Chaos

Article	Citations
Analysis of a class of two-delay fractional differential equation	107
Noise-shaped hysteresis cycles of the AMOC under increasing CO2 forcing	90
Forecasting with an N-dimensional Langevin equation and a neural-ordinary differential equation	75
Optimal control of the reaction–diffusion process on directed networks	56
Contributions to surface air temperature trends estimated from climate time series: Medium-term causalities	53
Optimal time-varying coupling function can enhance synchronization in complex networks	52
Patterns and correlations in European electricity prices	50
Entropy and hierarchical clustering: Characterizing the morphology of the urban fabric in different spatial cultures	47
Ordered intricacy of Shilnikov saddle-focus homoclinics in symmetric systems	46
Noise-induced switching in an oscillator with pulse delayed feedback: A discrete stochastic modeling approach	46
Analysis of chaos and capsizing of a class of nonlinear ship rolling systems under excitation of random waves	44
Exploring complex dynamics in a Ricker type predator–prey model with prey refuge	43
Multiplexing-based control of stochastic resonance	43
Complex dynamics in chain HNN with parameter-relied equilibria and memristive electromagnetic induction	40
Nonsmooth folds as tipping points	40
From homophily to exclusion in small social systems	38
Rigorous numerical study of the density of periodic windows for the logistic map	38
Erratum: “Chaotic dynamics of graphene and graphene nanoribbons” [Chaos 30, 063150 (2020)]	37
Fractional Brownian motion with random Hurst exponent: Accelerating diffusion and persistence transitions	36
Geometry unites synchrony, chimeras, and waves in nonlinear oscillator networks	35
Spatiotemporal characteristics in systems of diffusively coupled excitable slow–fast FitzHugh–Rinzel dynamical neurons	35
Ordinal pattern-based complexity analysis of high-dimensional chaotic time series	34
Exact reduction of synchronized systems in higher-dimensional spaces	33
Adaptive exponential integrate-and-fire model with fractal extension	33
Rate-induced biosphere collapse in the Daisyworld model	32

Riemann–Liouville fractional Brownian motion with random Hurst exponent	32
Replicator dynamics with feedback-evolving games in heterogeneous populations	32
Random walks on scale-free flowers with stochastic resetting	31
Reliable detection of directional couplings using cross-vector measures	31
Machine learning approach to detect dynamical states from recurrence measures	30
Metastability of multi-population Kuramoto–Sakaguchi oscillators	30
Mechanisms for bump state localization in two-dimensional networks of leaky integrate-and-fire neurons	30
Generalizing geometric partition entropy for the estimation of mutual information in the presence of informative outliers	29
Quantum integrability and chaos in a periodic Toda lattice with balanced loss–gain	29
Exploration of soliton solutions and chaos analysis in thin-film ferroelectric materials	29
Erratum: “Extreme synchronization events in a Kuramoto model: The interplay between resource constraints and explosive transitions” [Chaos 31, 063103 (2021)]	29
Enhancing sparse identification of nonlinear dynamics with Earth-Mover distance and group similarity	29
Dynamics analysis of helical gear considering de-meshing and reverse impact with EHL lubrication condition	28
Random multi-player games	28
Machine learning approach to the Floquet–Lindbladian problem	28
Iterative learning control for differential inclusion systems with random fading channels by varying average technique	28
On the proper periodic Ricker model	28
Data-driven control of oscillator networks with population-level measurement	27
Response of solitary states to noise-modulated parameters in nonlocally coupled networks of Lozi maps	27
Wave-packet spreading in disordered soft architected structures	27
Swarmalators on a ring with uncorrelated pinning	27
Non-Markovian processes on heteroclinic networks	27
Effect of correlation time of combustion noise on early warning indicators of thermoacoustic instability	27
Discovery of interpretable structural model errors by combining Bayesian sparse regression and data assimilation: A chaotic Kuramoto–Sivashinsky test case	26
Logarithmic spiral solutions of the Kopell–Howard lambda–omega reaction–diffusion equations	26
