Chaos

Article	Citations
Invariant tori in dissipative hyperchaos	120
A bottom-up approach for recurrence detection based on sampling distance	101
Modulational instability, generation, and evolution of rogue waves in the generalized fractional nonlinear Schrödinger equations with power-law nonlinearity and rational potentials	79
Reliable detection of directional couplings using cross-vector measures	72
Dynamical analysis and solutions of coupled 4D fractional differential systems with applications to predictability limit quantification in ocean-atmosphere models	69
Locating saddle points using gradient extremals on manifolds adaptively revealed as point clouds	69
Research on portfolio optimization under asymmetric power-law distribution of return tail	68
Synchronizing network systems in the presence of limited resources via edge snapping	60
Forecasting with an N-dimensional Langevin equation and a neural-ordinary differential equation	57
Nonautonomous scalar concave–convex differential equations: Conditions for uniform stability or bistability in a model of optical fluorescence	55
An algorithm for simplified recurrence analysis	52
ZEUS: Numerical methods to detect quasi-particles describing excitable media	52
Ordinal pattern transition networks in eye tracking reading signals	51
Evolutionary dynamics of N-player sender-receiver game in networks with community structure	49
Promoting synchrony of power grids by restructuring network topologies	48
Data-driven control of oscillator networks with population-level measurement	47
Statistical performance of local attractor dimension estimators in non-Axiom A dynamical systems	47
Motion states identification of underwater glider based on complex networks and graph convolutional networks	45
Hierarchical formation of multicluster and chimera states in a network of phase oscillators with high-order adaptive couplings	45
Permutation group entropy: A new route to complexity for real-valued processes	45
A simulation-supported thought experiment for measuring low-dimensional chaotic systems subjected to parameter drift	45
Optimal time-varying coupling function can enhance synchronization in complex networks	44
Quantum chaos in non-Markovian open quantum systems: Interferometric OTOC, Loschmidt echo, and commutator operator norm	44
Dynamic topology and percolation criticality in higher-order activity–vulnerability driven networks	43
Impact of periodic vaccination in SEIRS seasonal model	42

Role reversal in a stage-structured prey–predator model with fear, delay, and carry-over effects	41
Quantum integrability and chaos in a periodic Toda lattice with balanced loss–gain	41
Climate network reveals cross-seasonal teleconnections between heatwaves and cold waves	41
Asymptotic theory of not completely integrable soliton equations	40
Scaling properties of A + B → C reaction–diffusion fronts in finite rectilinear geometries	40
Unfolding the distribution of periodicity regions and diversity of chaotic attractors in the Chialvo neuron map	40
Hydrodynamic modulation instability triggered by a two-wave system	40
A new conceptual disease triangle DST framework for balancing two extremes: Disease eradication and species extinction	40
Lévy noise influences basin stability in a delayed vegetation-water dynamical system	39
Quantifying the nonlinear complexity of optical time-delayed chaotic systems based on reservoir computing	39
Modeling language ideologies for the dynamics of languages in contact	38
Decision-making under negativity bias: Double hysteresis in the opinion-dependent q -voter model	38
Energy-induced chimera-like states in bilayer memristive FitzHugh–Nagumo neural networks	37
Metastable dynamical computing with energy landscapes: A primer	36
Recurrent neural networks for dynamical systems: Applications to ordinary differential equations, collective motion, and hydrological modeling	35
Exploration of soliton solutions and chaos analysis in thin-film ferroelectric materials	35
Catalytic evolution of cooperation in a population with behavioral bimodality	35
On the efficiency of pairwise Hamiltonian control to desynchronize the higher-order Kuramoto model	35
A pressure-free long-time stable reduced-order model for two-dimensional Rayleigh–Bénard convection	35
Predicting multistability of parameterized time-delay dynamical systems using reservoir computing	35
Exploring mechanisms for reversal of flow in tunicate hearts	34
Data-driven modeling of traffic flow in macroscopic network systems	34
