Chaos

Article	Citations
Quantum integrability and chaos in a periodic Toda lattice with balanced loss–gain	133
Nonlinear Schrödinger waves in a disordered potential: Branched flow, spectrum diffusion, and rogue waves	98
Invariant tori in dissipative hyperchaos	67
Generalized weighted permutation entropy	62
Adaptive integral alternating minimization method for robust learning of nonlinear dynamical systems from highly corrupted data	62
Memory-based parameterization with differentiable solver: Application to Lorenz ’96	60
An algorithm for simplified recurrence analysis	60
Impact of periodic vaccination in SEIRS seasonal model	59
Exploration of soliton solutions and chaos analysis in thin-film ferroelectric materials	57
Unfolding the distribution of periodicity regions and diversity of chaotic attractors in the Chialvo neuron map	55
Quasi-objective eddy visualization from sparse drifter data	54
Catalytic evolution of cooperation in a population with behavioral bimodality	51
The nonlinear Fokker–Planck equation with nongradient drift forces and an anisotropic potential	50
A developed non-smooth coordinate transformation for general bilateral vibro-impact systems	49
Modeling language ideologies for the dynamics of languages in contact	48
Energy-induced chimera-like states in bilayer memristive FitzHugh–Nagumo neural networks	47
Data-driven modeling of traffic flow in macroscopic network systems	47
Quantifying fluctuations for dynamical power systems with stochastic excitations: A power spectral density-based method	46
A bottom-up approach for recurrence detection based on sampling distance	45
Hydrodynamic modulation instability triggered by a two-wave system	43
Modulational instability, generation, and evolution of rogue waves in the generalized fractional nonlinear Schrödinger equations with power-law nonlinearity and rational potentials	39
A simulation-supported thought experiment for measuring low-dimensional chaotic systems subjected to parameter drift	39
Dynamical analysis and solutions of coupled 4D fractional differential systems with applications to predictability limit quantification in ocean-atmosphere models	38
Reliable detection of directional couplings using cross-vector measures	38
Potential grouping of nodes induced by higher-order structures in complex networks	38

Mathematical modeling of the Chilean riots of 2019: An epidemiological non-local approach	37
Sparse identification of nonlinear dynamical systems via non-convex penalty least squares	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
Locating saddle points using gradient extremals on manifolds adaptively revealed as point clouds	37
Lévy noise influences basin stability in a delayed vegetation-water dynamical system	36
Synchronizing network systems in the presence of limited resources via edge snapping	35
Data-driven stochastic model for cross-interacting processes with different time scales	35
Absence of pure voltage instabilities in the third-order model of power grid dynamics	34
Dynamic stability of electric power grids: Tracking the interplay of the network structure, transmission losses, and voltage dynamics	34
Ordinal pattern transition networks in eye tracking reading signals	33
Forecasting with an N-dimensional Langevin equation and a neural-ordinary differential equation	33
Quantum chaos in non-Markovian open quantum systems: Interferometric OTOC, Loschmidt echo, and commutator operator norm	32
Link prediction of the world container shipping network: A network structure perspective	32
Short-term plasticity promotes synchronization of coupled chaotic oscillators in excitatory–inhibitory networks	32
Recurrent neural networks for dynamical systems: Applications to ordinary differential equations, collective motion, and hydrological modeling	32
Chimeras in globally coupled oscillators: A review	31
Statistical performance of local attractor dimension estimators in non-Axiom A dynamical systems	31
Motion states identification of underwater glider based on complex networks and graph convolutional networks	30
Impact of simplicial complexes on epidemic spreading in partially mapping activity-driven multiplex networks	30
Promoting synchrony of power grids by restructuring network topologies	30
Optimal time-varying coupling function can enhance synchronization in complex networks	30
Catalytic feed-forward explosive synchronization in multilayer networks	30
Role reversal in a stage-structured prey–predator model with fear, delay, and carry-over effects	30
