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

Konstantin E. Starkov, Luis Eduardo Vargas

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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. © 2007 World Scientific Publishing Co. Pte. Ltd.
Original languageAmerican English
Pages11-20
Number of pages8
StatePublished - 1 Jan 2007
EventProceedings of the 2006 International Conference - Advances in Dynamics, Instrumentation and Control, CDIC 2006 -
Duration: 1 Jan 2007 → …

Conference

ConferenceProceedings of the 2006 International Conference - Advances in Dynamics, Instrumentation and Control, CDIC 2006
Period1/01/07 → …

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Starkov, K. E., & Vargas, L. E. (2007). Localization of compact invariant sets of the rikitake system and pikovsky-rabinovich-trakhtengertz system. 11-20. Paper presented at Proceedings of the 2006 International Conference - Advances in Dynamics, Instrumentation and Control, CDIC 2006, .
Starkov, Konstantin E. ; Vargas, Luis Eduardo. / Localization of compact invariant sets of the rikitake system and pikovsky-rabinovich-trakhtengertz system. Paper presented at Proceedings of the 2006 International Conference - Advances in Dynamics, Instrumentation and Control, CDIC 2006, .8 p.
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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. {\circledC} 2007 World Scientific Publishing Co. Pte. Ltd.",
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Starkov, KE & Vargas, LE 2007, 'Localization of compact invariant sets of the rikitake system and pikovsky-rabinovich-trakhtengertz system' Paper presented at Proceedings of the 2006 International Conference - Advances in Dynamics, Instrumentation and Control, CDIC 2006, 1/01/07, pp. 11-20.

Localization of compact invariant sets of the rikitake system and pikovsky-rabinovich-trakhtengertz system. / Starkov, Konstantin E.; Vargas, Luis Eduardo.

2007. 11-20 Paper presented at Proceedings of the 2006 International Conference - Advances in Dynamics, Instrumentation and Control, CDIC 2006, .

Research output: Contribution to conferencePaperResearch

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Starkov KE, Vargas LE. Localization of compact invariant sets of the rikitake system and pikovsky-rabinovich-trakhtengertz system. 2007. Paper presented at Proceedings of the 2006 International Conference - Advances in Dynamics, Instrumentation and Control, CDIC 2006, .