Chaos

Article	Citations
Invariant tori in dissipative hyperchaos	107
A pressure-free long-time stable reduced-order model for two-dimensional Rayleigh–Bénard convection	84
Hierarchical formation of multicluster and chimera states in a network of phase oscillators with high-order adaptive couplings	75
Catalytic evolution of cooperation in a population with behavioral bimodality	73
Non-parametric tests for serial dependence in time series based on asymptotic implementations of ordinal-pattern statistics	72
Data-driven modeling of traffic flow in macroscopic network systems	68
Impact of simplicial complexes on epidemic spreading in partially mapping activity-driven multiplex networks	67
A simulation-supported thought experiment for measuring low-dimensional chaotic systems subjected to parameter drift	67
Scaling properties of A + B → C reaction–diffusion fronts in finite rectilinear geometries	61
Quasi-objective eddy visualization from sparse drifter data	61
The nonlinear Fokker–Planck equation with nongradient drift forces and an anisotropic potential	60
Energy-induced chimera-like states in bilayer memristive FitzHugh–Nagumo neural networks	56
A bottom-up approach for recurrence detection based on sampling distance	55
Modulational instability, generation, and evolution of rogue waves in the generalized fractional nonlinear Schrödinger equations with power-law nonlinearity and rational potentials	54
Reliable detection of directional couplings using cross-vector measures	52
Dynamical analysis and solutions of coupled 4D fractional differential systems with applications to predictability limit quantification in ocean-atmosphere models	51
Locating saddle points using gradient extremals on manifolds adaptively revealed as point clouds	49
Mathematical modeling of the Chilean riots of 2019: An epidemiological non-local approach	48
Research on portfolio optimization under asymmetric power-law distribution of return tail	46
Synchronizing network systems in the presence of limited resources via edge snapping	44
Forecasting with an N-dimensional Langevin equation and a neural-ordinary differential equation	43
Nonautonomous scalar concave–convex differential equations: Conditions for uniform stability or bistability in a model of optical fluorescence	43
Quantifying the nonlinear complexity of optical time-delayed chaotic systems based on reservoir computing	42
An algorithm for simplified recurrence analysis	42
Data-driven control of oscillator networks with population-level measurement	41

Statistical performance of local attractor dimension estimators in non-Axiom A dynamical systems	41
ZEUS: Numerical methods to detect quasi-particles describing excitable media	41
Recurrent neural networks for dynamical systems: Applications to ordinary differential equations, collective motion, and hydrological modeling	40
Hydrodynamic modulation instability triggered by a two-wave system	40
Asymptotic theory of not completely integrable soliton equations	40
Motion states identification of underwater glider based on complex networks and graph convolutional networks	39
Symbolic regression via neural networks	39
Adaptive integral alternating minimization method for robust learning of nonlinear dynamical systems from highly corrupted data	39
Chimeras in globally coupled oscillators: A review	39
A new conceptual disease triangle DST framework for balancing two extremes: Disease eradication and species extinction	38
Lévy noise influences basin stability in a delayed vegetation-water dynamical system	38
Quantum chaos in non-Markovian open quantum systems: Interferometric OTOC, Loschmidt echo, and commutator operator norm	38
Dynamic topology and percolation criticality in higher-order activity–vulnerability driven networks	37
Ordinal pattern transition networks in eye tracking reading signals	36
Promoting synchrony of power grids by restructuring network topologies	36
Quantifying fluctuations for dynamical power systems with stochastic excitations: A power spectral density-based method	36
Evolutionary dynamics of N-player sender-receiver game in networks with community structure	35
Memory-based parameterization with differentiable solver: Application to Lorenz ’96	35
Post-disaster resource redistribution and cooperation evolution based on two-layer network evolutionary games	34
Climate network reveals cross-seasonal teleconnections between heatwaves and cold waves	34
Generalized weighted permutation entropy	34
Permutation group entropy: A new route to complexity for real-valued processes	33
Optimal time-varying coupling function can enhance synchronization in complex networks	32
