THE first Lyapunov coefficient for a class of systems

Fernando Verduzco G.*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

5 Scopus citations

Abstract

in this paper the first Lyapunov coefficient of the emerging periodic solution in the Hopf bifurcation is established. A change of coordinates is introduced to eliminate some quadratic and cubic terms in the dynamic equations and the center manifold theory is used to reduce the dynamics to dimension two.

Original languageEnglish
Title of host publicationProceedings of the 16th IFAC World Congress, IFAC 2005
Pages1205-1209
Number of pages5
StatePublished - 2005
Event16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005 - Prague, Czech Republic
Duration: 3 Jul 20058 Jul 2005

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Volume16
ISSN (Print)1474-6670

Conference

Conference16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005
Country/TerritoryCzech Republic
CityPrague
Period3/07/058/07/05

Keywords

  • Center manifold
  • First Lyapunov coefficient
  • Hopf bifurcation

Fingerprint

Dive into the research topics of 'THE first Lyapunov coefficient for a class of systems'. Together they form a unique fingerprint.

Cite this