On using extreme values to detect global stability thresholds in multi-stable systems: the case of transitional plane Couette flow
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Publication:336149
DOI10.1016/j.chaos.2014.01.008zbMath1348.76083arXiv1211.0510OpenAlexW2138141695WikidataQ57886171 ScholiaQ57886171MaRDI QIDQ336149
Valerio Lucarini, Davide Faranda, Jeroen Wouters, Paul Manneville
Publication date: 10 November 2016
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1211.0510
Shear flows and turbulence (76F10) Simulation of dynamical systems (37M05) Stability theory for smooth dynamical systems (37C75)
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Cites Work
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- On modelling transitional turbulent flows using under-resolved direct numerical simulations: the case of plane Couette flow
- Extreme value laws in dynamical systems for non-smooth observations
- Numerical convergence of the block-maxima approach to the generalized extreme value distribution
- Inertial manifolds
- Hitting time statistics and extreme value theory
- Extremes and related properties of random sequences and processes
- The Fokker-Planck equation. Methods of solution and applications.
- Extreme value distributions in chaotic dynamics.
- Limit theorems for the maximum term of a stationary process
- Towards a general theory of extremes for observables of chaotic dynamical systems
- A mathematical framework for critical transitions: bifurcations, fast-slow systems and stochastic dynamics
- Extreme value laws in dynamical systems under physical observables
- Sur la distribution limite du terme maximum d'une série aléatoire
- Extreme value theory for singular measures
- On the growth of laminar–turbulent patterns in plane Couette flow
- Formation of turbulent patterns near the onset of transition in plane Couette flow
- Instabilities, Chaos and Turbulence
- On the rate of convergence of normal extremes
- Patterns and dynamics in transitional plane Couette flow
- Extreme Values in Uniformly Mixing Stationary Stochastic Processes
- Asymptotic Extremes for $m$-Dependent Random Variables
- The Onset of Turbulence in Pipe Flow
- An introduction to statistical modeling of extreme values
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