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. © 2010 Elsevier Inc. All rights reserved.
| Original language | English |
|---|---|
| Pages (from-to) | 355-362 |
| Journal | Applied Mathematics and Computation |
| Volume | 217 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Sept 2010 |
Research Keywords
- Averaging model
- Chaotic system
- Chen system
- Chua's circuit
- Parameter switching
- Time-varying system