Chaos

Article	Citations
Bistability of operating modes and their switching in a three-machine power grid	96
Existence of multiple noise-induced transitions in Lasota–Mackey maps	82
Quantum integrability and chaos in a periodic Toda lattice with balanced loss–gain	68
Irregular spots on body surfaces of vertebrates induced by supercritical pitchfork bifurcations	68
Data-driven stochastic model for cross-interacting processes with different time scales	51
Potential grouping of nodes induced by higher-order structures in complex networks	46
Chimeras on annuli	46
Multiscale adaptive multifractal analysis and its applications	46
Birds breathe at an aerodynamic resonance	44
Permutation group entropy: A new route to complexity for real-valued processes	43
Efficient termination of cardiac arrhythmias using optogenetic resonant feedback pacing	41
Enhancing predictive capabilities in data-driven dynamical modeling with automatic differentiation: Koopman and neural ODE approaches	38
Perspectives on adaptive dynamical systems	38
COVID-19 second wave mortality in Europe and the United States	37
Reliability and robustness of oscillations in some slow-fast chaotic systems	37
Dynamics study on the effect of memristive autapse distribution on Hopfield neural network	37
Kantorovich–Rubinstein distance and approximation for non-local Fokker–Planck equations	36
Controlled generation of self-sustained oscillations in complex artificial neural networks	35
Highly viscous fluid displaced by a chemically controlled reactive interface	35
Strange attractors in discrete slow power-law models of bone remodeling	33
Time-irreversibility test for random-length time series: The matching-time approach applied to DNA	33
Analysis of a class of two-delay fractional differential equation	32
Continuous ordinal patterns: Creating a bridge between ordinal analysis and deep learning	31
Time shifts to reduce the size of reservoir computers	30
STP-based control of networked evolutionary games with multi-channel structure	30

Earthquakes and entropy: Characterization of occurrence of earthquakes in southern Spain and Alboran Sea	29
Self-organization in computation and chemistry: Return to AlChemy	27
Generalized weighted permutation entropy	27
Link prediction of the world container shipping network: A network structure perspective	27
Asymmetrical dynamics of epidemic propagation and awareness diffusion in multiplex networks	26
Dynamical states and bifurcations in coupled thermoacoustic oscillators	26
Bifurcation analysis of a two-neuron central pattern generator model for both oscillatory and convergent neuronal activities	26
Cyclicity of slow–fast cycles with two canard mechanisms	25
Hidden data recovery using reservoir computing: Adaptive network model and experimental brain signals	25
Intermittent-like synchronization and desynchronization phenomena in a Colpitts network model	25
Classification of musical intervals by spiking neural networks: Perfect student in solfége classes	25
Early detection of lean blowout using recurrence network for varying degrees of premixedness	25
Transverse instability in nonparaxial systems with four-wave mixing	24
Global Mittag-Leffler stability and existence of the solution for fractional-order complex-valued NNs with asynchronous time delays	24
Asymmetry induces critical desynchronization of power grids	24
Data-driven control of oscillator networks with population-level measurement	24
The Sakaguchi–Kuramoto model in presence of asymmetric interactions that break phase-shift symmetry	23
Resilience of hybrid herbivore–plant–pollinator networks	23
Referee acknowledgment for 2022	23
Tipping in complex systems under fast variations of parameters	23
Lévy noise influences basin stability in a delayed vegetation-water dynamical system	23
Cyclonic and anticyclonic rotation in a cylinder cooled inhomogeneously on the top	23
Macro-analysis of climatic factors for COVID-19 pandemic based on Köppen–Geiger climate classification	23
Noise-induced stabilization of the FitzHugh–Nagumo neuron dynamics: Multistability and transient chaos	22
Recovering obstacles from their traveling times	22
Nonlinear Schrödinger waves in a disordered potential: Branched flow, spectrum diffusion, and rogue waves	22
Symmetric replicator dynamics with depletable resources	21
Logarithmic spiral solutions of the Kopell–Howard lambda–omega reaction–diffusion equations	21
Copula-based analysis of the generalized friendship paradox in clustered networks	21
Rational expectations and differentiated information costs for heterogeneous fundamentalists in an evolutive Muthian cobweb model	21
On the proper periodic Ricker model	21
Polygonal boundary gaps in multiple diffusion source precipitation systems in gel media	21
Electrical coupling of individual electrocatalytic oscillators	20
Excitation of mirror symmetry higher-order rational soliton in modulation stability regimes on continuous wave background	20
Wave-packet spreading in disordered soft architected structures	20
Bifurcations in rotating spherical shell convection under the influence of differential rotation	20
Periodic solutions of coupled Boussinesq equations and Ostrovsky-type models free from zero-mass contradiction	20
ABC-like flows on the 3-torus	20
Asymptotic behavior of the forecast–assimilation process with unstable dynamics	20
Direct statistical simulation of the Lorenz63 system	20
