English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We concern with a special class of binary cellular automata, i.e., theso-called particle cellular automata (PCA) in the present paper. We firstpropose max-plus expressions to PCA of 4 neighbors. Then, by utilizing basicoperations of the max-plus algebra and appropriate transformations, PCA4-1, 4-2and 4-3 are solved exactly and their general solutions are found in terms ofmax-plus expressions. Finally, we analyze the asymptotic behaviors of generalsolutions and prove the fundamental diagrams exactly.

Max-plus analysis on some binary particle systems