Glider Collisions in Hybrid Cellular Automaton with Memory Rule (43, 74)

Bo Chen; Fangyue Chen; Genaro J. Martínez

doi:10.1142/S0218127417500821

Glider Collisions in Hybrid Cellular Automaton with Memory Rule (43, 74)

Bo Chen, Fangyue Chen, Genaro J. Martínez

Escuela Superior de Cómputo (ESCOM)

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In the case of one-dimensional cellular automaton (CA), a hybrid CA (HCA) is the member whose evolution of the cells is dependent on nonunique global functions. The HCAs exhibit a wide range of traveling and stationary localizations in their evolution. We focus on HCA with memory (HCAM) because they produce a host of gliders and complicated glider collisions by introducing the hybrid mechanism. In particular, we undertake an exhaustive search of gliders and describe their collisions using quantitative approach in HCAM(43, 74). By introducing the symbol vector space and exploiting the mathematical definition of HCAM, we present an analytical method of complex asymptotic dynamics of the gliders.

Original language	English
Article number	1750082
Journal	International Journal of Bifurcation and Chaos
Volume	27
Issue number	6
DOIs	https://doi.org/10.1142/S0218127417500821
State	Published - 15 Jun 2017

Keywords

Hybrid cellular automata with memory
chaos
collisions
directed graph representation
glider
symbolic dynamics
transition matrix

Access to Document

10.1142/S0218127417500821

Cite this

@article{cf9f3b8938104ebd83e1190dd9884d13,

title = "Glider Collisions in Hybrid Cellular Automaton with Memory Rule (43, 74)",

abstract = "In the case of one-dimensional cellular automaton (CA), a hybrid CA (HCA) is the member whose evolution of the cells is dependent on nonunique global functions. The HCAs exhibit a wide range of traveling and stationary localizations in their evolution. We focus on HCA with memory (HCAM) because they produce a host of gliders and complicated glider collisions by introducing the hybrid mechanism. In particular, we undertake an exhaustive search of gliders and describe their collisions using quantitative approach in HCAM(43, 74). By introducing the symbol vector space and exploiting the mathematical definition of HCAM, we present an analytical method of complex asymptotic dynamics of the gliders.",

keywords = "Hybrid cellular automata with memory, chaos, collisions, directed graph representation, glider, symbolic dynamics, transition matrix",

author = "Bo Chen and Fangyue Chen and Mart{\'i}nez, {Genaro J.}",

note = "Publisher Copyright: {\textcopyright} 2017 World Scientific Publishing Company.",

year = "2017",

month = jun,

day = "15",

doi = "10.1142/S0218127417500821",

language = "Ingl{\'e}s",

volume = "27",

journal = "International Journal of Bifurcation and Chaos",

issn = "0218-1274",

number = "6",

}

TY - JOUR

T1 - Glider Collisions in Hybrid Cellular Automaton with Memory Rule (43, 74)

AU - Chen, Bo

AU - Chen, Fangyue

AU - Martínez, Genaro J.

PY - 2017/6/15

Y1 - 2017/6/15

N2 - In the case of one-dimensional cellular automaton (CA), a hybrid CA (HCA) is the member whose evolution of the cells is dependent on nonunique global functions. The HCAs exhibit a wide range of traveling and stationary localizations in their evolution. We focus on HCA with memory (HCAM) because they produce a host of gliders and complicated glider collisions by introducing the hybrid mechanism. In particular, we undertake an exhaustive search of gliders and describe their collisions using quantitative approach in HCAM(43, 74). By introducing the symbol vector space and exploiting the mathematical definition of HCAM, we present an analytical method of complex asymptotic dynamics of the gliders.

AB - In the case of one-dimensional cellular automaton (CA), a hybrid CA (HCA) is the member whose evolution of the cells is dependent on nonunique global functions. The HCAs exhibit a wide range of traveling and stationary localizations in their evolution. We focus on HCA with memory (HCAM) because they produce a host of gliders and complicated glider collisions by introducing the hybrid mechanism. In particular, we undertake an exhaustive search of gliders and describe their collisions using quantitative approach in HCAM(43, 74). By introducing the symbol vector space and exploiting the mathematical definition of HCAM, we present an analytical method of complex asymptotic dynamics of the gliders.

KW - Hybrid cellular automata with memory

KW - chaos

KW - collisions

KW - directed graph representation

KW - glider

KW - symbolic dynamics

KW - transition matrix

UR - http://www.scopus.com/inward/record.url?scp=85021785358&partnerID=8YFLogxK

U2 - 10.1142/S0218127417500821

DO - 10.1142/S0218127417500821

M3 - Artículo

AN - SCOPUS:85021785358

SN - 0218-1274

VL - 27

JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

IS - 6

M1 - 1750082

ER -

Glider Collisions in Hybrid Cellular Automaton with Memory Rule (43, 74)

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this