Abstract
A nonlinear controller is proposed for chaos generation in an arbitrarily given lower-order linear autonomous system. The only nonlinearity in the controller is a piecewise quadratic function of the form p(v) = v\v\. A general two-dimensional linear autonomous system is used for illustration. Bifurcation analysis and chaos verification are given by numerical continuation techniques and the Shil'nikov theorem. Both computer simulation and circuit implementation demonstrate the chaotic dynamics generated by this simple anti-controller.
| Original language | English |
|---|---|
| Pages (from-to) | 227-232 |
| Journal | Latin American Applied Research |
| Volume | 31 |
| Issue number | 3 |
| Publication status | Published - Jul 2001 |
Research Keywords
- Anti-control
- Bifurcation
- Chaos generator
- Circuit implementation