107 citations · 814 across the 36 of their papers we have counts for
36 papers
Perturbation theory for the Fokker-Planck operator in chaos
Jeffrey M. Heninger, Domenico Lippolis, Predrag Cvitanovic
The stationary distribution of a fully chaotic system typically exhibits a fractal structure, which dramatically changes if the dynamical equations are even slightly modified. Pert…
Unstable manifolds of relative periodic orbits in the symmetry-reduced state space of the Kuramoto-Sivashinsky system
Nazmi Burak Budanur, Predrag Cvitanović
Systems such as fluid flows in channels and pipes or the complex Ginzburg-Landau system, defined over periodic domains, exhibit both continuous symmetries, translational and rotati…
Neighborhoods of periodic orbits and the stationary distribution of a noisy chaotic system
Jeffrey M. Heninger, Domenico Lippolis, Predrag Cvitanovic
The finest state space resolution that can be achieved in a physical dynamical system is limited by the presence of noise. In the weak-noise approximation the neighborhoods of dete…
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…