Abstract
The effects of periodic forcing on the time delay protein cross talk model are investigated. We assume periodic variation for plasma membrane permeabilities. The dynamic behaviour of the system is simulated and bifurcation diagrams are obtained for different parameters. The results show that periodic forcing can very easily give rise to complex dynamics, including a period-doubling cascade, chaos, quasi-periodic oscillating, and periodic windows. Finally, we calculate the maximal Lyapunov exponent in the regions of the parameter space where chaotic motion of delayed protein cross talk model with periodic forcing exists.
| Original language | English |
|---|---|
| Pages (from-to) | 127-132 |
| Number of pages | 6 |
| Journal | Comptes Rendus de L'Academie Bulgare des Sciences |
| Volume | 60 |
| Issue number | 2 |
| State | Published - 2007 |
| Externally published | Yes |
Keywords
- Chaotic behaviour
- Maximal lyapunov exponent
- Protein cross talk
- Time delay