| Presentation | 2001/11/22 Analysis of Nonlinear Algeraic Equations Using SPICE : Solving the Bifurcation Points and Disjoint Branches Ikkei KINOUCHI, Kouji TAKATA, Yoshihiro YAMAGAMI, Yoshihumi NISHIO, Akio USHIDA, |
|---|---|
| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | It is very important problems to solve nonlinear algebraic equations for finding the operating points of dc circuits, nonlinear periodic solutions and so on. Although interval method for finding all the solutions is an elegant method in the theoretical point of view, it is rather time consuming for the large scale systems. On the other hand, homotopy method can efficiently be applied to find the multiple solutions. However, it is not guarantees to find all the solutions. In this case, if we find the limit and pitchfork bifurcation points in the hyperplane, it will be helpful to find all the solutions. Thus, we propose in this paper some efficient algorithm to find the bifurcation points and to solve the nonlinear algebraic equations based on SPICE. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | SPICE / continuation method / bifurcation points / nonlinear algebraic equations / Newton homotopy / method |
| Paper # | NLP2001-74 |
| Date of Issue |
| Conference Information | |
| Committee | NLP |
|---|---|
| Conference Date | 2001/11/22(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) | Analysis of Nonlinear Algeraic Equations Using SPICE : Solving the Bifurcation Points and Disjoint Branches |
| Sub Title (in English) | |
| Keyword(1) | SPICE |
| Keyword(2) | continuation method |
| Keyword(3) | bifurcation points |
| Keyword(4) | nonlinear algebraic equations |
| Keyword(5) | Newton homotopy |
| Keyword(6) | method |
| 1st Author's Name | Ikkei KINOUCHI |
| 1st Author's Affiliation | Dept.of Electrical and Electronic Engineering, Tokushima University() |
| 2nd Author's Name | Kouji TAKATA |
| 2nd Author's Affiliation | Dept.of Electrical and Electronic Engineering, Tokushima University |
| 3rd Author's Name | Yoshihiro YAMAGAMI |
| 3rd Author's Affiliation | Dept.of Electrical and Electronic Engineering, Tokushima University |
| 4th Author's Name | Yoshihumi NISHIO |
| 4th Author's Affiliation | Dept.of Electrical and Electronic Engineering, Tokushima University |
| 5th Author's Name | Akio USHIDA |
| 5th Author's Affiliation | Dept.of Electrical and Electronic Engineering, Tokushima University |
| Date | 2001/11/22 |
| Paper # | NLP2001-74 |
| Volume (vol) | vol.101 |
| Number (no) | 465 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |