Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
Cellular neural networks and visual computing : foundation and applications / / Leon O. Chua and Tamáz Roska [[electronic resource]]
| Cellular neural networks and visual computing : foundation and applications / / Leon O. Chua and Tamáz Roska [[electronic resource]] |
| Autore | Chua Leon O. <1936-> |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2002 |
| Descrizione fisica | 1 online resource (xi, 396 pages) : digital, PDF file(s) |
| Disciplina | 006.3/2 |
| Soggetto topico | Neural networks (Computer science) |
| ISBN |
1-107-11746-1
0-511-04051-2 1-280-42067-7 9786610420674 0-511-17694-5 0-511-15782-7 0-511-32984-9 0-511-75449-3 1-60119-735-7 0-511-04825-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Half-title; Title; Copyright; Dedication; Contents; Acknowledgements; 1 Introduction; 2 Notation, definitions, and mathematical foundation; 3 Characteristics and analysis of simple CNN templates; 4 Simulation of the CNN dynamics; 5 Binary CNN characterization via Boolean functions; 6 Uncoupled CNNs: unified theoryand applications; 7 Introduction to the CNN Universal Machine; 8 Back to basics: Nonlinear dynamics and complete stability; 9 The CNN Universal Machine (CNN-UM); 10 Template design tools; 11 CNNs for linear image processing; 12 Coupled CNN with linear synaptic weights
13 Uncoupled standard CNNs with nonlinear synaptic weights14 Standard CNNs with delayed synaptic weights and motion analysis; 15 Visual microprocessors ... analog and digital VLSI implementation of the CNN Universal Machine; 16 CNN models in the visual pathwayand the Bionic EyeŽ; Notes; Bibliography; Exercises; Appendices; Index |
| Altri titoli varianti | Cellular Neural Networks & Visual Computing |
| Record Nr. | UNINA-9910449822903321 |
Chua Leon O. <1936->
|
||
| Cambridge : , : Cambridge University Press, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Cellular neural networks and visual computing : foundation and applications / / Leon O. Chua and Tamáz Roska [[electronic resource]]
| Cellular neural networks and visual computing : foundation and applications / / Leon O. Chua and Tamáz Roska [[electronic resource]] |
| Autore | Chua Leon O. <1936-> |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2002 |
| Descrizione fisica | 1 online resource (xi, 396 pages) : digital, PDF file(s) |
| Disciplina | 006.3/2 |
| Soggetto topico | Neural networks (Computer science) |
| ISBN |
1-107-11746-1
0-511-04051-2 1-280-42067-7 9786610420674 0-511-17694-5 0-511-15782-7 0-511-32984-9 0-511-75449-3 1-60119-735-7 0-511-04825-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Half-title; Title; Copyright; Dedication; Contents; Acknowledgements; 1 Introduction; 2 Notation, definitions, and mathematical foundation; 3 Characteristics and analysis of simple CNN templates; 4 Simulation of the CNN dynamics; 5 Binary CNN characterization via Boolean functions; 6 Uncoupled CNNs: unified theoryand applications; 7 Introduction to the CNN Universal Machine; 8 Back to basics: Nonlinear dynamics and complete stability; 9 The CNN Universal Machine (CNN-UM); 10 Template design tools; 11 CNNs for linear image processing; 12 Coupled CNN with linear synaptic weights
13 Uncoupled standard CNNs with nonlinear synaptic weights14 Standard CNNs with delayed synaptic weights and motion analysis; 15 Visual microprocessors ... analog and digital VLSI implementation of the CNN Universal Machine; 16 CNN models in the visual pathwayand the Bionic EyeŽ; Notes; Bibliography; Exercises; Appendices; Index |
| Altri titoli varianti | Cellular Neural Networks & Visual Computing |
