Localization of compact invariant sets of the rikitake system and pikovsky-rabinovich-trakhtengertz system

Konstantin E. Starkov, Luis Eduardo Vargas

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

1 Scopus citations

Abstract

In this paper we describe localization results of all compact invariant sets of the Rikitake system and the Pikovski, Rabinovich and Trakhtengerts (PRT) system. We derive localizing sets corresponding different quadratic surfaces for the Rikitake system and ellipsoidal and conic localizing sets for the PRT system. Our approach is based on the solution of the first order extremum problem.

Original languageEnglish
Title of host publicationProceedings of the 2006 International Conference - Advances in Dynamics, Instrumentation and Control, CDIC 2006
PublisherWorld Scientific Publishing Co. Pte Ltd
Pages11-20
Number of pages10
ISBN (Print)9812708057, 9789812708052
DOIs
StatePublished - 2007
Event2nd International Conference on Dynamics, Instrumentation and Control, CDIC 2006 - Queretaro, Mexico
Duration: 13 Aug 200616 Aug 2006

Publication series

NameProceedings of the 2006 International Conference - Advances in Dynamics, Instrumentation and Control, CDIC 2006
Volume2

Conference

Conference2nd International Conference on Dynamics, Instrumentation and Control, CDIC 2006
Country/TerritoryMexico
CityQueretaro
Period13/08/0616/08/06

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