Generating chaos via x|x|
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 22_Publication in policy or professional journal
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 636-641 |
| Journal / Publication | IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications |
| Volume | 48 |
| Issue number | 5 |
| Publication status | Published - May 2001 |
Link(s)
Abstract
This paper investigates the role of the function x|x| as a chaos generator in nonautonomous systems. A Duffing-like nonautonomous oscillator is used for illustration. It is rigorously proven via the Melnikov function method that this particular quadratic function induces Smale horseshoes to the Duffing-like system. Moreover, its physical meaning as an energy function is demonstrated, which provides a critical value for the emerge of chaos. Simulations with bifurcation analysis are given for better understanding of the underlying dynamics.
Research Area(s)
- Chaos, Duffing system, Piecewise quadratic function
Citation Format(s)
Generating chaos via x|x|. / Tang, K. S.; Man, K. F.; Zhong, G. Q. et al.
In: IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, Vol. 48, No. 5, 05.2001, p. 636-641.
In: IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, Vol. 48, No. 5, 05.2001, p. 636-641.
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 22_Publication in policy or professional journal
