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nlin.CD2026
Identifying recurrent flows in high-dimensional dissipative chaos from low-dimensional embeddings
Pierre Beck, Tobias M. Schneider
Unstable periodic orbits (UPOs) are the non-chaotic, dynamical building blocks of spatio-temporal chaos, motivating a first-principles based theory for turbulence ever since the di…
nlin.CD2024★ 4 cited
Data-driven guessing and gluing of unstable periodic orbits
Pierre Beck, Jeremy P. Parker, Tobias M. Schneider
Unstable periodic orbits (UPOs) are believed to be the underlying dynamical structures of spatio-temporal chaos and turbulence. Finding these UPOs is however notoriously difficult.…
nlin.CD2024
The topology of a chaotic attractor in the Kuramoto-Sivashinsky equation
Marie Abadie, Pierre Beck, Jeremy P. Parker +1
The Birman-Williams theorem gives a connection between the collection of unstable periodic orbits (UPOs) contained within a chaotic attractor and the topology of that attractor, fo…