Chaos

Article	Citations
Short-term plasticity promotes synchronization of coupled chaotic oscillators in excitatory–inhibitory networks	119
Quantifying fluctuations for dynamical power systems with stochastic excitations: A power spectral density-based method	101
Adaptive integral alternating minimization method for robust learning of nonlinear dynamical systems from highly corrupted data	89
A bottom-up approach for recurrence detection based on sampling distance	63
Catalytic feed-forward explosive synchronization in multilayer networks	56
Recurrent neural networks for dynamical systems: Applications to ordinary differential equations, collective motion, and hydrological modeling	54
Cyclonic and anticyclonic rotation in a cylinder cooled inhomogeneously on the top	53
Optimizing charge-balanced pulse stimulation for desynchronization	52
Sparse identification of nonlinear dynamical systems via non-convex penalty least squares	50
Permutation group entropy: A new route to complexity for real-valued processes	49
Modeling language ideologies for the dynamics of languages in contact	48
Chimeras in globally coupled oscillators: A review	46
Symbolic regression via neural networks	45
Statistical performance of local attractor dimension estimators in non-Axiom A dynamical systems	43
Asymptotic theory of not completely integrable soliton equations	42
Stochastic averaging for a type of fractional differential equations with multiplicative fractional Brownian motion	42
Invariant tori in dissipative hyperchaos	40
Non-parametric tests for serial dependence in time series based on asymptotic implementations of ordinal-pattern statistics	39
Quasi-objective eddy visualization from sparse drifter data	39
Mathematical modeling of the Chilean riots of 2019: An epidemiological non-local approach	38
Ordinal pattern transition networks in eye tracking reading signals	37
Research on portfolio optimization under asymmetric power-law distribution of return tail	37
A pressure-free long-time stable reduced-order model for two-dimensional Rayleigh–Bénard convection	36
Lévy noise influences basin stability in a delayed vegetation-water dynamical system	36
Optimal time-varying coupling function can enhance synchronization in complex networks	35

Memory-based parameterization with differentiable solver: Application to Lorenz ’96	34
Evolutionary dynamics of N-player sender-receiver game in networks with community structure	33
Impact of periodic vaccination in SEIRS seasonal model	33
Locating saddle points using gradient extremals on manifolds adaptively revealed as point clouds	33
Forecasting with an N-dimensional Langevin equation and a neural-ordinary differential equation	32
Data-driven control of oscillator networks with population-level measurement	32
Unfolding the distribution of periodicity regions and diversity of chaotic attractors in the Chialvo neuron map	32
Motion states identification of underwater glider based on complex networks and graph convolutional networks	32
Data-driven stochastic model for cross-interacting processes with different time scales	31
Potential grouping of nodes induced by higher-order structures in complex networks	31
Deep learning enhanced dynamic mode decomposition	31
Synchronizing network systems in the presence of limited resources via edge snapping	31
Link prediction of the world container shipping network: A network structure perspective	31
Reliable detection of directional couplings using cross-vector measures	30
Path-integral solution of MacArthur’s resource-competition model for large ecosystems with random species-resources couplings	30
A developed non-smooth coordinate transformation for general bilateral vibro-impact systems	29
Exploration of soliton solutions and chaos analysis in thin-film ferroelectric materials	29
Dynamic stability of electric power grids: Tracking the interplay of the network structure, transmission losses, and voltage dynamics	29
A simulation-supported thought experiment for measuring low-dimensional chaotic systems subjected to parameter drift	29
Role reversal in a stage-structured prey–predator model with fear, delay, and carry-over effects	29
Absence of pure voltage instabilities in the third-order model of power grid dynamics	29
Hydrodynamic modulation instability triggered by a two-wave system	29
Nonlinear Schrödinger waves in a disordered potential: Branched flow, spectrum diffusion, and rogue waves	28
Generalized weighted permutation entropy	28
Asymmetrical dynamics of epidemic propagation and awareness diffusion in multiplex networks	27
