Title :
Short periodic orbits and topological entropy for the Chua´s circuit
Author :
Galias, Zbigniew
Author_Institution :
Dept. of Electr. Eng., AGH, Krakow
Abstract :
In this work, an analysis of Chua´s circuit in terms of short periodic orbits is carried out. The circuit is considered with two sets of parameter values, for which the Roessler-type and the double-scroll attractors are observed. Using the number of short periodic orbits and their periods, we find estimates for the topological entropy of the Poincare map and the flow
Keywords :
Chua´s circuit; Newton method; entropy; network topology; nonlinear network analysis; Chua circuit analysis; Poincare map; Roessler-type attractors; double-scroll attractors; short periodic orbits; topological entropy; Arithmetic; Circuit analysis; Entropy; Monitoring; Newton method; Nonlinear systems; Orbits; Search methods; Trajectory; Vectors;
Conference_Titel :
Circuits and Systems, 2006. ISCAS 2006. Proceedings. 2006 IEEE International Symposium on
Conference_Location :
Island of Kos
Print_ISBN :
0-7803-9389-9
DOI :
10.1109/ISCAS.2006.1692923