Mathematical modeling of the Chilean riots of 2019: An epidemiological non-local approach	34
Symbolic regression via neural networks	34
A Lorenz-like system with an inversion symmetry: Topology of some of its attractors	33
Non-parametric tests for serial dependence in time series based on asymptotic implementations of ordinal-pattern statistics	33
Short-term plasticity promotes synchronization of coupled chaotic oscillators in excitatory–inhibitory networks	32
Quantifying fluctuations for dynamical power systems with stochastic excitations: A power spectral density-based method	32
Adaptive integral alternating minimization method for robust learning of nonlinear dynamical systems from highly corrupted data	31
Chimeras in globally coupled oscillators: A review	31
Adaptive conformity promotes cooperation within structured populations	31
Quasi-objective eddy visualization from sparse drifter data	31
Stochastic averaging for a type of fractional differential equations with multiplicative fractional Brownian motion	31
Impact of simplicial complexes on epidemic spreading in partially mapping activity-driven multiplex networks	30
Post-disaster resource redistribution and cooperation evolution based on two-layer network evolutionary games	30
The nonlinear Fokker–Planck equation with nongradient drift forces and an anisotropic potential	30
Generalized weighted permutation entropy	30
Analytical foundation for adversarial synchronization control in oscillator networks	30
Memory-based parameterization with differentiable solver: Application to Lorenz ’96	30
Universality and scaling in complex networks from periods of Chinese history	29
Characterization of time-dependence for dissipative solitons stabilized by nonlinear gradient terms: Periodic and quasiperiodic vs chaotic behavior	29
Density evolution in stochastic dynamical systems with memory: A universal algorithm	28
Noise-induced transitions in random Pomeau–Manneville maps	28
Generalized network dismantling based on cost-aware source-sampling betweenness	28
Analyzing the channels of information dissemination: Investigating abrupt transitions in resource investment	28
First encounters on Watts–Strogatz networks and Barabási–Albert networks	28
A nonlinear journey from structural phase transitions to quantum annealing	28
Bifurcations and intermittency in coupled dissipative kicked rotors	27
Explosive adoption of corrupt behaviors in social systems with higher-order interactions	27
Control of chimera states via adaptive higher-order interactions	27

Discovering the dynamics of Sargassum rafts’ centers of mass	27
Koopman and Perron–Frobenius operators on reproducing kernel Banach spaces	27
A novel mechanism for ramping bursts based on slow negative feedback in model respiratory neurons	27
Mixed-mode oscillations in a three-timescale coupled Morris–Lecar system	27
An analysis framework for Turing instability on multigraph networks from the perspective of optimization	26
Neural ordinary differential equations for learning and extrapolating system dynamics across bifurcations	26
Conditions of acceleration and deceleration of the cancer cell growth under osmotic pressure	26
Multiscale dynamics of epidemic–information coupling model on duplex networks: Role of environmental transmission	26
Structure–function coupling reveals the excitation–inhibition imbalance in autism spectrum disorder: A perspective from large-scale whole-brain network modeling	25
Evolution of trust in N-player trust games with loss assessment	25
Tipping points, multistability, and stochasticity in a two-dimensional traffic network dynamics	25
Hidden multi-scroll and coexisting self-excited attractors in optical injection semiconductor laser system: Its electronic control	25
Can the Doppler be useful for a benchmark analysis of the wave-like properties of memory-dependent telegraphers’ equation	25
Control of seizure-like dynamics in neuronal populations with excitability adaptation related to ketogenic diet	25
Graph neural network for prediction of phase-ordering kinetics	25
Detection of Parkinson’s disease using nocturnal breathing signals based on multifractal detrended fluctuation analysis	25
Hierarchical clustering in mean-field coupled Stuart–Landau oscillators	24
Instability of oscillations in the Rosenzweig–MacArthur model of one consumer and two resources	24
Complete synchronization of two spirals by a messenger wave in a reaction diffusion system	24
Linear vs nonlinear transport during chaotic advection in fluid flows	24
Complexity of couplings in multivariate time series via ordinal persistent homology	24