Catalytic evolution of cooperation in a population with behavioral bimodality	27
An algorithm for simplified recurrence analysis	27
Promoting synchrony of power grids by restructuring network topologies	27
Quantum integrability and chaos in a periodic Toda lattice with balanced loss–gain	27
Modulational instability, generation, and evolution of rogue waves in the generalized fractional nonlinear Schrödinger equations with power-law nonlinearity and rational potentials	27
Tipping points, multistability, and stochasticity in a two-dimensional traffic network dynamics	26
Dynamical analysis and solutions of coupled 4D fractional differential systems with applications to predictability limit quantification in ocean-atmosphere models	26
Generalized network dismantling based on cost-aware source-sampling betweenness	26
Impact of simplicial complexes on epidemic spreading in partially mapping activity-driven multiplex networks	26
The dynamics of a four-step feedback procedure to control chaos	25
Linear vs nonlinear transport during chaotic advection in fluid flows	25
Detection of Parkinson’s disease using nocturnal breathing signals based on multifractal detrended fluctuation analysis	25
Analyzing the channels of information dissemination: Investigating abrupt transitions in resource investment	25
Stability analysis of multiplayer games on adaptive simplicial complexes	25
Superconductivity coupling of harmonic resonant oscillators: Homogeneous and heterogeneous extreme multistability with multi-scrolls	25
Density evolution in stochastic dynamical systems with memory: A universal algorithm	25
Evolution of trust in N-player trust games with loss assessment	25
Characteristics of price related fluctuations in non-fungible token (NFT) market	25
Instability of oscillations in the Rosenzweig–MacArthur model of one consumer and two resources	25
Graph neural network for prediction of phase-ordering kinetics	25
Can the Doppler be useful for a benchmark analysis of the wave-like properties of memory-dependent telegraphers’ equation	25
Chaos–hyperchaos transition in three identical quorum-sensing mean-field coupled ring oscillators	24
Machine-learning potential energy surfaces implications in photodissociation process	24
Unconsciousness reconfigures modular brain network dynamics	24
Mechanism of multistability in chaotic maps	24

Referee acknowledgment for 2021	23
A generic model for pandemics in networks of communities and the role of vaccination	23
Characterization of time-dependence for dissipative solitons stabilized by nonlinear gradient terms: Periodic and quasiperiodic vs chaotic behavior	23
Inferring long memory using extreme events	23
Chemotaxis-driven stationary and oscillatory patterns in a diffusive HIV-1 model with CTL immune response and general sensitivity	23
Synchronization, clustering, and weak chimeras in a densely coupled transcription-based oscillator model for split circadian rhythms	23
Neural ODE to model and prognose thermoacoustic instability	23
Fast algorithm to identify minimal patterns of synchrony through fibration symmetries in large directed networks	23
Wavelet analysis for cyclic combustion dynamics of a multi-cylinder CRDI diesel engine fuelled with a blending of argemone biodiesel–diesel oil	23
Hidden multi-scroll and coexisting self-excited attractors in optical injection semiconductor laser system: Its electronic control	22
Control of seizure-like dynamics in neuronal populations with excitability adaptation related to ketogenic diet	22
Koopman and Perron–Frobenius operators on reproducing kernel Banach spaces	22
Universality and scaling in complex networks from periods of Chinese history	22
A novel mechanism for ramping bursts based on slow negative feedback in model respiratory neurons	22
An integrative dynamical perspective for graph theory and the analysis of complex networks	21
Digital contact tracing on hypergraphs	21
Fractional order-induced bifurcations in a delayed neural network with three neurons	21
First encounters on Watts–Strogatz networks and Barabási–Albert networks	21
Conditions of acceleration and deceleration of the cancer cell growth under osmotic pressure	21
Complexity of couplings in multivariate time series via ordinal persistent homology	21
Learning effective stochastic differential equations from microscopic simulations: Linking stochastic numerics to deep learning	20
A nonlinear journey from structural phase transitions to quantum annealing	20