| Record Nr. | UNINA-9910777078603321 |
|
Chua Leon O. <1936->
|
||
| Cambridge : , : Cambridge University Press, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Cellular neural networks and visual computing : foundation and applications / / Leon O. Chua and Tamáz Roska [[electronic resource]]
| Cellular neural networks and visual computing : foundation and applications / / Leon O. Chua and Tamáz Roska [[electronic resource]] |
| Autore | Chua Leon O. <1936-> |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2002 |
| Descrizione fisica | 1 online resource (xi, 396 pages) : digital, PDF file(s) |
| Disciplina | 006.3/2 |
| Soggetto topico | Neural networks (Computer science) |
| ISBN |
1-107-11746-1
0-511-04051-2 1-280-42067-7 9786610420674 0-511-17694-5 0-511-15782-7 0-511-32984-9 0-511-75449-3 1-60119-735-7 0-511-04825-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Half-title; Title; Copyright; Dedication; Contents; Acknowledgements; 1 Introduction; 2 Notation, definitions, and mathematical foundation; 3 Characteristics and analysis of simple CNN templates; 4 Simulation of the CNN dynamics; 5 Binary CNN characterization via Boolean functions; 6 Uncoupled CNNs: unified theoryand applications; 7 Introduction to the CNN Universal Machine; 8 Back to basics: Nonlinear dynamics and complete stability; 9 The CNN Universal Machine (CNN-UM); 10 Template design tools; 11 CNNs for linear image processing; 12 Coupled CNN with linear synaptic weights
13 Uncoupled standard CNNs with nonlinear synaptic weights14 Standard CNNs with delayed synaptic weights and motion analysis; 15 Visual microprocessors ... analog and digital VLSI implementation of the CNN Universal Machine; 16 CNN models in the visual pathwayand the Bionic EyeŽ; Notes; Bibliography; Exercises; Appendices; Index |
| Altri titoli varianti | Cellular Neural Networks & Visual Computing |
| Record Nr. | UNINA-9910826759503321 |
|
Chua Leon O. <1936->
|
||
| Cambridge : , : Cambridge University Press, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A nonlinear dynamics perspective of Wolfram's new kind of science [[electronic resource] ] . Volume VI / / Leon O. Chua
| A nonlinear dynamics perspective of Wolfram's new kind of science [[electronic resource] ] . Volume VI / / Leon O. Chua |
| Autore | Chua Leon O. <1936-> |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific, 2013 |
| Descrizione fisica | 1 online resource (579 pages) |
| Disciplina | 511.3/5 |
| Collana |
Nonlinear dynamics perspective of Wolfram's new kind of science
World Scientific series on nonlinear science. Series A |
| Soggetto topico |
Cellular automata
Computational complexity Dynamics Nonlinear theories Electronic books |
| ISBN | 981-4460-88-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Dedication; Preface; CONTENTS; Volume VI; Chapter 1. Bernoulli στ -Shift Rules; 1. Introduction; 1.1. Brief notes on Bernoulli στ -shift rules; 2. Basin Tree Diagrams, Omega-Limit Orbits and Space-Time Patterns; 2.1. Basin tree diagrams and portraits of the ω-limit orbits; 2.2. Space-time patterns of Bernoulli rules using the super string as initial string; 3. Robust and Nonrobust ω-Limit Orbits of Rules from Group 4; 3.1. Robust ω-limit orbits of rules from Group 4; 3.2. Nonrobust ω-limit orbits of rules from Group 4; 4. Concluding Remarks; Chapter 2. More Bernoulli στ -Shift Rules