Fractional order-induced bifurcations in a delayed neural network with three neurons	24
Jacobian-determinant vector method of identifying filaments in a three-dimensional medium	24
Machine-learning potential energy surfaces implications in photodissociation process	23
A multiscale symbolic approach to decoding delta and ripple oscillation bands as biomarkers for epileptiform discharges	23
Digital contact tracing on hypergraphs	23
Characteristics of price related fluctuations in non-fungible token (NFT) market	23
Superconductivity coupling of harmonic resonant oscillators: Homogeneous and heterogeneous extreme multistability with multi-scrolls	23
A data-driven framework for Koopman semigroup estimation in stochastic dynamical systems	23
Learning effective stochastic differential equations from microscopic simulations: Linking stochastic numerics to deep learning	23
Planetary influences on the solar cycle: A nonlinear dynamics approach	23
Thermal rectifiers based on asymmetric van der Waals heteronanotubes	23
Chemotaxis-driven stationary and oscillatory patterns in a diffusive HIV-1 model with CTL immune response and general sensitivity	22
An integrative dynamical perspective for graph theory and the analysis of complex networks	22
Synchronization, clustering, and weak chimeras in a densely coupled transcription-based oscillator model for split circadian rhythms	22
Early warning signals for primary and secondary bifurcation to oscillatory instabilities	22
Deep learning-based surrogate models for parametrized PDEs: Handling geometric variability through graph neural networks	22
Epidemic dynamics with awareness cascade of positive and negative information on delayed multiplex networks	22
Mechanism of multistability in chaotic maps	22
An optimization-based algorithm for obtaining an optimal synchronizable network after link addition or reduction	21
The role of inhibitory neuronal variability in modulating phase diversity between coupled networks	21
A novel and effective method for characterizing time series correlations based on martingale difference correlation	21
Optimizing self-organized topology of recurrence-based complex networks	21
Higher-order interactions induce anomalous transitions to synchrony	21
Low-dimensional multiscale dynamics of intermittent reversals in turbulent Rayleigh–Bénard convection	21
Nowhere coexpanding functions	21
Complex dynamics in adaptive phase oscillator networks	21
Deep Learning for chaos detection	21
Erratum: “Variational inference of the drift function for stochastic differential equations driven by Lévy processes” [Chaos 32, 061103 (2022)]	21
Structural position vectors and symmetries in complex networks	21
Emergent dynamics in heterogeneous pulsatile swarmalators	21
Comparison of discretization strategies for the model-free information-theoretic assessment of short-term physiological interactions	21
Co-evolving networks for opinion and social dynamics in agent-based models	20
Contagion dynamics in time-varying metapopulation networks with node’s activity and attractiveness	20
Ultra-low-energy defibrillation through adjoint optimization	20
Qualitative changes in bifurcation structure for soft vs hard impact models of a vibro-impact energy harvester	20
Guidelines for data-driven approaches to study transitions in multiscale systems: The case of Lyapunov vectors	20
Dynamical noise can enhance high-order statistical structure in complex systems	20
Controlling spiral wave dynamics of the BZ system in a modified Oregonator model: From suppression to turbulence	20
A comprehensive approach for discrete resilience of complex networks	20
Predicting collective states of a star network using reservoir computing	20
Phase-amplitude reduction and optimal phase locking of collectively oscillating networks	19
Machine learning additive corrections in a gray-box model for air temperature in the Southwest Amazon rainforest: Dry and wet season analysis	19
Unraveling the importance of early awareness strategy on the dynamics of drug addiction using mathematical modeling approach	19
Epidemic spreading under game-based self-quarantine behaviors: The different effects of local and global information	19
Ice clouds as nonlinear oscillators	19
Quantifying the potential of cascade outbreaks via early infected nodes using network percolation	19
Dynamical classic limit: Dissipative vs conservative systems	19
A dynamical study of Hilda asteroids in the Circular and Elliptic RTBP	19