Epidemic dynamics with awareness cascade of positive and negative information on delayed multiplex networks	20
Planetary influences on the solar cycle: A nonlinear dynamics approach	20
A multiscale symbolic approach to decoding delta and ripple oscillation bands as biomarkers for epileptiform discharges	20
Complete synchronization of two spirals by a messenger wave in a reaction diffusion system	20
Bifurcations and intermittency in coupled dissipative kicked rotors	20
Mixed-mode oscillations in a three-timescale coupled Morris–Lecar system	20
Deep learning-based surrogate models for parametrized PDEs: Handling geometric variability through graph neural networks	20
An optimization-based algorithm for obtaining an optimal synchronizable network after link addition or reduction	20
Dynamical classic limit: Dissipative vs conservative systems	19
Efficiency of communities and financial markets during the 2020 pandemic	19
Dynamical noise can enhance high-order statistical structure in complex systems	19
Cover times with stochastic resetting	19
Rate-induced tracking for concave or d-concave transitions in a time-dependent environment with application in ecology	19
A mathematical model of reward-mediated learning in drug addiction	19
Dynamics of predatory effect on saturated plant–pollinator mutualistic relationship	19
Deep Learning for chaos detection	19
Higher-order interactions induce anomalous transitions to synchrony	19
Erratum: “Variational inference of the drift function for stochastic differential equations driven by Lévy processes” [Chaos 32, 061103 (2022)]	19
A dynamical study of Hilda asteroids in the Circular and Elliptic RTBP	19
Spatial evolution of cooperation with variable payoffs	18
Guidelines for data-driven approaches to study transitions in multiscale systems: The case of Lyapunov vectors	18
Impulsive feedback control of birhythmicity: Theory and experiment	18
Fractional SEIR model and data-driven predictions of COVID-19 dynamics of Omicron variant	18
Variational inference of the drift function for stochastic differential equations driven by Lévy processes	18
Tempered linear and non-linear time series models and their application to heavy-tailed solar flare data	18
Qualitative changes in bifurcation structure for soft vs hard impact models of a vibro-impact energy harvester	18
Stochastic approach for assessing the predictability of chaotic time series using reservoir computing	18
Extreme transient dynamics	18
Nowhere coexpanding functions	18
Phase space partition with Koopman analysis	18
Theoretical study and circuit implementation of three chain-coupled self-driven Duffing oscillators	18
Classification of hyperchaotic, chaotic, and regular signals using single nonlinear node delay-based reservoir computers	18
Synchronization and bifurcation in an economic model	17
Quantifying the potential of cascade outbreaks via early infected nodes using network percolation	17
Ultra-low-energy defibrillation through adjoint optimization	17
Hippocampus encoding memory engrams as stable heteroclinic network	17
Strong and weak prediction of stochastic dynamics using reservoir computing	17
A novel and effective method for characterizing time series correlations based on martingale difference correlation	17
Co-evolutionary dynamics for two adaptively coupled Theta neurons	17
Motifs-based link prediction for heterogeneous multilayer networks	17
Identification of network interactions from time series data: An iterative approach	17
Controlling spiral wave dynamics of the BZ system in a modified Oregonator model: From suppression to turbulence	17
Contagion dynamics in time-varying metapopulation networks with node’s activity and attractiveness	17
Co-evolving networks for opinion and social dynamics in agent-based models	17
Optimizing self-organized topology of recurrence-based complex networks	17
Evolutionary dynamics in spatial public goods games with environmental feedbacks	17
Constraining chaos: Enforcing dynamical invariants in the training of reservoir computers	16
Exact finite-dimensional reduction for a population of noisy oscillators and its link to Ott–Antonsen and Watanabe–Strogatz theories	16
Dispersion complexity–entropy curves: An effective method to characterize the structures of nonlinear time series	16
Drastic effects of an inert Pt wire on the redox behavior of the Belousov–Zhabotinsky reaction	16
Unraveling the importance of early awareness strategy on the dynamics of drug addiction using mathematical modeling approach	16
A comprehensive approach for discrete resilience of complex networks	16
