic Cucker–Smale model	17
Unraveling the importance of early awareness strategy on the dynamics of drug addiction using mathematical modeling approach	16
Dispersion complexity–entropy curves: An effective method to characterize the structures of nonlinear time series	16
Ultra-low-energy defibrillation through adjoint optimization	16
CEBoosting: Online sparse identification of dynamical systems with regime switching by causation entropy boosting	16
Co-evolutionary dynamics for two adaptively coupled Theta neurons	16
Impulsive feedback control of birhythmicity: Theory and experiment	16
Periodic motions with impact chatters in an impact Duffing oscillator	16
Guidelines for data-driven approaches to study transitions in multiscale systems: The case of Lyapunov vectors	16
Time-delayed and stochastic effects in a predator–prey model with ratio dependence and Holling type III functional response	16
Comparison of discretization strategies for the model-free information-theoretic assessment of short-term physiological interactions	16
Contagion dynamics in time-varying metapopulation networks with node’s activity and attractiveness	16
Fractional SEIR model and data-driven predictions of COVID-19 dynamics of Omicron variant	15
Bistability in a tri-trophic food chain model: Basin stability perspective	15

Complex dynamics in adaptive phase oscillator networks	15
Numerical study of the transverse diffusion coefficient for a one component model of plasma	15
Interplay of noise induced stability and stochastic resetting	15
Eigenvector centrality in simplicial complexes of hypergraphs	15
The impact of feedbacks on evolutionary game dynamics in structured populations	15
A dynamical study of Hilda asteroids in the Circular and Elliptic RTBP	15
General rogue waves and modulation instability of the generalized coupled nonlinear Schrödinger system in optical pulses	15
Improving time series prediction accuracy for the maxima of a flow by reconstructions using local cross sections	15
Adaptive myelination causes slow oscillations in recurrent neural loops	15
A mathematical model of reward-mediated learning in drug addiction	15
Cover times with stochastic resetting	15
Introduction to focus issue: In memory of Vadim S. Anishchenko: Statistical physics and nonlinear dynamics of complex systems	15
Stability analysis of synchronization in long-range temporal networks using theory of dichotomy	15
Spatiotemporal patterns of firearm acquisition in the United States in different presidential terms	15
Mapping chaos: Bifurcation patterns and shrimp structures in the Ikeda map	14
Effects of infection fatality ratio and social contact matrices on vaccine prioritization strategies	14
Micro-macro consistency in multiscale modeling: Score-based model assisted sampling of fast/slow dynamical systems	14
Classification of cellular automata based on the Hamming distance	14
Exploring the role of diffusive coupling in spatiotemporal chaos	14
A novel analytical tool for complex propagation processes in networks: High-order dynamic equation	14
Bifurcation analysis of multistability of synchronous states in the system of two delay-coupled oscillators	14
Cluster synchronization induced by manifold deformation	14
Mirroring of synchronization in a bi-layer master–slave configuration of Kuramoto oscillators	14
Realization of logic gates in bi-directionally coupled nonlinear oscillators	14
Phase switching phenomenon in a system of three coupled DC glow discharge plasmas	14
Phase transition in a kinetic mean-field game model of inertial self-propelled agents	14
Lyapunov exponents of multi-state cellular automata	14
Decomposing cryptocurrency high-frequency price dynamics into recurring and noisy components	14
Effectiveness of phase synchronization in chaotic food chain model with refugia and Allee effects during seasonal fluctuations	14
Synchronization of non-identical systems by non-invasive mutual time-delayed feedback	14
Recurrent chaotic clustering and slow chaos in adaptive networks	14
Vaccination dilemma in the thermodynamic limit	14
Chimera states in multiplex networks: Chameleon-like across-layer synchronization	14
Resilience of weighted networks with dynamical behavior against multi-node removal	13
Linear response theory for renewable fluctuations in power grids with transmission losses	13
K-selective percolation: A simple model leading to a rich repertoire of phase transitions	13
A mechanical analog of Bohr’s atom based on de Broglie’s double-solution approach	13
Virial-like thermodynamic uncertainty relation in the tight-binding regime	13
Rao–Burbea centroids applied to the statistical characterization of time series and images through ordinal patterns	13
Power spectral estimate for discrete data	13
