132 citations · 346 across the 7 of their papers we have counts for
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nlin.CD2022★ 10 cited
A chaotic lattice field theory in one dimension
Han Liang, Predrag Cvitanović
Motivated by Gutzwiller's semiclassical quantization, in which unstable periodic orbits of low-dimensional deterministic dynamics serve as a WKB `skeleton' for chaotic quantum mech…
nlin.CD2016★ 39 cited
Estimating dimension of inertial manifold from unstable periodic orbits
X. Ding, H. Chaté, P. Cvitanović +2
We provide numerical evidence that a finite-dimensional inertial manifold on which the dynamics of a chaotic dissipative dynamical system lives can be constructed solely from the k…
nlin.CD2003★ 19 cited
Cycle expansions for intermittent maps
Roberto Artuso, Predrag Cvitanovic, Gregor Tanner
In a generic dynamical system chaos and regular motion coexist side by side, in different parts of the phase space. The border between these, where trajectories are neither unstabl…