Nonlinear dynamics of piecewise constant systems and implementation of piecewise constant arguments:
Piecewise constant systems exist in widely expanded areas such as engineering, physics, and mathematics. Extraordinary and complex characteristics of piecewise constant systems have been reported in recent years. This book provides the methodologies for analyzing and assessing nonlinear piecewise co...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2008
|
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | Piecewise constant systems exist in widely expanded areas such as engineering, physics, and mathematics. Extraordinary and complex characteristics of piecewise constant systems have been reported in recent years. This book provides the methodologies for analyzing and assessing nonlinear piecewise constant systems on a theoretically and practically sound basis. Recently developed approaches for theoretically analyzing and numerically solving the nonlinear piecewise constant dynamic systems are reviewed. A new greatest integer argument with a piecewise constant function is utilized for nonlinear dynamic analyses and for establishing a novel criterion in diagnosing irregular and chaotic solutions from the regular solutions of a nonlinear dynamic system. The newly established piecewise constantization methodology and its implementation in analytically solving for nonlinear dynamic problems are also presented |
| Beschreibung: | xvi, 328 p. ill. (some col.) |
| ISBN: | 9789812818515 |
Internformat
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| 520 | |a Piecewise constant systems exist in widely expanded areas such as engineering, physics, and mathematics. Extraordinary and complex characteristics of piecewise constant systems have been reported in recent years. This book provides the methodologies for analyzing and assessing nonlinear piecewise constant systems on a theoretically and practically sound basis. Recently developed approaches for theoretically analyzing and numerically solving the nonlinear piecewise constant dynamic systems are reviewed. A new greatest integer argument with a piecewise constant function is utilized for nonlinear dynamic analyses and for establishing a novel criterion in diagnosing irregular and chaotic solutions from the regular solutions of a nonlinear dynamic system. The newly established piecewise constantization methodology and its implementation in analytically solving for nonlinear dynamic problems are also presented | ||
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Datensatz im Suchindex
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-search | 515/.39 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044636679 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T07:57:49Z |
| institution | BVB |
| isbn | 9789812818515 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030034652 |
| oclc_num | 1012653915 |
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| owner | DE-92 |
| owner_facet | DE-92 |
| physical | xvi, 328 p. ill. (some col.) |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | World Scientific Pub. Co. |
| record_format | marc |
| spelling | Dai, Liming 1961- Verfasser aut Nonlinear dynamics of piecewise constant systems and implementation of piecewise constant arguments Liming Dai Singapore World Scientific Pub. Co. c2008 xvi, 328 p. ill. (some col.) txt rdacontent c rdamedia cr rdacarrier Piecewise constant systems exist in widely expanded areas such as engineering, physics, and mathematics. Extraordinary and complex characteristics of piecewise constant systems have been reported in recent years. This book provides the methodologies for analyzing and assessing nonlinear piecewise constant systems on a theoretically and practically sound basis. Recently developed approaches for theoretically analyzing and numerically solving the nonlinear piecewise constant dynamic systems are reviewed. A new greatest integer argument with a piecewise constant function is utilized for nonlinear dynamic analyses and for establishing a novel criterion in diagnosing irregular and chaotic solutions from the regular solutions of a nonlinear dynamic system. The newly established piecewise constantization methodology and its implementation in analytically solving for nonlinear dynamic problems are also presented Nonlinear theories Dynamics http://www.worldscientific.com/worldscibooks/10.1142/6882#t=toc Verlag URL des Erstveroeffentlichers Volltext |
| spellingShingle | Dai, Liming 1961- Nonlinear dynamics of piecewise constant systems and implementation of piecewise constant arguments Nonlinear theories Dynamics |
| title | Nonlinear dynamics of piecewise constant systems and implementation of piecewise constant arguments |
| title_auth | Nonlinear dynamics of piecewise constant systems and implementation of piecewise constant arguments |
| title_exact_search | Nonlinear dynamics of piecewise constant systems and implementation of piecewise constant arguments |
| title_full | Nonlinear dynamics of piecewise constant systems and implementation of piecewise constant arguments Liming Dai |
| title_fullStr | Nonlinear dynamics of piecewise constant systems and implementation of piecewise constant arguments Liming Dai |
| title_full_unstemmed | Nonlinear dynamics of piecewise constant systems and implementation of piecewise constant arguments Liming Dai |
| title_short | Nonlinear dynamics of piecewise constant systems and implementation of piecewise constant arguments |
| title_sort | nonlinear dynamics of piecewise constant systems and implementation of piecewise constant arguments |
| topic | Nonlinear theories Dynamics |
| topic_facet | Nonlinear theories Dynamics |
| url | http://www.worldscientific.com/worldscibooks/10.1142/6882#t=toc |
| work_keys_str_mv | AT dailiming nonlineardynamicsofpiecewiseconstantsystemsandimplementationofpiecewiseconstantarguments |