Early detection of lean blowout using recurrence network for varying degrees of premixedness	26
Increasing model vertical resolution may not necessarily lead to improved atmospheric predictability	26
Noise-induced chaos: A conditioned random dynamics perspective	26
Exploring the complex dynamics of a diffusive epidemic model: Stability and bifurcation analysis	26
A pressure-free long-time stable reduced-order model for two-dimensional Rayleigh–Bénard convection	26
Stabilization of hydrogen-bonded molecular chains by carbon nanotubes	25
Opinion dynamics on biased dynamical networks: Beyond rare opinion updating	25
Delay-driven phase transitions in an epidemic model on time-varying networks	25
The effect of demographic stochasticity on Zika virus transmission dynamics: Probability of disease extinction, sensitivity analysis, and mean first passage time	25
Evolution of cooperation on reinforcement-learning driven-adaptive networks	25
Most probable escape paths in periodically driven nonlinear oscillators	24
Correlation between the formation of new competing group and spatial scale for biodiversity in the evolutionary dynamics of cyclic competition	24
Levitons in correlated nano-scale systems	24
Unpredictable tunneling in a retarded bistable potential	24
Symmetry breaking yields chimeras in two small populations of Kuramoto-type oscillators	24
Unexpected advantages of exploitation for target searches in complex networks	24
Bifurcations of degenerate homoclinic solutions in discontinuous systems under non-autonomous perturbations	24
Non-parametric tests for serial dependence in time series based on asymptotic implementations of ordinal-pattern statistics	24
Symmetric replicator dynamics with depletable resources	24
Disease extinction for susceptible–infected–susceptible models on dynamic graphs and hypergraphs	24
Generalized weighted permutation entropy	23
Cooperative evolution with opinion formation in a complex social environment	23
Surprising features of the energy-mismatched nonlinear dimer	23
Two-step seeding strategy in multiplex networks with inter-layer conversion cost of influence	23
Time shifts to reduce the size of reservoir computers	23

Classification of musical intervals by spiking neural networks: Perfect student in solfége classes	23
Co-evolution of heterogeneous cognition in spatial snowdrift game with asymmetric cost	23
Global density equations for interacting particle systems with stochastic resetting: From overdamped Brownian motion to phase synchronization	23
Melnikov-type method for a class of planar hybrid piecewise-smooth systems with impulsive effect and noise excitation: Heteroclinic orbits	23
Chimeras on annuli	23
Peregrine solitons and resonant radiation in cubic and quadratic media	22
A global bifurcation organizing rhythmic activity in a coupled network	22
Greenhouse gas emissions: A rapid submerge of the world	22
Phase holonomy underlies puzzling temporal patterns in Kuramoto models with two sub-populations	22
Strong symmetry breaking rhythms created by folded nodes in a pair of symmetrically coupled, identical Koper oscillators	22
Analytical investigation of vesicle dynamics via the modified Riemann–Liouville fractional derivative: Mittag-Leffler function solution and comparative analysis with Caputo’s derivative	21
Fractal contours: Order, chaos, and art	21
Statistical properties of extreme soliton collisions	21
ABC-like flows on the 3-torus	21
Invariant tori in dissipative hyperchaos	21
The combination of social reward and punishment is conducive to the cooperation and heterogeneity of social relations	21
The relationship between clustering and networked Turing patterns	20
The causality measure of partial mutual information from mixed embedding (PMIME) revisited	20
Enhancing predictive capabilities in data-driven dynamical modeling with automatic differentiation: Koopman and neural ODE approaches	20
Mixed-mode oscillations of an atomic force microscope in tapping mode	20
Phase frustration induced remote synchronization	20
Quasi-objective eddy visualization from sparse drifter data	20
Bifurcation and onset of chaos in an eco-epidemiological system with the influence of time delay	20
Excitation of mirror symmetry higher-order rational soliton in modulation stability regimes on continuous wave background	20
Mathematical modeling of the Chilean riots of 2019: An epidemiological non-local approach	20
