107 citations · 814 across the 36 of their papers we have counts for
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nlin.CD2015★ 22 cited
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…
nlin.CD2015★ 9 cited
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…