Abstract
After modelling a resistor-inductor-capacitor-phase locked loop (RLC-PLL), the dynamic character of the system was analysed. The Hopf bifurcation was obtained by using centre manifold theory. By analyzing the conditions of stability and instability, the system was shown to possess complex qualities. Under unstable conditions, the system-which undergoes periodic orbits, attraction, and chaos-was examined by numerical methods.
| Original language | English |
|---|---|
| Pages (from-to) | 120-124 |
| Number of pages | 5 |
| Journal | Beijing Huagong Daxue Xuebao (Ziran Kexueban)/Journal of Beijing University of Chemical Technology (Natural Science Edition) |
| Volume | 40 |
| Issue number | 1 |
| Publication status | Published - Jan 2013 |
| Externally published | Yes |
Keywords
- Attractor
- Chaos
- Hopf bifurcation
- Lyapunov exponent
- Resistor-inductor-capacitor-phase locked loop (RLC-PLL)