5 citations · 9 across the 4 of their papers we have counts for
4 papers
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…
Ghost states underlying spatial and temporal patterns: how non-existing invariant solutions control nonlinear dynamics
Zheng Zheng, Pierre Beck, Tian Yang +3
Close to a saddle-node bifurcation, when two invariant solutions collide and disappear, the behavior of a dynamical system can closely resemble that of a solution which is no longe…
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.…
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…