Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 23-41 |
| Number of pages | 19 |
| Journal | International Journal of Bifurcation and Chaos |
| Volume | 12 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2002 |
Funding
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.
| Funders | Funder number |
|---|---|
| Katholieke Universiteit Leu-ven | |
| Interdisciplinary Center of Neural Networks | |
| National Fund for Scienti c Research FWO |