Chaos

Article	Citations
Nonlinear Schrödinger waves in a disordered potential: Branched flow, spectrum diffusion, and rogue waves	134
Invariant tori in dissipative hyperchaos	102
A pressure-free long-time stable reduced-order model for two-dimensional Rayleigh–Bénard convection	69
Scaling properties of A + B → C reaction–diffusion fronts in finite rectilinear geometries	66
Hierarchical formation of multicluster and chimera states in a network of phase oscillators with high-order adaptive couplings	64
Impact of periodic vaccination in SEIRS seasonal model	64
Exploration of soliton solutions and chaos analysis in thin-film ferroelectric materials	64
The nonlinear Fokker–Planck equation with nongradient drift forces and an anisotropic potential	63
A developed non-smooth coordinate transformation for general bilateral vibro-impact systems	62
Energy-induced chimera-like states in bilayer memristive FitzHugh–Nagumo neural networks	57
Data-driven modeling of traffic flow in macroscopic network systems	55
Hydrodynamic modulation instability triggered by a two-wave system	55
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	51
A simulation-supported thought experiment for measuring low-dimensional chaotic systems subjected to parameter drift	51
Reliable detection of directional couplings using cross-vector measures	50
Dynamical analysis and solutions of coupled 4D fractional differential systems with applications to predictability limit quantification in ocean-atmosphere models	50
Sparse identification of nonlinear dynamical systems via non-convex penalty least squares	49
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	45
Lévy noise influences basin stability in a delayed vegetation-water dynamical system	41
Data-driven stochastic model for cross-interacting processes with different time scales	41
Research on portfolio optimization under asymmetric power-law distribution of return tail	41
Synchronizing network systems in the presence of limited resources via edge snapping	41
Dynamic stability of electric power grids: Tracking the interplay of the network structure, transmission losses, and voltage dynamics	40

Forecasting with an N-dimensional Langevin equation and a neural-ordinary differential equation	40
Data-driven control of oscillator networks with population-level measurement	39
Stochastic averaging for a type of fractional differential equations with multiplicative fractional Brownian motion	38
An algorithm for simplified recurrence analysis	38
Recurrent neural networks for dynamical systems: Applications to ordinary differential equations, collective motion, and hydrological modeling	38
Nonautonomous scalar concave–convex differential equations: Conditions for uniform stability or bistability in a model of optical fluorescence	38
Permutation group entropy: A new route to complexity for real-valued processes	37
ZEUS: Numerical methods to detect quasi-particles describing excitable media	36
Quantifying the nonlinear complexity of optical time-delayed chaotic systems based on reservoir computing	36
Non-parametric tests for serial dependence in time series based on asymptotic implementations of ordinal-pattern statistics	36
Symbolic regression via neural networks	35
Adaptive integral alternating minimization method for robust learning of nonlinear dynamical systems from highly corrupted data	35
Short-term plasticity promotes synchronization of coupled chaotic oscillators in excitatory–inhibitory networks	35
Quasi-objective eddy visualization from sparse drifter data	35
Ordinal pattern transition networks in eye tracking reading signals	33
Motion states identification of underwater glider based on complex networks and graph convolutional networks	33
Chimeras in globally coupled oscillators: A review	33
Optimal time-varying coupling function can enhance synchronization in complex networks	33
Role reversal in a stage-structured prey–predator model with fear, delay, and carry-over effects	33
Catalytic evolution of cooperation in a population with behavioral bimodality	32
Promoting synchrony of power grids by restructuring network topologies	32
Absence of pure voltage instabilities in the third-order model of power grid dynamics	32
Quantifying fluctuations for dynamical power systems with stochastic excitations: A power spectral density-based method	32
Modeling language ideologies for the dynamics of languages in contact	32
