Chaos

Article	Citations
Short-term plasticity promotes synchronization of coupled chaotic oscillators in excitatory–inhibitory networks	121
Asymmetrical dynamics of epidemic propagation and awareness diffusion in multiplex networks	106
Symbolic regression via neural networks	92
Dynamical analysis and solutions of coupled 4D fractional differential systems with applications to predictability limit quantification in ocean-atmosphere models	64
Quantifying fluctuations for dynamical power systems with stochastic excitations: A power spectral density-based method	57
A bottom-up approach for recurrence detection based on sampling distance	56
Cyclonic and anticyclonic rotation in a cylinder cooled inhomogeneously on the top	55
Catalytic feed-forward explosive synchronization in multilayer networks	55
Optimizing charge-balanced pulse stimulation for desynchronization	52
Sparse identification of nonlinear dynamical systems via non-convex penalty least squares	52
Permutation group entropy: A new route to complexity for real-valued processes	50
Modeling language ideologies for the dynamics of languages in contact	49
Chimeras in globally coupled oscillators: A review	47
Statistical performance of local attractor dimension estimators in non-Axiom A dynamical systems	45
Research on portfolio optimization under asymmetric power-law distribution of return tail	43
Mathematical modeling of the Chilean riots of 2019: An epidemiological non-local approach	43
Quasi-objective eddy visualization from sparse drifter data	43
Lévy noise influences basin stability in a delayed vegetation-water dynamical system	41
Ordinal pattern transition networks in eye tracking reading signals	41
A pressure-free long-time stable reduced-order model for two-dimensional Rayleigh–Bénard convection	40
Impact of periodic vaccination in SEIRS seasonal model	39
Evolutionary dynamics of N-player sender-receiver game in networks with community structure	38
Locating saddle points using gradient extremals on manifolds adaptively revealed as point clouds	37
Forecasting with an N-dimensional Langevin equation and a neural-ordinary differential equation	36
Data-driven control of oscillator networks with population-level measurement	35

Motion states identification of underwater glider based on complex networks and graph convolutional networks	34
Unfolding the distribution of periodicity regions and diversity of chaotic attractors in the Chialvo neuron map	33
Data-driven stochastic model for cross-interacting processes with different time scales	33
Potential grouping of nodes induced by higher-order structures in complex networks	33
Reliable detection of directional couplings using cross-vector measures	33
Link prediction of the world container shipping network: A network structure perspective	33
Synchronizing network systems in the presence of limited resources via edge snapping	33
Hydrodynamic modulation instability triggered by a two-wave system	32
Exploration of soliton solutions and chaos analysis in thin-film ferroelectric materials	32
A simulation-supported thought experiment for measuring low-dimensional chaotic systems subjected to parameter drift	32
Role reversal in a stage-structured prey–predator model with fear, delay, and carry-over effects	32
Absence of pure voltage instabilities in the third-order model of power grid dynamics	31
A developed non-smooth coordinate transformation for general bilateral vibro-impact systems	31
Promoting synchrony of power grids by restructuring network topologies	30
Adaptive integral alternating minimization method for robust learning of nonlinear dynamical systems from highly corrupted data	30
Dynamic stability of electric power grids: Tracking the interplay of the network structure, transmission losses, and voltage dynamics	30
Modulational instability, generation, and evolution of rogue waves in the generalized fractional nonlinear Schrödinger equations with power-law nonlinearity and rational potentials	30
An algorithm for simplified recurrence analysis	30
Generalized weighted permutation entropy	30
Stochastic averaging for a type of fractional differential equations with multiplicative fractional Brownian motion	30
Optimal time-varying coupling function can enhance synchronization in complex networks	30
Nonlinear Schrödinger waves in a disordered potential: Branched flow, spectrum diffusion, and rogue waves	29
Invariant tori in dissipative hyperchaos	29