Impact of periodic vaccination in SEIRS seasonal model	31
Role reversal in a stage-structured prey–predator model with fear, delay, and carry-over effects	31
Quantum integrability and chaos in a periodic Toda lattice with balanced loss–gain	30
Dynamic stability of electric power grids: Tracking the interplay of the network structure, transmission losses, and voltage dynamics	30
Unfolding the distribution of periodicity regions and diversity of chaotic attractors in the Chialvo neuron map	30
Stochastic averaging for a type of fractional differential equations with multiplicative fractional Brownian motion	30
Modeling language ideologies for the dynamics of languages in contact	30
Decision-making under negativity bias: Double hysteresis in the opinion-dependent q -voter model	29
Characterization of time-dependence for dissipative solitons stabilized by nonlinear gradient terms: Periodic and quasiperiodic vs chaotic behavior	29
Short-term plasticity promotes synchronization of coupled chaotic oscillators in excitatory–inhibitory networks	29
Adaptive conformity promotes cooperation within structured populations	29
Exploration of soliton solutions and chaos analysis in thin-film ferroelectric materials	29
Noise-induced transitions in random Pomeau–Manneville maps	28
A nonlinear journey from structural phase transitions to quantum annealing	28
Analyzing the channels of information dissemination: Investigating abrupt transitions in resource investment	28
Universality and scaling in complex networks from periods of Chinese history	28
Koopman and Perron–Frobenius operators on reproducing kernel Banach spaces	28
Linear vs nonlinear transport during chaotic advection in fluid flows	28
Stability analysis of multiplayer games on adaptive simplicial complexes	27
A multiscale symbolic approach to decoding delta and ripple oscillation bands as biomarkers for epileptiform discharges	27
Superconductivity coupling of harmonic resonant oscillators: Homogeneous and heterogeneous extreme multistability with multi-scrolls	27
Conditions of acceleration and deceleration of the cancer cell growth under osmotic pressure	27
Hierarchical clustering in mean-field coupled Stuart–Landau oscillators	27
Synchronization, clustering, and weak chimeras in a densely coupled transcription-based oscillator model for split circadian rhythms	27
Detection of Parkinson’s disease using nocturnal breathing signals based on multifractal detrended fluctuation analysis	27
A data-driven framework for Koopman semigroup estimation in stochastic dynamical systems	26
Digital contact tracing on hypergraphs	26

Thermal rectifiers based on asymmetric van der Waals heteronanotubes	26
Control of chimera states via adaptive higher-order interactions	26
Chemotaxis-driven stationary and oscillatory patterns in a diffusive HIV-1 model with CTL immune response and general sensitivity	26
Neural ordinary differential equations for learning and extrapolating system dynamics across bifurcations	26
Planetary influences on the solar cycle: A nonlinear dynamics approach	26
Bifurcations and intermittency in coupled dissipative kicked rotors	26
Evolution of trust in N-player trust games with loss assessment	26
Complexity of couplings in multivariate time series via ordinal persistent homology	25
Learning effective stochastic differential equations from microscopic simulations: Linking stochastic numerics to deep learning	25
Complete synchronization of two spirals by a messenger wave in a reaction diffusion system	25
Density evolution in stochastic dynamical systems with memory: A universal algorithm	25
Hidden multi-scroll and coexisting self-excited attractors in optical injection semiconductor laser system: Its electronic control	25
Explosive adoption of corrupt behaviors in social systems with higher-order interactions	25
Deep learning-based surrogate models for parametrized PDEs: Handling geometric variability through graph neural networks	24
Generalized network dismantling based on cost-aware source-sampling betweenness	24
Mechanism of multistability in chaotic maps	24
An integrative dynamical perspective for graph theory and the analysis of complex networks	24
A novel mechanism for ramping bursts based on slow negative feedback in model respiratory neurons	24
Mixed-mode oscillations in a three-timescale coupled Morris–Lecar system	24
Machine-learning potential energy surfaces implications in photodissociation process	23
A generic model for pandemics in networks of communities and the role of vaccination	23
Fractional order-induced bifurcations in a delayed neural network with three neurons	23
