Linearization of Nonlinear Dynamical Systems
数学专题报告
报告题目(Title):Linearization of Nonlinear Dynamical Systems
报告人(Speaker):Prof. Qiyu Sun (University of Central Florida, USA)
地点(Place):后主楼1124
时间(Time):2026年3月19日(周四)15:30-16:30
邀请人(Inviter):杨大春
报告摘要
Taylor expansion and Fourier expansion have been widely used to represent functions. A natural question is whether there is some analog for nonlinear dynamic systems. In this talk, we consider Carlemen linearization and Carleman-Fourier linearization of nonlinear dynamical systems and show that the primary block of the finite-section approach has exponential convergence to the solution of the original dynamical system.