104 citations · 104 across the 1 of their papers we have counts for
2 papers
physics.flu-dyn2017★ 104 cited
Relative periodic orbits form the backbone of turbulent pipe flow
Nazmi Burak Budanur, Kimberly Y. Short, Mohammad Farazmand +2
Chaotic dynamics of low-dimensional systems, such as Lorenz or Rössler flows, is guided by the infinity of periodic orbits embedded in their strange attractors. Whether this also b…
physics.flu-dyn2015
Symmetry reduction in high dimensions, illustrated in a turbulent pipe
Ashley P. Willis, Kimberly Y. Short, Predrag Cvitanović
Equilibrium solutions are believed to structure the pathways for ergodic trajectories in a dynamical system. However, equilibria are atypical for systems with continuous symmetries…