A pressure-free long-time stable reduced-order model for two-dimensional Rayleigh–Bénard convection	29
Optimizing charge-balanced pulse stimulation for desynchronization	29
Symbolic regression via neural networks	29
Stochastic averaging for a type of fractional differential equations with multiplicative fractional Brownian motion	29
Evolutionary dynamics of N-player sender-receiver game in networks with community structure	29
Data-driven control of oscillator networks with population-level measurement	29
Scaling properties of A + B → C reaction–diffusion fronts in finite rectilinear geometries	29
Fast algorithm to identify minimal patterns of synchrony through fibration symmetries in large directed networks	28
Deep learning enhanced dynamic mode decomposition	28
Conditions of acceleration and deceleration of the cancer cell growth under osmotic pressure	28
Non-parametric tests for serial dependence in time series based on asymptotic implementations of ordinal-pattern statistics	28
Asymptotic theory of not completely integrable soliton equations	28
Wavelet analysis for cyclic combustion dynamics of a multi-cylinder CRDI diesel engine fuelled with a blending of argemone biodiesel–diesel oil	27
Synchronization, clustering, and weak chimeras in a densely coupled transcription-based oscillator model for split circadian rhythms	27
A generic model for pandemics in networks of communities and the role of vaccination	27
Characterization of time-dependence for dissipative solitons stabilized by nonlinear gradient terms: Periodic and quasiperiodic vs chaotic behavior	26
Graph neural network for prediction of phase-ordering kinetics	26
Machine-learning potential energy surfaces implications in photodissociation process	26
Universality and scaling in complex networks from periods of Chinese history	26
Koopman and Perron–Frobenius operators on reproducing kernel Banach spaces	26
Detection of Parkinson’s disease using nocturnal breathing signals based on multifractal detrended fluctuation analysis	26
A nonlinear journey from structural phase transitions to quantum annealing	26
First encounters on Watts–Strogatz networks and Barabási–Albert networks	26
Can the Doppler be useful for a benchmark analysis of the wave-like properties of memory-dependent telegraphers’ equation	26
The dynamics of a four-step feedback procedure to control chaos	26
Neural ODE to model and prognose thermoacoustic instability	25

Referee acknowledgment for 2021	25
Analyzing the channels of information dissemination: Investigating abrupt transitions in resource investment	24
Density evolution in stochastic dynamical systems with memory: A universal algorithm	24
Complexity of couplings in multivariate time series via ordinal persistent homology	24
Generalized network dismantling based on cost-aware source-sampling betweenness	24
Control of seizure-like dynamics in neuronal populations with excitability adaptation related to ketogenic diet	24
Explosive adoption of corrupt behaviors in social systems with higher-order interactions	24
Linear vs nonlinear transport during chaotic advection in fluid flows	24
Noise-induced transitions in random Pomeau–Manneville maps	24
Tipping points, multistability, and stochasticity in a two-dimensional traffic network dynamics	24
Hidden multi-scroll and coexisting self-excited attractors in optical injection semiconductor laser system: Its electronic control	23
An integrative dynamical perspective for graph theory and the analysis of complex networks	23
Instability of oscillations in the Rosenzweig–MacArthur model of one consumer and two resources	23
Inferring long memory using extreme events	23
Digital contact tracing on hypergraphs	23
Chemotaxis-driven stationary and oscillatory patterns in a diffusive HIV-1 model with CTL immune response and general sensitivity	23
Control of chimera states via adaptive higher-order interactions	22
Fractional order-induced bifurcations in a delayed neural network with three neurons	22
Structure–function coupling reveals the excitation–inhibition imbalance in autism spectrum disorder: A perspective from large-scale whole-brain network modeling	22
Planetary influences on the solar cycle: A nonlinear dynamics approach	22
Mixed-mode oscillations in a three-timescale coupled Morris–Lecar system	22
A novel mechanism for ramping bursts based on slow negative feedback in model respiratory neurons	22
Learning effective stochastic differential equations from microscopic simulations: Linking stochastic numerics to deep learning	22
Stability analysis of multiplayer games on adaptive simplicial complexes	22