Recurrent neural networks for dynamical systems: Applications to ordinary differential equations, collective motion, and hydrological modeling	28
Quantum integrability and chaos in a periodic Toda lattice with balanced loss–gain	28
Impact of simplicial complexes on epidemic spreading in partially mapping activity-driven multiplex networks	28
Asymptotic theory of not completely integrable soliton equations	28
Deep learning enhanced dynamic mode decomposition	27
Memory-based parameterization with differentiable solver: Application to Lorenz ’96	27
Path-integral solution of MacArthur’s resource-competition model for large ecosystems with random species-resources couplings	27
Non-parametric tests for serial dependence in time series based on asymptotic implementations of ordinal-pattern statistics	27
Catalytic evolution of cooperation in a population with behavioral bimodality	27
Planetary influences on the solar cycle: A nonlinear dynamics approach	26
Superconductivity coupling of harmonic resonant oscillators: Homogeneous and heterogeneous extreme multistability with multi-scrolls	26
Mixed-mode oscillations in a three-timescale coupled Morris–Lecar system	26
Learning effective stochastic differential equations from microscopic simulations: Linking stochastic numerics to deep learning	26
Tipping points, multistability, and stochasticity in a two-dimensional traffic network dynamics	26
Fractional order-induced bifurcations in a delayed neural network with three neurons	26
Linear vs nonlinear transport during chaotic advection in fluid flows	25
Characteristics of price related fluctuations in non-fungible token (NFT) market	25
Mechanism of multistability in chaotic maps	25
Stability analysis of multiplayer games on adaptive simplicial complexes	25
Instability of oscillations in the Rosenzweig–MacArthur model of one consumer and two resources	25
Generalized network dismantling based on cost-aware source-sampling betweenness	25
An integrative dynamical perspective for graph theory and the analysis of complex networks	25
Analyzing the channels of information dissemination: Investigating abrupt transitions in resource investment	25
The dynamics of a four-step feedback procedure to control chaos	25
Chaos–hyperchaos transition in three identical quorum-sensing mean-field coupled ring oscillators	25
Bifurcations and intermittency in coupled dissipative kicked rotors	25
Detection of Parkinson’s disease using nocturnal breathing signals based on multifractal detrended fluctuation analysis	24

Density evolution in stochastic dynamical systems with memory: A universal algorithm	24
Evolution of trust in N-player trust games with loss assessment	24
Graph neural network for prediction of phase-ordering kinetics	24
Can the Doppler be useful for a benchmark analysis of the wave-like properties of memory-dependent telegraphers’ equation	23
Unconsciousness reconfigures modular brain network dynamics	23
Machine-learning potential energy surfaces implications in photodissociation process	23
Neural ODE to model and prognose thermoacoustic instability	23
Characterization of time-dependence for dissipative solitons stabilized by nonlinear gradient terms: Periodic and quasiperiodic vs chaotic behavior	22
Chemotaxis-driven stationary and oscillatory patterns in a diffusive HIV-1 model with CTL immune response and general sensitivity	22
Referee acknowledgment for 2021	22
Wavelet analysis for cyclic combustion dynamics of a multi-cylinder CRDI diesel engine fuelled with a blending of argemone biodiesel–diesel oil	22
A generic model for pandemics in networks of communities and the role of vaccination	22
Fast algorithm to identify minimal patterns of synchrony through fibration symmetries in large directed networks	22
Synchronization, clustering, and weak chimeras in a densely coupled transcription-based oscillator model for split circadian rhythms	22
Inferring long memory using extreme events	22
Universality and scaling in complex networks from periods of Chinese history	21
Complexity of couplings in multivariate time series via ordinal persistent homology	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
A multiscale symbolic approach to decoding delta and ripple oscillation bands as biomarkers for epileptiform discharges	21
Koopman and Perron–Frobenius operators on reproducing kernel Banach spaces	21
A novel mechanism for ramping bursts based on slow negative feedback in model respiratory neurons	21
