Abstract
A four-dimensional continuous-time autonomous hyperchaotic system is proposed in this letter. This system is constructed by incorporating a nonlinear control to a three-dimensional continuous-time autonomous chaotic system. The hyperchaotic system is analyzed by studying the spectrum of Lyapunov exponents and the corresponding bifurcation diagram. The system exhibits chaotic, periodic, hyperchaotic behaviors for different values of a selected control parameter. Also, a simple electronic circuit is designed and implemented. Simulations and experimental observations verify the analytical results. © 2010 World Scientific Publishing Company.
| Original language | English |
|---|---|
| Pages (from-to) | 1201-1208 |
| Journal | International Journal of Bifurcation and Chaos |
| Volume | 20 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Apr 2010 |
| Externally published | Yes |
Research Keywords
- bifurcation
- chaotic circuit
- Hyperchaos
- Lyapunov exponents