EXISTENCE OF PERIODIC SOLUTIONS TO LIAPUNOV CHARACTERISTIC INDEX EQUATIONS

• 발행기관: 충청수학회
• 저자명: Han You Wang Jun Ouyang Zhuo Yao
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 19, No. 2, 1~9쪽, 전체 9쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2006.06.30

영문 초록

In this paper, a numerical programming for Liapunov index of differential equations with periodic coefficients depending on parameters is given. The associated equations are given at first, then existence of periodic solutions to the associated equations is proved in this paper. And we compute periodic solution u(t) of the associated equations. Finally, we give the error of approximate calculation.

목차

1. Introduction

2. The associated equations

3. Existence of periodic solutions to the associated equations

4. Periodic solution u(t) of (3)

5. Approximate calculation of LCI

6. The error of approximate calculation