Digital contact tracing on hypergraphs	21
Hidden multi-scroll and coexisting self-excited attractors in optical injection semiconductor laser system: Its electronic control	20
Deep learning-based surrogate models for parametrized PDEs: Handling geometric variability through graph neural networks	20
Dynamics of predatory effect on saturated plant–pollinator mutualistic relationship	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
Cover times with stochastic resetting	20
Complete synchronization of two spirals by a messenger wave in a reaction diffusion system	20
Control of seizure-like dynamics in neuronal populations with excitability adaptation related to ketogenic diet	20
Deep Learning for chaos detection	19
Guidelines for data-driven approaches to study transitions in multiscale systems: The case of Lyapunov vectors	19
Impulsive feedback control of birhythmicity: Theory and experiment	19
Extreme transient dynamics	19
Nowhere coexpanding functions	19
Erratum: “Variational inference of the drift function for stochastic differential equations driven by Lévy processes” [Chaos 32, 061103 (2022)]	19
Classification of hyperchaotic, chaotic, and regular signals using single nonlinear node delay-based reservoir computers	19
Dynamical classic limit: Dissipative vs conservative systems	19
Spatial evolution of cooperation with variable payoffs	19
Tempered linear and non-linear time series models and their application to heavy-tailed solar flare data	19
Synchronization and bifurcation in an economic model	19
Controlling spiral wave dynamics of the BZ system in a modified Oregonator model: From suppression to turbulence	18
Hippocampus encoding memory engrams as stable heteroclinic network	18
Identification of network interactions from time series data: An iterative approach	18
Constraining chaos: Enforcing dynamical invariants in the training of reservoir computers	18
A comprehensive approach for discrete resilience of complex networks	18
A novel and effective method for characterizing time series correlations based on martingale difference correlation	18
Co-evolutionary dynamics for two adaptively coupled Theta neurons	18
Optimizing self-organized topology of recurrence-based complex networks	18
Interplay of unit-speed constraint and singular communication in the thermodynamic Cucker–Smale model	18
Evolutionary dynamics in spatial public goods games with environmental feedbacks	18
Ultra-low-energy defibrillation through adjoint optimization	18
Co-evolving networks for opinion and social dynamics in agent-based models	18
Motifs-based link prediction for heterogeneous multilayer networks	18
Exact finite-dimensional reduction for a population of noisy oscillators and its link to Ott–Antonsen and Watanabe–Strogatz theories	18
Dispersion complexity–entropy curves: An effective method to characterize the structures of nonlinear time series	17
Drastic effects of an inert Pt wire on the redox behavior of the Belousov–Zhabotinsky reaction	17
Periodic motions with impact chatters in an impact Duffing oscillator	17
An optimization-based algorithm for obtaining an optimal synchronizable network after link addition or reduction	17
Phase-amplitude reduction and optimal phase locking of collectively oscillating networks	17
A robust sparse identification method for nonlinear dynamic systems affected by non-stationary noise	17
Theoretical study and circuit implementation of three chain-coupled self-driven Duffing oscillators	17
Structural position vectors and symmetries in complex networks	17
Epidemic spreading under game-based self-quarantine behaviors: The different effects of local and global information	17
CEBoosting: Online sparse identification of dynamical systems with regime switching by causation entropy boosting	17
Complex dynamics in adaptive phase oscillator networks	17
Contagion dynamics in time-varying metapopulation networks with node’s activity and attractiveness	16
Qualitative changes in bifurcation structure for soft vs hard impact models of a vibro-impact energy harvester	16
Variational inference of the drift function for stochastic differential equations driven by Lévy processes	16
Fractional SEIR model and data-driven predictions of COVID-19 dynamics of Omicron variant	16
Unraveling the importance of early awareness strategy on the dynamics of drug addiction using mathematical modeling approach	16
Quantifying the potential of cascade outbreaks via early infected nodes using network percolation	16
