Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Soliton Collisions between Localizations in Complex Elementary
  Cellular Automata: Rules 54 and 110 and Beyond   In this paper we present a single-soliton two-component cellular automata
(CA) model of waves as mobile self-localizations, also known as: particles,
waves, or gliders; and its version with memory. The model is based on coding
sets of strings where each chain represents a unique mobile self-localization.
We will discuss briefly the original soliton models in CA proposed with {\it
filter automata}, followed by solutions in elementary CA (ECA) domain with the
famous universal ECA {\it Rule 110}, and reporting a number of new solitonic
collisions in ECA {\it Rule 54}. A mobile self-localization in this study is
equivalent a single soliton because the collisions of these mobile
self-localizations studied in this paper satisfies the property of solitonic
collisions. We also present a specific ECA with memory (ECAM), the ECAM Rule
$\phi_{R9maj:4}$, that displays single-soliton solutions from any initial
codification (including random initial conditions) for a kind of mobile
self-localization because such automaton is able to adjust any initial
condition to soliton structures.

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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: math
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: stat
1
The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an