Cooperative evolution with opinion formation in a complex social environment	20
Understanding biological control with entomopathogenic fungi—Insights from a stochastic pest–pathogen model	20
Reaction extent or advancement of reaction: A definition for complex chemical reactions	20
Unexpected advantages of exploitation for target searches in complex networks	19
The hidden complexity of a double-scroll attractor: Analytic proofs from a piecewise-smooth system	19
Tristability in mitochondrial permeability transition pore opening	19
The transition to synchronization on branching hierarchical lattices	19
Random multi-player games	19
Nonlinear oscillations, chaotic dynamics, and stability analysis of bilayer graphene-like structures	19
Information-theoretic characterization of eye-tracking signals with relation to cognitive tasks	19

Lag and duration of leader–follower relationships in mixed traffic using causal inference	19
A new coding system to test independence of time series	19
Synchronizing network systems in the presence of limited resources via edge snapping	19
Different effects of external force fields on aging Lévy walk	19
Implementation of a triangular probabilistic distribution for optimal parametrization of the SEIR model recovery rates with delay	19
Modulation theory for pattern forming systems with a spatial 1:2-resonance	18
Path-integral solution of MacArthur’s resource-competition model for large ecosystems with random species-resources couplings	18
Hybrid nonlinear resonance in Hamiltonian systems	18
Effects of non-local competition on plankton–fish dynamics	18
Intrinsic electronic noise strength significantly alters a period doubling cascade to chaos	18
Framework for global stability analysis of dynamical systems	18
Formulation of stochastic contact Hamiltonian systems	18
Artificial radio lighting with sources of microwave dynamic chaos	18
A review of symbolic dynamics and symbolic reconstruction of dynamical systems	18
A modified Ricker map and its bursting oscillations	18
Equilibrium and symmetries of altitudinal magnetic rotors on a circle	18
A flexible data-driven cyclostationary model for the probability density of El Niño–Southern Oscillation	18
Synchronization in a multilevel network using the Hamilton–Jacobi–Bellman (HJB) technique	18
An improved cell mapping method based on dimension-extension for fractional systems	18
Most probable escape paths in periodically driven nonlinear oscillators	18
Improving robustness in interdependent networks under intentional attacks by optimizing intra-link allocation	17
Non-Markovian processes on heteroclinic networks	17
Correlations between COVID-19 cases and temperature, air humidity, and social isolating rate with cross wavelet transform and wavelet coherence: Case study of New York and São Paulo cities	17
Transient circulant clusters in two-population network of Kuramoto oscillators with different rules of coupling adaptation	17
Pathwise synchronization of global coupled system with linear multiplicative rough noise	17
Learning of discrete models of variational PDEs from data	17
A few-shot identification method for stochastic dynamical systems based on residual multipeaks adaptive sampling	17
Multiple stochastic and inverse stochastic resonances with transition phenomena in complex corporate financial systems	17
Peregrine solitons and resonant radiation in cubic and quadratic media	17
Stabilization of hydrogen-bonded molecular chains by carbon nanotubes	17
Predicting climatic tipping points	17
Controlling pulse stability in singularly perturbed reaction-diffusion systems	17
On the alternating target tracking of a point cloud on Riemannian manifolds	17
On epidemic spreading in metapopulation networks with time-varying contact patterns	16
Nonlinear complexification of periodic orbits in the generalized Landau scenario	16
Selective properties of diffusive couplings and their influence on spatiotemporal chaos	16
Dynamical stability indicator based on autoregressive moving-average models: Critical transitions and the Atlantic meridional overturning circulation	16
Contributions to surface air temperature trends estimated from climate time series: Medium-term causalities	16
Bifurcations of degenerate homoclinic solutions in discontinuous systems under non-autonomous perturbations	16
Forecasting with an N-dimensional Langevin equation and a neural-ordinary differential equation	16
Sufficient condition for reliable logic operations in an over damped bistable system driven by Gaussian white noise	16
Ordinal pattern transition networks in eye tracking reading signals	16
Multiplexing-based control of stochastic resonance	16
Chaos in gene regulatory networks: Effects of time delays and interaction structure	16
How can we describe density evolution under delayed dynamics?	16
Data-driven identification of dynamical models using adaptive parameter sets	16
Co-evolution of heterogeneous cognition in spatial snowdrift game with asymmetric cost	16
Induced synchronization by endogenous noise modulation in finite-size random neural networks: A stochastic mean-field study	16
Fractal contours: Order, chaos, and art	16
Dynamics of a stage-structured predator–prey system with fear-induced group defense in autonomous and nonautonomous settings	16
Phase holonomy underlies puzzling temporal patterns in Kuramoto models with two sub-populations	15
