Computer Algebra Methods for Equivariant Dynamical Systems

• Main Author: Gatermann, Karin (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2000.
• Edition: 1st ed. 2000.
• Series: Lecture Notes in Mathematics, 1728
• Subjects: Algebra.; Computer science-Mathematics.; Computer mathematics.; Mathematical analysis.; Analysis (Mathematics).; Global analysis (Mathematics).; Manifolds (Mathematics).; Mathematics of Computing.; Computational Science and Engineering.; Math Applications in Computer Science.; Analysis.; Global Analysis and Analysis on Manifolds.
• Physical Description: XVIII, 162 p. online resource.
• ISBN: 9783540465195
• ISSN: 0075-8434 ;
• DOI: 10.1007/BFb0104059

This book starts with an overview of the research of Gröbner bases which have many applications in various areas of mathematics since they are a general tool for the investigation of polynomial systems. The next chapter describes algorithms in invariant theory including many examples and time tables. These techniques are applied in the chapters on symmetric bifurcation theory and equivariant dynamics. This combination of different areas of mathematics will be interesting to researchers in computational algebra and/or dynamics.