{"title":"Counting equilibria in complex systems via\n random matrices","authors":"Y. Fyodorov","doi":"10.1090/pcms/026/04","DOIUrl":null,"url":null,"abstract":"How many equilibria will a large complex system, modeled by N randomly coupled autonomous nonlinear differential equations typically have? How many of those equilibria are stable, that is are local attractors of the nearby trajectories? These questions arise in many applications and can be partly answered by employing the methods of Random Matrix Theory. The lectures will outline these recent developments. Department of Mathematics, King’s College London, London WC2R 2LS, United Kingdom E-mail address: yan.fyodorov@kcl.ac.uk c ©2017 American Mathematical Society","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1090/pcms/026/04","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
基于随机矩阵的复杂系统平衡计数
一个由N个随机耦合自治非线性微分方程建模的大型复杂系统通常有多少个平衡点?有多少平衡是稳定的，也就是附近轨迹的局部吸引子?这些问题出现在许多应用中，可以用随机矩阵理论的方法部分地回答。讲座将概述这些最近的发展。伦敦国王学院数学系，伦敦WC2R 2LS，英国E-mail: yan.fyodorov@kcl.ac.uk c©2017美国数学学会
本文章由计算机程序翻译，如有差异，请以英文原文为准。
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