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发表时间:2018-07-19 阅读次数:233次
报告题目: A Measure of the Final State Unpredictability and Applications to Some Physical Systems
报 告 人:Prof. Miguel A. F. Sanjuán
报告人所在单位:Universidad Rey Juan Carlos, Spain
报告日期:2018-07-19 星期四
报告时间:11:20
报告地点:光华东主楼1501
  
报告摘要:

In nonlinear dynamics, basins of attraction link a given set of initial conditions to their corresponding final states. This notion appears in a broad range of applications where several outcomes are possible, which is a common situation in neuroscience, economy, astronomy, ecology, and many other disciplines. Depending on the nature of the basins, prediction can be difficult even in systems that evolve under deterministic rules. To address this issue, we introduce the concept of basin entropy, a measure to quantify this uncertainty. Its application is illustrated with several paradigmatic examples that allow us to identify the ingredients that hinder the prediction of the final state. The basin entropy provides an efficient method to probe the behavior of a system when different parameters are varied. These ideas have been applied to some physical systems such as experiments of chaotic scattering of cold atoms, models of shadows of binary black holes, and classical and relativistic chaotic scattering associated to the Hénon--Heiles Hamiltonian system in astrophysics. This is joint work with Alvar Daza (Spain), Alexandre Wagemakers (Spain), Bertrand Georgeot (France) and David Guéry-Odelin (France).

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