Chaos

Article	Citations
Forecasting with an N-dimensional Langevin equation and a neural-ordinary differential equation	114
Geometric invariance of determining and resonating centers: Odd- and any-number limitations of Pyragas control	90
Ordinal pattern transition networks in eye tracking reading signals	79
Promoting synchrony of power grids by restructuring network topologies	60
Memory-based parameterization with differentiable solver: Application to Lorenz ’96	53
Deterministic modeling of the diffusive memristor	51
Chimeras in globally coupled oscillators: A review	49
Cyclonic and anticyclonic rotation in a cylinder cooled inhomogeneously on the top	49
A developed non-smooth coordinate transformation for general bilateral vibro-impact systems	47
Impact of periodic vaccination in SEIRS seasonal model	46
A pressure-free long-time stable reduced-order model for two-dimensional Rayleigh–Bénard convection	44
Motion states identification of underwater glider based on complex networks and graph convolutional networks	44
Quasi-objective eddy visualization from sparse drifter data	43
Data-driven control of oscillator networks with population-level measurement	43
Symbolic regression via neural networks	41
Asymptotic theory of not completely integrable soliton equations	40
Lévy noise influences basin stability in a delayed vegetation-water dynamical system	40
Path-integral solution of MacArthur’s resource-competition model for large ecosystems with random species-resources couplings	38
A bottom-up approach for recurrence detection based on sampling distance	37
Link prediction of the world container shipping network: A network structure perspective	35
Potential grouping of nodes induced by higher-order structures in complex networks	35
Nonlinear Schrödinger waves in a disordered potential: Branched flow, spectrum diffusion, and rogue waves	35
Catalytic feed-forward explosive synchronization in multilayer networks	35
Sparse identification of nonlinear dynamical systems via non-convex penalty least squares	34
Adaptive integral alternating minimization method for robust learning of nonlinear dynamical systems from highly corrupted data	33

Absence of pure voltage instabilities in the third-order model of power grid dynamics	33
Data-driven stochastic model for cross-interacting processes with different time scales	33
Locating saddle points using gradient extremals on manifolds adaptively revealed as point clouds	33
Quantum integrability and chaos in a periodic Toda lattice with balanced loss–gain	32
Invariant tori in dissipative hyperchaos	31
Permutation group entropy: A new route to complexity for real-valued processes	31
An algorithm for simplified recurrence analysis	31
Dynamic stability of electric power grids: Tracking the interplay of the network structure, transmission losses, and voltage dynamics	31
Hydrodynamic modulation instability triggered by a two-wave system	30
Research on portfolio optimization under asymmetric power-law distribution of return tail	30
Synchronizing network systems in the presence of limited resources via edge snapping	30
Unfolding the distribution of periodicity regions and diversity of chaotic attractors in the Chialvo neuron map	29
Modulational instability, generation, and evolution of rogue waves in the generalized fractional nonlinear Schrödinger equations with power-law nonlinearity and rational potentials	29
Reliable detection of directional couplings using cross-vector measures	29
Modeling language ideologies for the dynamics of languages in contact	29
Recurrent neural networks for dynamical systems: Applications to ordinary differential equations, collective motion, and hydrological modeling	29
Modulation theory for pattern forming systems with a spatial 1:2-resonance	29
Exploration of soliton solutions and chaos analysis in thin-film ferroelectric materials	28
Mathematical modeling of the Chilean riots of 2019: An epidemiological non-local approach	28
Stochastic averaging for a type of fractional differential equations with multiplicative fractional Brownian motion	28
Quantifying fluctuations for dynamical power systems with stochastic excitations: A power spectral density-based method	28
Statistical performance of local attractor dimension estimators in non-Axiom A dynamical systems	28
Optimal time-varying coupling function can enhance synchronization in complex networks	27
Role reversal in a stage-structured prey–predator model with fear, delay, and carry-over effects	27
