Morphology of patterns of lattice swarms: Interval parameterization

This model deals with collectives of mobile agents (finite automata) that move on a two-dimensional lattice in discrete time. In every trial, all automata start their evolution at the same lattice node. Every automaton moves from its current node to one of the randomly chosen neighbours if there is...

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Vydané v:Mathematical and computer modelling Ročník 30; číslo 7; s. 35 - 59
Hlavní autori: Adamatzky, A., Melhuish, C., Holland, O.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Oxford Elsevier Ltd 01.10.1999
Elsevier Science
Predmet:
Applied sciences
Automata. Abstract machines. Turing machines
Classification of the local rules
Collectives of automata
Computer science; control theory; systems
Exact sciences and technology
Global analysis, analysis on manifolds
Lattice swarm
Mathematics
Nonlinear systems
Pattern formation
Reaction-diffusion
Sciences and techniques of general use
Theoretical computing
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Pattern formation
Collectives of automata
Nonlinear systems
Lattice swarm
Classification of the local rules
Reaction-diffusion
Non linear equation
Finite automaton
Discrete system
Dynamical system
Reaction diffusion equation
Non linear system
ISSN:0895-7177, 1872-9479
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Popis
Shrnutí:This model deals with collectives of mobile agents (finite automata) that move on a two-dimensional lattice in discrete time. In every trial, all automata start their evolution at the same lattice node. Every automaton moves from its current node to one of the randomly chosen neighbours if there is another automaton at the same node or if the number of other automata in the neighbourhood belongs to some specified interval of integers. This interval is referred to an interval of activation. All agents find their appropriate positions and stop. The stationary global pattern of resting agents is eventually formed. Such patterns form a key subject of the paper. To group all intervals of activation onto different classes based on the morphological characteristics of the classes is a main task of the first part of the paper. The rest of the paper is devoted to investigation concerning the complete consistent parameterisation of the pattern formation rules of lattice swarm.
ISSN:0895-7177
1872-9479
DOI:10.1016/S0895-7177(99)00163-6