A data-driven framework for Koopman semigroup estimation in stochastic dynamical systems	22
Neural ordinary differential equations for learning and extrapolating system dynamics across bifurcations	21
Characteristics of price related fluctuations in non-fungible token (NFT) market	21
A multiscale symbolic approach to decoding delta and ripple oscillation bands as biomarkers for epileptiform discharges	21
Complete synchronization of two spirals by a messenger wave in a reaction diffusion system	21
Bifurcations and intermittency in coupled dissipative kicked rotors	21
Superconductivity coupling of harmonic resonant oscillators: Homogeneous and heterogeneous extreme multistability with multi-scrolls	21
Mechanism of multistability in chaotic maps	21
Deep learning-based surrogate models for parametrized PDEs: Handling geometric variability through graph neural networks	21
Epidemic dynamics with awareness cascade of positive and negative information on delayed multiplex networks	21
Evolution of trust in N-player trust games with loss assessment	21
Thermal rectifiers based on asymmetric van der Waals heteronanotubes	21
A novel and effective method for characterizing time series correlations based on martingale difference correlation	20
Synchronization and bifurcation in an economic model	20
Impulsive feedback control of birhythmicity: Theory and experiment	20
Erratum: “Variational inference of the drift function for stochastic differential equations driven by Lévy processes” [Chaos 32, 061103 (2022)]	20
Epidemic spreading under game-based self-quarantine behaviors: The different effects of local and global information	20
Identification of network interactions from time series data: An iterative approach	20
Tempered linear and non-linear time series models and their application to heavy-tailed solar flare data	20
Phase-amplitude reduction and optimal phase locking of collectively oscillating networks	20
A robust sparse identification method for nonlinear dynamic systems affected by non-stationary noise	20
Cover times with stochastic resetting	19
Controlling spiral wave dynamics of the BZ system in a modified Oregonator model: From suppression to turbulence	19
Motifs-based link prediction for heterogeneous multilayer networks	19
Ultra-low-energy defibrillation through adjoint optimization	19
Optimizing self-organized topology of recurrence-based complex networks	19
Evolutionary dynamics in spatial public goods games with environmental feedbacks	19
An optimization-based algorithm for obtaining an optimal synchronizable network after link addition or reduction	18
The role of inhibitory neuronal variability in modulating phase diversity between coupled networks	18
Unraveling the importance of early awareness strategy on the dynamics of drug addiction using mathematical modeling approach	18
Co-evolving networks for opinion and social dynamics in agent-based models	18
Dynamical classic limit: Dissipative vs conservative systems	18
Drastic effects of an inert Pt wire on the redox behavior of the Belousov–Zhabotinsky reaction	18
Constraining chaos: Enforcing dynamical invariants in the training of reservoir computers	18
Comparison of discretization strategies for the model-free information-theoretic assessment of short-term physiological interactions	18
Nowhere coexpanding functions	18
Theoretical study and circuit implementation of three chain-coupled self-driven Duffing oscillators	18
Structural position vectors and symmetries in complex networks	18
Hippocampus encoding memory engrams as stable heteroclinic network	18
Deep Learning for chaos detection	18
Guidelines for data-driven approaches to study transitions in multiscale systems: The case of Lyapunov vectors	17
Classification of hyperchaotic, chaotic, and regular signals using single nonlinear node delay-based reservoir computers	17
Quantifying the potential of cascade outbreaks via early infected nodes using network percolation	17
Exact finite-dimensional reduction for a population of noisy oscillators and its link to Ott–Antonsen and Watanabe–Strogatz theories	17
Dynamical noise can enhance high-order statistical structure in complex systems	17
Extreme transient dynamics	17
A comprehensive approach for discrete resilience of complex networks	17
Higher-order interactions induce anomalous transitions to synchrony	17
A dynamical study of Hilda asteroids in the Circular and Elliptic RTBP	17
Spatial evolution of cooperation with variable payoffs	17
Dynamics of a nonlinear resistor-coupled memristive neuron with double membrane	17
