Elegant chaos :: algebraically simple chaotic flows /
This heavily illustrated book collects in one source most of the mathematically simple systems of differential equations whose solutions are chaotic. It includes the historically important systems of van der Pol, Duffing, Ueda, Lorenz, Rossler, and many others, but it goes on to show that there are...
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| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New Jersey :
World Scientific,
©2010.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This heavily illustrated book collects in one source most of the mathematically simple systems of differential equations whose solutions are chaotic. It includes the historically important systems of van der Pol, Duffing, Ueda, Lorenz, Rossler, and many others, but it goes on to show that there are many other systems that are simpler and more elegant. Many of these systems have been only recently discovered and are not widely known. Most cases include plots of the attractor and calculations of the spectra of Lyapunov exponents. Some important cases include graphs showing the route to chaos. The. |
| Beschreibung: | 1 online resource (xv, 285 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 265-280) and index. |
| ISBN: | 9789812838827 9812838821 |
Internformat
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| 245 | 1 | 0 | |a Elegant chaos : |b algebraically simple chaotic flows / |c Julien Clinton Sprott. |
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| 520 | |a This heavily illustrated book collects in one source most of the mathematically simple systems of differential equations whose solutions are chaotic. It includes the historically important systems of van der Pol, Duffing, Ueda, Lorenz, Rossler, and many others, but it goes on to show that there are many other systems that are simpler and more elegant. Many of these systems have been only recently discovered and are not widely known. Most cases include plots of the attractor and calculations of the spectra of Lyapunov exponents. Some important cases include graphs showing the route to chaos. The. | ||
| 505 | 0 | |a Preface; Contents; List of Tables; 1. Fundamentals; 2. Periodically Forced Systems; 3. Autonomous Dissipative Systems; 4. Autonomous Conservative Systems; 5. Low-dimensional Systems (D 3); 7. Circulant Systems; 8. Spatiotemporal Systems; 9. Time-Delay Systems; 10. Chaotic Electrical Circuits; Bibliography; Index | |
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| 650 | 7 | |a Flows (Differentiable dynamical systems) |2 fast | |
| 650 | 7 | |a Lyapunov exponents |2 fast | |
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| author | Sprott, Julien C. |
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| contents | Preface; Contents; List of Tables; 1. Fundamentals; 2. Periodically Forced Systems; 3. Autonomous Dissipative Systems; 4. Autonomous Conservative Systems; 5. Low-dimensional Systems (D 3); 7. Circulant Systems; 8. Spatiotemporal Systems; 9. Time-Delay Systems; 10. Chaotic Electrical Circuits; Bibliography; Index |
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| discipline | Mathematik |
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| id | ZDB-4-EBA-ocn670430585 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:17:34Z |
| institution | BVB |
| isbn | 9789812838827 9812838821 |
| language | English |
| oclc_num | 670430585 |
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| physical | 1 online resource (xv, 285 pages) : illustrations |
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| spelling | Sprott, Julien C. Elegant chaos : algebraically simple chaotic flows / Julien Clinton Sprott. New Jersey : World Scientific, ©2010. 1 online resource (xv, 285 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references (pages 265-280) and index. Print version record. This heavily illustrated book collects in one source most of the mathematically simple systems of differential equations whose solutions are chaotic. It includes the historically important systems of van der Pol, Duffing, Ueda, Lorenz, Rossler, and many others, but it goes on to show that there are many other systems that are simpler and more elegant. Many of these systems have been only recently discovered and are not widely known. Most cases include plots of the attractor and calculations of the spectra of Lyapunov exponents. Some important cases include graphs showing the route to chaos. The. Preface; Contents; List of Tables; 1. Fundamentals; 2. Periodically Forced Systems; 3. Autonomous Dissipative Systems; 4. Autonomous Conservative Systems; 5. Low-dimensional Systems (D 3); 7. Circulant Systems; 8. Spatiotemporal Systems; 9. Time-Delay Systems; 10. Chaotic Electrical Circuits; Bibliography; Index Flows (Differentiable dynamical systems) http://id.loc.gov/authorities/subjects/sh88005228 Lyapunov exponents. http://id.loc.gov/authorities/subjects/sh91004822 Chaotic behavior in systems Mathematics. Flots (Dynamique différentiable) Exposants de Liapounov. Chaos Mathématiques. MATHEMATICS Differential Equations General. bisacsh Chaotic behavior in systems Mathematics fast Flows (Differentiable dynamical systems) fast Lyapunov exponents fast Print version: Sprott, Julien C. Elegant chaos. New Jersey : World Scientific, ©2010 9789812838810 (DLC) 2010282089 (OCoLC)619662421 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=340752 Volltext |
| spellingShingle | Sprott, Julien C. Elegant chaos : algebraically simple chaotic flows / Preface; Contents; List of Tables; 1. Fundamentals; 2. Periodically Forced Systems; 3. Autonomous Dissipative Systems; 4. Autonomous Conservative Systems; 5. Low-dimensional Systems (D 3); 7. Circulant Systems; 8. Spatiotemporal Systems; 9. Time-Delay Systems; 10. Chaotic Electrical Circuits; Bibliography; Index Flows (Differentiable dynamical systems) http://id.loc.gov/authorities/subjects/sh88005228 Lyapunov exponents. http://id.loc.gov/authorities/subjects/sh91004822 Chaotic behavior in systems Mathematics. Flots (Dynamique différentiable) Exposants de Liapounov. Chaos Mathématiques. MATHEMATICS Differential Equations General. bisacsh Chaotic behavior in systems Mathematics fast Flows (Differentiable dynamical systems) fast Lyapunov exponents fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh88005228 http://id.loc.gov/authorities/subjects/sh91004822 |
| title | Elegant chaos : algebraically simple chaotic flows / |
| title_auth | Elegant chaos : algebraically simple chaotic flows / |
| title_exact_search | Elegant chaos : algebraically simple chaotic flows / |
| title_full | Elegant chaos : algebraically simple chaotic flows / Julien Clinton Sprott. |
| title_fullStr | Elegant chaos : algebraically simple chaotic flows / Julien Clinton Sprott. |
| title_full_unstemmed | Elegant chaos : algebraically simple chaotic flows / Julien Clinton Sprott. |
| title_short | Elegant chaos : |
| title_sort | elegant chaos algebraically simple chaotic flows |
| title_sub | algebraically simple chaotic flows / |
| topic | Flows (Differentiable dynamical systems) http://id.loc.gov/authorities/subjects/sh88005228 Lyapunov exponents. http://id.loc.gov/authorities/subjects/sh91004822 Chaotic behavior in systems Mathematics. Flots (Dynamique différentiable) Exposants de Liapounov. Chaos Mathématiques. MATHEMATICS Differential Equations General. bisacsh Chaotic behavior in systems Mathematics fast Flows (Differentiable dynamical systems) fast Lyapunov exponents fast |
| topic_facet | Flows (Differentiable dynamical systems) Lyapunov exponents. Chaotic behavior in systems Mathematics. Flots (Dynamique différentiable) Exposants de Liapounov. Chaos Mathématiques. MATHEMATICS Differential Equations General. Chaotic behavior in systems Mathematics Lyapunov exponents |
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