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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| Veröffentlicht in: | Mathematical and computer modelling Jg. 30; H. 7; S. 35 - 59 |
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| Format: | Journal Article |
| Sprache: | Englisch |
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Elsevier Ltd
01.10.1999
Elsevier Science |
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| ISSN: | 0895-7177, 1872-9479 |
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Holland, O. Melhuish, C. Adamatzky, A. |
| Author_xml | – sequence: 1 givenname: A. surname: Adamatzky fullname: Adamatzky, A. email: Andrew.Adamatzky@uwe.ac.uk – sequence: 2 givenname: C. surname: Melhuish fullname: Melhuish, C. email: Chris.Melhuish@uwe.ac.uk – sequence: 3 givenname: O. surname: Holland fullname: Holland, O. email: Owen.Holland@uwe.ac.uk |
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| Cites_doi | 10.1002/bs.3830360405 10.1016/S0378-4371(98)00468-3 10.1038/382793a0 10.1088/0964-1726/7/1/001 10.1016/0167-2789(94)90293-3 10.1016/S0960-0779(97)00123-9 10.1016/0378-4371(94)90312-3 10.1103/PhysRevLett.76.427 10.1103/PhysRevLett.75.3838 10.1103/PhysRevLett.75.1226 10.1103/PhysRevE.57.4568 10.1016/S0895-7177(98)00156-3 10.1016/0003-3472(92)90041-7 10.1126/science.269.5224.686 10.1162/artl.1997.3.3.191 10.1016/S0378-4371(97)00437-8 10.1103/PhysRevLett.72.2494 10.1016/0025-5564(84)90060-9 10.1090/S0002-9904-1978-14560-1 10.1103/PhysRevE.54.1791 10.1007/BF00172140 10.1016/0167-2789(90)90064-V 10.1103/PhysRevLett.59.381 10.1103/PhysRevE.58.4828 10.1103/PhysRevE.51.4282 10.1016/0960-0779(95)00081-X 10.1103/PhysRevLett.79.213 10.1103/PhysRevLett.72.1120 10.1209/epl/i1996-00139-0 |
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| Copyright | 1999 Elsevier Science Ltd. All rights reserved 2000 INIST-CNRS |
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| Issue | 7 |
| Keywords | 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 |
| Language | English |
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| SubjectTerms | 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 |
| Title | Morphology of patterns of lattice swarms: Interval parameterization |
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