Generalized weighted permutation entropy	31
Deep learning enhanced dynamic mode decomposition	31
Asymptotic theory of not completely integrable soliton equations	31
Statistical performance of local attractor dimension estimators in non-Axiom A dynamical systems	30
Quantum chaos in non-Markovian open quantum systems: Interferometric OTOC, Loschmidt echo, and commutator operator norm	30
Optimizing charge-balanced pulse stimulation for desynchronization	30
Impact of simplicial complexes on epidemic spreading in partially mapping activity-driven multiplex networks	30
Quantum integrability and chaos in a periodic Toda lattice with balanced loss–gain	29
Evolutionary dynamics of N-player sender-receiver game in networks with community structure	29
Unfolding the distribution of periodicity regions and diversity of chaotic attractors in the Chialvo neuron map	29
Memory-based parameterization with differentiable solver: Application to Lorenz ’96	29
Dynamic topology and percolation criticality in higher-order activity–vulnerability driven networks	29
Fast algorithm to identify minimal patterns of synchrony through fibration symmetries in large directed networks	28
Universality and scaling in complex networks from periods of Chinese history	28
Synchronization, clustering, and weak chimeras in a densely coupled transcription-based oscillator model for split circadian rhythms	28
Characterization of time-dependence for dissipative solitons stabilized by nonlinear gradient terms: Periodic and quasiperiodic vs chaotic behavior	28
A generic model for pandemics in networks of communities and the role of vaccination	28
Graph neural network for prediction of phase-ordering kinetics	27
A nonlinear journey from structural phase transitions to quantum annealing	27
First encounters on Watts–Strogatz networks and Barabási–Albert networks	27
Neural ODE to model and prognose thermoacoustic instability	26
Can the Doppler be useful for a benchmark analysis of the wave-like properties of memory-dependent telegraphers’ equation	26
Machine-learning potential energy surfaces implications in photodissociation process	26
Analyzing the channels of information dissemination: Investigating abrupt transitions in resource investment	26
Referee acknowledgment for 2021	26
Linear vs nonlinear transport during chaotic advection in fluid flows	26

Complete synchronization of two spirals by a messenger wave in a reaction diffusion system	25
Generalized network dismantling based on cost-aware source-sampling betweenness	25
Hidden multi-scroll and coexisting self-excited attractors in optical injection semiconductor laser system: Its electronic control	25
Density evolution in stochastic dynamical systems with memory: A universal algorithm	25
Mechanism of multistability in chaotic maps	25
Noise-induced transitions in random Pomeau–Manneville maps	25
Digital contact tracing on hypergraphs	24
Conditions of acceleration and deceleration of the cancer cell growth under osmotic pressure	24
A data-driven framework for Koopman semigroup estimation in stochastic dynamical systems	24
Explosive adoption of corrupt behaviors in social systems with higher-order interactions	24
Evolution of trust in N-player trust games with loss assessment	24
Tipping points, multistability, and stochasticity in a two-dimensional traffic network dynamics	24
Control of seizure-like dynamics in neuronal populations with excitability adaptation related to ketogenic diet	24
Deep learning-based surrogate models for parametrized PDEs: Handling geometric variability through graph neural networks	24
Hierarchical clustering in mean-field coupled Stuart–Landau oscillators	24
Wavelet analysis for cyclic combustion dynamics of a multi-cylinder CRDI diesel engine fuelled with a blending of argemone biodiesel–diesel oil	24
Planetary influences on the solar cycle: A nonlinear dynamics approach	23
Complexity of couplings in multivariate time series via ordinal persistent homology	23
Control of chimera states via adaptive higher-order interactions	23
Mixed-mode oscillations in a three-timescale coupled Morris–Lecar system	23
Instability of oscillations in the Rosenzweig–MacArthur model of one consumer and two resources	23
Koopman and Perron–Frobenius operators on reproducing kernel Banach spaces	22
Neural ordinary differential equations for learning and extrapolating system dynamics across bifurcations	22
