A First
Introduction to "Normal Forms"
--- Used to Study Weakly Nonlinear Systems ---
講師:
Prof. Peter B. Kahn
(Department
of Physics and Astronomy, Stony Brook University)
日時・場所:
2005年2月15日(火曜日)16:00-
物理学専攻 大学院講義室(2-211)にて
要旨:
Normal Forms were introduced by Poincare and are used to study problems
in astronomy, accelerator theory, vibrations, etc., to obtain precise
solutions of nonlinear ordinary differential equations.
The basic idea is very simple and each order in the perturbation expansion
is obtained by solving a set of linear algebraic equations. But it involves
a lot of algebra so it requires a program such as Mathematica.
[It is easier to implement than other methods such as "BBKGY".]