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- Continuous_spatial_automaton abstract "Continuous spatial automata, unlike cellular automata, have a continuum of locations, while the state of a location still is any of a finite number of real numbers. Time can also be continuous, and in this case the state evolves according to differential equations. One important example is reaction-diffusion textures, differential equations proposed by Alan Turing to explain how chemical reactions could create the stripes on zebras and spots on leopards. When these are approximated by CA, such CAs often yield similar patterns. Another important example is neural fields, continuum limit neural networks where average firing rates evolve based on integro-differential equations. Such models demonstrate spatiotemporal pattern formation, localized states and travelling waves. They have been used as models for cortical memory states and visual hallucinations.MacLennan [1] considers continuous spatial automata as a model of computation, and demonstrated that they can implement Turing-universality.".
- Continuous_spatial_automaton wikiPageExternalLink contin-comp.html.
- Continuous_spatial_automaton wikiPageID "7555605".
- Continuous_spatial_automaton wikiPageLength "2133".
- Continuous_spatial_automaton wikiPageOutDegree "11".
- Continuous_spatial_automaton wikiPageRevisionID "668121786".
- Continuous_spatial_automaton wikiPageWikiLink Alan_Turing.
- Continuous_spatial_automaton wikiPageWikiLink Analog_computer.
- Continuous_spatial_automaton wikiPageWikiLink Artificial_neural_network.
- Continuous_spatial_automaton wikiPageWikiLink Category:Cellular_automata.
- Continuous_spatial_automaton wikiPageWikiLink Cellular_automata.
- Continuous_spatial_automaton wikiPageWikiLink Cellular_automaton.
- Continuous_spatial_automaton wikiPageWikiLink Coupled_map_lattice.
- Continuous_spatial_automaton wikiPageWikiLink Integro-differential_equation.
- Continuous_spatial_automaton wikiPageWikiLink Neural_networks.
- Continuous_spatial_automaton wikiPageWikiLink Pattern_formation.
- Continuous_spatial_automaton wikiPageWikiLink Reaction-diffusion.
- Continuous_spatial_automaton wikiPageWikiLink Reaction–diffusion_system.
- Continuous_spatial_automaton wikiPageWikiLink Spatiotemporal.
- Continuous_spatial_automaton wikiPageWikiLink Zebra.
- Continuous_spatial_automaton wikiPageWikiLinkText "Continuous spatial automata".
- Continuous_spatial_automaton wikiPageWikiLinkText "Continuous spatial automaton".
- Continuous_spatial_automaton hasPhotoCollection Continuous_spatial_automaton.
- Continuous_spatial_automaton wikiPageUsesTemplate Template:Reflist.
- Continuous_spatial_automaton subject Category:Cellular_automata.
- Continuous_spatial_automaton comment "Continuous spatial automata, unlike cellular automata, have a continuum of locations, while the state of a location still is any of a finite number of real numbers. Time can also be continuous, and in this case the state evolves according to differential equations. One important example is reaction-diffusion textures, differential equations proposed by Alan Turing to explain how chemical reactions could create the stripes on zebras and spots on leopards.".
- Continuous_spatial_automaton label "Continuous spatial automaton".
- Continuous_spatial_automaton sameAs m.026577c.
- Continuous_spatial_automaton sameAs Q5165519.
- Continuous_spatial_automaton sameAs Q5165519.
- Continuous_spatial_automaton wasDerivedFrom Continuous_spatial_automaton?oldid=668121786.
- Continuous_spatial_automaton isPrimaryTopicOf Continuous_spatial_automaton.