Algorithmic Contributions To The Qualitative Analysis

Algorithmic Contributions To The Qualitative Analysis

by Essam Othman Abdel-Rahman Al-Hefedy
     
 

This thesis deals with algorithmic local and global techniques in the qualitative analysis of autonomous parametric dynamical systems. Specifically, algorithms for symbolic parametric investigations of the existence of limit cycles are developed and investigated and applied to several applications, especially from life science informatics.In order to investigate the…  See more details below

Overview

This thesis deals with algorithmic local and global techniques in the qualitative analysis of autonomous parametric dynamical systems. Specifically, algorithms for symbolic parametric investigations of the existence of limit cycles are developed and investigated and applied to several applications, especially from life science informatics.In order to investigate the global question of the absence of oscillations some generalizations of the classical Bendixson-Dulac criterion, which is asufficient criterion for the exclusion of limit cycles only, to higher dimensions are made algorithmic.

Product Details

ISBN-13:
9783845423517
Publisher:
AV Akademikerverlag GmbH & Co. KG.
Publication date:
07/29/2011
Pages:
124
Product dimensions:
6.00(w) x 9.00(h) x 0.29(d)

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