Capturing the edge of chaos as a spectral submanifold in pipe flows

An extended turbulent state can coexist with the stable laminar state in pipe flows. We focus here on short pipes with additional discrete symmetries imposed. In this case, the boundary between the coexisting basins of attraction, often called the edge of chaos, is the stable manifold of an edge sta...

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Veröffentlicht in:	Journal of fluid mechanics 2024-01, Vol.979, Article A48
Hauptverfasser:	Kaszás, Bálint, Haller, George
Format:	Artikel
Sprache:	eng
Schlagworte:	Chaos theory Dynamical systems JFM Notebooks JFM Papers Laminar flow Manifolds (mathematics) Orbits Pipe flow Reduced order models Reynolds number Subspaces Traveling waves Turbulence Velocity Velocity distribution
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