非線性動力學專題(Special Topics of Nonlinear Dynamics)

課號：222 M2720 ３學分　　３小時Lecture 半年（一學期）課

一、 Text Book： Applied Nonlinear Dynamics
A.H. Nayfeh，B Balachandran，John Wiley & Sons, Inc.
二、 計分方式：期中考、期末考各佔50%
三、 課程簡介：
１、 Continuous time systems
a. Hamiltonian system
b. Linear Stability Analysis
c. Oscillatory and Quasi-oscillatory Solutions
２、 Discrete time systems
a. Iteration of Maps
b. Bifurcation
c. Chaos
３、 Stochastic Systems
a. Static Probability Distribution
b. Variants of Random Walk
c. The KPZ Equation and Dynamical Renormalization-Group Analysis