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Nonlinear Dynamics of Piecewise Constant Systems and Implementation of Piecewise Constant Arguments

Dai Liming
4.9/5 (21208 ratings)
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.Contents: Fundamentals of Conventional and Piecewise Constant SystemsPreliminary Theorems and Techniques for Analysis of Nonlinear Piecewise Constant SystemsPiecewise Constant Dynamical Systems and Their BehaviorAnalytical and Semi-Analytical Solution Development with Piecewise Constant ArgumentsNumerical and Improved Semi-Analytical Approaches Implementing Piecewise Constant ArgumentsApplication of P-T Method on Multi-Degree-of-Freedom Nonlinear Dynamic SystemsPeriodicity-Ratio and Its Application in Diagnosing Irregularities of Nonlinear SystemsReadership: Graduate students, engineers, scientists and academics interested in nonlinear dynamical systems.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Nonlinear Dynamics of Piecewise Constant Systems and Implementation of Piecewise Constant Arguments. To get started finding Nonlinear Dynamics of Piecewise Constant Systems and Implementation of Piecewise Constant Arguments, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.
Pages
345
Format
PDF, EPUB & Kindle Edition
Publisher
World Scientific Publishing Company
Release
2014
ISBN
1299604749

Nonlinear Dynamics of Piecewise Constant Systems and Implementation of Piecewise Constant Arguments

Dai Liming
4.4/5 (1290744 ratings)
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.Contents: Fundamentals of Conventional and Piecewise Constant SystemsPreliminary Theorems and Techniques for Analysis of Nonlinear Piecewise Constant SystemsPiecewise Constant Dynamical Systems and Their BehaviorAnalytical and Semi-Analytical Solution Development with Piecewise Constant ArgumentsNumerical and Improved Semi-Analytical Approaches Implementing Piecewise Constant ArgumentsApplication of P-T Method on Multi-Degree-of-Freedom Nonlinear Dynamic SystemsPeriodicity-Ratio and Its Application in Diagnosing Irregularities of Nonlinear SystemsReadership: Graduate students, engineers, scientists and academics interested in nonlinear dynamical systems.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Nonlinear Dynamics of Piecewise Constant Systems and Implementation of Piecewise Constant Arguments. To get started finding Nonlinear Dynamics of Piecewise Constant Systems and Implementation of Piecewise Constant Arguments, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.
Pages
345
Format
PDF, EPUB & Kindle Edition
Publisher
World Scientific Publishing Company
Release
2014
ISBN
1299604749

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