Rate-induced tracking for concave or d-concave transitions in a time-dependent environment with application in ecology	16
Phase space partition with Koopman analysis	16
A mathematical model of reward-mediated learning in drug addiction	16
Dynamical noise can enhance high-order statistical structure in complex systems	16
Strong and weak prediction of stochastic dynamics using reservoir computing	16
A dynamical study of Hilda asteroids in the Circular and Elliptic RTBP	16
The impact of feedbacks on evolutionary game dynamics in structured populations	15

Virial-like thermodynamic uncertainty relation in the tight-binding regime	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
Higher-order interactions induce anomalous transitions to synchrony	15
Physics informed neural networks simulation of fingering instabilities arising during immiscible and miscible multiphase flow in oil recovery processes	15
Stability of heteroclinic cycles in ring graphs	15
K-selective percolation: A simple model leading to a rich repertoire of phase transitions	15
Accurate deep learning-based filtering for chaotic dynamics by identifying instabilities without an ensemble	15
A universal route from avalanches in mean-field models with random fields to stochastic Poisson branching events	15
Comparison of discretization strategies for the model-free information-theoretic assessment of short-term physiological interactions	15
Mirroring of synchronization in a bi-layer master–slave configuration of Kuramoto oscillators	15
Interplay of noise induced stability and stochastic resetting	15
Phase transition in a kinetic mean-field game model of inertial self-propelled agents	15
Rao–Burbea centroids applied to the statistical characterization of time series and images through ordinal patterns	15
Anticipating measure synchronization in coupled Hamiltonian systems with machine learning	15
Cluster synchronization induced by manifold deformation	15
Time-reversal, tori families,\query{Q1} and canards in the Sprott A and NE9 systems	14
Recurrence quantification analysis during a mental calculation task	14
Micro-macro consistency in multiscale modeling: Score-based model assisted sampling of fast/slow dynamical systems	14
Distribution in the geometrically growing system and its evolution	14
Slow passage through a Hopf-like bifurcation in piecewise linear systems: Application to elliptic bursting	14
Power spectral estimate for discrete data	14
Chaos, dynamic trapping, and transport of swimming microbes in a vortex chain flow	14
Numerical study of the transverse diffusion coefficient for a one component model of plasma	14
Synchronization of nonlinearly coupled networks based on circle criterion	14
Bifurcation analysis of multistability of synchronous states in the system of two delay-coupled oscillators	14
Linear response theory for renewable fluctuations in power grids with transmission losses	14
Early warnings of tipping in a non-autonomous turbulent reactive flow system: Efficacy, reliability, and warning times	14
Phase switching phenomenon in a system of three coupled DC glow discharge plasmas	14
Synchronization of non-identical systems by non-invasive mutual time-delayed feedback	14
General rogue waves and modulation instability of the generalized coupled nonlinear Schrödinger system in optical pulses	14
Recurrent chaotic clustering and slow chaos in adaptive networks	14
Exploring the role of diffusive coupling in spatiotemporal chaos	14
Derivation and rogue waves of the fractional nonlinear Schrödinger equation for the Rossby waves	14
A mechanical analog of Bohr’s atom based on de Broglie’s double-solution approach	14
Non-negative matrix factorization for overlapping community detection in directed weighted networks with sparse constraints	14
Eigenvector centrality in simplicial complexes of hypergraphs	14
Qualitative analysis of a Filippov wild-sterile mosquito population model with immigration	14
Steering opinion dynamics through control of social networks	14
Fractional-order quantum kicked top map and its discrete dynamic behaviors	14
Further stability criteria for singular Hopf bifurcation in planar predator–prey systems	14
Classification of cellular automata based on the Hamming distance	14
Interpersonal trust: Asymptotic analysis of a stochastic coordination game with multi-agent learning	14
Frenetic steering: Nonequilibrium-enabled navigation	14