1. Introduction2. Bernoulli στ -Shift Rules; 2.1. General aspects of the Bernoulli στ -shift rules; 2.2. Basin-tree diagrams and portraits of their ω-limit orbits; 2.3. Space-time patterns of Bernoulli rules using the superstring as initial state; 3. Robust and Nonrobust ω-Limit Orbits of Rules from Group 4; 3.1. Robust ω-limit orbits of rules from Group 4; 3.2. Non-robust ω-limit orbits of rules from Group 4; 3.3. Rules with multiple robust ω-limit orbits; 4. Summary of Elementary 1D Cellular Automata; 4.1. Boolean cubes, complexity index, and threshold of complexity 4.2. Globally and quasi-globally equivalent rules4.3. Rotations and symmetries; 4.4. Classification of the local rules; 4.5. Fractality and quasi-ergodicity; 4.6. Isles of Eden and Omega-limit orbits; 5. Concluding Remarks; Chapter 3. Remembrance of Things Past; Vignettes from Volume I; Vignettes from Volume II; Vignettes from Volume III; Vignettes from Volume IV; Vignettes from Volume V; Vignettes from Volume VI; Vignettes of Metaphors from Biology, Cosmology, Physics, etc.; Vignettes of 256 Boolean Cubes; References; Appendices Appendix I: Correspondence between Chapters from Edited Book and Papers from IJBC JournalAppendix II: Useful and Generic Tables and Figures; Appendix III: Pages where 16 Exquisite Elementary CA Rules are Cited, Discussed, or Characterized; Appendix IV: Contents of Volumes I-VI; Index |
| Record Nr. | UNINA-9910452274403321 |
|
Chua Leon O. <1936->
|
||
| Singapore ; ; Hackensack, N.J., : World Scientific, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A nonlinear dynamics perspective of Wolfram's new kind of science . Volume VI / / Leon O. Chua, University of California at Berkeley, USA
| A nonlinear dynamics perspective of Wolfram's new kind of science . Volume VI / / Leon O. Chua, University of California at Berkeley, USA |
| Autore | Chua Leon O. <1936-> |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific, 2013 |
| Descrizione fisica | 1 online resource (x, 568 pages) : illustrations (chiefly color) |
| Disciplina | 511.3/5 |
| Collana |
Nonlinear dynamics perspective of Wolfram's new kind of science
World Scientific series on nonlinear science. Series A |
| Soggetto topico |
Cellular automata
Computational complexity Dynamics Nonlinear theories |
| ISBN | 981-4460-88-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Dedication; Preface; CONTENTS; Volume VI; Chapter 1. Bernoulli στ -Shift Rules; 1. Introduction; 1.1. Brief notes on Bernoulli στ -shift rules; 2. Basin Tree Diagrams, Omega-Limit Orbits and Space-Time Patterns; 2.1. Basin tree diagrams and portraits of the ω-limit orbits; 2.2. Space-time patterns of Bernoulli rules using the super string as initial string; 3. Robust and Nonrobust ω-Limit Orbits of Rules from Group 4; 3.1. Robust ω-limit orbits of rules from Group 4; 3.2. Nonrobust ω-limit orbits of rules from Group 4; 4. Concluding Remarks; Chapter 2. More Bernoulli στ -Shift Rules
1. Introduction2. Bernoulli στ -Shift Rules; 2.1. General aspects of the Bernoulli στ -shift rules; 2.2. Basin-tree diagrams and portraits of their ω-limit orbits; 2.3. Space-time patterns of Bernoulli rules using the superstring as initial state; 3. Robust and Nonrobust ω-Limit Orbits of Rules from Group 4; 3.1. Robust ω-limit orbits of rules from Group 4; 3.2. Non-robust ω-limit orbits of rules from Group 4; 3.3. Rules with multiple robust ω-limit orbits; 4. Summary of Elementary 1D Cellular Automata; 4.1. Boolean cubes, complexity index, and threshold of complexity 4.2. Globally and quasi-globally equivalent rules4.3. Rotations and symmetries; 4.4. Classification of the local rules; 4.5. Fractality and quasi-ergodicity; 4.6. Isles of Eden and Omega-limit orbits; 5. Concluding Remarks; Chapter 3. Remembrance of Things Past; Vignettes from Volume I; Vignettes from Volume II; Vignettes from Volume III; Vignettes from Volume IV; Vignettes from Volume V; Vignettes from Volume VI; Vignettes of Metaphors from Biology, Cosmology, Physics, etc.; Vignettes of 256 Boolean Cubes; References; Appendices Appendix I: Correspondence between Chapters from Edited Book and Papers from IJBC JournalAppendix II: Useful and Generic Tables and Figures; Appendix III: Pages where 16 Exquisite Elementary CA Rules are Cited, Discussed, or Characterized; Appendix IV: Contents of Volumes I-VI; Index |