A bottom-up approach for recurrence detection based on sampling distance	15
Appearance of chaos and hyperchaos in evolving pendulum network	15
GPU-based, interactive exploration of large spatiotemporal climate networks	15
Chimeras and traveling waves in ensembles of Kuramoto oscillators off the Poisson manifold	15
Spectroscopy of phase transitions for multiagent systems	15
Collective dynamics of nonlocally coupled Hindmarsh–Rose neurons modified by magnetic flux	15
Space-dependent intermittent feedback can control birhythmicity	15
Extreme events and extreme multistability in a nearly conservative system	15
Optimal time-varying coupling function can enhance synchronization in complex networks	15
Time-dependent personalized PageRank for temporal networks: Discrete and continuous scales	15
Exploring inbreeding dynamics by considering reproductive bound and polygyny	15
Noise-induced chaos: A conditioned random dynamics perspective	14
Opinion dynamics on biased dynamical networks: Beyond rare opinion updating	14
Extended mean-field approach for chimera states in random complex networks	14
A global bifurcation organizing rhythmic activity in a coupled network	14
Hamiltonian neural networks with automatic symmetry detection	14
Assessing time series irreversibility through micro-scale trends	14
A tighter generalization bound for reservoir computing	14
Transient modes for the coupled modified Korteweg–de Vries equations with negative cubic nonlinearity: Stability and applications of breathers	14
Bifurcations, chaos, and multistability in a nonautonomous predator–prey model with fear	14
Attractor radius for fractional Lorenz systems and their application to the quantification of predictability limits	14
Dual-domain analysis of gun violence incidents in the United States	14
Stable chimera states: A geometric singular perturbation approach	14
Invariant tori in dissipative hyperchaos	14
Unfolding the distribution of periodicity regions and diversity of chaotic attractors in the Chialvo neuron map	14
Surprising features of the energy-mismatched nonlinear dimer	14
Fractional averaging theory for discrete fractional-order system with impulses	14
Memory-based parameterization with differentiable solver: Application to Lorenz ’96	14
Symmetry breaking yields chimeras in two small populations of Kuramoto-type oscillators	13

Curry–Yorke route to shearless attractors and coexistence of attractors in dissipative nontwist systems	13
Square waves and Bykov T-points in a delay algebraic model for the Kerr–Gires–Tournois interferometer	13
Increasing model vertical resolution may not necessarily lead to improved atmospheric predictability	13
On the number of limit cycles for a perturbed cubic reversible Hamiltonian system	13
Stochastic averaging for a type of fractional differential equations with multiplicative fractional Brownian motion	13
Locating saddle points using gradient extremals on manifolds adaptively revealed as point clouds	13
Research on portfolio optimization under asymmetric power-law distribution of return tail	13
On heterogeneous diffusion processes and the formation of spatial–temporal nonlocality	13
Tapping strength variability in sensorimotor experiments on rhythmic tapping	13
Multimodality in systems driven by Ornstein–Uhlenbeck noise	13
The effect of demographic stochasticity on Zika virus transmission dynamics: Probability of disease extinction, sensitivity analysis, and mean first passage time	13
Higher-order link prediction via local information	13
The causality measure of partial mutual information from mixed embedding (PMIME) revisited	13
Percolation-intercropping strategies to prevent dissemination of phytopathogens on plantations	13
Adaptive exponential integrate-and-fire model with fractal extension	13
The topological characteristics of the bifurcation and chaos in the motion of combustion fronts in solids	13
Mathematical modeling of the Chilean riots of 2019: An epidemiological non-local approach	13
Causal interaction in high frequency turbulence at the biosphere–atmosphere interface: Structure–function coupling	13
Unpredictable tunneling in a retarded bistable potential	12
Seeing double with a multifunctional reservoir computer	12
Birth of strange nonchaotic attractors in a piecewise linear oscillator	12
Wave-packet behaviors of the defocusing nonlinear Schrödinger equation based on the modified physics-informed neural networks	12
Simulations suggest that navigation software may not be as efficient as expected for city traffic	12
On the interpretation of Dirac δ pulses in differential equations for phase oscillators	12
The impact of inner-coupling and time delay on synchronization: From single-layer network to hypernetwork	12
Modeling synchronization in globally coupled oscillatory systems using model order reduction	12
Correlation between the formation of new competing group and spatial scale for biodiversity in the evolutionary dynamics of cyclic competition	12
Two-step seeding strategy in multiplex networks with inter-layer conversion cost of influence	12
Geometry unites synchrony, chimeras, and waves in nonlinear oscillator networks	12
A memory-based approach to model glorious uncertainties of love	12
Chimeras in globally coupled oscillators: A review	12
Hard vs soft impacts in oscillatory systems' modeling revisited	12
