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Families of scroll grid attractors

  • KU Leuven

Araştırma sonucu: Dergiye katkıMakalebilirkişi

291 Atıf (Scopus)

Özet

In this paper a new family of scroll grid attractors is presented. These families are classified into three called 1D-, 2D- and 3D-grid scroll attractors depending on the location of the equilibrium points in state space. The scrolls generated from 1D-, 2D- and 3D-grid scroll attractors are located around the equilibrium points on a line, on a plane or in 3D, respectively. Due to the generalization of the nonlinear characteristics, it is possible to increase the number of scrolls in all state variable directions. A number of strange attractors from the scroll grid attractor families are presented. They have been experimentally verified using current feedback opamps. Also Lur'e representations are given for the scroll grid attractor families.

Orijinal dilİngilizce
Sayfa (başlangıç-bitiş)23-41
Sayfa sayısı19
DergiInternational Journal of Bifurcation and Chaos
Hacim12
Basın numarası1
DOI'lar
Yayın durumuYayınlandı - 2002

Finansman

This research work was carried out at the ESAT laboratory and the Interdisciplinary Center of Neural Networks ICNN of the Katholieke Universiteit Leu-ven, in the framework of the Belgian Programme on Interuniversity Poles of Attraction, initiated by the Belgian State, Prime Minister’s Office for Science, Technology and Culture (IUAP P4-02), the Concerted Action Project MEFISTO of the Flemish Community, the FWO project Collective Behavior and Optimization: an Interdisciplinary Approach and ESPRIT IV 27077 (DICTAM). Johan Suykens is a postdoctoral researcher with the National Fund for Scienti c Research FWO { Flanders.

Finansörler
Katholieke Universiteit Leu-ven
Interdisciplinary Center of Neural Networks
National Fund for Scienti c Research FWO

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