Phase-amplitude reduction and optimal phase locking of collectively oscillating networks	16
Complex dynamics in adaptive phase oscillator networks	16
Interplay of unit-speed constraint and singular communication in the thermodynamic Cucker–Smale model	16
Comparison of discretization strategies for the model-free information-theoretic assessment of short-term physiological interactions	16
Epidemic spreading under game-based self-quarantine behaviors: The different effects of local and global information	16
The impact of feedbacks on evolutionary game dynamics in structured populations	15

Structural position vectors and symmetries in complex networks	15
Slow passage through a saddle-node bifurcation in discrete dynamical systems	15
Bifurcation, chaos, multistability, and organized structures in a predator–prey model with vigilance	15
Physics informed neural networks simulation of fingering instabilities arising during immiscible and miscible multiphase flow in oil recovery processes	15
CEBoosting: Online sparse identification of dynamical systems with regime switching by causation entropy boosting	15
A universal route from avalanches in mean-field models with random fields to stochastic Poisson branching events	15
Recurrence quantification analysis during a mental calculation task	15
Effects of infection fatality ratio and social contact matrices on vaccine prioritization strategies	15
A robust sparse identification method for nonlinear dynamic systems affected by non-stationary noise	15
Periodic motions with impact chatters in an impact Duffing oscillator	15
Dimension reduction in higher-order contagious phenomena	15
Non-negative matrix factorization for overlapping community detection in directed weighted networks with sparse constraints	15
Stochastic modeling and analysis of the mutual influence between respiratory diseases and air quality	15
Chaos, dynamic trapping, and transport of swimming microbes in a vortex chain flow	14
Synchronization of non-identical systems by non-invasive mutual time-delayed feedback	14
Numerical study of the transverse diffusion coefficient for a one component model of plasma	14
Time-reversal, tori families,\query{Q1} and canards in the Sprott A and NE9 systems	14
Eigenvector centrality in simplicial complexes of hypergraphs	14
Recurrent chaotic clustering and slow chaos in adaptive networks	14
Predicting dynamic stability from static features in power grid models using machine learning	14
Power spectral estimate for discrete data	14
Further stability criteria for singular Hopf bifurcation in planar predator–prey systems	14
Linear response theory for renewable fluctuations in power grids with transmission losses	14
Introduction to focus issue: In memory of Vadim S. Anishchenko: Statistical physics and nonlinear dynamics of complex systems	14
Interpersonal trust: Asymptotic analysis of a stochastic coordination game with multi-agent learning	14
Frenetic steering: Nonequilibrium-enabled navigation	14
Exploring the role of diffusive coupling in spatiotemporal chaos	14
A mechanical analog of Bohr’s atom based on de Broglie’s double-solution approach	14
Classification of cellular automata based on the Hamming distance	14
Slow passage through a Hopf-like bifurcation in piecewise linear systems: Application to elliptic bursting	14
General rogue waves and modulation instability of the generalized coupled nonlinear Schrödinger system in optical pulses	14
Bifurcation analysis of multistability of synchronous states in the system of two delay-coupled oscillators	14
Synchronization of nonlinearly coupled networks based on circle criterion	14
Derivation and rogue waves of the fractional nonlinear Schrödinger equation for the Rossby waves	14
Simple cyclic memristive neural networks with coexisting attractors and large-scale amplitude control	14
Lyapunov exponents of multi-state cellular automata	14
A new class of out-gap discrete solitons in binary waveguide arrays	13
Resilience of weighted networks with dynamical behavior against multi-node removal	13
Realization of logic gates in bi-directionally coupled nonlinear oscillators	13
Amplitude enhancements through rewiring of a non-autonomous delay system	13
Anticipating measure synchronization in coupled Hamiltonian systems with machine learning	13
Decomposing cryptocurrency high-frequency price dynamics into recurring and noisy components	13
Distribution in the geometrically growing system and its evolution	13
Early warnings of tipping in a non-autonomous turbulent reactive flow system: Efficacy, reliability, and warning times	13