Discovering the dynamics of Sargassum rafts’ centers of mass	23
Graph neural network for prediction of phase-ordering kinetics	23
Can the Doppler be useful for a benchmark analysis of the wave-like properties of memory-dependent telegraphers’ equation	23
Characteristics of price related fluctuations in non-fungible token (NFT) market	23
First encounters on Watts–Strogatz networks and Barabási–Albert networks	23
Erratum: “Variational inference of the drift function for stochastic differential equations driven by Lévy processes” [Chaos 32, 061103 (2022)]	22
Instability of oscillations in the Rosenzweig–MacArthur model of one consumer and two resources	22
Structure–function coupling reveals the excitation–inhibition imbalance in autism spectrum disorder: A perspective from large-scale whole-brain network modeling	22
A novel and effective method for characterizing time series correlations based on martingale difference correlation	22
An analysis framework for Turing instability on multigraph networks from the perspective of optimization	22
Tipping points, multistability, and stochasticity in a two-dimensional traffic network dynamics	22
A robust sparse identification method for nonlinear dynamic systems affected by non-stationary noise	22
Epidemic dynamics with awareness cascade of positive and negative information on delayed multiplex networks	22
Control of seizure-like dynamics in neuronal populations with excitability adaptation related to ketogenic diet	22
Nowhere coexpanding functions	21
The role of inhibitory neuronal variability in modulating phase diversity between coupled networks	21
Dynamical noise can enhance high-order statistical structure in complex systems	21
An optimization-based algorithm for obtaining an optimal synchronizable network after link addition or reduction	21
Controlling spiral wave dynamics of the BZ system in a modified Oregonator model: From suppression to turbulence	21
Structural position vectors and symmetries in complex networks	21
Interplay of unit-speed constraint and singular communication in the thermodynamic Cucker–Smale model	21
Guidelines for data-driven approaches to study transitions in multiscale systems: The case of Lyapunov vectors	21
Impulsive feedback control of birhythmicity: Theory and experiment	21
Cover times with stochastic resetting	21
Predicting collective states of a star network using reservoir computing	21
Ice clouds as nonlinear oscillators	20
CEBoosting: Online sparse identification of dynamical systems with regime switching by causation entropy boosting	20
Unraveling the importance of early awareness strategy on the dynamics of drug addiction using mathematical modeling approach	20
Extreme transient dynamics	20
The impact of feedbacks on evolutionary game dynamics in structured populations	20
Theoretical study and circuit implementation of three chain-coupled self-driven Duffing oscillators	20
Tracking control of complex dynamical networks via reservoir computing	20
Rate-induced tracking for concave or d-concave transitions in a time-dependent environment with application in ecology	20
Higher-order interactions induce anomalous transitions to synchrony	20
Drastic effects of an inert Pt wire on the redox behavior of the Belousov–Zhabotinsky reaction	20
Heterogeneous Cattaneo–Vernotte equation connection to the noisy voter model	20
Synchronization and bifurcation in an economic model	19
A dynamical study of Hilda asteroids in the Circular and Elliptic RTBP	19
Phase-amplitude reduction and optimal phase locking of collectively oscillating networks	19
Comparison of discretization strategies for the model-free information-theoretic assessment of short-term physiological interactions	19
Variational inference of the drift function for stochastic differential equations driven by Lévy processes	19
Co-evolutionary dynamics for two adaptively coupled Theta neurons	19
Collisions and fusion of one- and two-dimensional solitons driven by potential troughs in the cubic–quintic nonlinear Schrödinger equations	19
Dynamical classic limit: Dissipative vs conservative systems	19
Complex dynamics in adaptive phase oscillator networks	19
Quantifying the potential of cascade outbreaks via early infected nodes using network percolation	19
Hippocampus encoding memory engrams as stable heteroclinic network	19
Classification of hyperchaotic, chaotic, and regular signals using single nonlinear node delay-based reservoir computers	19
Ultra-low-energy defibrillation through adjoint optimization	19
Evolutionary dynamics in spatial public goods games with environmental feedbacks	18
