| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4631654 | Applied Mathematics and Computation | 2010 | 8 Pages |
Abstract
In this paper, we provide a mathematical justification to explain the dynamics of chaotic system with periodic time-varying parameter which have been illustrated by some of us in a previous paper [1]. Based on an equivalent averaging model, it is proved that such a parametric time-varying system follows the same trajectory of its averaging model, provided that the parameter is varied periodically with a sufficiently high frequency. Some other observations related with this class of chaotic systems are also remarked in this paper.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yu Mao, Wallace K.S. Tang, Marius-F. Danca,