293 citations · 563 across the 9 of their papers we have counts for
10 papers
A chaotic lattice field theory in two dimensions
Predrag Cvitanović, Han Liang
We describe spatiotemporally chaotic (or turbulent) field theories discretized over d-dimensional lattices in terms of sums over their multi-periodic orbits. `Chaos theory' is here…
Learning dissipation and instability fields from chaotic dynamics
Ludovico T Giorgini, Andre N Souza, Domenico Lippolis +2
To make predictions or design control, information on local sensitivity of initial conditions and state-space contraction is both central, and often instrumental. However, it is no…
Chaotic mixing in plane Couette turbulence
John R. Elton, Predrag Cvitanović, Jonathan Halcrow +1
Lagrangian tracer particle trajectories for invariant solutions of the Navier-Stokes equations confined to the three-dimensional geometry of plane Couette flow are studied. Treatin…
Linear encoding of the spatiotemporal cat
Boris Gutkin, Li Han, Rana Jafari +2
The dynamics of an extended, spatiotemporally chaotic system might appear extremely complex. Nevertheless, the local dynamics, observed through a finite spatiotemporal window, can…
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…
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…