On a new hyperchaotic system
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) | 124-136 |
| Journal / Publication | Physics Letters, Section A: General, Atomic and Solid State Physics |
| Volume | 372 |
| Issue number | 2 |
| Publication status | Published - 7 Jan 2008 |
Link(s)
Abstract
A new hyperchaotic system is presented, which has two large positive and one small negative Lyapunov exponent over a large range of parameters. As a consequence, system orbits strongly expand in some directions but rapidly shrink in some other directions. These strong expansions and shrinking lead the system orbits to be more disordered and random. Bifurcation and Poincaré-map analyses further show that the system has very rich bifurcations in different directions and extremely complicated dynamics overall. Spectral analysis shows that the system in the hyperchaotic mode has an extremely broad frequency bandwidth of high magnitudes, verifying its unusual random nature and indicating its great potential for some relevant engineering applications such as secure communications. © 2007 Elsevier B.V. All rights reserved.
Research Area(s)
- Bifurcation, Chaos, Frequency spectrum, Hyperchaos, Poincaré map
Citation Format(s)
On a new hyperchaotic system. / Qi, Guoyuan; van Wyk, Michaël Antonie; van Wyk, Barend Jacobus et al.
In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 372, No. 2, 07.01.2008, p. 124-136.
In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 372, No. 2, 07.01.2008, p. 124-136.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
