統計物理及非線性物理之前沿研究之前沿研究 在這三年研究計畫裡，我將研究在多個在非線性系、統計力學及平衡與非平衡物理中複雜耦合的相互作用系統有關之前沿課題。 預計研究不但對特定之物理或生物系統、大數據分析有直接用途，亦會對耦合非線性系統中之基本原理有所貢獻。這些研究項目往往需要大量的電腦模擬及理論分析技巧，如非線性及統計物理等。這些項目均與實驗有緊密關聯。研究課題大致行分為三個課題方向共含有十個項目： (A) 複雜及生物網絡連結之重建及相關問題 (B) 物理及生物系統中混沌及複雜動力行為之反饋控制 (C) 網絡成長及阻挫系統之相變及統計力學 ;Frontier Topics in Statistical Physics and Nonlinear Physics In this three-year proposal, we shall investigate several frontier topics in nonlinear physics, equilibrium and nonequilibrium statistical physics that are related to complex interacting systems/networks. The topics are all intimately related, not only in concepts, but also in theoretical techniques, and are also closely related to experiments. These frontier topics are classified into three groups, containing a total of 10 projects, will be investigated:- (A) Reconstructing complex and biological networks and related problems (B) Feedback control of complex dynamics and chaos in physical and biological systems (C) Statistical mechanics and Phase transitions in Growing Networks and frustrated systems
