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math-ph2012★ 29 cited
An optimization principle for deriving nonequilibrium statistical models of Hamiltonian dynamics
Bruce Turkington
A general method for deriving closed reduced models of Hamiltonian dynamical systems is developed using techniques from optimization and statistical estimation. As in standard proj…
math-ph2012
A nonequilibrium statistical model of spectrally truncated Burgers-Hopf dynamics
Richard Kleeman, Bruce E. Turkington
Exact spectral truncations of the unforced, inviscid Burgers-Hopf equation are Hamiltonian systems with many degrees of freedom which exhibit intrinsic stochasticity and coherent s…