132 citations · 346 across the 7 of their papers we have counts for
7 papers
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…
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…
Revealing the state space of turbulent pipe flow by symmetry reduction
Ashley P. Willis, Predrag Cvitanovic, Marc Avila
Symmetry reduction by the method of slices is applied to pipe flow in order to quotient the stream-wise translation and azimuthal rotation symmetries of turbulent flow states. With…
Stable Manifolds and the Transition to Turbulence in Pipe Flow
D. Viswanath, P. Cvitanovic
Lower-branch traveling waves and equilibria computed in pipe flow and other shear flows appear intermediate between turbulent and laminar motions. We take a step towards connecting…
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…
Spectrum of stochastic evolution operators: Local matrix representation approach
Predrag Cvitanovic, Niels Sondergaard, Gergely Palla +2
A matrix representation of the evolution operator associated with a nonlinear stochastic flow with additive noise is used to compute its spectrum. In the weak noise limit a perturb…