A multiscale symbolic approach to decoding delta and ripple oscillation bands as biomarkers for epileptiform discharges	22
Bifurcations and intermittency in coupled dissipative kicked rotors	22
Structure–function coupling reveals the excitation–inhibition imbalance in autism spectrum disorder: A perspective from large-scale whole-brain network modeling	22
Chemotaxis-driven stationary and oscillatory patterns in a diffusive HIV-1 model with CTL immune response and general sensitivity	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	21
Characteristics of price related fluctuations in non-fungible token (NFT) market	21
A novel and effective method for characterizing time series correlations based on martingale difference correlation	21
A robust sparse identification method for nonlinear dynamic systems affected by non-stationary noise	21
Superconductivity coupling of harmonic resonant oscillators: Homogeneous and heterogeneous extreme multistability with multi-scrolls	21
Stability analysis of multiplayer games on adaptive simplicial complexes	21
Detection of Parkinson’s disease using nocturnal breathing signals based on multifractal detrended fluctuation analysis	21
Fractional order-induced bifurcations in a delayed neural network with three neurons	21
Thermal rectifiers based on asymmetric van der Waals heteronanotubes	21
Epidemic dynamics with awareness cascade of positive and negative information on delayed multiplex networks	21
An integrative dynamical perspective for graph theory and the analysis of complex networks	21
Erratum: “Variational inference of the drift function for stochastic differential equations driven by Lévy processes” [Chaos 32, 061103 (2022)]	21
Impulsive feedback control of birhythmicity: Theory and experiment	20
Controlling spiral wave dynamics of the BZ system in a modified Oregonator model: From suppression to turbulence	20
Cover times with stochastic resetting	20
Identification of network interactions from time series data: An iterative approach	20
Optimizing self-organized topology of recurrence-based complex networks	20
Dynamical classic limit: Dissipative vs conservative systems	20
Evolutionary dynamics in spatial public goods games with environmental feedbacks	20
The role of inhibitory neuronal variability in modulating phase diversity between coupled networks	20
Motifs-based link prediction for heterogeneous multilayer networks	20
An optimization-based algorithm for obtaining an optimal synchronizable network after link addition or reduction	19
A dynamical study of Hilda asteroids in the Circular and Elliptic RTBP	19
Deep Learning for chaos detection	19
Structural position vectors and symmetries in complex networks	19
Quantifying the potential of cascade outbreaks via early infected nodes using network percolation	19
Contagion dynamics in time-varying metapopulation networks with node’s activity and attractiveness	19
Nowhere coexpanding functions	19
Variational inference of the drift function for stochastic differential equations driven by Lévy processes	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
Templex for Lagrangian dynamics in the Southwestern Atlantic	18
Spatial evolution of cooperation with variable payoffs	18
Co-evolutionary dynamics for two adaptively coupled Theta neurons	18
Guidelines for data-driven approaches to study transitions in multiscale systems: The case of Lyapunov vectors	18
Strong and weak prediction of stochastic dynamics using reservoir computing	18
A comprehensive approach for discrete resilience of complex networks	18
Complex dynamics in adaptive phase oscillator networks	18
Dynamics of a nonlinear resistor-coupled memristive neuron with double membrane	18
Constraining chaos: Enforcing dynamical invariants in the training of reservoir computers	18
Dynamical noise can enhance high-order statistical structure in complex systems	18
Dynamics of predatory effect on saturated plant–pollinator mutualistic relationship	18
Theoretical study and circuit implementation of three chain-coupled self-driven Duffing oscillators	17
Qualitative changes in bifurcation structure for soft vs hard impact models of a vibro-impact energy harvester	17
Phase space partition with Koopman analysis	17
Co-evolving networks for opinion and social dynamics in agent-based models	17
Periodic motions with impact chatters in an impact Duffing oscillator	17
