An averaging model for chaotic system with periodic time-varying parameter
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 355-362 |
| Journal / Publication | Applied Mathematics and Computation |
| Volume | 217 |
| Issue number | 1 |
| Publication status | Published - 1 Sept 2010 |
Link(s)
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.
Research Area(s)
- Averaging model, Chaotic system, Chen system, Chua's circuit, Parameter switching, Time-varying system
Citation Format(s)
An averaging model for chaotic system with periodic time-varying parameter. / Mao, Yu; Tang, Wallace K.S.; Danca, Marius-F.
In: Applied Mathematics and Computation, Vol. 217, No. 1, 01.09.2010, p. 355-362.
In: Applied Mathematics and Computation, Vol. 217, No. 1, 01.09.2010, p. 355-362.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
