From rotating fluid masses and Ziegler's paradox to Pontryagin- and Krein-spaces and bifurcation theory

Oleg Kirillov*, Ferdinand Verhulst

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

Abstract

Four classical systems, the Kelvin gyrostat, the Maclaurin spheroids, the Brouwer rotating saddle, and the Ziegler pendulum have directly inspired development of the theory of Pontryagin and Krein spaces with indefinite metric and singularity theory as independent mathematical topics, not to mention stability theory and nonlinear dynamics.
Original languageEnglish
Title of host publicationNovel Mathematics Inspired by Industrial Challenges
EditorsMichael Günther, Wil Schilders
Place of PublicationCham
PublisherSpringer
Pages201-243
Number of pages46
Edition1
ISBN (Electronic)978-3-030-96173-2
ISBN (Print)978-3-030-96172-5, 978-3-030-96175-6
DOIs
Publication statusPublished - 31 Mar 2022

Publication series

NameMathematics in Industry
PublisherSpringer
Volume38
ISSN (Print)1612-3956
ISSN (Electronic)1612-3956

Fingerprint

Dive into the research topics of 'From rotating fluid masses and Ziegler's paradox to Pontryagin- and Krein-spaces and bifurcation theory'. Together they form a unique fingerprint.

Cite this