Epidemic spreading on spatial higher-order network	20
Erratum: “Bifurcations in adaptive vascular networks: Towards model calibration” [Chaos 33, 093135 (2023)]	20
The impact of inner-coupling and time delay on synchronization: From single-layer network to hypernetwork	20
Noise-induced stabilization of the FitzHugh–Nagumo neuron dynamics: Multistability and transient chaos	19
Dynamical states and bifurcations in coupled thermoacoustic oscillators	19
Recovering obstacles from their traveling times	19
Polygonal boundary gaps in multiple diffusion source precipitation systems in gel media	19
Inertial motion on the earth’s spheroidal surface	19
Modeling multi-opinion propagation in complex systems with heterogeneous relationships via Potts model on signed networks	19
Permutation group entropy: A new route to complexity for real-valued processes	19
Multiple stochastic and inverse stochastic resonances with transition phenomena in complex corporate financial systems	19
Nonlinear comparative analysis of Greenland and Antarctica ice cores data	18
Dynamical integrity of the safe basins in a problem of forced escape	18
Dynamics of a single-phase natural circulation system under harmonic excitation	18
Electrical coupling of individual electrocatalytic oscillators	18
Different effects of external force fields on aging Lévy walk	18
Equilibrium and symmetries of altitudinal magnetic rotors on a circle	18
Copula-based analysis of the generalized friendship paradox in clustered networks	18
Synchronizing network systems in the presence of limited resources via edge snapping	18
On the alternating target tracking of a point cloud on Riemannian manifolds	18
How local antipredator response unbalances the rock-paper-scissors model	18
Transient modes for the coupled modified Korteweg–de Vries equations with negative cubic nonlinearity: Stability and applications of breathers	18
The effect of multi-tasks mechanism on cooperation in evolutionary game	17
Linear interference of nonlinear waves—Multispeed vector solitons	17
Dual-domain analysis of gun violence incidents in the United States	17
Dynamics of a stage-structured predator–prey system with fear-induced group defense in autonomous and nonautonomous settings	17
Predicting climatic tipping points	17
Complexified synchrony	17
Attractor radius for fractional Lorenz systems and their application to the quantification of predictability limits	17
Self-organization in computation and chemistry: Return to AlChemy	17
Routes toward chaos in a memristor-based Shinriki circuit	17
Birth of strange nonchaotic attractors in a piecewise linear oscillator	17
Asymmetry induces critical desynchronization of power grids	17
Temporal dissipative solitons in the Morris–Lecar model with time-delayed feedback	17
Catalytic evolution of cooperation in a population with behavioral bimodality	17
On epidemic spreading in metapopulation networks with time-varying contact patterns	16
Space-dependent intermittent feedback can control birhythmicity	16
Sensitivity of actuation dynamics on normal and lateral Casimir forces: Interaction of phase change and topological insulator materials	16
Square waves and Bykov T-points in a delay algebraic model for the Kerr–Gires–Tournois interferometer	16
Solitonic-like interactions of counter-propagating clusters of active particles	16
Bifurcations, chaos, and multistability in a nonautonomous predator–prey model with fear	16
Bistability of operating modes and their switching in a three-machine power grid	16
Asymptotic theory of not completely integrable soliton equations	16
Synchronization of uncertain general fractional unified chaotic systems via finite-time adaptive sliding mode control	16
Asymmetrical dynamics of epidemic propagation and awareness diffusion in multiplex networks	16
How heterogeneity in connections and cycles matter for synchronization of complex networks	16
Potential grouping of nodes induced by higher-order structures in complex networks	16
Reliability and robustness of oscillations in some slow-fast chaotic systems	16
Birds breathe at an aerodynamic resonance	16
Hybrid nonlinear resonance in Hamiltonian systems	16
Lévy noise influences basin stability in a delayed vegetation-water dynamical system	16
Tristability in mitochondrial permeability transition pore opening	16