Exact finite-dimensional reduction for a population of noisy oscillators and its link to Ott–Antonsen and Watanabe–Strogatz theories	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
Extreme transient dynamics	19
Tracking control of complex dynamical networks via reservoir computing	19
Identification of network interactions from time series data: An iterative approach	19
Heterogeneous Cattaneo–Vernotte equation connection to the noisy voter model	18
Dispersion complexity–entropy curves: An effective method to characterize the structures of nonlinear time series	18
A robust sparse identification method for nonlinear dynamic systems affected by non-stationary noise	18
Hybrid deterministic–stochastic modeling of epidemic spread: Analytical insights and numerical evidence from an Ornstein–Uhlenbeck SEIR framework	18
Rate-induced tracking for concave or d-concave transitions in a time-dependent environment with application in ecology	18

Evolutionary dynamics in spatial public goods games with environmental feedbacks	18
Membrane-potential-dependent plasticity learning for theta-neuron network	18
Theoretical study and circuit implementation of three chain-coupled self-driven Duffing oscillators	18
Introduction to the Focus Issue: Nonautonomous dynamics in the climate sciences	18
Aubry’s impacts on mathematics	18
Interplay of unit-speed constraint and singular communication in the thermodynamic Cucker–Smale model	18
Motifs-based link prediction for heterogeneous multilayer networks	18
Templex for Lagrangian dynamics in the Southwestern Atlantic	18
Dynamics of a nonlinear resistor-coupled memristive neuron with double membrane	17
Dynamics of predatory effect on saturated plant–pollinator mutualistic relationship	17
The impact of feedbacks on evolutionary game dynamics in structured populations	17
A universal route from avalanches in mean-field models with random fields to stochastic Poisson branching events	17
Stochastic modeling and analysis of the mutual influence between respiratory diseases and air quality	17
Robust and efficient communication in multi-agent reinforcement learning	17
Cover times with stochastic resetting	17
Co-evolutionary dynamics for two adaptively coupled Theta neurons	17
Strong and weak prediction of stochastic dynamics using reservoir computing	17
Impact of weak generalized synchronization on time series forecasting using reservoir computers	17
CEBoosting: Online sparse identification of dynamical systems with regime switching by causation entropy boosting	17
Amplitude enhancements through rewiring of a non-autonomous delay system	17
Virial-like thermodynamic uncertainty relation in the tight-binding regime	17
Reputation-based nonlinear investment promotes cooperation in networked N-player trust games	17
Gap junction architecture and synchronization clusters in the thalamic reticular nuclei	17
Collisions and fusion of one- and two-dimensional solitons driven by potential troughs in the cubic–quintic nonlinear Schrödinger equations	17
Study of regular convective, chaotic, and periodic motions in Rayleigh–Bénard convection of water with maximum density effect	17
Constraining chaos: Enforcing dynamical invariants in the training of reservoir computers	17
Slow passage through a saddle-node bifurcation in discrete dynamical systems	17
Fractional-order quantum kicked top map and its discrete dynamic behaviors	17
Synchronization and bifurcation in an economic model	17
Periodic motions with impact chatters in an impact Duffing oscillator	17
Realization of logic gates in bi-directionally coupled nonlinear oscillators	16
Phase switching phenomenon in a system of three coupled DC glow discharge plasmas	16
Synchronization of non-identical systems by non-invasive mutual time-delayed feedback	16
Analytical predictions of stable and unstable firings to chaos in a Hindmarsh–Rose neuron system	16
Further stability criteria for singular Hopf bifurcation in planar predator–prey systems	16
Distribution in the geometrically growing system and its evolution	16
Rao–Burbea centroids applied to the statistical characterization of time series and images through ordinal patterns	16
Cluster synchronization induced by manifold deformation	16
Simple cyclic memristive neural networks with coexisting attractors and large-scale amplitude control	16
On the origin of chaotic attractors with two zero Lyapunov exponents in a system of five biharmonically coupled phase oscillators	16
Computational demonstrations of density wave of Cooper pairs and paired-electron liquid in the quarter-filled band—A brief review	16
