| Nonlinear Dynamics of Piecewise Constant Systems and Implementation of Piecewise Constant Arguments Contributor(s): Dai, Liming (Author) |
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ISBN: 9812818502 ISBN-13: 9789812818508 Publisher: World Scientific Publishing Company OUR PRICE: $140.60 Product Type: Hardcover Published: May 2008 |
| Additional Information |
| BISAC Categories: - Science | Chaotic Behavior In Systems - Mathematics | Differential Equations - General |
| Dewey: 515.392 |
| Physical Information: 1" H x 6.3" W x 9.1" (1.30 lbs) 344 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |