Chaos

Article	Citations
Memory-based parameterization with differentiable solver: Application to Lorenz ’96	118
Cyclonic and anticyclonic rotation in a cylinder cooled inhomogeneously on the top	94
A developed non-smooth coordinate transformation for general bilateral vibro-impact systems	81
A pressure-free long-time stable reduced-order model for two-dimensional Rayleigh–Bénard convection	61
Motion states identification of underwater glider based on complex networks and graph convolutional networks	52
Data-driven control of oscillator networks with population-level measurement	51
Lévy noise influences basin stability in a delayed vegetation-water dynamical system	49
Asymptotic theory of not completely integrable soliton equations	49
A bottom-up approach for recurrence detection based on sampling distance	48
Link prediction of the world container shipping network: A network structure perspective	48
Catalytic feed-forward explosive synchronization in multilayer networks	45
Potential grouping of nodes induced by higher-order structures in complex networks	44
Nonlinear Schrödinger waves in a disordered potential: Branched flow, spectrum diffusion, and rogue waves	44
Sparse identification of nonlinear dynamical systems via non-convex penalty least squares	42
Data-driven stochastic model for cross-interacting processes with different time scales	39
Locating saddle points using gradient extremals on manifolds adaptively revealed as point clouds	37
Adaptive integral alternating minimization method for robust learning of nonlinear dynamical systems from highly corrupted data	37
Quantum integrability and chaos in a periodic Toda lattice with balanced loss–gain	36
Permutation group entropy: A new route to complexity for real-valued processes	35
Dynamic stability of electric power grids: Tracking the interplay of the network structure, transmission losses, and voltage dynamics	35
An algorithm for simplified recurrence analysis	34
Hydrodynamic modulation instability triggered by a two-wave system	34
Research on portfolio optimization under asymmetric power-law distribution of return tail	33
Modulational instability, generation, and evolution of rogue waves in the generalized fractional nonlinear Schrödinger equations with power-law nonlinearity and rational potentials	33
Synchronizing network systems in the presence of limited resources via edge snapping	33

Mathematical modeling of the Chilean riots of 2019: An epidemiological non-local approach	31
Quantifying fluctuations for dynamical power systems with stochastic excitations: A power spectral density-based method	31
Optimizing charge-balanced pulse stimulation for desynchronization	31
Exploration of soliton solutions and chaos analysis in thin-film ferroelectric materials	31
Recurrent neural networks for dynamical systems: Applications to ordinary differential equations, collective motion, and hydrological modeling	31
Generalized weighted permutation entropy	31
Catalytic evolution of cooperation in a population with behavioral bimodality	30
Deep learning enhanced dynamic mode decomposition	30
Absence of pure voltage instabilities in the third-order model of power grid dynamics	30
Forecasting with an N-dimensional Langevin equation and a neural-ordinary differential equation	30
Invariant tori in dissipative hyperchaos	30
Quasi-objective eddy visualization from sparse drifter data	29
Deterministic modeling of the diffusive memristor	29
Reliable detection of directional couplings using cross-vector measures	29
Modeling language ideologies for the dynamics of languages in contact	29
Geometric invariance of determining and resonating centers: Odd- and any-number limitations of Pyragas control	29
Optimal time-varying coupling function can enhance synchronization in complex networks	29
Promoting synchrony of power grids by restructuring network topologies	28
Evolutionary dynamics of N-player sender-receiver game in networks with community structure	28
Impact of simplicial complexes on epidemic spreading in partially mapping activity-driven multiplex networks	27
Role reversal in a stage-structured prey–predator model with fear, delay, and carry-over effects	27
Non-parametric tests for serial dependence in time series based on asymptotic implementations of ordinal-pattern statistics	27
Impact of periodic vaccination in SEIRS seasonal model	27
Stochastic averaging for a type of fractional differential equations with multiplicative fractional Brownian motion	27
Asymmetrical dynamics of epidemic propagation and awareness diffusion in multiplex networks	27
Chimeras in globally coupled oscillators: A review	26
Symbolic regression via neural networks	26
Path-integral solution of MacArthur’s resource-competition model for large ecosystems with random species-resources couplings	26
Ordinal pattern transition networks in eye tracking reading signals	26
Statistical performance of local attractor dimension estimators in non-Axiom A dynamical systems	26
Koopman and Perron–Frobenius operators on reproducing kernel Banach spaces	25
First encounters on Watts–Strogatz networks and Barabási–Albert networks	25
Evolution of trust in N-player trust games with loss assessment	25
Unfolding the distribution of periodicity regions and diversity of chaotic attractors in the Chialvo neuron map	25
Complete synchronization of two spirals by a messenger wave in a reaction diffusion system	25
Universality and scaling in complex networks from periods of Chinese history	25
Fractional order-induced bifurcations in a delayed neural network with three neurons	25
Complexity of couplings in multivariate time series via ordinal persistent homology	24
The dynamics of a four-step feedback procedure to control chaos	24
Referee acknowledgment for 2021	24
Digital contact tracing on hypergraphs	24
Neural ODE to model and prognose thermoacoustic instability	24
Conditions of acceleration and deceleration of the cancer cell growth under osmotic pressure	24
Unconsciousness reconfigures modular brain network dynamics	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
Planetary influences on the solar cycle: A nonlinear dynamics approach	24
Inferring long memory using extreme events	24
A generic model for pandemics in networks of communities and the role of vaccination	23
Superconductivity coupling of harmonic resonant oscillators: Homogeneous and heterogeneous extreme multistability with multi-scrolls	23
Generalized network dismantling based on cost-aware source-sampling betweenness	23

Chaos–hyperchaos transition in three identical quorum-sensing mean-field coupled ring oscillators	23
Can the Doppler be useful for a benchmark analysis of the wave-like properties of memory-dependent telegraphers’ equation	23
Wavelet analysis for cyclic combustion dynamics of a multi-cylinder CRDI diesel engine fuelled with a blending of argemone biodiesel–diesel oil	23
Density evolution in stochastic dynamical systems with memory: A universal algorithm	23
An integrative dynamical perspective for graph theory and the analysis of complex networks	23
Mechanism of multistability in chaotic maps	23
Mixed-mode oscillations in a three-timescale coupled Morris–Lecar system	23
Control of seizure-like dynamics in neuronal populations with excitability adaptation related to ketogenic diet	22
Detection of Parkinson’s disease using nocturnal breathing signals based on multifractal detrended fluctuation analysis	22
A novel mechanism for ramping bursts based on slow negative feedback in model respiratory neurons	22
Stability analysis of multiplayer games on adaptive simplicial complexes	22
Instability of oscillations in the Rosenzweig–MacArthur model of one consumer and two resources	22
Linear vs nonlinear transport during chaotic advection in fluid flows	22
A nonlinear journey from structural phase transitions to quantum annealing	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
Chemotaxis-driven stationary and oscillatory patterns in a diffusive HIV-1 model with CTL immune response and general sensitivity	21
Epidemic dynamics with awareness cascade of positive and negative information on delayed multiplex networks	21
Analyzing the channels of information dissemination: Investigating abrupt transitions in resource investment	21
Synchronization, clustering, and weak chimeras in a densely coupled transcription-based oscillator model for split circadian rhythms	20
Tipping points, multistability, and stochasticity in a two-dimensional traffic network dynamics	20
Cover times with stochastic resetting	20
Hidden multi-scroll and coexisting self-excited attractors in optical injection semiconductor laser system: Its electronic control	20
Learning effective stochastic differential equations from microscopic simulations: Linking stochastic numerics to deep learning	20
Deep learning-based surrogate models for parametrized PDEs: Handling geometric variability through graph neural networks	20
Epidemic spreading under game-based self-quarantine behaviors: The different effects of local and global information	20
Machine-learning potential energy surfaces implications in photodissociation process	20
Characterization of time-dependence for dissipative solitons stabilized by nonlinear gradient terms: Periodic and quasiperiodic vs chaotic behavior	20
Characteristics of price related fluctuations in non-fungible token (NFT) market	20
Theoretical study and circuit implementation of three chain-coupled self-driven Duffing oscillators	20
Constraining chaos: Enforcing dynamical invariants in the training of reservoir computers	19
Strong and weak prediction of stochastic dynamics using reservoir computing	19
Dynamical classic limit: Dissipative vs conservative systems	19
A novel and effective method for characterizing time series correlations based on martingale difference correlation	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
Co-evolving networks for opinion and social dynamics in agent-based models	19
Motifs-based link prediction for heterogeneous multilayer networks	19
Deep Learning for chaos detection	19
Extreme transient dynamics	19
An optimization-based algorithm for obtaining an optimal synchronizable network after link addition or reduction	19
Hippocampus encoding memory engrams as stable heteroclinic network	18
Repulsive inter-layer coupling induces anti-phase synchronization	18
Erratum: “Variational inference of the drift function for stochastic differential equations driven by Lévy processes” [Chaos 32, 061103 (2022)]	18
Competitive interplay of repulsive coupling and cross-correlated noises in bistable systems	18
Stochastic approach for assessing the predictability of chaotic time series using reservoir computing	18
Synchronization and bifurcation in an economic model	18
Evolutionary dynamics in spatial public goods games with environmental feedbacks	18
Structural position vectors and symmetries in complex networks	18
A robust sparse identification method for nonlinear dynamic systems affected by non-stationary noise	18
Dynamics of predatory effect on saturated plant–pollinator mutualistic relationship	17
Drastic effects of an inert Pt wire on the redox behavior of the Belousov–Zhabotinsky reaction	17
Optimizing self-organized topology of recurrence-based complex networks	17
Interplay of unit-speed constraint and singular communication in the thermodynamic Cucker–Smale model	17
Controlling spiral wave dynamics of the BZ system in a modified Oregonator model: From suppression to turbulence	17
A comprehensive approach for discrete resilience of complex networks	17
Phase space partition with Koopman analysis	17
Rate-induced tracking for concave or d-concave transitions in a time-dependent environment with application in ecology	17
Identification of network interactions from time series data: An iterative approach	17
Phase-amplitude reduction and optimal phase locking of collectively oscillating networks	17
Variational inference of the drift function for stochastic differential equations driven by Lévy processes	17
Spatial evolution of cooperation with variable payoffs	17
Tempered linear and non-linear time series models and their application to heavy-tailed solar flare data	17
Dynamical noise can enhance high-order statistical structure in complex systems	17
Efficiency of communities and financial markets during the 2020 pandemic	16
Nowhere coexpanding functions	16
A dynamical study of Hilda asteroids in the Circular and Elliptic RTBP	16
A mathematical model of reward-mediated learning in drug addiction	16
CEBoosting: Online sparse identification of dynamical systems with regime switching by causation entropy boosting	16
Unraveling the importance of early awareness strategy on the dynamics of drug addiction using mathematical modeling approach	16
Transition pathways for a class of high dimensional stochastic dynamical systems with Lévy noise	16
Time-delayed and stochastic effects in a predator–prey model with ratio dependence and Holling type III functional response	16
Impulsive feedback control of birhythmicity: Theory and experiment	16
Higher-order interactions induce anomalous transitions to synchrony	16
Quantifying the potential of cascade outbreaks via early infected nodes using network percolation	16
Co-evolutionary dynamics for two adaptively coupled Theta neurons	16
Dispersion complexity–entropy curves: An effective method to characterize the structures of nonlinear time series	16
Contagion dynamics in time-varying metapopulation networks with node’s activity and attractiveness	16
Complex dynamics in adaptive phase oscillator networks	16
Stability analysis of synchronization in long-range temporal networks using theory of dichotomy	15

Ultra-low-energy defibrillation through adjoint optimization	15
Bistability in a tri-trophic food chain model: Basin stability perspective	15
Comparison of discretization strategies for the model-free information-theoretic assessment of short-term physiological interactions	15
Early warnings of tipping in a non-autonomous turbulent reactive flow system: Efficacy, reliability, and warning times	15
Interplay of noise induced stability and stochastic resetting	15
Guidelines for data-driven approaches to study transitions in multiscale systems: The case of Lyapunov vectors	15
Periodic motions with impact chatters in an impact Duffing oscillator	15
Qualitative changes in bifurcation structure for soft vs hard impact models of a vibro-impact energy harvester	15
Introduction to focus issue: In memory of Vadim S. Anishchenko: Statistical physics and nonlinear dynamics of complex systems	15
Improving time series prediction accuracy for the maxima of a flow by reconstructions using local cross sections	15
Eigenvector centrality in simplicial complexes of hypergraphs	15
Fractional SEIR model and data-driven predictions of COVID-19 dynamics of Omicron variant	15
Discriminating Gaussian processes via quadratic form statistics	15
General rogue waves and modulation instability of the generalized coupled nonlinear Schrödinger system in optical pulses	15
Numerical study of the transverse diffusion coefficient for a one component model of plasma	15
Realization of logic gates in bi-directionally coupled nonlinear oscillators	14
Phase switching phenomenon in a system of three coupled DC glow discharge plasmas	14
Effectiveness of phase synchronization in chaotic food chain model with refugia and Allee effects during seasonal fluctuations	14
Vaccination dilemma in the thermodynamic limit	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
Resilience of weighted networks with dynamical behavior against multi-node removal	14
Synchronization of non-identical systems by non-invasive mutual time-delayed feedback	14
Chimera states in multiplex networks: Chameleon-like across-layer synchronization	14
Phase transition in a kinetic mean-field game model of inertial self-propelled agents	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
Classification of cellular automata based on the Hamming distance	14
Exploring the role of diffusive coupling in spatiotemporal chaos	14
Non-negative matrix factorization for overlapping community detection in directed weighted networks with sparse constraints	14
