53 citations · 68 across the 5 of their papers we have counts for
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nlin.CG2008★ 1 cited
Exact Hydrodynamics of the Lattice BGK Equation
Bruce M. Boghosian
We apply the projection operator formalism to the problem of determining the asymptotic behavior of the lattice BGK equation in the hydrodynamic limit. As an alternative to the mor…
nlin.CG2008
An order-preserving property of additive invariant for Takesue-type reversible cellular automata
Gianluca Caterina, Bruce M. Boghosian
We show that, for a fairly large class of reversible, one-dimensional cellular automata, the set of additive invariants exhibits an algebraic structure. More precisely, if and…
nlin.CG2006★ 53 cited
A "No-Go" Theorem for the Existence of an Action Principle for Discrete Invertible Dynamical Systems
Gianluca Caterina, Bruce Boghosian
In this paper we study the problem of the existence of a least-action principle for invertible, second-order dynamical systems, discrete in time and space. We show that, when the c…