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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2010
|
| Schlagworte: | |
| Online-Zugang: | FHN01 URL des Erstveroeffentlichers |
| 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 book includes many cases not previously published as well as examples of simple electronic circuits that exhibit chaos. No existing book thus far focuses on mathematically elegant chaotic systems. This book should therefore be of interest to chaos researchers looking for simple systems to use in their studies, to instructors who want examples to teach and motivate students, and to students doing independent study |
| Beschreibung: | xv, 285 p. ill |
| ISBN: | 9789812838827 |
Internformat
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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 book includes many cases not previously published as well as examples of simple electronic circuits that exhibit chaos. No existing book thus far focuses on mathematically elegant chaotic systems. This book should therefore be of interest to chaos researchers looking for simple systems to use in their studies, to instructors who want examples to teach and motivate students, and to students doing independent study | ||
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Datensatz im Suchindex
| _version_ | 1804178052522967040 |
|---|---|
| any_adam_object | |
| author | Sprott, Julien C. |
| author_facet | Sprott, Julien C. |
| author_role | aut |
| author_sort | Sprott, Julien C. |
| author_variant | j c s jc jcs |
| building | Verbundindex |
| bvnumber | BV044637192 |
| classification_rvk | UG 3900 |
| collection | ZDB-124-WOP |
| ctrlnum | (ZDB-124-WOP)00000951 (OCoLC)1012683611 (DE-599)BVBBV044637192 |
| dewey-full | 515.39 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.39 |
| dewey-search | 515.39 |
| dewey-sort | 3515.39 |
| dewey-tens | 510 - Mathematics |
| discipline | Physik Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044637192 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:50Z |
| institution | BVB |
| isbn | 9789812838827 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030035163 |
| oclc_num | 1012683611 |
| open_access_boolean | |
| owner | DE-92 |
| owner_facet | DE-92 |
| physical | xv, 285 p. ill |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | World Scientific Pub. Co. |
| record_format | marc |
| spelling | Sprott, Julien C. Verfasser aut Elegant chaos algebraically simple chaotic flows Julien Clinton Sprott Singapore World Scientific Pub. Co. c2010 xv, 285 p. ill txt rdacontent c rdamedia cr rdacarrier 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 book includes many cases not previously published as well as examples of simple electronic circuits that exhibit chaos. No existing book thus far focuses on mathematically elegant chaotic systems. This book should therefore be of interest to chaos researchers looking for simple systems to use in their studies, to instructors who want examples to teach and motivate students, and to students doing independent study Lyapunov exponents Flows (Differentiable dynamical systems) Chaotic behavior in systems / Mathematics Chaotisches System (DE-588)4316104-2 gnd rswk-swf Chaotisches System (DE-588)4316104-2 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789812838810 http://www.worldscientific.com/worldscibooks/10.1142/7183#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Sprott, Julien C. Elegant chaos algebraically simple chaotic flows Lyapunov exponents Flows (Differentiable dynamical systems) Chaotic behavior in systems / Mathematics Chaotisches System (DE-588)4316104-2 gnd |
| subject_GND | (DE-588)4316104-2 |
| 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 | Lyapunov exponents Flows (Differentiable dynamical systems) Chaotic behavior in systems / Mathematics Chaotisches System (DE-588)4316104-2 gnd |
| topic_facet | Lyapunov exponents Flows (Differentiable dynamical systems) Chaotic behavior in systems / Mathematics Chaotisches System |
| url | http://www.worldscientific.com/worldscibooks/10.1142/7183#t=toc |
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