Catalytic evolution of cooperation in a population with behavioral bimodality	27
Non-parametric tests for serial dependence in time series based on asymptotic implementations of ordinal-pattern statistics	27
Asymmetrical dynamics of epidemic propagation and awareness diffusion in multiplex networks	27
Impact of simplicial complexes on epidemic spreading in partially mapping activity-driven multiplex networks	26
Evolutionary dynamics of N-player sender-receiver game in networks with community structure	26
Generalized weighted permutation entropy	26
Deep learning enhanced dynamic mode decomposition	26
Evolution of trust in N-player trust games with loss assessment	25
Koopman and Perron–Frobenius operators on reproducing kernel Banach spaces	25
Universality and scaling in complex networks from periods of Chinese history	25
Optimizing charge-balanced pulse stimulation for desynchronization	25
First encounters on Watts–Strogatz networks and Barabási–Albert networks	25
Fractional order-induced bifurcations in a delayed neural network with three neurons	24
Unconsciousness reconfigures modular brain network dynamics	24
Inferring long memory using extreme events	24
Hidden multi-scroll and coexisting self-excited attractors in optical injection semiconductor laser system: Its electronic control	24
Complexity of couplings in multivariate time series via ordinal persistent homology	24
Erratum: “Analysis of diagonals in cross recurrence plots between heart rate and systolic blood pressure during supine position and active standing in healthy adults” [Chaos 28, 085704 (2018)]	24
Detection of Parkinson’s disease using nocturnal breathing signals based on multifractal detrended fluctuation analysis	24
Complete synchronization of two spirals by a messenger wave in a reaction diffusion system	24
Digital contact tracing on hypergraphs	24
The dynamics of a four-step feedback procedure to control chaos	24
Neural ODE to model and prognose thermoacoustic instability	23
Stability analysis of multiplayer games on adaptive simplicial complexes	23
Learning effective stochastic differential equations from microscopic simulations: Linking stochastic numerics to deep learning	23
A generic model for pandemics in networks of communities and the role of vaccination	23

Planetary influences on the solar cycle: A nonlinear dynamics approach	23
Conditions of acceleration and deceleration of the cancer cell growth under osmotic pressure	23
Can the Doppler be useful for a benchmark analysis of the wave-like properties of memory-dependent telegraphers’ equation	23
Referee acknowledgment for 2021	23
An integrative dynamical perspective for graph theory and the analysis of complex networks	23
Superconductivity coupling of harmonic resonant oscillators: Homogeneous and heterogeneous extreme multistability with multi-scrolls	23
Control of seizure-like dynamics in neuronal populations with excitability adaptation related to ketogenic diet	22
Linear vs nonlinear transport during chaotic advection in fluid flows	22
Characteristics of price related fluctuations in non-fungible token (NFT) market	22
Instability of oscillations in the Rosenzweig–MacArthur model of one consumer and two resources	22
Chaos–hyperchaos transition in three identical quorum-sensing mean-field coupled ring oscillators	22
A nonlinear journey from structural phase transitions to quantum annealing	22
A novel mechanism for ramping bursts based on slow negative feedback in model respiratory neurons	22
Tipping points, multistability, and stochasticity in a two-dimensional traffic network dynamics	22
Wavelet analysis for cyclic combustion dynamics of a multi-cylinder CRDI diesel engine fuelled with a blending of argemone biodiesel–diesel oil	22
Analyzing the channels of information dissemination: Investigating abrupt transitions in resource investment	21
Machine-learning potential energy surfaces implications in photodissociation process	21
Chemotaxis-driven stationary and oscillatory patterns in a diffusive HIV-1 model with CTL immune response and general sensitivity	21
Fast algorithm to identify minimal patterns of synchrony through fibration symmetries in large directed networks	21
A multiscale symbolic approach to decoding delta and ripple oscillation bands as biomarkers for epileptiform discharges	21
Epidemic dynamics with awareness cascade of positive and negative information on delayed multiplex networks	21
Deep learning-based surrogate models for parametrized PDEs: Handling geometric variability through graph neural networks	20
