Symphony of the uncertainty in three movements不确定性的三重奏

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In this presentation, conceived as a symphony in three movements, I will present a coherent overview of key concepts related to uncertainty and unpredictability in nonlinear dynamical systems. The first movement introduces the topological foundations of unpredictability, ranging from indecomposable continua to the emergence of Wada basins. In the second movement, I will focus on a concrete physical example, analyzing the Wada basin structure of the Hénon–Heiles Hamiltonian system and its implications for chaotic scattering and final-state sensitivity. The final movement culminates with the concept of basin entropy as a quantitative measure of unpredictability. I will also discuss recent advances in the use of basin entropy for basin classification and for the systematic detection and analysis of bifurcations in dynamical systems. 

      Miguel A. F. Sanjuan, 西班牙胡安・卡洛斯国王大学（Rey Juan Carlos University, URJC） 物理系终身讲席教授（Catedrático）、西班牙皇家科学院院士、物理系创始人与首任系主任、非线性动力学、混沌理论与复杂系统研究组负责人。Miguel A. F. Sanjuan教授发表630 余篇SCI 论文，出版专著 5 部、主编多部混沌与复杂系统丛书，长期深耕中西学术合作，中国多所高校荣誉教授 / 客座研究员，频繁受邀在国内（如清华大学、兰州大学、厦门大学、北京理工大学等）举办学术报告、合作科研、联合培养博士生，推动非线性动力学与混沌理论在华发展，学术影响力深厚。