Exact parametric representations of orbits defined by cubic Hamiltonian

In this paper,we show that for any given planar cubic algebraic curves defined by a quadratic Hamiltonian vector field,we can always have their exact explicit parametric representations.We use a model of micro-structured solid to show an application of our conclusions.

Bibliographic Details
Main Author: Jibin Li
Format: Article
Language:English
Published: Academic Journals Center of Shanghai Normal University 2014-10-01
Series:Journal of Shanghai Normal University (Natural Sciences)
Subjects:
Online Access:http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/create_pdf.aspx?file_no=201405002&flag=1&year_id=2014&quarter_id=5