Comparison of discretization strategies for the model-free information-theoretic assessment of short-term physiological interactions	17
Interplay of unit-speed constraint and singular communication in the thermodynamic Cucker–Smale model	17
Hippocampus encoding memory engrams as stable heteroclinic network	17
Ultra-low-energy defibrillation through adjoint optimization	17
Extreme transient dynamics	17

Phase-amplitude reduction and optimal phase locking of collectively oscillating networks	17
Exact finite-dimensional reduction for a population of noisy oscillators and its link to Ott–Antonsen and Watanabe–Strogatz theories	17
Rate-induced tracking for concave or d-concave transitions in a time-dependent environment with application in ecology	17
Predicting collective states of a star network using reservoir computing	17
CEBoosting: Online sparse identification of dynamical systems with regime switching by causation entropy boosting	17
Dispersion complexity–entropy curves: An effective method to characterize the structures of nonlinear time series	17
Synchronization and bifurcation in an economic model	17
Unraveling the importance of early awareness strategy on the dynamics of drug addiction using mathematical modeling approach	17
The impact of feedbacks on evolutionary game dynamics in structured populations	16
Cluster synchronization induced by manifold deformation	16
Power spectral estimate for discrete data	16
K-selective percolation: A simple model leading to a rich repertoire of phase transitions	16
Early warnings of tipping in a non-autonomous turbulent reactive flow system: Efficacy, reliability, and warning times	16
A mathematical model of reward-mediated learning in drug addiction	16
Slow passage through a saddle-node bifurcation in discrete dynamical systems	16
Drastic effects of an inert Pt wire on the redox behavior of the Belousov–Zhabotinsky reaction	16
Virial-like thermodynamic uncertainty relation in the tight-binding regime	16
Fractional-order quantum kicked top map and its discrete dynamic behaviors	16
Predicting dynamic stability from static features in power grid models using machine learning	16
A universal route from avalanches in mean-field models with random fields to stochastic Poisson branching events	16
Fractional SEIR model and data-driven predictions of COVID-19 dynamics of Omicron variant	16
Stochastic modeling and analysis of the mutual influence between respiratory diseases and air quality	16
Slow passage through a Hopf-like bifurcation in piecewise linear systems: Application to elliptic bursting	16
Numerical study of the transverse diffusion coefficient for a one component model of plasma	16
Higher-order interactions induce anomalous transitions to synchrony	16
Interplay of noise induced stability and stochastic resetting	15
Computational demonstrations of density wave of Cooper pairs and paired-electron liquid in the quarter-filled band—A brief review	15
Chaos, dynamic trapping, and transport of swimming microbes in a vortex chain flow	15
Further stability criteria for singular Hopf bifurcation in planar predator–prey systems	15
Effectiveness of phase synchronization in chaotic food chain model with refugia and Allee effects during seasonal fluctuations	15
Anticipating measure synchronization in coupled Hamiltonian systems with machine learning	15
Adaptive normalizing flows for solving Fokker–Planck equation	15
Frenetic steering: Nonequilibrium-enabled navigation	15
Stability of heteroclinic cycles in ring graphs	15
Distribution in the geometrically growing system and its evolution	15
Phase switching phenomenon in a system of three coupled DC glow discharge plasmas	15
Exploring the role of diffusive coupling in spatiotemporal chaos	15
Mapping chaos: Bifurcation patterns and shrimp structures in the Ikeda map	15
The negative information–epidemic coupling model based on individual emotional responses in multiplex network	15
Improving time series prediction accuracy for the maxima of a flow by reconstructions using local cross sections	15
Spatiotemporal patterns of firearm acquisition in the United States in different presidential terms	15
Time-reversal, tori families,\query{Q1} and canards in the Sprott A and NE9 systems	15
Stability analysis of synchronization in long-range temporal networks using theory of dichotomy	15
Resilience of weighted networks with dynamical behavior against multi-node removal	15
Vaccination dilemma in the thermodynamic limit	15
