Statistical physics approach to the robustness of evolving open systems

2018 Fiscal Year Final Research Report

• Project/Area Number: 15K05202
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: The University of Tokyo
• Principal Investigator: SHIMADA Takashi 東京大学, 大学院工学系研究科(工学部), 准教授 (90431791)
• Research Collaborator: MURASE Yohsuke ; OGUSHI Fumiko
• Project Period (FY): 2015-04-01 – 2019-03-31
• Keywords: 頑健性・安定性 / 多様性 / 開放系 / 非平衡相転移 / 共存 / ネットワーク

Outline of Final Research Achievements

The robustness against inclusion of new elements is an essential feature of diverse kinds of real complex systems such as living organisms, ecosystems, social and economic systems, and complex engineering system with bottom-up design principle. A recently proposed simple model has revealed a general mechanism of determining the robustness of such systems against inclusion of elements with totally random interactions.
In this project, we obtained better understanding about the robustness of evolving open systems thorough investigations on some types of extended models and finer comparison to the real data. For example, the interaction in many real systems has bidirectional nature like mutual symbiosis, predation, and competition in ecology. We indeed found the strong reinforcement effect of the bidirectionality of the interactions on the robustness of evolving systems.

Free Research Field

統計物理学

Academic Significance and Societal Importance of the Research Achievements

本研究で理解の深まった「開放進化系の頑健性」が多くの現実の系に共通する性質を捉えているものと考えられる。このことは実際に本研究中に行った現実系のデータとの比較解析によっても確認された。
この吟味と、相互作用に相関構造を入れた場合などの拡張モデルについて本研究課題を通じて得られた新しい知見とを合わせて、本理論研究の成果は現実の大規模系についての理解をより深くた。
また、そのことを通じて現実の系の制御・設計の原理に関しても新しい視点を与えたものと言える。