Strong and weak prediction of stochastic dynamics using reservoir computing	18
Dynamics of a nonlinear resistor-coupled memristive neuron with double membrane	18
Co-evolving networks for opinion and social dynamics in agent-based models	18
Periodic motions with impact chatters in an impact Duffing oscillator	18
Constraining chaos: Enforcing dynamical invariants in the training of reservoir computers	18
Phase space partition with Koopman analysis	18
Deep Learning for chaos detection	18
Emergent dynamics in heterogeneous pulsatile swarmalators	18

Identification of network interactions from time series data: An iterative approach	18
Spatial evolution of cooperation with variable payoffs	18
Robust and efficient communication in multi-agent reinforcement learning	18
Contagion dynamics in time-varying metapopulation networks with node’s activity and attractiveness	18
Qualitative changes in bifurcation structure for soft vs hard impact models of a vibro-impact energy harvester	18
Machine learning additive corrections in a gray-box model for air temperature in the Southwest Amazon rainforest: Dry and wet season analysis	18
Optimizing self-organized topology of recurrence-based complex networks	18
A comprehensive approach for discrete resilience of complex networks	18
Epidemic spreading under game-based self-quarantine behaviors: The different effects of local and global information	17
Hybrid deterministic–stochastic modeling of epidemic spread: Analytical insights and numerical evidence from an Ornstein–Uhlenbeck SEIR framework	17
Exact finite-dimensional reduction for a population of noisy oscillators and its link to Ott–Antonsen and Watanabe–Strogatz theories	17
Dynamics of predatory effect on saturated plant–pollinator mutualistic relationship	17
Stochastic modeling and analysis of the mutual influence between respiratory diseases and air quality	17
Motifs-based link prediction for heterogeneous multilayer networks	17
Introduction to the Focus Issue: Nonautonomous dynamics in the climate sciences	17
Fractional SEIR model and data-driven predictions of COVID-19 dynamics of Omicron variant	17
A universal route from avalanches in mean-field models with random fields to stochastic Poisson branching events	17
Impact of weak generalized synchronization on time series forecasting using reservoir computers	17
Aubry’s impacts on mathematics	17
Templex for Lagrangian dynamics in the Southwestern Atlantic	17
Dispersion complexity–entropy curves: An effective method to characterize the structures of nonlinear time series	17
Slow passage through a saddle-node bifurcation in discrete dynamical systems	17
Vaccination dilemma in the thermodynamic limit	16
Intermittent synchronization in non-weakly coupled piecewise-linear expanding map lattice: A geometric-combinatorial approach	16
Spatiotemporal patterns of firearm acquisition in the United States in different presidential terms	16
Fractional-order quantum kicked top map and its discrete dynamic behaviors	16
Cluster synchronization induced by manifold deformation	16
Realization of logic gates in bi-directionally coupled nonlinear oscillators	16
Replicator dynamics of public goods games with global exclusion	16
Eigenvector centrality in simplicial complexes of hypergraphs	16
Effects of infection fatality ratio and social contact matrices on vaccine prioritization strategies	16
Phase switching phenomenon in a system of three coupled DC glow discharge plasmas	16
Interplay of noise induced stability and stochastic resetting	16
Virial-like thermodynamic uncertainty relation in the tight-binding regime	16
Distribution in the geometrically growing system and its evolution	16
Adaptive myelination causes slow oscillations in recurrent neural loops	16
Synchronization of non-identical systems by non-invasive mutual time-delayed feedback	16
Recurrent chaotic clustering and slow chaos in adaptive networks	16
Improving time series prediction accuracy for the maxima of a flow by reconstructions using local cross sections	16
Frenetic steering: Nonequilibrium-enabled navigation	16
Computational demonstrations of density wave of Cooper pairs and paired-electron liquid in the quarter-filled band—A brief review	16
Chaos, dynamic trapping, and transport of swimming microbes in a vortex chain flow	16
Rao–Burbea centroids applied to the statistical characterization of time series and images through ordinal patterns	16
Exploring the role of diffusive coupling in spatiotemporal chaos	16
Reservoir computing as digital twins for nonlinear dynamical systems	15