On the origin of chaotic attractors with two zero Lyapunov exponents in a system of five biharmonically coupled phase oscillators	15
Dynamics of a quartic Korteweg–de Vries equation with multiple dissipations via an Abelian integral approach	15
Rao–Burbea centroids applied to the statistical characterization of time series and images through ordinal patterns	15
Leonid Shilnikov and mathematical theory of dynamical chaos	14
Steering opinion dynamics through control of social networks	14
Effects of infection fatality ratio and social contact matrices on vaccine prioritization strategies	14
Classification of cellular automata based on the Hamming distance	14
Realization of logic gates in bi-directionally coupled nonlinear oscillators	14
Bifurcation, chaos, multistability, and organized structures in a predator–prey model with vigilance	14
Recurrence quantification analysis during a mental calculation task	14
Dimension reduction in higher-order contagious phenomena	14
Physics informed neural networks simulation of fingering instabilities arising during immiscible and miscible multiphase flow in oil recovery processes	14
Synchronization transitions in phase oscillator populations with partial adaptive coupling	14
Recurrent chaotic clustering and slow chaos in adaptive networks	14
Intermittent synchronization in non-weakly coupled piecewise-linear expanding map lattice: A geometric-combinatorial approach	14
Linear response theory for renewable fluctuations in power grids with transmission losses	14
Chimera states in multiplex networks: Chameleon-like across-layer synchronization	14
Rogue wave excitations and hybrid wave structures of the Heisenberg ferromagnet equation with time-dependent inhomogeneous bilinear interaction and spin-transfer torque	14
Eigenvector centrality in simplicial complexes of hypergraphs	14
Mirroring of synchronization in a bi-layer master–slave configuration of Kuramoto oscillators	14
Introduction to focus issue: In memory of Vadim S. Anishchenko: Statistical physics and nonlinear dynamics of complex systems	14
Derivation and rogue waves of the fractional nonlinear Schrödinger equation for the Rossby waves	14
Analytical predictions of stable and unstable firings to chaos in a Hindmarsh–Rose neuron system	14
A new class of out-gap discrete solitons in binary waveguide arrays	14
Synchronization of non-identical systems by non-invasive mutual time-delayed feedback	14
Simple cyclic memristive neural networks with coexisting attractors and large-scale amplitude control	14
Adaptive myelination causes slow oscillations in recurrent neural loops	14
Coupled spreading between information and epidemics on multiplex networks with simplicial complexes	14
Replicator dynamics of public goods games with global exclusion	14
Impacts of memory-based and non-memory-based adoption in social contagion	13
A chaotic map with two-dimensional offset boosting	13
Arnold diffusion for an a priori unstable Hamiltonian system with 3 + 1/2 degrees of freedom	13
Curvature-dependent onset of oscillations in excitable tissue	13
Reservoir computing as digital twins for nonlinear dynamical systems	13
Koopman analysis of the periodic Korteweg–de Vries equation	13
Elastic to plastic transition in amorphous solids	13
Final epidemic size and critical times for susceptible–infectious–recovered models with a generalized contact rate	13
Large-space and large-time asymptotic properties of vector rogon-soliton and soliton-like solutions for n-component NLS equations	13
The Sprott B system	13
Identification of critical points in transient electroconvection dynamics using tensor bundles	13
Inverse relationship between diffusion coefficient and mass for a free particle system: Approach by using maximum caliber principle and Monte Carlo simulations	13
Point process analysis of geographical diffusion of news in Argentina	13
On generalized bidimensional ensemble permutation entropy	13
Detecting disturbances in network-coupled dynamical systems with machine learning	13
Identification of the continuum field structure at multiple scale levels	13
Inferring kernel ϵ-machines: Discovering structure in complex systems	13
Lean blowout detection using topological data analysis	13
The role of solar heat in earthquake activity	13
The asymptotic distribution of the permutation entropy	13
Piezoelectric energy harvesting and synchronization of excited and modified Huygens’s pendulums	13