A nonlinear dynamics perspective of Wolfram's new kind of science.: Volume I /
This novel book introduces cellular automata from a rigorous nonlinear dynamics perspective. It supplies the missing link between nonlinear differential and difference equations to discrete symbolic analysis. A surprisingly useful interpretations of cellular automata in terms of neural networks is a...
Gespeichert in:
| 1. Verfasser: | |
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| Körperschaft: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore ; Hackensack, N.J. :
World Scientific Pub. Co.,
©2006.
|
| Schriftenreihe: | World Scientific series on nonlinear science. Monographs and treatises ;
v. 57. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This novel book introduces cellular automata from a rigorous nonlinear dynamics perspective. It supplies the missing link between nonlinear differential and difference equations to discrete symbolic analysis. A surprisingly useful interpretations of cellular automata in terms of neural networks is also given. The book provides a scientifically sound and original analysis, and classifications of the empirical results presented in Wolfram's monumental "New Kind of Science." |
| Beschreibung: | 1 online resource (xxvii, 367 pages) : illustrations (some color). |
| Bibliographie: | Includes bibliographical references (page 361) and index. |
| ISBN: | 9789812772138 9812772138 |
Internformat
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| 245 | 1 | 2 | |a A nonlinear dynamics perspective of Wolfram's new kind of science. |n Volume I / |c Leon O. Chua. |
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| 520 | |a This novel book introduces cellular automata from a rigorous nonlinear dynamics perspective. It supplies the missing link between nonlinear differential and difference equations to discrete symbolic analysis. A surprisingly useful interpretations of cellular automata in terms of neural networks is also given. The book provides a scientifically sound and original analysis, and classifications of the empirical results presented in Wolfram's monumental "New Kind of Science." | ||
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| 650 | 0 | |a Nonlinear theories. |0 http://id.loc.gov/authorities/subjects/sh85092332 | |
| 650 | 6 | |a Automates cellulaires. | |
| 650 | 6 | |a Complexité de calcul (Informatique) | |
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| author | Chua, Leon O., 1936- |
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| contents | Ch. 1. Threshold of complexity. 1. Introduction. 2. Cellular automata is a special case of CNN. 3. Every local rule is a cube with eight colored vertices. 4. Every local rule is a code for attractors of a dynamical system. 5. Every local rule has a unique complexity index -- ch. 2. Universal neuron. 1. Firing and quenching patterns. 2. A universal neuron. 3. Gallery of one-dimensional cellular automata. 4. Genealogic classification of local rules. 5. The double-helix torus. 6. Explaining and predicting pattern features -- ch. 3. Predicting the unpredictable. 1. Introduction. 2. Local versus global equivalence. 3. Predicting the unpredictable. 4. Predicting the predictable. 5. Concluding remarks. |
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| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn747539674 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:17:58Z |
| institution | BVB |
| institution_GND | http://id.loc.gov/authorities/names/no2001005546 |
| isbn | 9789812772138 9812772138 |
| language | English |
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| series | World Scientific series on nonlinear science. Monographs and treatises ; |
| series2 | World Scientific series on nonlinear science. Series A, Monographs and treatises ; |
| spelling | Chua, Leon O., 1936- https://id.oclc.org/worldcat/entity/E39PBJrRbHY6ykbmyVgHqWkJjC http://id.loc.gov/authorities/names/n82204052 A nonlinear dynamics perspective of Wolfram's new kind of science. Volume I / Leon O. Chua. Singapore ; Hackensack, N.J. : World Scientific Pub. Co., ©2006. 1 online resource (xxvii, 367 pages) : illustrations (some color). text txt rdacontent computer c rdamedia online resource cr rdacarrier World Scientific series on nonlinear science. Series A, Monographs and treatises ; v. 57 Includes bibliographical references (page 361) and index. Ch. 1. Threshold of complexity. 1. Introduction. 2. Cellular automata is a special case of CNN. 3. Every local rule is a cube with eight colored vertices. 4. Every local rule is a code for attractors of a dynamical system. 5. Every local rule has a unique complexity index -- ch. 2. Universal neuron. 1. Firing and quenching patterns. 2. A universal neuron. 3. Gallery of one-dimensional cellular automata. 4. Genealogic classification of local rules. 5. The double-helix torus. 