Characterization of time-dependence for dissipative solitons stabilized by nonlinear gradient terms: Periodic and quasiperiodic vs chaotic behavior	20
Comparison of discretization strategies for the model-free information-theoretic assessment of short-term physiological interactions	20
Contagion dynamics in time-varying metapopulation networks with node’s activity and attractiveness	20
Mixed-mode oscillations in a three-timescale coupled Morris–Lecar system	20
Synchronization, clustering, and weak chimeras in a densely coupled transcription-based oscillator model for split circadian rhythms	20
Epidemic spreading under game-based self-quarantine behaviors: The different effects of local and global information	20
Mechanism of multistability in chaotic maps	20
Cover times with stochastic resetting	20
Theoretical study and circuit implementation of three chain-coupled self-driven Duffing oscillators	20
CEBoosting: Online sparse identification of dynamical systems with regime switching by causation entropy boosting	19
Deep Learning for chaos detection	19
Strong and weak prediction of stochastic dynamics using reservoir computing	19
Dynamical classic limit: Dissipative vs conservative systems	19
Constraining chaos: Enforcing dynamical invariants in the training of reservoir computers	19
Classification of hyperchaotic, chaotic, and regular signals using single nonlinear node delay-based reservoir computers	19
Exact finite-dimensional reduction for a population of noisy oscillators and its link to Ott–Antonsen and Watanabe–Strogatz theories	19
Motifs-based link prediction for heterogeneous multilayer networks	19
Fractional SEIR model and data-driven predictions of COVID-19 dynamics of Omicron variant	19
Qualitative changes in bifurcation structure for soft vs hard impact models of a vibro-impact energy harvester	19
Guidelines for data-driven approaches to study transitions in multiscale systems: The case of Lyapunov vectors	19
Extreme transient dynamics	19
Dispersion complexity–entropy curves: An effective method to characterize the structures of nonlinear time series	19
Co-evolving networks for opinion and social dynamics in agent-based models	18
A dynamical study of Hilda asteroids in the Circular and Elliptic RTBP	18
Competitive interplay of repulsive coupling and cross-correlated noises in bistable systems	18
An optimization-based algorithm for obtaining an optimal synchronizable network after link addition or reduction	18
Ultra-low-energy defibrillation through adjoint optimization	18
Hippocampus encoding memory engrams as stable heteroclinic network	18
A novel and effective method for characterizing time series correlations based on martingale difference correlation	18
Discriminating Gaussian processes via quadratic form statistics	18
Time-delayed and stochastic effects in a predator–prey model with ratio dependence and Holling type III functional response	17
Complex dynamics in adaptive phase oscillator networks	17
Transition pathways for a class of high dimensional stochastic dynamical systems with Lévy noise	17
Erratum: “Variational inference of the drift function for stochastic differential equations driven by Lévy processes” [Chaos 32, 061103 (2022)]	17
Drastic effects of an inert Pt wire on the redox behavior of the Belousov–Zhabotinsky reaction	17
Evolutionary dynamics in spatial public goods games with environmental feedbacks	17
Repulsive inter-layer coupling induces anti-phase synchronization	17
Synchronization and bifurcation in an economic model	17
A comprehensive approach for discrete resilience of complex networks	17
A robust sparse identification method for nonlinear dynamic systems affected by non-stationary noise	17
Co-evolutionary dynamics for two adaptively coupled Theta neurons	17
Stochastic approach for assessing the predictability of chaotic time series using reservoir computing	17
Structural position vectors and symmetries in complex networks	17
Variational inference of the drift function for stochastic differential equations driven by Lévy processes	17
Quantifying the potential of cascade outbreaks via early infected nodes using network percolation	16
Phase-amplitude reduction and optimal phase locking of collectively oscillating networks	16
Nowhere coexpanding functions	16
Impulsive feedback control of birhythmicity: Theory and experiment	16
Controlling spiral wave dynamics of the BZ system in a modified Oregonator model: From suppression to turbulence	16
Phase space partition with Koopman analysis	16