Simple cyclic memristive neural networks with coexisting attractors and large-scale amplitude control	13
Derivation and rogue waves of the fractional nonlinear Schrödinger equation for the Rossby waves	13
Rijke tube: A nonlinear oscillator	13
On the origin of chaotic attractors with two zero Lyapunov exponents in a system of five biharmonically coupled phase oscillators	13
Chaos, dynamic trapping, and transport of swimming microbes in a vortex chain flow	13
Time-reversal, tori families,\query{Q1} and canards in the Sprott A and NE9 systems	13
Interpersonal trust: Asymptotic analysis of a stochastic coordination game with multi-agent learning	13
Anticipating measure synchronization in coupled Hamiltonian systems with machine learning	13
Analytical predictions of stable and unstable firings to chaos in a Hindmarsh–Rose neuron system	13
Computational demonstrations of density wave of Cooper pairs and paired-electron liquid in the quarter-filled band—A brief review	13
Amplitude enhancements through rewiring of a non-autonomous delay system	13
Accurate deep learning-based filtering for chaotic dynamics by identifying instabilities without an ensemble	13
Leonid Shilnikov and mathematical theory of dynamical chaos	13
Coupled spreading between information and epidemics on multiplex networks with simplicial complexes	13
Replicator dynamics of public goods games with global exclusion	13
Slow passage through a Hopf-like bifurcation in piecewise linear systems: Application to elliptic bursting	13
Fractional-order quantum kicked top map and its discrete dynamic behaviors	13
Predicting dynamic stability from static features in power grid models using machine learning	13
Synchronization of nonlinearly coupled networks based on circle criterion	13
Frenetic steering: Nonequilibrium-enabled navigation	13
Steering opinion dynamics through control of social networks	13
Stability of heteroclinic cycles in ring graphs	13
Distribution in the geometrically growing system and its evolution	13
Bifurcation, chaos, multistability, and organized structures in a predator–prey model with vigilance	13
Identification of critical points in transient electroconvection dynamics using tensor bundles	12
Ill-matched timescales in coupled systems can induce oscillation suppression	12
A self-consistent analytical theory for rotator networks under stochastic forcing: Effects of intrinsic noise and common input	12
Early warnings of tipping in a non-autonomous turbulent reactive flow system: Efficacy, reliability, and warning times	12
Qualitative analysis of a Filippov wild-sterile mosquito population model with immigration	12
Multifractal dimension spectrum analysis for nuclear density distribution	12
Dynamical systems defined on simplicial complexes: Symmetries, conjugacies, and invariant subspaces	12
Oscillatory dynamics in a reaction network based on imine hydrolysis	12
Distributed NE and GNE seeking for heterogeneous multi-player games over directed communication networks	12
Reinforcement learning relieves the vaccination dilemma	12
Percolation transitions in interdependent networks with reinforced dependency links	12
Feigenbaum scenario without parameters	12
Identification of the continuum field structure at multiple scale levels	12
Reservoir computing as digital twins for nonlinear dynamical systems	12
A new class of out-gap discrete solitons in binary waveguide arrays	12
Further stability criteria for singular Hopf bifurcation in planar predator–prey systems	12
Non-negative matrix factorization for overlapping community detection in directed weighted networks with sparse constraints	12
Chimera states for directed networks	12
Neural network approximation of optimal controls for stochastic reaction–diffusion equations	12
Statistical inference for unreliable grading using the maximum entropy principle	12
Elastic to plastic transition in amorphous solids	12
Stability analysis of fractional difference equations with delay	12
Arnold diffusion for an a priori unstable Hamiltonian system with 3 + 1/2 degrees of freedom	12
Synchronization transitions in phase oscillator populations with partial adaptive coupling	12
Rogue wave excitations and hybrid wave structures of the Heisenberg ferromagnet equation with time-dependent inhomogeneous bilinear interaction and spin-transfer torque	12
Dimension reduction in higher-order contagious phenomena	12
Recurrence quantification analysis during a mental calculation task	12
Threshold incentive mechanisms for the sustainable management of public resources	12
A study of the double pendulum using polynomial optimization	12
Attenuation of thermoacoustic combustion oscillations in a swirl-stabilized turbulent combustor	12
Quantitative methods to determine the student workload: II. Statistical models for the microcurricular performance indicators	12