6. Explaining and predicting pattern features -- ch. 3. Predicting the unpredictable. 1. Introduction. 2. Local versus global equivalence. 3. Predicting the unpredictable. 4. Predicting the predictable. 5. Concluding remarks. This novel book introduces cellular automata from a rigorous nonlinear dynamics perspective. It supplies the missing link between nonlinear differential and difference equations to discrete symbolic analysis. A surprisingly useful interpretations of cellular automata in terms of neural networks is also given. The book provides a scientifically sound and original analysis, and classifications of the empirical results presented in Wolfram's monumental "New Kind of Science." Cellular automata. http://id.loc.gov/authorities/subjects/sh85021692 Computational complexity. http://id.loc.gov/authorities/subjects/sh85029473 Dynamics. http://id.loc.gov/authorities/subjects/sh85040316 Nonlinear theories. http://id.loc.gov/authorities/subjects/sh85092332 Automates cellulaires. Complexité de calcul (Informatique) Dynamique. Théories non linéaires. kinetics (dynamics) aat MATHEMATICS Infinity. bisacsh MATHEMATICS Logic. bisacsh Cellular automata fast Computational complexity fast Dynamics fast Nonlinear theories fast World Scientific (Firm) http://id.loc.gov/authorities/names/no2001005546 Print version: 9789812569776 World Scientific series on nonlinear science. Series A, Monographs and treatises ; v. 57. http://id.loc.gov/authorities/names/no94008495 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=514842 Volltext |
| spellingShingle | Chua, Leon O., 1936- A nonlinear dynamics perspective of Wolfram's new kind of science. World Scientific series on nonlinear science. Monographs and treatises ; Ch. 1. Threshold of complexity. 1. Introduction. 2. Cellular automata is a special case of CNN. 3. Every local rule is a cube with eight colored vertices. 4. Every local rule is a code for attractors of a dynamical system. 5. Every local rule has a unique complexity index -- ch. 2. Universal neuron. 1. Firing and quenching patterns. 2. A universal neuron. 3. Gallery of one-dimensional cellular automata. 4. Genealogic classification of local rules. 5. The double-helix torus. 6. Explaining and predicting pattern features -- ch. 3. Predicting the unpredictable. 1. Introduction. 2. Local versus global equivalence. 3. Predicting the unpredictable. 4. Predicting the predictable. 5. Concluding remarks. Cellular automata. http://id.loc.gov/authorities/subjects/sh85021692 Computational complexity. http://id.loc.gov/authorities/subjects/sh85029473 Dynamics. http://id.loc.gov/authorities/subjects/sh85040316 Nonlinear theories. http://id.loc.gov/authorities/subjects/sh85092332 Automates cellulaires. Complexité de calcul (Informatique) Dynamique. Théories non linéaires. kinetics (dynamics) aat MATHEMATICS Infinity. bisacsh MATHEMATICS Logic. bisacsh Cellular automata fast Computational complexity fast Dynamics fast Nonlinear theories fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85021692 http://id.loc.gov/authorities/subjects/sh85029473 http://id.loc.gov/authorities/subjects/sh85040316 http://id.loc.gov/authorities/subjects/sh85092332 |
| title | A nonlinear dynamics perspective of Wolfram's new kind of science. |
| title_auth | A nonlinear dynamics perspective of Wolfram's new kind of science. |
| title_exact_search | A nonlinear dynamics perspective of Wolfram's new kind of science. |
| title_full | A nonlinear dynamics perspective of Wolfram's new kind of science. Volume I / Leon O. Chua. |
| title_fullStr | A nonlinear dynamics perspective of Wolfram's new kind of science. Volume I / Leon O. Chua. |
| title_full_unstemmed | A nonlinear dynamics perspective of Wolfram's new kind of science. Volume I / Leon O. Chua. |
| title_short | A nonlinear dynamics perspective of Wolfram's new kind of science. |
| title_sort | nonlinear dynamics perspective of wolfram s new kind of science |
| topic | Cellular automata. http://id.loc.gov/authorities/subjects/sh85021692 Computational complexity. http://id.loc.gov/authorities/subjects/sh85029473 Dynamics. http://id.loc.gov/authorities/subjects/sh85040316 Nonlinear theories. http://id.loc.gov/authorities/subjects/sh85092332 Automates cellulaires. Complexité de calcul (Informatique) Dynamique. Théories non linéaires. kinetics (dynamics) aat MATHEMATICS Infinity. bisacsh MATHEMATICS Logic. bisacsh Cellular automata fast Computational complexity fast Dynamics fast Nonlinear theories fast |
| topic_facet | Cellular automata. Computational complexity. Dynamics. Nonlinear theories. Automates cellulaires. Complexité de calcul (Informatique) Dynamique. Théories non linéaires. kinetics (dynamics) MATHEMATICS Infinity. MATHEMATICS Logic. Cellular automata Computational complexity Dynamics Nonlinear theories |
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