A nonlinear dynamics perspective of Wolfram's new kind of science, Volume I:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2006
|
| Schriftenreihe: | World Scientific series on nonlinear science
v. 57 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (p. 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" |
| Beschreibung: | 1 Online-Ressource (xxvii, 367 p.) |
| ISBN: | 9789812569776 9789812772138 9812566422 9812569774 9812772138 |
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| 245 | 1 | 0 | |a A nonlinear dynamics perspective of Wolfram's new kind of science, Volume I |c Leon O. Chua |
| 264 | 1 | |a Singapore |b World Scientific Pub. Co. |c c2006 | |
| 300 | |a 1 Online-Ressource (xxvii, 367 p.) | ||
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| 490 | 0 | |a World Scientific series on nonlinear science |v v. 57 | |
| 500 | |a Includes bibliographical references (p. 361) and index | ||
| 500 | |a 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 | ||
| 500 | |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" | ||
| 650 | 7 | |a MATHEMATICS / Infinity |2 bisacsh | |
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| 650 | 7 | |a Computational complexity |2 fast | |
| 650 | 7 | |a Dynamics |2 fast | |
| 650 | 7 | |a Nonlinear theories |2 fast | |
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| 650 | 4 | |a Computational complexity | |
| 650 | 4 | |a Dynamics | |
| 650 | 4 | |a Nonlinear theories | |
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Datensatz im Suchindex
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| author | Chua, Leon O. |
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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 | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043070077 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:16:31Z |
| institution | BVB |
| isbn | 9789812569776 9789812772138 9812566422 9812569774 9812772138 |
| language | English |
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| spelling | Chua, Leon O. Verfasser aut A nonlinear dynamics perspective of Wolfram's new kind of science, Volume I Leon O. Chua Singapore World Scientific Pub. Co. c2006 1 Online-Ressource (xxvii, 367 p.) txt rdacontent c rdamedia cr rdacarrier World Scientific series on nonlinear science v. 57 Includes bibliographical references (p. 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" MATHEMATICS / Infinity bisacsh MATHEMATICS / Logic bisacsh Cellular automata fast Computational complexity fast Dynamics fast Nonlinear theories fast Cellular automata Computational complexity Dynamics Nonlinear theories World Scientific (Firm) Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=514842 Aggregator Volltext |
| spellingShingle | Chua, Leon O. A nonlinear dynamics perspective of Wolfram's new kind of science, Volume I MATHEMATICS / Infinity bisacsh MATHEMATICS / Logic bisacsh Cellular automata fast Computational complexity fast Dynamics fast Nonlinear theories fast Cellular automata Computational complexity Dynamics Nonlinear theories |
| title | A nonlinear dynamics perspective of Wolfram's new kind of science, Volume I |
| title_auth | A nonlinear dynamics perspective of Wolfram's new kind of science, Volume I |
| title_exact_search | A nonlinear dynamics perspective of Wolfram's new kind of science, Volume I |
| 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, Volume I |
| title_sort | a nonlinear dynamics perspective of wolfram s new kind of science volume i |
| topic | MATHEMATICS / Infinity bisacsh MATHEMATICS / Logic bisacsh Cellular automata fast Computational complexity fast Dynamics fast Nonlinear theories fast Cellular automata Computational complexity Dynamics Nonlinear theories |
| topic_facet | MATHEMATICS / Infinity MATHEMATICS / Logic Cellular automata Computational complexity Dynamics Nonlinear theories |
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