Dynamics of predatory effect on saturated plant–pollinator mutualistic relationship	16
A mathematical model of reward-mediated learning in drug addiction	16
Interplay of unit-speed constraint and singular communication in the thermodynamic Cucker–Smale model	16
Identification of network interactions from time series data: An iterative approach	16
Efficiency of communities and financial markets during the 2020 pandemic	16
Spatial evolution of cooperation with variable payoffs	16
Optimizing self-organized topology of recurrence-based complex networks	16
Tempered linear and non-linear time series models and their application to heavy-tailed solar flare data	16

Periodic motions with impact chatters in an impact Duffing oscillator	16
Dynamical noise can enhance high-order statistical structure in complex systems	16
Rate-induced tracking for concave or d-concave transitions in a time-dependent environment with application in ecology	16
Numerical study of the transverse diffusion coefficient for a one component model of plasma	15
Higher-order interactions induce anomalous transitions to synchrony	15
Slow passage through a Hopf-like bifurcation in piecewise linear systems: Application to elliptic bursting	15
Early warnings of tipping in a non-autonomous turbulent reactive flow system: Efficacy, reliability, and warning times	15
Stability analysis of synchronization in long-range temporal networks using theory of dichotomy	15
Eigenvector centrality in simplicial complexes of hypergraphs	15
Bistability in a tri-trophic food chain model: Basin stability perspective	15
Introduction to focus issue: In memory of Vadim S. Anishchenko: Statistical physics and nonlinear dynamics of complex systems	15
Derivation and rogue waves of the fractional nonlinear Schrödinger equation for the Rossby waves	15
Interplay of noise induced stability and stochastic resetting	15
Exciting extreme events in the damped and AC-driven NLS equation through plane-wave initial conditions	15
General rogue waves and modulation instability of the generalized coupled nonlinear Schrödinger system in optical pulses	15
Unraveling the importance of early awareness strategy on the dynamics of drug addiction using mathematical modeling approach	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	14
Mirroring of synchronization in a bi-layer master–slave configuration of Kuramoto oscillators	14
Classification of cellular automata based on the Hamming distance	14
Resilience of weighted networks with dynamical behavior against multi-node removal	14
Size matters: Effects of the size of heterogeneity on the wave re-entry and spiral wave formation in an excitable media	14
Synchronization of non-identical systems by non-invasive mutual time-delayed feedback	14
Phase transition in a kinetic mean-field game model of inertial self-propelled agents	14
Chimera states in multiplex networks: Chameleon-like across-layer synchronization	14
Time-reversal, tori families,\query{Q1} and canards in the Sprott A and NE9 systems	14
Recurrent chaotic clustering and slow chaos in adaptive networks	14
Realization of logic gates in bi-directionally coupled nonlinear oscillators	14
Exploring the role of diffusive coupling in spatiotemporal chaos	14
Effectiveness of phase synchronization in chaotic food chain model with refugia and Allee effects during seasonal fluctuations	14
Accurate deep learning-based filtering for chaotic dynamics by identifying instabilities without an ensemble	14
Adaptive myelination causes slow oscillations in recurrent neural loops	14
Micro-macro consistency in multiscale modeling: Score-based model assisted sampling of fast/slow dynamical systems	14
Linear response theory for renewable fluctuations in power grids with transmission losses	14
Fractional-order quantum kicked top map and its discrete dynamic behaviors	14
Vaccination dilemma in the thermodynamic limit	14
Non-negative matrix factorization for overlapping community detection in directed weighted networks with sparse constraints	14
Phase switching phenomenon in a system of three coupled DC glow discharge plasmas	14
Replicator dynamics of public goods games with global exclusion	13
Interpersonal trust: Asymptotic analysis of a stochastic coordination game with multi-agent learning	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
Power spectral estimate for discrete data	13
Computational demonstrations of density wave of Cooper pairs and paired-electron liquid in the quarter-filled band—A brief review	13