Phase transition in a kinetic mean-field game model of inertial self-propelled agents	13
Micro-macro consistency in multiscale modeling: Score-based model assisted sampling of fast/slow dynamical systems	13
Mirroring of synchronization in a bi-layer master–slave configuration of Kuramoto oscillators	13
Leonid Shilnikov and mathematical theory of dynamical chaos	13
Rogue wave excitations and hybrid wave structures of the Heisenberg ferromagnet equation with time-dependent inhomogeneous bilinear interaction and spin-transfer torque	13
Mapping chaos: Bifurcation patterns and shrimp structures in the Ikeda map	13
Improving time series prediction accuracy for the maxima of a flow by reconstructions using local cross sections	13
Interplay of noise induced stability and stochastic resetting	13
Steering opinion dynamics through control of social networks	13
Phase switching phenomenon in a system of three coupled DC glow discharge plasmas	13
Accurate deep learning-based filtering for chaotic dynamics by identifying instabilities without an ensemble	13
K-selective percolation: A simple model leading to a rich repertoire of phase transitions	13
Cluster synchronization induced by manifold deformation	13
Spatiotemporal patterns of firearm acquisition in the United States in different presidential terms	13
Computational demonstrations of density wave of Cooper pairs and paired-electron liquid in the quarter-filled band—A brief review	13
Rao–Burbea centroids applied to the statistical characterization of time series and images through ordinal patterns	13
Stability of heteroclinic cycles in ring graphs	13
Rijke tube: A nonlinear oscillator	13
Synchronization transitions in phase oscillator populations with partial adaptive coupling	13
Vaccination dilemma in the thermodynamic limit	13
Stability analysis of synchronization in long-range temporal networks using theory of dichotomy	13
Virial-like thermodynamic uncertainty relation in the tight-binding regime	13
On the origin of chaotic attractors with two zero Lyapunov exponents in a system of five biharmonically coupled phase oscillators	13
Reservoir computing as digital twins for nonlinear dynamical systems	12
Qualitative analysis of a Filippov wild-sterile mosquito population model with immigration	12
Synchronization enhancement subjected to adaptive blinking coupling	12
The asymptotic distribution of the permutation entropy	12
Attractor-driven matter	12
Robustness measurement of multiplex networks based on graph spectrum	12
Transition to hyperchaos and rare large-intensity pulses in Zeeman laser	12
Point process analysis of geographical diffusion of news in Argentina	12
Modeling shock propagation and resilience in financial temporal networks	12
A Monte Carlo approach to understanding the impacts of initial-condition uncertainty, model uncertainty, and simulation variability on the predictability of chaotic systems: Perspectives from the one-	12
Adaptive myelination causes slow oscillations in recurrent neural loops	12
Chimera states in multiplex networks: Chameleon-like across-layer synchronization	12
Analytical predictions of stable and unstable firings to chaos in a Hindmarsh–Rose neuron system	12
Large-space and large-time asymptotic properties of vector rogon-soliton and soliton-like solutions for n-component NLS equations	12
Large internal solitary waves on a weak shear	12
Control and symmetry breaking aspects of a geomagnetic field inversion model	12
On a doubly reduced model for dynamics of heterogeneous mixtures of stiffened gases, its regularizations and their implementations	12
Feigenbaum scenario without parameters	12
Dynamical systems defined on simplicial complexes: Symmetries, conjugacies, and invariant subspaces	12
Replicator dynamics of public goods games with global exclusion	12
A novel analytical tool for complex propagation processes in networks: High-order dynamic equation	12
Fractional-order quantum kicked top map and its discrete dynamic behaviors	12
On generalized bidimensional ensemble permutation entropy	12
Elastic to plastic transition in amorphous solids	12
A novel dynamic cardiorespiratory coupling quantification method reveals the effect of aging on the autonomic nervous system	12
Percolation transitions in interdependent networks with reinforced dependency links	12
Distributed NE and GNE seeking for heterogeneous multi-player games over directed communication networks	12
Investigation of an improved FitzHugh–Rinzel neuron and its multiplier-less circuit implementation	12