Dynamics of a quartic Korteweg–de Vries equation with multiple dissipations via an Abelian integral approach	15
Recurrence quantification analysis during a mental calculation task	15
Time-reversal, tori families,\query{Q1} and canards in the Sprott A and NE9 systems	15
Slow passage through a Hopf-like bifurcation in piecewise linear systems: Application to elliptic bursting	15
Interpersonal trust: Asymptotic analysis of a stochastic coordination game with multi-agent learning	15
Early warnings of tipping in a non-autonomous turbulent reactive flow system: Efficacy, reliability, and warning times	15
The negative information–epidemic coupling model based on individual emotional responses in multiplex network	15
A novel analytical tool for complex propagation processes in networks: High-order dynamic equation	15
Amplitude enhancements through rewiring of a non-autonomous delay system	15
Classification of cellular automata based on the Hamming distance	15
Extending the droplet-wave statistical correspondence in walking droplet dynamics	15
Effectiveness of phase synchronization in chaotic food chain model with refugia and Allee effects during seasonal fluctuations	15
Mirroring of synchronization in a bi-layer master–slave configuration of Kuramoto oscillators	15
Analytical predictions of stable and unstable firings to chaos in a Hindmarsh–Rose neuron system	15
Predicting dynamic stability from static features in power grid models using machine learning	15
Micro-macro consistency in multiscale modeling: Score-based model assisted sampling of fast/slow dynamical systems	15
Phase transition in a kinetic mean-field game model of inertial self-propelled agents	15
Stability of heteroclinic cycles in ring graphs	15
Resilience of weighted networks with dynamical behavior against multi-node removal	15
Non-negative matrix factorization for overlapping community detection in directed weighted networks with sparse constraints	15
Lyapunov exponents of multi-state cellular automata	15
Decomposing cryptocurrency high-frequency price dynamics into recurring and noisy components	15
General rogue waves and modulation instability of the generalized coupled nonlinear Schrödinger system in optical pulses	14
Simple cyclic memristive neural networks with coexisting attractors and large-scale amplitude control	14
A new class of out-gap discrete solitons in binary waveguide arrays	14
Mapping chaos: Bifurcation patterns and shrimp structures in the Ikeda map	14
Koopman analysis of the periodic Korteweg–de Vries equation	14
Plasticity in networks of active chemical cells with pulse coupling	14
The role of solar heat in earthquake activity	14
Rogue wave excitations and hybrid wave structures of the Heisenberg ferromagnet equation with time-dependent inhomogeneous bilinear interaction and spin-transfer torque	14
Neural network approximation of optimal controls for stochastic reaction–diffusion equations	14
Qualitative analysis of a Filippov wild-sterile mosquito population model with immigration	14
Rijke tube: A nonlinear oscillator	14
Stability analysis of synchronization in long-range temporal networks using theory of dichotomy	14
On the origin of chaotic attractors with two zero Lyapunov exponents in a system of five biharmonically coupled phase oscillators	14
Bifurcation, chaos, multistability, and organized structures in a predator–prey model with vigilance	14
Adaptive normalizing flows for solving Fokker–Planck equation	14
Statistical inference for unreliable grading using the maximum entropy principle	14
Coupled spreading between information and epidemics on multiplex networks with simplicial complexes	14
Linear response theory for renewable fluctuations in power grids with transmission losses	14
Derivation and rogue waves of the fractional nonlinear Schrödinger equation for the Rossby waves	14
Further stability criteria for singular Hopf bifurcation in planar predator–prey systems	14
Dimension reduction in higher-order contagious phenomena	14
Synchronization transitions in phase oscillator populations with partial adaptive coupling	14
Anticipating measure synchronization in coupled Hamiltonian systems with machine learning	14
System dynamics monitoring using PIC micro-controller-based PLSE	14
Control and symmetry breaking aspects of a geomagnetic field inversion model	14
Accurate deep learning-based filtering for chaotic dynamics by identifying instabilities without an ensemble	14
Physics informed neural networks simulation of fingering instabilities arising during immiscible and miscible multiphase flow in oil recovery processes	14
Steering opinion dynamics through control of social networks	14