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.
| Original language | English |
|---|---|
| Pages (from-to) | 1201-1208 |
| Number of pages | 8 |
| Journal | International Journal of Bifurcation and Chaos |
| Volume | 20 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 1 Jan 2010 |
Keywords
- bifurcation
- chaotic circuit
- Hyperchaos
- Lyapunov exponents
ASJC Scopus subject areas
- Modelling and Simulation
- Applied Mathematics