| Record Nr. | UNINA-9910779987003321 |
|
Chua Leon O. <1936->
|
||
| Singapore ; ; Hackensack, N.J., : World Scientific, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A nonlinear dynamics perspective of Wolfram's new kind of science . Volume VI / / Leon O. Chua, University of California at Berkeley, USA
| A nonlinear dynamics perspective of Wolfram's new kind of science . Volume VI / / Leon O. Chua, University of California at Berkeley, USA |
| Autore | Chua Leon O. <1936-> |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific, 2013 |
| Descrizione fisica | 1 online resource (x, 568 pages) : illustrations (chiefly color) |
| Disciplina | 511.3/5 |
| Collana |
Nonlinear dynamics perspective of Wolfram's new kind of science
World Scientific series on nonlinear science. Series A |
| Soggetto topico |
Cellular automata
Computational complexity Dynamics Nonlinear theories |
| ISBN | 981-4460-88-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Dedication; Preface; CONTENTS; Volume VI; Chapter 1. Bernoulli στ -Shift Rules; 1. Introduction; 1.1. Brief notes on Bernoulli στ -shift rules; 2. Basin Tree Diagrams, Omega-Limit Orbits and Space-Time Patterns; 2.1. Basin tree diagrams and portraits of the ω-limit orbits; 2.2. Space-time patterns of Bernoulli rules using the super string as initial string; 3. Robust and Nonrobust ω-Limit Orbits of Rules from Group 4; 3.1. Robust ω-limit orbits of rules from Group 4; 3.2. Nonrobust ω-limit orbits of rules from Group 4; 4. Concluding Remarks; Chapter 2. More Bernoulli στ -Shift Rules
1. Introduction2. Bernoulli στ -Shift Rules; 2.1. General aspects of the Bernoulli στ -shift rules; 2.2. Basin-tree diagrams and portraits of their ω-limit orbits; 2.3. Space-time patterns of Bernoulli rules using the superstring as initial state; 3. Robust and Nonrobust ω-Limit Orbits of Rules from Group 4; 3.1. Robust ω-limit orbits of rules from Group 4; 3.2. Non-robust ω-limit orbits of rules from Group 4; 3.3. Rules with multiple robust ω-limit orbits; 4. Summary of Elementary 1D Cellular Automata; 4.1. Boolean cubes, complexity index, and threshold of complexity 4.2. Globally and quasi-globally equivalent rules4.3. Rotations and symmetries; 4.4. Classification of the local rules; 4.5. Fractality and quasi-ergodicity; 4.6. Isles of Eden and Omega-limit orbits; 5. Concluding Remarks; Chapter 3. Remembrance of Things Past; Vignettes from Volume I; Vignettes from Volume II; Vignettes from Volume III; Vignettes from Volume IV; Vignettes from Volume V; Vignettes from Volume VI; Vignettes of Metaphors from Biology, Cosmology, Physics, etc.; Vignettes of 256 Boolean Cubes; References; Appendices Appendix I: Correspondence between Chapters from Edited Book and Papers from IJBC JournalAppendix II: Useful and Generic Tables and Figures; Appendix III: Pages where 16 Exquisite Elementary CA Rules are Cited, Discussed, or Characterized; Appendix IV: Contents of Volumes I-VI; Index |
| Record Nr. | UNINA-9910807735803321 |
|
Chua Leon O. <1936->
|
||
| Singapore ; ; Hackensack, N.J., : World Scientific, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A nonlinear dynamics perspective of Wolfram's new kind of science . Volume III / / Leon O. Chua
| A nonlinear dynamics perspective of Wolfram's new kind of science . Volume III / / Leon O. Chua |
