Motion representation of one-dimensional cellular automaton rules

Details Motion representation of one-dimensional cellular automaton rules Motion representation of one-dimensional cellular automaton rules

2005-01-24

arxiv.org/abs/nlin/0501043v2

Nonlinear Sciences

Cellular Automata and Lattice Gases

9 pages

Scientific paper

Generalizing the motion representation we introduced for number-conserving rules, we give a systematic way to construct a generalized motion representation valid for non-conservative rules using the expression of the current, which appears in the discrete version of the continuity equation, completed by the discrete analogue of the source term. This new representation is general, but not unique, and can be used to represent, in a more visual way, any one-dimensional cellular automaton rule. A few illustrative examples are presented.

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