Rate-induced tracking for concave or d-concave transitions in a time-dependent environment with application in ecology	17
Variational inference of the drift function for stochastic differential equations driven by Lévy processes	17
Qualitative changes in bifurcation structure for soft vs hard impact models of a vibro-impact energy harvester	17
Templex for Lagrangian dynamics in the Southwestern Atlantic	17
Fractional SEIR model and data-driven predictions of COVID-19 dynamics of Omicron variant	16

Periodic motions with impact chatters in an impact Duffing oscillator	16
Dynamics of predatory effect on saturated plant–pollinator mutualistic relationship	16
The impact of feedbacks on evolutionary game dynamics in structured populations	16
Contagion dynamics in time-varying metapopulation networks with node’s activity and attractiveness	16
Complex dynamics in adaptive phase oscillator networks	16
Co-evolutionary dynamics for two adaptively coupled Theta neurons	16
A mathematical model of reward-mediated learning in drug addiction	16
Phase space partition with Koopman analysis	16
Dispersion complexity–entropy curves: An effective method to characterize the structures of nonlinear time series	16
Strong and weak prediction of stochastic dynamics using reservoir computing	16
CEBoosting: Online sparse identification of dynamical systems with regime switching by causation entropy boosting	16
Interplay of unit-speed constraint and singular communication in the thermodynamic Cucker–Smale model	16
Phase transition in a kinetic mean-field game model of inertial self-propelled agents	15
Numerical study of the transverse diffusion coefficient for a one component model of plasma	15
Amplitude enhancements through rewiring of a non-autonomous delay system	15
Predicting dynamic stability from static features in power grid models using machine learning	15
Lyapunov exponents of multi-state cellular automata	15
Physics informed neural networks simulation of fingering instabilities arising during immiscible and miscible multiphase flow in oil recovery processes	15
Virial-like thermodynamic uncertainty relation in the tight-binding regime	15
Cluster synchronization induced by manifold deformation	15
K-selective percolation: A simple model leading to a rich repertoire of phase transitions	15
Slow passage through a Hopf-like bifurcation in piecewise linear systems: Application to elliptic bursting	15
Stochastic modeling and analysis of the mutual influence between respiratory diseases and air quality	15
On the origin of chaotic attractors with two zero Lyapunov exponents in a system of five biharmonically coupled phase oscillators	15
Interpersonal trust: Asymptotic analysis of a stochastic coordination game with multi-agent learning	15
Power spectral estimate for discrete data	15
Mirroring of synchronization in a bi-layer master–slave configuration of Kuramoto oscillators	15
Chaos, dynamic trapping, and transport of swimming microbes in a vortex chain flow	15
Stability analysis of synchronization in long-range temporal networks using theory of dichotomy	15
Simple cyclic memristive neural networks with coexisting attractors and large-scale amplitude control	15
Slow passage through a saddle-node bifurcation in discrete dynamical systems	15
A universal route from avalanches in mean-field models with random fields to stochastic Poisson branching events	15
Early warnings of tipping in a non-autonomous turbulent reactive flow system: Efficacy, reliability, and warning times	15
Fractional-order quantum kicked top map and its discrete dynamic behaviors	15
Interplay of noise induced stability and stochastic resetting	14
Resilience of weighted networks with dynamical behavior against multi-node removal	14
Phase switching phenomenon in a system of three coupled DC glow discharge plasmas	14
Exploring the role of diffusive coupling in spatiotemporal chaos	14
Adaptive normalizing flows for solving Fokker–Planck equation	14
Chimera states in multiplex networks: Chameleon-like across-layer synchronization	14
Linear response theory for renewable fluctuations in power grids with transmission losses	14
Non-negative matrix factorization for overlapping community detection in directed weighted networks with sparse constraints	14
Stability of heteroclinic cycles in ring graphs	14
Computational demonstrations of density wave of Cooper pairs and paired-electron liquid in the quarter-filled band—A brief review	14
Time-reversal, tori families,\query{Q1} and canards in the Sprott A and NE9 systems	14
