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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…