Exploring the role of diffusive coupling in spatiotemporal chaos	16
A novel analytical tool for complex propagation processes in networks: High-order dynamic equation	16
Phase transition in a kinetic mean-field game model of inertial self-propelled agents	16
Rogue wave excitations and hybrid wave structures of the Heisenberg ferromagnet equation with time-dependent inhomogeneous bilinear interaction and spin-transfer torque	15
Power spectral estimate for discrete data	15
Stability analysis of synchronization in long-range temporal networks using theory of dichotomy	15
Recurrence quantification analysis during a mental calculation task	15
Eigenvector centrality in simplicial complexes of hypergraphs	15
Micro-macro consistency in multiscale modeling: Score-based model assisted sampling of fast/slow dynamical systems	15
Mirroring of synchronization in a bi-layer master–slave configuration of Kuramoto oscillators	15
Effects of infection fatality ratio and social contact matrices on vaccine prioritization strategies	15
Time-reversal, tori families,\query{Q1} and canards in the Sprott A and NE9 systems	15
Steering opinion dynamics through control of social networks	15
Slow passage through a Hopf-like bifurcation in piecewise linear systems: Application to elliptic bursting	15
Adaptive normalizing flows for solving Fokker–Planck equation	15
Dimension reduction in higher-order contagious phenomena	15
The negative information–epidemic coupling model based on individual emotional responses in multiplex network	15
Effectiveness of phase synchronization in chaotic food chain model with refugia and Allee effects during seasonal fluctuations	15
Extending the droplet-wave statistical correspondence in walking droplet dynamics	15
Non-negative matrix factorization for overlapping community detection in directed weighted networks with sparse constraints	15
Interpersonal trust: Asymptotic analysis of a stochastic coordination game with multi-agent learning	15
Adaptive myelination causes slow oscillations in recurrent neural loops	15
Predicting dynamic stability from static features in power grid models using machine learning	15
Lyapunov exponents of multi-state cellular automata	15
Detecting deterministic chaos in a high-complexity fire model	15
Vaccination dilemma in the thermodynamic limit	15
Chaos, dynamic trapping, and transport of swimming microbes in a vortex chain flow	15
Linear response theory for renewable fluctuations in power grids with transmission losses	15
Chimera states in multiplex networks: Chameleon-like across-layer synchronization	15
Accurate deep learning-based filtering for chaotic dynamics by identifying instabilities without an ensemble	15
Intermittent synchronization in non-weakly coupled piecewise-linear expanding map lattice: A geometric-combinatorial approach	15
Recurrent chaotic clustering and slow chaos in adaptive networks	15
Resilience of weighted networks with dynamical behavior against multi-node removal	15
Anticipating measure synchronization in coupled Hamiltonian systems with machine learning	15
Neural network approximation of optimal controls for stochastic reaction–diffusion equations	14
Curvature-dependent onset of oscillations in excitable tissue	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
Derivation and rogue waves of the fractional nonlinear Schrödinger equation for the Rossby waves	14
Reservoir computing as digital twins for nonlinear dynamical systems	14
Frenetic steering: Nonequilibrium-enabled navigation	14
Arnold diffusion for an a priori unstable Hamiltonian system with 3 + 1/2 degrees of freedom	14
Identification of the continuum field structure at multiple scale levels	14
Statistical inference for unreliable grading using the maximum entropy principle	14
Mapping chaos: Bifurcation patterns and shrimp structures in the Ikeda map	14
General rogue waves and modulation instability of the generalized coupled nonlinear Schrödinger system in optical pulses	14
Qualitative analysis of a Filippov wild-sterile mosquito population model with immigration	14
Impacts of memory-based and non-memory-based adoption in social contagion	14
Identification of critical points in transient electroconvection dynamics using tensor bundles	14
System dynamics monitoring using PIC micro-controller-based PLSE	14
Control and symmetry breaking aspects of a geomagnetic field inversion model	14
Classification of cellular automata based on the Hamming distance	14
On a stable torus in a 3D system with a saddle-focus	14