Chaos, periodic structures, and multistability: Complex dynamical behaviors of an eco-epidemiological model in parameter planes	15
Controlled generation of self-sustained oscillations in complex artificial neural networks	15
Kuramoto model for populations of quadratic integrate-and-fire neurons with chemical and electrical coupling	15

Seeing double with a multifunctional reservoir computer	15
The transition to synchronization on branching hierarchical lattices	15
Kantorovich–Rubinstein distance and approximation for non-local Fokker–Planck equations	15
Formation, propagation, and excitation of matter solitons and rogue waves in chiral BECs with a current nonlinearity trapped in external potentials	15
Irregular spots on body surfaces of vertebrates induced by supercritical pitchfork bifurcations	15
Implementation of a triangular probabilistic distribution for optimal parametrization of the SEIR model recovery rates with delay	15
Link prediction of the world container shipping network: A network structure perspective	15
Spiral waves in a hybrid discrete excitable media with electromagnetic flux coupling	15
Catalytic feed-forward explosive synchronization in multilayer networks	15
Optimization with delay-induced bifurcations	14
Time-irreversibility test for random-length time series: The matching-time approach applied to DNA	14
A modified Ricker map and its bursting oscillations	14
Data-driven stochastic model for cross-interacting processes with different time scales	14
Memristor-type chaotic mapping	14
Stable chimera states: A geometric singular perturbation approach	14
Rational expectations and differentiated information costs for heterogeneous fundamentalists in an evolutive Muthian cobweb model	14
Induced synchronization by endogenous noise modulation in finite-size random neural networks: A stochastic mean-field study	14
Winners of 2022 Edward Norton Lorenz Early Career Awards	14
Resilience of hybrid herbivore–plant–pollinator networks	14
Adaptive integral alternating minimization method for robust learning of nonlinear dynamical systems from highly corrupted data	14
Role reversal in a stage-structured prey–predator model with fear, delay, and carry-over effects	14
Nonlinear Schrödinger waves in a disordered potential: Branched flow, spectrum diffusion, and rogue waves	14
Existence of multiple noise-induced transitions in Lasota–Mackey maps	14
Learning continuous chaotic attractors with a reservoir computer	14
Sparse identification of nonlinear dynamical systems via non-convex penalty least squares	14
Absence of pure voltage instabilities in the third-order model of power grid dynamics	14
Learning of discrete models of variational PDEs from data	14
Lag and duration of leader–follower relationships in mixed traffic using causal inference	13
An ensemble multi-scale framework for long-term forecasting of air quality	13
Nonlinear complexification of periodic orbits in the generalized Landau scenario	13
Mechanism analysis for excitatory interneurons dominating poly-spike wave and optimization of electrical stimulation	13
Impact of periodic vaccination in SEIRS seasonal model	13
Experimental study of intrinsic localized mode mobility in a cyclic, balanced, 1D nonlinear transmission line	13
Hydrodynamic modulation instability triggered by a two-wave system	13
Causal interaction in high frequency turbulence at the biosphere–atmosphere interface: Structure–function coupling	13
Stochastic transformations of multi-rhythmic dynamics and order–chaos transitions in a discrete 2D model	13
Fractional averaging theory for discrete fractional-order system with impulses	13
Lorenz-like systems emerging from an integro-differential trajectory equation of a one-dimensional wave–particle entity	13
A memory-based approach to model glorious uncertainties of love	13
A developed non-smooth coordinate transformation for general bilateral vibro-impact systems	13
A tighter generalization bound for reservoir computing	13
Deterministic modeling of the diffusive memristor	13
Hard vs soft impacts in oscillatory systems' modeling revisited	13
Particle transport in open polygonal billiards: A scattering map	13
Direct statistical simulation of the Lorenz63 system	13
Network approach reveals the spatiotemporal influence of traffic on air pollution under COVID-19	13
Exact finite-size scaling for the random-matrix representation of bond percolation on square lattice	13
