Control of the saddle-node and transcritical bifurcations

Fernando Verduzco*

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

1 Scopus citations

Abstract

In this paper, the control of the saddle-node and transcritical bifurcations in nonlinear systems is treated. A new approach is presented to rind sufficient conditions in terms of the original vector fields. The analysis of the system dynamics is reduced to dimension one through the center manifold theorem.

Original languageEnglish
Pages (from-to)681-684
Number of pages4
JournalIFAC Proceedings Volumes (IFAC-PapersOnline)
Volume37
Issue number13
DOIs
StatePublished - 2004
Event6th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2004 - Stuttgart, Germany
Duration: 1 Sep 20043 Sep 2004

Bibliographical note

Publisher Copyright:
Copyright © 2004 IFAC.

Keywords

  • Bifurcation control
  • Center manifold
  • Saddle-node bifurcation
  • Transcritical bifurcation

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