| Presentation | 2016-06-13 A mean field analysis of the simple model of evolving open system Fumiko Ogushi, Takashi Shimada, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | A simple model of evolving open systems with the mono-directional interaction gives a novel transition from the diverging phase to the finite phase. The system can grow in a range of 4 < m < 19, where m represents the interaction number of the new incoming elements, and it remains in a finite size in the case of m > 19. Assuming that the system is a random network, we evaluate the transition point on a basis of a mean field approach; The system is able to be described by the average values of degree and fitness of the entire system. From the mean field approach, we found that the extinction probability E(m) decreases when m increases and the decreasing speed is slower than the increasing speed of m. Thus, the expectation value of the extinction species mE(m) increases and crosses one at mc* =13. It corresponds to the transition point. Moreover, extinction probabilities which are directly observed in the systems of the mono-directional model are smaller than the estimation value from the mean field analysis. As a result of the smaller extinction probabilities, the transition point in the mono-directional model (mc =18) becomes larger than the mean field approach. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Evolving open system / Transition / Mean field analysis |
| Paper # | NLP2016-23,CCS2016-6 |
| Date of Issue | 2016-06-06 (NLP, CCS) |
| Conference Information | |
| Committee | CCS / NLP |
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| Conference Date | 2016/6/13(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Kikai-Shinko-Kaikan Bldg. |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Nonlinear Science, Complexity Science, etc. |
| Chair | Yasuhiro Tsubo(Ritsumeikan Univ.) / Hisato Fujisaka(Hiroshima City Univ.) |
| Vice Chair | Naoki Wakamiya(Osaka Univ.) / Mikio Hasegawa(Tokyo Univ. of Science) / Masaharu Adachi(Tokyo Denki Univ.) |
| Secretary | Naoki Wakamiya(Kyoto Sangyo Univ.) / Mikio Hasegawa(Osaka Univ.) / Masaharu Adachi(Konan Univ.) |
| Assistant | Takayuki Kimura(Nippon Inst. of Tech.) / Song-Ju Kim(NIMS) / Ryo Takahashi(Kyoto Univ.) / Hidehiro Nakano(Tokyo City Univ.) / Hiroyuki Asahara(Okayama Univ. of Science) / Toshihiro Tachibana(Shonan Inst. of Tech.) |
| Paper Information | |
| Registration To | Technical Committee on Complex Communication Sciences / Technical Committee on Nonlinear Problems |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A mean field analysis of the simple model of evolving open system |
| Sub Title (in English) | |
| Keyword(1) | Evolving open system |
| Keyword(2) | Transition |
| Keyword(3) | Mean field analysis |
| 1st Author's Name | Fumiko Ogushi |
| 1st Author's Affiliation | Tohoku University(Tohoku Univ.) |
| 2nd Author's Name | Takashi Shimada |
| 2nd Author's Affiliation | The University of Tokyo(Univ. of Tokyo) |
| Date | 2016-06-13 |
| Paper # | NLP2016-23,CCS2016-6 |
| Volume (vol) | vol.116 |
| Number (no) | NLP-86,CCS-87 |
| Page | pp.pp.21-25(NLP), pp.21-25(CCS), |
| #Pages | 5 |
| Date of Issue | 2016-06-06 (NLP, CCS) |