Discrete systems with memory:
Memory is a universal function of organized matter. What is the mathematics of memory? How does memory affect the space-time behaviour of spatially extended systems? Does memory increase complexity? This book provides answers to these questions. It focuses on the study of spatially extended systems,...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2011
|
| Schriftenreihe: | World Scientific series on nonlinear science
|
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | Memory is a universal function of organized matter. What is the mathematics of memory? How does memory affect the space-time behaviour of spatially extended systems? Does memory increase complexity? This book provides answers to these questions. It focuses on the study of spatially extended systems, i.e., cellular automata and other related discrete complex systems. Thus, arrays of locally connected finite state machines, or cells, update their states simultaneously, in discrete time, by the same transition rule. The classical dynamics in these systems is Markovian : only the actual configuration is taken into account to generate the next one. Generalizing the conventional view on spatially extended discrete dynamical systems evolution by allowing cells (or nodes) to be featured by some trait state computed as a function of its own previous state-values, the transition maps of the classical systems are kept unaltered, so that the effect of memory can be easily traced. The book demonstrates that discrete dynamical systems with memory are not only priceless tools for modeling natural phenomena but unique mathematical and aesthetic objects |
| Beschreibung: | xi, 465 p. ill. (some col.) |
| ISBN: | 9789814343640 |
Internformat
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Datensatz im Suchindex
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| author | Alonso-Sanz, Ramon |
| author_facet | Alonso-Sanz, Ramon |
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| dewey-full | 511.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3 |
| dewey-search | 511.3 |
| dewey-sort | 3511.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044638434 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T07:57:53Z |
| institution | BVB |
| isbn | 9789814343640 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030036408 |
| oclc_num | 1012701078 |
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| owner | DE-92 |
| owner_facet | DE-92 |
| physical | xi, 465 p. ill. (some col.) |
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| publishDate | 2011 |
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| series2 | World Scientific series on nonlinear science |
| spelling | Alonso-Sanz, Ramon Verfasser aut Discrete systems with memory Ramon Alonso-Sanz Singapore World Scientific Pub. Co. c2011 xi, 465 p. ill. (some col.) txt rdacontent c rdamedia cr rdacarrier World Scientific series on nonlinear science Memory is a universal function of organized matter. What is the mathematics of memory? How does memory affect the space-time behaviour of spatially extended systems? Does memory increase complexity? This book provides answers to these questions. It focuses on the study of spatially extended systems, i.e., cellular automata and other related discrete complex systems. Thus, arrays of locally connected finite state machines, or cells, update their states simultaneously, in discrete time, by the same transition rule. The classical dynamics in these systems is Markovian : only the actual configuration is taken into account to generate the next one. Generalizing the conventional view on spatially extended discrete dynamical systems evolution by allowing cells (or nodes) to be featured by some trait state computed as a function of its own previous state-values, the transition maps of the classical systems are kept unaltered, so that the effect of memory can be easily traced. The book demonstrates that discrete dynamical systems with memory are not only priceless tools for modeling natural phenomena but unique mathematical and aesthetic objects Cellular automata / Mathematical models Discrete-time systems / Mathematical models Dynamics Zellularer Automat (DE-588)4190671-8 gnd rswk-swf Diskretes System (DE-588)4401225-1 gnd rswk-swf Gedächtnis (DE-588)4019614-8 gnd rswk-swf Zellularer Automat (DE-588)4190671-8 s Diskretes System (DE-588)4401225-1 s Gedächtnis (DE-588)4019614-8 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789814343633 Erscheint auch als Druck-Ausgabe 9814343633 http://www.worldscientific.com/worldscibooks/10.1142/8119#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Alonso-Sanz, Ramon Discrete systems with memory Cellular automata / Mathematical models Discrete-time systems / Mathematical models Dynamics Zellularer Automat (DE-588)4190671-8 gnd Diskretes System (DE-588)4401225-1 gnd Gedächtnis (DE-588)4019614-8 gnd |
| subject_GND | (DE-588)4190671-8 (DE-588)4401225-1 (DE-588)4019614-8 |
| title | Discrete systems with memory |
| title_auth | Discrete systems with memory |
| title_exact_search | Discrete systems with memory |
| title_full | Discrete systems with memory Ramon Alonso-Sanz |
| title_fullStr | Discrete systems with memory Ramon Alonso-Sanz |
| title_full_unstemmed | Discrete systems with memory Ramon Alonso-Sanz |
| title_short | Discrete systems with memory |
| title_sort | discrete systems with memory |
| topic | Cellular automata / Mathematical models Discrete-time systems / Mathematical models Dynamics Zellularer Automat (DE-588)4190671-8 gnd Diskretes System (DE-588)4401225-1 gnd Gedächtnis (DE-588)4019614-8 gnd |
| topic_facet | Cellular automata / Mathematical models Discrete-time systems / Mathematical models Dynamics Zellularer Automat Diskretes System Gedächtnis |
| url | http://www.worldscientific.com/worldscibooks/10.1142/8119#t=toc |
| work_keys_str_mv | AT alonsosanzramon discretesystemswithmemory |