Simple cyclic memristive neural networks with coexisting attractors and large-scale amplitude control	14
Effectiveness of phase synchronization in chaotic food chain model with refugia and Allee effects during seasonal fluctuations	13
Reservoir computing as digital twins for nonlinear dynamical systems	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
Stochastic modeling and analysis of the mutual influence between respiratory diseases and air quality	13
Decomposing cryptocurrency high-frequency price dynamics into recurring and noisy components	13
A novel analytical tool for complex propagation processes in networks: High-order dynamic equation	13
Coupled spreading between information and epidemics on multiplex networks with simplicial complexes	13
Dynamics of a quartic Korteweg–de Vries equation with multiple dissipations via an Abelian integral approach	13
Vaccination dilemma in the thermodynamic limit	13
Effects of infection fatality ratio and social contact matrices on vaccine prioritization strategies	13
Realization of logic gates in bi-directionally coupled nonlinear oscillators	13
Resilience of weighted networks with dynamical behavior against multi-node removal	13
Amplitude enhancements through rewiring of a non-autonomous delay system	13
A new class of out-gap discrete solitons in binary waveguide arrays	13
Rijke tube: A nonlinear oscillator	13
Adaptive myelination causes slow oscillations in recurrent neural loops	13
Bifurcation, chaos, multistability, and organized structures in a predator–prey model with vigilance	13
Adaptive normalizing flows for solving Fokker–Planck equation	13
Leonid Shilnikov and mathematical theory of dynamical chaos	13
Slow passage through a saddle-node bifurcation in discrete dynamical systems	13
Computational demonstrations of density wave of Cooper pairs and paired-electron liquid in the quarter-filled band—A brief review	13
On the origin of chaotic attractors with two zero Lyapunov exponents in a system of five biharmonically coupled phase oscillators	13
Chimera states in multiplex networks: Chameleon-like across-layer synchronization	13
Introduction to focus issue: In memory of Vadim S. Anishchenko: Statistical physics and nonlinear dynamics of complex systems	13
Predicting dynamic stability from static features in power grid models using machine learning	13
Synchronization transitions in phase oscillator populations with partial adaptive coupling	13
Lyapunov exponents of multi-state cellular automata	13
Large internal solitary waves on a weak shear	12
Piezoelectric energy harvesting and synchronization of excited and modified Huygens’s pendulums	12
Robustness measurement of multiplex networks based on graph spectrum	12
Koopman analysis of the periodic Korteweg–de Vries equation	12
Ill-matched timescales in coupled systems can induce oscillation suppression	12
A reliable chaos-based cryptography using Galois field	12
A machine-learning approach for long-term prediction of experimental cardiac action potential time series using an autoencoder and echo state networks	12
A novel dynamic cardiorespiratory coupling quantification method reveals the effect of aging on the autonomic nervous system	12
Improving time series prediction accuracy for the maxima of a flow by reconstructions using local cross sections	12
Percolation transitions in interdependent networks with reinforced dependency links	12
Control and symmetry breaking aspects of a geomagnetic field inversion model	12
Chimera states for directed networks	12
Inverse relationship between diffusion coefficient and mass for a free particle system: Approach by using maximum caliber principle and Monte Carlo simulations	12
Plasticity in networks of active chemical cells with pulse coupling	12
On a doubly reduced model for dynamics of heterogeneous mixtures of stiffened gases, its regularizations and their implementations	12
System dynamics monitoring using PIC micro-controller-based PLSE	12
Replicator dynamics of public goods games with global exclusion	12
Crises and chaotic scattering in hydrodynamic pilot-wave experiments	12
A self-consistent analytical theory for rotator networks under stochastic forcing: Effects of intrinsic noise and common input	12
Reservoir computing with random and optimized time-shifts	12
Quantitative methods to determine the student workload: II. Statistical models for the microcurricular performance indicators	12
Statistical inference for unreliable grading using the maximum entropy principle	12