Noise-induced switching in an oscillator with pulse delayed feedback: A discrete stochastic modeling approach	12
Patterns and correlations in European electricity prices	12
Sequential seeding in multilayer networks	12
Geometric invariance of determining and resonating centers: Odd- and any-number limitations of Pyragas control	12
Machine learning enhanced Hankel dynamic-mode decomposition	12
Symbolic dynamics of music from Europe and Japan	12
Stochastic dynamics and first passage analysis of iced transmission lines via path integration method	12
How heterogeneity in connections and cycles matter for synchronization of complex networks	12
The relationship between clustering and networked Turing patterns	12
Inertial motion on the earth’s spheroidal surface	12
Analysis of chaos and capsizing of a class of nonlinear ship rolling systems under excitation of random waves	12
Winners of 2022 Edward Norton Lorenz Early Career Awards	12
Network approach reveals the spatiotemporal influence of traffic on air pollution under COVID-19	12
ordpy: A Python package for data analysis with permutation entropy and ordinal network methods	12
Allocation of hospital beds on the emergence of new infectious disease: A mathematical model	12
Enhanced logical chaotic resonance	11
Ordinal pattern-based complexity analysis of high-dimensional chaotic time series	11
Melnikov-type method for a class of planar hybrid piecewise-smooth systems with impulsive effect and noise excitation: Heteroclinic orbits	11
The 16th Hilbert problem for discontinuous piecewise isochronous centers of degree one or two separated by a straight line	11
Filter bubble effect in the multistate voter model	11
The combination of social reward and punishment is conducive to the cooperation and heterogeneity of social relations	11
Image recognition based on optical reservoir computing	11
Sparse identification of nonlinear dynamical systems via non-convex penalty least squares	11
Symmetry kills the square in a multifunctional reservoir computer	11
Quantifying fluctuations for dynamical power systems with stochastic excitations: A power spectral density-based method	11
Greenhouse gas emissions: A rapid submerge of the world	11
Cooperation dynamics in collective risk games with endogenous endowments	11
Levitons in correlated nano-scale systems	11
Nonlinear comparative analysis of Greenland and Antarctica ice cores data	11
The effect of multi-tasks mechanism on cooperation in evolutionary game	11
Deterministic modeling of the diffusive memristor	11
Optimization with delay-induced bifurcations	11
Delay-driven phase transitions in an epidemic model on time-varying networks	11
A criterion for mixed dynamics in two-dimensional reversible maps	11
Synchronization of quasiperiodic oscillations in nearly Hamiltonian systems: The degenerate case	11
Motion states identification of underwater glider based on complex networks and graph convolutional networks	11
An ensemble multi-scale framework for long-term forecasting of air quality	11
Stochastic transformations of multi-rhythmic dynamics and order–chaos transitions in a discrete 2D model	11
Modeling language ideologies for the dynamics of languages in contact	11
Birhythmicity, intrinsic entrainment, and minimal chimeras in an electrochemical experiment	11
Entropy and hierarchical clustering: Characterizing the morphology of the urban fabric in different spatial cultures	11
Rigorous numerical study of the Colpitts oscillator with an exponential nonlinearity	11
Machine learning approach to the Floquet–Lindbladian problem	11
Introduction to Focus Issue: Dynamical disease: A translational approach	11
Dynamics of a single-phase natural circulation system under harmonic excitation	11
Strong symmetry breaking rhythms created by folded nodes in a pair of symmetrically coupled, identical Koper oscillators	11
Scientometric analysis of the Chaos journal (1991–2019): From descriptive statistics to complex networks viewpoints	11
Symbolic regression via neural networks	10
Piecewise integrable neural network: An interpretable chaos identification framework	10
Machine learning approach to detect dynamical states from recurrence measures	10
Kuramoto model for populations of quadratic integrate-and-fire neurons with chemical and electrical coupling	10
Dynamical behavior of a nonlocal Fokker–Planck equation for a stochastic system with tempered stable noise	10
Mitigating epidemic spread in complex networks based on deep reinforcement learning	10
Game dynamics of emotion evolution based on the Moran process	10
Adaptive integral alternating minimization method for robust learning of nonlinear dynamical systems from highly corrupted data	10
Analysis of magnetohydrodynamic channel flow through complex network analysis	10
Rogue waves for the fourth-order nonlinear Schrödinger equation on the periodic background	10
A non-autonomous framework for climate change and extreme weather events increase in a stochastic energy balance model	10
Measuring the importance of individual units in producing the collective behavior of a complex network	10
Particle transport in open polygonal billiards: A scattering map	10
Exact finite-size scaling for the random-matrix representation of bond percolation on square lattice	10
How local antipredator response unbalances the rock-paper-scissors model	10
Linear interference of nonlinear waves—Multispeed vector solitons	10