Chaotification via arbitrarily small feedback controls : Theory, method, and applications
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 549-570 |
| Journal / Publication | International Journal of Bifurcation and Chaos in Applied Sciences and Engineering |
| Volume | 10 |
| Issue number | 3 |
| Publication status | Published - Mar 2000 |
| Externally published | Yes |
Link(s)
Abstract
In this paper, the problem of making a stable nonlinear autonomous system chaotic or enhancing the existing chaos of an originally chaotic system by using a small-amplitude feedback controller is studied. The designed controller is a linear feedback controller composed with a nonlinear modulo or sawtooth function, which can lead to uniformly bounded state vectors of the controlled system with positive Lyapunov exponents, thereby yielding chaotic dynamics. We mathematically prove that the controlled system is indeed chaotic in the sense of Li and Yorke. A few potential applications of the new chaotification algorithm are briefly discussed.
Citation Format(s)
Chaotification via arbitrarily small feedback controls: Theory, method, and applications. / Wang, Xiao Fan; Chen, Guanrong.
In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 10, No. 3, 03.2000, p. 549-570.
In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 10, No. 3, 03.2000, p. 549-570.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