| Autore | Chua Leon O. <1936-> |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, c2009 |
| Descrizione fisica | 1 online resource (357 pages) |
| Disciplina |
006.32
511.3/5 511.35 |
| Collana | World Scientific series on nonlinear science. Series A, Monographs and treatises |
| Soggetto topico |
Cellular automata
Computational complexity Dynamics Nonlinear theories |
| ISBN |
1-282-75753-9
9786612757532 981-283-794-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS; Volume III; Chapter 1. Isles of Eden; 1. Recap of Main Results from Parts I to VI; 1.1. Local rules and Boolean cubes; 1.2. Threshold of complexity; 1.3. Only 88 local rules are independent; 1.4. Robust characterization of 70 independent local rules; 1.4.1. Steady-state behavior 1: Period-1 attractors or period-1 isles of Eden; 1.4.2. Steady-state behavior 2: Period-2 attractors or period-2 isles of Eden; 1.4.3. Steady-state behavior 3: Period-3 attractors; 1.4.4. Steady-state behavior 4: Bernoulli στ -shift attractors or isles of Eden
1.4.5. There are ten complex Bernoulli and eight hyper Bernoulli shift rules2. Basin Tree Diagrams of Ten Complex Bernoulli Shift Rules; 2.1. Basin of attraction and basin trees; 2.2. Garden of Eden; 2.3. Isle of Eden; 2.4. Gallery of basin tree diagrams; 2.4.1. Highlights from Rule 18; 2.4.2. Highlights from Rule 22; 2.4.3. Highlights from Rule 54; 2.4.4. Highlights from Rule 73; 2.4.5. Highlights from Rule 90; 2.4.6. Highlights from Rule 105; 2.4.7. Highlights from Rule 122; 2.4.8. Highlights from Rule 126; 2.4.9. Highlights from Rule 146; 2.4.10. Highlights from Rule 150 3. Global Analysis of Local Rule 903.1. Ru1e 90 has no Isle of Eden; 3.2. Period of Rule 90 grows with L; 3.3. Global state-transition formula for rule 90; 3.4. Periodicity constraints of rule 90; 4. Global Analysis of Local Rules 150 and 105; 4.1. Rules 150 and 105 are composed of Isles of Eden if L is not divisible by 3; 4.2. Global state-transition formula for Rules 150 and 105; 4.3. Rules 150 and 105 are globally quasi-equivalent; 5. Concluding Remarks; Chapter 2. More Isles of Eden; 1. The Beginning of the End; 2. Basin Tree Diagrams of Eight Hyper Bernoulli Shift Rules 2.1. Highlights from rule 262.2. Highlights from rule 30; 2.3. Highlights from rule 41; 2.4. Highlights from rule 45; 2.5. Highlights from rule 60; 2.6. Highlights from rule 106; 2.7. Highlights from rule 110; 2.8. Highlights from rule 154; 3. Global Analysis of Local Rule 60; 3.1. Rule 60 has no Isles of Eden; 3.2. Period of rule 60 grows with L; 3.3. Global state-transition formula for rule 60; 3.4. Periodicity constraints of rule 60; 4. Global Analysis of Local Rule 154 and 45; 5. Dense Isles-of-Eden Property; 5.1. Notations and de.nitions; 5.2. Four basic lemmas 5.3. Locating points with multiple preimages5.4. Constructing the Isles of Eden digraph; 5.5. The full Isles of Eden digraph; 5.6. Nondegenerate cycles and Isles of Eden; 5.7. Effect of global equivalence transformations on Isles of Eden digraphs; 5.8. Dense Isles of Eden from rule 45 and rule 154; 5.8.1. Another Proof for Theorem 5.2; 5.8.2. Isles-of-Eden density criterion for rule 154; 5.8.3. Another Proof for Theorem 5.3; 5.9. Dense Isles of Eden from rule 105 and rule 150; 5.10. Gallery of Isles of Eden digraphs of eight representative local rules; 6. Concluding Remarks Errata for Volume I |
| Record Nr. | UNINA-9910455870603321 |
|
Chua Leon O. <1936->
|
||
| Hackensack, N.J., : World Scientific, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A nonlinear dynamics perspective of Wolfram's new kind of science . Volume III / / Leon O. Chua