Locating saddle points using gradient extremals on manifolds adaptively revealed as point clouds	13
Extended mean-field approach for chimera states in random complex networks	13
Motion states identification of underwater glider based on complex networks and graph convolutional networks	13
Memory-based parameterization with differentiable solver: Application to Lorenz ’96	13
Modulational instability, generation, and evolution of rogue waves in the generalized fractional nonlinear Schrödinger equations with power-law nonlinearity and rational potentials	13
Machine learning based prediction of phase ordering dynamics	13
Multi-species prey–predator dynamics during a multi-strain pandemic	12
Higher-order link prediction via local information	12
Economical–epidemiological analysis of the coffee trees rust pandemic	12
A criterion for mixed dynamics in two-dimensional reversible maps	12
Promoting synchrony of power grids by restructuring network topologies	12
Asymptotic behavior of the forecast–assimilation process with unstable dynamics	12
Formulation of stochastic contact Hamiltonian systems	12
Measuring the importance of individual units in producing the collective behavior of a complex network	12
Arbitrarily large heteroclinic networks in fixed low-dimensional state space	12
Perspectives on adaptive dynamical systems	12
Systematic comparison between the generalized Lorenz equations and DNS in the two-dimensional Rayleigh–Bénard convection	12
Birhythmicity, intrinsic entrainment, and minimal chimeras in an electrochemical experiment	12
Physics-informed line graph neural network for power flow calculation	12
Quantifying fluctuations for dynamical power systems with stochastic excitations: A power spectral density-based method	12
Ordinal analysis of lexical patterns	12
The topological characteristics of the bifurcation and chaos in the motion of combustion fronts in solids	12
Transient circulant clusters in two-population network of Kuramoto oscillators with different rules of coupling adaptation	12
Statistical performance of local attractor dimension estimators in non-Axiom A dynamical systems	12
Dynamic stability of electric power grids: Tracking the interplay of the network structure, transmission losses, and voltage dynamics	12
A combat game model with inter-network confrontation and intra-network cooperation	12
Stochastic dynamics and first passage analysis of iced transmission lines via path integration method	12
The impact of nodes of information dissemination on epidemic spreading in dynamic multiplex networks	12
Appearance of chaos and hyperchaos in evolving pendulum network	12
Scientometric analysis of the Chaos journal (1991–2019): From descriptive statistics to complex networks viewpoints	12
Multistability analysis and nonlinear vibration for generator set in series hybrid electric vehicle through electromechanical coupling	12
Selective properties of diffusive couplings and their influence on spatiotemporal chaos	12
On infinite homoclinic orbits induced by unstable periodic orbits in the Lorenz system	12
Cyclonic and anticyclonic rotation in a cylinder cooled inhomogeneously on the top	12
Transverse instability in nonparaxial systems with four-wave mixing	11
Exploring nonlinear dynamics and network structures in Kuramoto systems using machine learning approaches	11
Allocation of hospital beds on the emergence of new infectious disease: A mathematical model	11
Geometric invariance of determining and resonating centers: Odd- and any-number limitations of Pyragas control	11
Parrondo’s effects with aperiodic protocols	11
Paradoxical nature of negative mobility in the weak dissipation regime	11
Hamiltonian neural networks with automatic symmetry detection	11
Measuring the variability of local characteristics in complex networks: Empirical and analytical analysis	11
An improved cell mapping method based on dimension-extension for fractional systems	11
The Sakaguchi–Kuramoto model in presence of asymmetric interactions that break phase-shift symmetry	11
Ordinal pattern transition networks in eye tracking reading signals	11
Mitigating epidemic spread in complex networks based on deep reinforcement learning	11
Multimodality in systems driven by Ornstein–Uhlenbeck noise	11
Chaos control in a multiple delayed phytoplankton–zooplankton model with group defense and predator’s interference	11