FAMILIES OF SCROLL GRID ATTRACTORS

Author:

YALÇIN MÜŞTAK E.1,SUYKENS JOHAN A. K.1,VANDEWALLE JOOS1,ÖZOĞUZ SERDAR2

Affiliation:

1. Katholieke Universiteit Leuven, Department of Electrical Engineering ESAT-SISTA, Kardinaal Mercierlaan 94, B-3001 Leuven, Belgium

2. Istanbul Technical University, Faculty of Electrical-Electronics Engineering, 80626, Maslak, Istanbul, Turkey

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

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