Recurrence quantification analysis during a mental calculation task	14
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
Virial-like thermodynamic uncertainty relation in the tight-binding regime	13
Demand-driven spreading patterns of African swine fever in China	13
Lyapunov exponents of multi-state cellular automata	13
Distribution in the geometrically growing system and its evolution	13
Rao–Burbea centroids applied to the statistical characterization of time series and images through ordinal patterns	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
Predicting dynamic stability from static features in power grid models using machine learning	13
Effects of infection fatality ratio and social contact matrices on vaccine prioritization strategies	13
Cluster synchronization induced by manifold deformation	13
Mapping chaos: Bifurcation patterns and shrimp structures in the Ikeda map	13
Computational demonstrations of density wave of Cooper pairs and paired-electron liquid in the quarter-filled band—A brief review	13
Synchronization of nonlinearly coupled networks based on circle criterion	13
Leonid Shilnikov and mathematical theory of dynamical chaos	13
K-selective percolation: A simple model leading to a rich repertoire of phase transitions	13
Dimension reduction in higher-order contagious phenomena	13
Frenetic steering: Nonequilibrium-enabled navigation	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
Bifurcation analysis of multistability of synchronous states in the system of two delay-coupled oscillators	13
Replicator dynamics of public goods games with global exclusion	13
On the origin of chaotic attractors with two zero Lyapunov exponents in a system of five biharmonically coupled phase oscillators	13
Rijke tube: A nonlinear oscillator	13
Analytical predictions of stable and unstable firings to chaos in a Hindmarsh–Rose neuron system	13
A self-consistent analytical theory for rotator networks under stochastic forcing: Effects of intrinsic noise and common input	12
Power spectral estimate for discrete data	12
Linear response theory for renewable fluctuations in power grids with transmission losses	12
A new class of out-gap discrete solitons in binary waveguide arrays	12
Anticipating measure synchronization in coupled Hamiltonian systems with machine learning	12
Reservoir computing as digital twins for nonlinear dynamical systems	12
Synchronization transitions in phase oscillator populations with partial adaptive coupling	12
Inverse relationship between diffusion coefficient and mass for a free particle system: Approach by using maximum caliber principle and Monte Carlo simulations	12
Control and symmetry breaking aspects of a geomagnetic field inversion model	12
Coupled spreading between information and epidemics on multiplex networks with simplicial complexes	12
Stability of heteroclinic cycles in ring graphs	12
Interpersonal trust: Asymptotic analysis of a stochastic coordination game with multi-agent learning	12
Derivation and rogue waves of the fractional nonlinear Schrödinger equation for the Rossby waves	12
Rogue wave excitations and hybrid wave structures of the Heisenberg ferromagnet equation with time-dependent inhomogeneous bilinear interaction and spin-transfer torque	12
Accurate deep learning-based filtering for chaotic dynamics by identifying instabilities without an ensemble	12
Large-space and large-time asymptotic properties of vector rogon-soliton and soliton-like solutions for n-component NLS equations	12
Plasticity in networks of active chemical cells with pulse coupling	12
Double grazing bifurcation route in a quasiperiodically driven piecewise linear oscillator	12
Further stability criteria for singular Hopf bifurcation in planar predator–prey systems	12
Steering opinion dynamics through control of social networks	12
Simple cyclic memristive neural networks with coexisting attractors and large-scale amplitude control	12
A mechanical analog of Bohr’s atom based on de Broglie’s double-solution approach	12
Fractional-order quantum kicked top map and its discrete dynamic behaviors	12
Qualitative analysis of a Filippov wild-sterile mosquito population model with immigration	12
Multifractal dimension spectrum analysis for nuclear density distribution	12
Identification of the continuum field structure at multiple scale levels	12
Slow passage through a Hopf-like bifurcation in piecewise linear systems: Application to elliptic bursting	12
Linear simple cycle reservoirs at the edge of stability perform Fourier decomposition of the input driving signals	11
Synchronization enhancement subjected to adaptive blinking coupling	11
Lean blowout detection using topological data analysis	11
The role of solar heat in earthquake activity	11
Inferring kernel ϵ-machines: Discovering structure in complex systems	11
Amplitude response, Melnikov’s criteria, and chaos occurrence in a Duffing’s system subjected to an external periodic excitation with a variable shape	11
On generalized bidimensional ensemble permutation entropy	11
A reliable chaos-based cryptography using Galois field	11
Time crystals transforming frequency combs in tunable photonic oscillators	11
Robustness measurement of multiplex networks based on graph spectrum	11
Detecting disturbances in network-coupled dynamical systems with machine learning	11