107 citations · 814 across the 36 of their papers we have counts for
3 papers · 2 filters
Periodic orbit analysis of a system with continuous symmetry - a tutorial
Nazmi Burak Budanur, Daniel Borrero-Echeverry, Predrag Cvitanović
Dynamical systems with translational or rotational symmetry arise frequently in studies of spatially extended physical systems, such as Navier-Stokes flows on periodic domains. In…
Periodic eigendecomposition and its application to Kuramoto-Sivashinsky system
Xiong Ding, Predrag Cvitanović
Periodic eigendecomposition, to be formulated in this paper, is a numerical method to compute Floquet spectrum and Floquet vectors along periodic orbits in a dynamical system. It i…
Reduction of SO(2) symmetry for spatially extended dynamical systems
Nazmi Burak Budanur, Predrag Cvitanović, Ruslan L. Davidchack +1
Spatially extended systems, such as channel or pipe flows, are often equivariant under continuous symmetry transformations, with each state of the flow having an infinite number of…