Bifurcation, chaos, multistability, and organized structures in a predator–prey model with vigilance	13
Amplitude enhancements through rewiring of a non-autonomous delay system	13
Synchronization of nonlinearly coupled networks based on circle criterion	13
Dimension reduction in higher-order contagious phenomena	13
Stability of heteroclinic cycles in ring graphs	13
Cluster synchronization induced by manifold deformation	13
Demand-driven spreading patterns of African swine fever in China	13
Lyapunov exponents of multi-state cellular automata	13
Bifurcation analysis of multistability of synchronous states in the system of two delay-coupled oscillators	13
Rao–Burbea centroids applied to the statistical characterization of time series and images through ordinal patterns	13
K-selective percolation: A simple model leading to a rich repertoire of phase transitions	13
On the origin of chaotic attractors with two zero Lyapunov exponents in a system of five biharmonically coupled phase oscillators	13
Steering opinion dynamics through control of social networks	13
Virial-like thermodynamic uncertainty relation in the tight-binding regime	13
Effects of infection fatality ratio and social contact matrices on vaccine prioritization strategies	13
Mapping chaos: Bifurcation patterns and shrimp structures in the Ikeda map	13
Recurrence quantification analysis during a mental calculation task	13
Frenetic steering: Nonequilibrium-enabled navigation	13
Distribution in the geometrically growing system and its evolution	13
Predicting dynamic stability from static features in power grid models using machine learning	13
Analytical predictions of stable and unstable firings to chaos in a Hindmarsh–Rose neuron system	13
Inverse relationship between diffusion coefficient and mass for a free particle system: Approach by using maximum caliber principle and Monte Carlo simulations	12
Identification of the continuum field structure at multiple scale levels	12
Plasticity in networks of active chemical cells with pulse coupling	12
Qualitative analysis of a Filippov wild-sterile mosquito population model with immigration	12
Rijke tube: A nonlinear oscillator	12
A new class of out-gap discrete solitons in binary waveguide arrays	12
Rogue wave excitations and hybrid wave structures of the Heisenberg ferromagnet equation with time-dependent inhomogeneous bilinear interaction and spin-transfer torque	12
Threshold incentive mechanisms for the sustainable management of public resources	12
Control and symmetry breaking aspects of a geomagnetic field inversion model	12
A self-consistent analytical theory for rotator networks under stochastic forcing: Effects of intrinsic noise and common input	12
Coupled spreading between information and epidemics on multiplex networks with simplicial complexes	12
A mechanical analog of Bohr’s atom based on de Broglie’s double-solution approach	12
Reservoir computing as digital twins for nonlinear dynamical systems	12
Anticipating measure synchronization in coupled Hamiltonian systems with machine learning	12
Reservoir computing with random and optimized time-shifts	12
Multifractal dimension spectrum analysis for nuclear density distribution	12
Large-space and large-time asymptotic properties of vector rogon-soliton and soliton-like solutions for n-component NLS equations	12
Controlling species densities in structurally perturbed intransitive cycles with higher-order interactions	12
Synchronization transitions in phase oscillator populations with partial adaptive coupling	12
Simple cyclic memristive neural networks with coexisting attractors and large-scale amplitude control	12
Leonid Shilnikov and mathematical theory of dynamical chaos	12
Double grazing bifurcation route in a quasiperiodically driven piecewise linear oscillator	12
The applicability limits of the lowest-order substitute model for a cantilever beam system hard-impacting a moving base	12
Stability of Kuramoto networks subject to large and small fluctuations from heterogeneous and spatially correlated noise	11
Oscillatory dynamics in a reaction network based on imine hydrolysis	11
Neural network approximation of optimal controls for stochastic reaction–diffusion equations	11
On a doubly reduced model for dynamics of heterogeneous mixtures of stiffened gases, its regularizations and their implementations	11
Optimal parameterizing manifolds for anticipating tipping points and higher-order critical transitions	11
The asymptotic distribution of the permutation entropy	11
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-	11