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 piecew...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore ; Hackensack, NJ :
World Scientific,
©2008.
|
| Schlagworte: | |
| Online-Zugang: | 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 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."--Jacket |
| Beschreibung: | 1 online resource (xvi, 328 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9789812818515 9812818510 |
Internformat
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| 245 | 1 | 0 | |a Nonlinear dynamics of piecewise constant systems and implementation of piecewise constant arguments / |c Liming Dai. |
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| 505 | 0 | |a Fundamentals of conventional and piecewise constant systems -- Preliminary theorems and techniques for analysis of nonlinear piecewise constant systems -- Piecewise constant dynamical systems and their behavior -- Analytical and semi-analytical solution development with piecewise constant arguments -- Numerical and improved semi-analytical approaches implementing piecewise constant arguments -- Application of P-T method on multi-degree-of-freedom nonlinear dynamic systems -- Periodicity-ratio and its application in diagnosing irregularities of nonlinear systems. | |
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| contents | Fundamentals of conventional and piecewise constant systems -- Preliminary theorems and techniques for analysis of nonlinear piecewise constant systems -- Piecewise constant dynamical systems and their behavior -- Analytical and semi-analytical solution development with piecewise constant arguments -- Numerical and improved semi-analytical approaches implementing piecewise constant arguments -- Application of P-T method on multi-degree-of-freedom nonlinear dynamic systems -- Periodicity-ratio and its application in diagnosing irregularities of nonlinear systems. |
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| indexdate | 2024-11-27T13:25:15Z |
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| spelling | Dai, Liming, 1961- https://id.oclc.org/worldcat/entity/E39PBJtcBdJHvvmMvxQ9p8khpP http://id.loc.gov/authorities/names/n2003001892 Nonlinear dynamics of piecewise constant systems and implementation of piecewise constant arguments / Liming Dai. Singapore ; Hackensack, NJ : World Scientific, ©2008. 1 online resource (xvi, 328 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references and index. Fundamentals of conventional and piecewise constant systems -- Preliminary theorems and techniques for analysis of nonlinear piecewise constant systems -- Piecewise constant dynamical systems and their behavior -- Analytical and semi-analytical solution development with piecewise constant arguments -- Numerical and improved semi-analytical approaches implementing piecewise constant arguments -- Application of P-T method on multi-degree-of-freedom nonlinear dynamic systems -- Periodicity-ratio and its application in diagnosing irregularities of nonlinear systems. "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 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."--Jacket Print version record. Nonlinear theories. http://id.loc.gov/authorities/subjects/sh85092332 Dynamics. http://id.loc.gov/authorities/subjects/sh85040316 Théories non linéaires. Dynamique. kinetics (dynamics) aat SCIENCE System Theory. bisacsh Dynamics fast Nonlinear theories fast Print version: Dai, Liming, 1961- Nonlinear dynamics of piecewise constant systems and implementation of piecewise constant arguments. Singapore ; Hackensack, NJ : World Scientific, ©2008 9789812818508 (DLC) 2009417518 (OCoLC)228372449 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=521170 Volltext |
| spellingShingle | Dai, Liming, 1961- Nonlinear dynamics of piecewise constant systems and implementation of piecewise constant arguments / Fundamentals of conventional and piecewise constant systems -- Preliminary theorems and techniques for analysis of nonlinear piecewise constant systems -- Piecewise constant dynamical systems and their behavior -- Analytical and semi-analytical solution development with piecewise constant arguments -- Numerical and improved semi-analytical approaches implementing piecewise constant arguments -- Application of P-T method on multi-degree-of-freedom nonlinear dynamic systems -- Periodicity-ratio and its application in diagnosing irregularities of nonlinear systems. Nonlinear theories. http://id.loc.gov/authorities/subjects/sh85092332 Dynamics. http://id.loc.gov/authorities/subjects/sh85040316 Théories non linéaires. Dynamique. kinetics (dynamics) aat SCIENCE System Theory. bisacsh Dynamics fast Nonlinear theories fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85092332 http://id.loc.gov/authorities/subjects/sh85040316 |
| 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. http://id.loc.gov/authorities/subjects/sh85092332 Dynamics. http://id.loc.gov/authorities/subjects/sh85040316 Théories non linéaires. Dynamique. kinetics (dynamics) aat SCIENCE System Theory. bisacsh Dynamics fast Nonlinear theories fast |
| topic_facet | Nonlinear theories. Dynamics. Théories non linéaires. Dynamique. kinetics (dynamics) SCIENCE System Theory. Dynamics Nonlinear theories |
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