| A nonlinear dynamics perspective of Wolfram's new kind of science . Volume III / / Leon O. Chua |
| Autore | Chua Leon O. <1936-> |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, c2009 |
| Descrizione fisica | 1 online resource (357 pages) |
| Disciplina |
006.32
511.3/5 511.35 |
| Collana | World Scientific series on nonlinear science. Series A, Monographs and treatises |
| Soggetto topico |
Cellular automata
Computational complexity Dynamics Nonlinear theories |
| ISBN |
1-282-75753-9
9786612757532 981-283-794-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS; Volume III; Chapter 1. Isles of Eden; 1. Recap of Main Results from Parts I to VI; 1.1. Local rules and Boolean cubes; 1.2. Threshold of complexity; 1.3. Only 88 local rules are independent; 1.4. Robust characterization of 70 independent local rules; 1.4.1. Steady-state behavior 1: Period-1 attractors or period-1 isles of Eden; 1.4.2. Steady-state behavior 2: Period-2 attractors or period-2 isles of Eden; 1.4.3. Steady-state behavior 3: Period-3 attractors; 1.4.4. Steady-state behavior 4: Bernoulli στ -shift attractors or isles of Eden
1.4.5. There are ten complex Bernoulli and eight hyper Bernoulli shift rules2. Basin Tree Diagrams of Ten Complex Bernoulli Shift Rules; 2.1. Basin of attraction and basin trees; 2.2. Garden of Eden; 2.3. Isle of Eden; 2.4. Gallery of basin tree diagrams; 2.4.1. Highlights from Rule 18; 2.4.2. Highlights from Rule 22; 2.4.3. Highlights from Rule 54; 2.4.4. Highlights from Rule 73; 2.4.5. Highlights from Rule 90; 2.4.6. Highlights from Rule 105; 2.4.7. Highlights from Rule 122; 2.4.8. Highlights from Rule 126; 2.4.9. Highlights from Rule 146; 2.4.10. Highlights from Rule 150 3. Global Analysis of Local Rule 903.1. Ru1e 90 has no Isle of Eden; 3.2. Period of Rule 90 grows with L; 3.3. Global state-transition formula for rule 90; 3.4. Periodicity constraints of rule 90; 4. Global Analysis of Local Rules 150 and 105; 4.1. Rules 150 and 105 are composed of Isles of Eden if L is not divisible by 3; 4.2. Global state-transition formula for Rules 150 and 105; 4.3. Rules 150 and 105 are globally quasi-equivalent; 5. Concluding Remarks; Chapter 2. More Isles of Eden; 1. The Beginning of the End; 2. Basin Tree Diagrams of Eight Hyper Bernoulli Shift Rules 2.1. Highlights from rule 262.2. Highlights from rule 30; 2.3. Highlights from rule 41; 2.4. Highlights from rule 45; 2.5. Highlights from rule 60; 2.6. Highlights from rule 106; 2.7. Highlights from rule 110; 2.8. Highlights from rule 154; 3. Global Analysis of Local Rule 60; 3.1. Rule 60 has no Isles of Eden; 3.2. Period of rule 60 grows with L; 3.3. Global state-transition formula for rule 60; 3.4. Periodicity constraints of rule 60; 4. Global Analysis of Local Rule 154 and 45; 5. Dense Isles-of-Eden Property; 5.1. Notations and de.nitions; 5.2. Four basic lemmas 5.3. Locating points with multiple preimages5.4. Constructing the Isles of Eden digraph; 5.5. The full Isles of Eden digraph; 5.6. Nondegenerate cycles and Isles of Eden; 5.7. Effect of global equivalence transformations on Isles of Eden digraphs; 5.8. Dense Isles of Eden from rule 45 and rule 154; 5.8.1. Another Proof for Theorem 5.2; 5.8.2. Isles-of-Eden density criterion for rule 154; 5.8.3. Another Proof for Theorem 5.3; 5.9. Dense Isles of Eden from rule 105 and rule 150; 5.10. Gallery of Isles of Eden digraphs of eight representative local rules; 6. Concluding Remarks Errata for Volume I |
| Record Nr. | UNINA-9910780725503321 |
|
Chua Leon O. <1936->
|
||
| Hackensack, N.J., : World Scientific, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A nonlinear dynamics perspective of Wolfram's new kind of science . Volume III / / Leon O. Chua
