Chaos

Papers
(The H4-Index of Chaos is 35. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2022-01-01 to 2026-01-01.)
ArticleCitations
Nonlinear Schrödinger waves in a disordered potential: Branched flow, spectrum diffusion, and rogue waves134
Invariant tori in dissipative hyperchaos102
A pressure-free long-time stable reduced-order model for two-dimensional Rayleigh–Bénard convection69
Scaling properties of A + B → C reaction–diffusion fronts in finite rectilinear geometries66
Impact of periodic vaccination in SEIRS seasonal model64
Exploration of soliton solutions and chaos analysis in thin-film ferroelectric materials64
Hierarchical formation of multicluster and chimera states in a network of phase oscillators with high-order adaptive couplings64
The nonlinear Fokker–Planck equation with nongradient drift forces and an anisotropic potential63
A developed non-smooth coordinate transformation for general bilateral vibro-impact systems62
Energy-induced chimera-like states in bilayer memristive FitzHugh–Nagumo neural networks57
Hydrodynamic modulation instability triggered by a two-wave system55
A bottom-up approach for recurrence detection based on sampling distance55
Data-driven modeling of traffic flow in macroscopic network systems55
Modulational instability, generation, and evolution of rogue waves in the generalized fractional nonlinear Schrödinger equations with power-law nonlinearity and rational potentials51
A simulation-supported thought experiment for measuring low-dimensional chaotic systems subjected to parameter drift51
Reliable detection of directional couplings using cross-vector measures50
Dynamical analysis and solutions of coupled 4D fractional differential systems with applications to predictability limit quantification in ocean-atmosphere models50
Sparse identification of nonlinear dynamical systems via non-convex penalty least squares49
Locating saddle points using gradient extremals on manifolds adaptively revealed as point clouds49
Mathematical modeling of the Chilean riots of 2019: An epidemiological non-local approach45
Lévy noise influences basin stability in a delayed vegetation-water dynamical system41
Data-driven stochastic model for cross-interacting processes with different time scales41
Research on portfolio optimization under asymmetric power-law distribution of return tail41
Synchronizing network systems in the presence of limited resources via edge snapping41
Dynamic stability of electric power grids: Tracking the interplay of the network structure, transmission losses, and voltage dynamics40
Forecasting with an N-dimensional Langevin equation and a neural-ordinary differential equation40
Data-driven control of oscillator networks with population-level measurement39
Stochastic averaging for a type of fractional differential equations with multiplicative fractional Brownian motion38
An algorithm for simplified recurrence analysis38
Recurrent neural networks for dynamical systems: Applications to ordinary differential equations, collective motion, and hydrological modeling38
Nonautonomous scalar concave–convex differential equations: Conditions for uniform stability or bistability in a model of optical fluorescence38
Permutation group entropy: A new route to complexity for real-valued processes37
Quantifying the nonlinear complexity of optical time-delayed chaotic systems based on reservoir computing36
Non-parametric tests for serial dependence in time series based on asymptotic implementations of ordinal-pattern statistics36
ZEUS: Numerical methods to detect quasi-particles describing excitable media36
Adaptive integral alternating minimization method for robust learning of nonlinear dynamical systems from highly corrupted data35
Short-term plasticity promotes synchronization of coupled chaotic oscillators in excitatory–inhibitory networks35
Quasi-objective eddy visualization from sparse drifter data35
Symbolic regression via neural networks35
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