| Presentation | 1997/10/7 Shilnikov Homoclinic Bifurcation Observed in an Autonomous Third-Order Phase-Locked Loop : The Sinsoidal Phase Detector Case Hitoshi Seishi, Tetsuro Endo, |
|---|---|
| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this paper, we investigate the existence of the Shilnikov's type homoclinic orbit in a certain type of Phase-Locked Loop (PLL) represented by a third-order autonomous differential equation. Characteristically, this PLL has a second-order loop filter consisting of two lag-lead filters connected in tandem, and a sinusoidal phase detector. We have calculated various homoclinic bifurcation sets from the model equation in loop filter gain versus detuning plane. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | PLL / Shilnikov orbit / homoclinic bifurcation / 3rd-order autonomous system / sinusoidal PD |
| Paper # | NLP97-99-112 |
| Date of Issue |
| Conference Information | |
| Committee | NLP |
|---|---|
| Conference Date | 1997/10/7(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | |
| Vice Chair | |
| Secretary | |
| Assistant | |
| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
|---|---|
| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Shilnikov Homoclinic Bifurcation Observed in an Autonomous Third-Order Phase-Locked Loop : The Sinsoidal Phase Detector Case |
| Sub Title (in English) | |
| Keyword(1) | PLL |
| Keyword(2) | Shilnikov orbit |
| Keyword(3) | homoclinic bifurcation |
| Keyword(4) | 3rd-order autonomous system |
| Keyword(5) | sinusoidal PD |
| 1st Author's Name | Hitoshi Seishi |
| 1st Author's Affiliation | Department of Electronics & Communication, School of Science & Technology, Meiji University() |
| 2nd Author's Name | Tetsuro Endo |
| 2nd Author's Affiliation | Department of Electronics & Communication, School of Science & Technology, Meiji University |
| Date | 1997/10/7 |
| Paper # | NLP97-99-112 |
| Volume (vol) | vol.97 |
| Number (no) | 301 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |