9 citations · 23 across the 6 of their papers we have counts for
3 papers · 1 filter
Jacobian-Free Variational Method for Constructing Connecting Orbits in Nonlinear Dynamical Systems
Omid Ashtari, Tobias M. Schneider
In a dynamical systems description of spatiotemporally chaotic PDEs including those describing turbulence, chaos is viewed as a trajectory evolving within a network of non-chaotic,…
Predicting chaotic statistics with unstable invariant tori
Jeremy P. Parker, Omid Ashtari, Tobias M. Schneider
It has recently been speculated that statistical properties of chaos may be captured by weighted sums over unstable invariant tori embedded in the chaotic attractor of hyperchaotic…
Adjoint-based variational method for constructing periodic orbits of high-dimensional chaotic systems
Sajjad Azimi, Omid Ashtari, Tobias M. Schneider
Chaotic dynamics in systems ranging from low-dimensional nonlinear differential equations to high-dimensional spatio-temporal systems including fluid turbulence is supported by non…