Rao–Burbea centroids applied to the statistical characterization of time series and images through ordinal patterns	14
Improving time series prediction accuracy for the maxima of a flow by reconstructions using local cross sections	14
Realization of logic gates in bi-directionally coupled nonlinear oscillators	14
Synchronization of non-identical systems by non-invasive mutual time-delayed feedback	14
Spatiotemporal patterns of firearm acquisition in the United States in different presidential terms	14
Distribution in the geometrically growing system and its evolution	14
Micro-macro consistency in multiscale modeling: Score-based model assisted sampling of fast/slow dynamical systems	14
Further stability criteria for singular Hopf bifurcation in planar predator–prey systems	14
Dynamics of a quartic Korteweg–de Vries equation with multiple dissipations via an Abelian integral approach	14
Vaccination dilemma in the thermodynamic limit	14
Effectiveness of phase synchronization in chaotic food chain model with refugia and Allee effects during seasonal fluctuations	14
Frenetic steering: Nonequilibrium-enabled navigation	14
Classification of cellular automata based on the Hamming distance	13
Rogue wave excitations and hybrid wave structures of the Heisenberg ferromagnet equation with time-dependent inhomogeneous bilinear interaction and spin-transfer torque	13
Anticipating measure synchronization in coupled Hamiltonian systems with machine learning	13
Lean blowout detection using topological data analysis	13
Double grazing bifurcation route in a quasiperiodically driven piecewise linear oscillator	13
System dynamics monitoring using PIC micro-controller-based PLSE	13
Crises and chaotic scattering in hydrodynamic pilot-wave experiments	13
Linear simple cycle reservoirs at the edge of stability perform Fourier decomposition of the input driving signals	13
Analytical predictions of stable and unstable firings to chaos in a Hindmarsh–Rose neuron system	13
Replicator dynamics of public goods games with global exclusion	13
Coupled spreading between information and epidemics on multiplex networks with simplicial complexes	13
Synchronization transitions in phase oscillator populations with partial adaptive coupling	13
Recurrence quantification analysis during a mental calculation task	13
Reservoir computing as digital twins for nonlinear dynamical systems	13
Steering opinion dynamics through control of social networks	13
A novel analytical tool for complex propagation processes in networks: High-order dynamic equation	13
Koopman analysis of the periodic Korteweg–de Vries equation	13
The negative information–epidemic coupling model based on individual emotional responses in multiplex network	13
Plasticity in networks of active chemical cells with pulse coupling	13
The role of solar heat in earthquake activity	13
Neural network approximation of optimal controls for stochastic reaction–diffusion equations	13
Mapping chaos: Bifurcation patterns and shrimp structures in the Ikeda map	13
Leonid Shilnikov and mathematical theory of dynamical chaos	13
Adaptive myelination causes slow oscillations in recurrent neural loops	13
A novel dynamic cardiorespiratory coupling quantification method reveals the effect of aging on the autonomic nervous system	13
A new class of out-gap discrete solitons in binary waveguide arrays	13
Eigenvector centrality in simplicial complexes of hypergraphs	13
Effects of infection fatality ratio and social contact matrices on vaccine prioritization strategies	13
Derivation and rogue waves of the fractional nonlinear Schrödinger equation for the Rossby waves	13
Reservoir computing with random and optimized time-shifts	13
Inverse relationship between diffusion coefficient and mass for a free particle system: Approach by using maximum caliber principle and Monte Carlo simulations	13
Statistical inference for unreliable grading using the maximum entropy principle	13
Control and symmetry breaking aspects of a geomagnetic field inversion model	13
Dimension reduction in higher-order contagious phenomena	13
Bifurcation, chaos, multistability, and organized structures in a predator–prey model with vigilance	13
Intermittent synchronization in non-weakly coupled piecewise-linear expanding map lattice: A geometric-combinatorial approach	13
General rogue waves and modulation instability of the generalized coupled nonlinear Schrödinger system in optical pulses	13
Bifurcation analysis of multistability of synchronous states in the system of two delay-coupled oscillators	13