| A nonlinear dynamics perspective of Wolfram's new kind of science . Volume III / / Leon O. Chua |
| Autore | Chua Leon O. <1936-> |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, c2009 |
| Descrizione fisica | 1 online resource (357 pages) |
| Disciplina |
006.32
511.3/5 511.35 |
| Collana | World Scientific series on nonlinear science. Series A, Monographs and treatises |
| Soggetto topico |
Cellular automata
Computational complexity Dynamics Nonlinear theories |
| ISBN |
1-282-75753-9
9786612757532 981-283-794-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS; Volume III; Chapter 1. Isles of Eden; 1. Recap of Main Results from Parts I to VI; 1.1. Local rules and Boolean cubes; 1.2. Threshold of complexity; 1.3. Only 88 local rules are independent; 1.4. Robust characterization of 70 independent local rules; 1.4.1. Steady-state behavior 1: Period-1 attractors or period-1 isles of Eden; 1.4.2. Steady-state behavior 2: Period-2 attractors or period-2 isles of Eden; 1.4.3. Steady-state behavior 3: Period-3 attractors; 1.4.4. Steady-state behavior 4: Bernoulli στ -shift attractors or isles of Eden
1.4.5. There are ten complex Bernoulli and eight hyper Bernoulli shift rules2. Basin Tree Diagrams of Ten Complex Bernoulli Shift Rules; 2.1. Basin of attraction and basin trees; 2.2. Garden of Eden; 2.3. Isle of Eden; 2.4. Gallery of basin tree diagrams; 2.4.1. Highlights from Rule 18; 2.4.2. Highlights from Rule 22; 2.4.3. Highlights from Rule 54; 2.4.4. Highlights from Rule 73; 2.4.5. Highlights from Rule 90; 2.4.6. Highlights from Rule 105; 2.4.7. Highlights from Rule 122; 2.4.8. Highlights from Rule 126; 2.4.9. Highlights from Rule 146; 2.4.10. Highlights from Rule 150 3. Global Analysis of Local Rule 903.1. Ru1e 90 has no Isle of Eden; 3.2. Period of Rule 90 grows with L; 3.3. Global state-transition formula for rule 90; 3.4. Periodicity constraints of rule 90; 4. Global Analysis of Local Rules 150 and 105; 4.1. Rules 150 and 105 are composed of Isles of Eden if L is not divisible by 3; 4.2. Global state-transition formula for Rules 150 and 105; 4.3. Rules 150 and 105 are globally quasi-equivalent; 5. Concluding Remarks; Chapter 2. More Isles of Eden; 1. The Beginning of the End; 2. Basin Tree Diagrams of Eight Hyper Bernoulli Shift Rules 2.1. Highlights from rule 262.2. Highlights from rule 30; 2.3. Highlights from rule 41; 2.4. Highlights from rule 45; 2.5. Highlights from rule 60; 2.6. Highlights from rule 106; 2.7. Highlights from rule 110; 2.8. Highlights from rule 154; 3. Global Analysis of Local Rule 60; 3.1. Rule 60 has no Isles of Eden; 3.2. Period of rule 60 grows with L; 3.3. Global state-transition formula for rule 60; 3.4. Periodicity constraints of rule 60; 4. Global Analysis of Local Rule 154 and 45; 5. Dense Isles-of-Eden Property; 5.1. Notations and de.nitions; 5.2. Four basic lemmas 5.3. Locating points with multiple preimages5.4. Constructing the Isles of Eden digraph; 5.5. The full Isles of Eden digraph; 5.6. Nondegenerate cycles and Isles of Eden; 5.7. Effect of global equivalence transformations on Isles of Eden digraphs; 5.8. Dense Isles of Eden from rule 45 and rule 154; 5.8.1. Another Proof for Theorem 5.2; 5.8.2. Isles-of-Eden density criterion for rule 154; 5.8.3. Another Proof for Theorem 5.3; 5.9. Dense Isles of Eden from rule 105 and rule 150; 5.10. Gallery of Isles of Eden digraphs of eight representative local rules; 6. Concluding Remarks Errata for Volume I |
| Record Nr. | UNINA-9910810531903321 |
|
Chua Leon O. <1936->
|
||
| Hackensack, N.J., : World Scientific, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||