SOME PHENOMENA FOR WEAK SPRING DUFFING EQUATION IN SUBHARMONIC AND ULTRASUBHARMONIC REGION

Applied Mathematics and Mechanics (English Edition) ›› 1987, Vol. 8 ›› Issue (5): 427-431.

SOME PHENOMENA FOR WEAK SPRING DUFFING EQUATION IN SUBHARMONIC AND ULTRASUBHARMONIC REGION

徐振源¹, 刘曾荣²

1. Department of Mathematics, Anhui Huainan Normal College, Huainan;
2. Anhui University, Hefei

收稿日期:1985-10-20 出版日期:1987-05-18 发布日期:1987-05-18

SOME PHENOMENA FOR WEAK SPRING DUFFING EQUATION IN SUBHARMONIC AND ULTRASUBHARMONIC REGION

Xu Zhen-yuan¹, Liu Zeng-rong²

1. Department of Mathematics, Anhui Huainan Normal College, Huainan;
2. Anhui University, Hefei

Received:1985-10-20 Online:1987-05-18 Published:1987-05-18

摘要/Abstract

摘要： In this paper the situation in which weak spring Duffing equation gets into the chaos on account of small perturbation is discussed with Melnikov-Holmes’ method, and some phenomena in which the different subharmonic and the ultrasubharmonic coexist with the chaos are discovered.

关键词: nonlinear flow, integral transform, analytical solution, well test analysis

Abstract: In this paper the situation in which weak spring Duffing equation gets into the chaos on account of small perturbation is discussed with Melnikov-Holmes’ method, and some phenomena in which the different subharmonic and the ultrasubharmonic coexist with the chaos are discovered.

Key words: nonlinear flow, integral transform, analytical solution, well test analysis

徐振源;刘曾荣. SOME PHENOMENA FOR WEAK SPRING DUFFING EQUATION IN SUBHARMONIC AND ULTRASUBHARMONIC REGION[J]. Applied Mathematics and Mechanics (English Edition), 1987, 8(5): 427-431.

Xu Zhen-yuan;Liu Zeng-rong. SOME PHENOMENA FOR WEAK SPRING DUFFING EQUATION IN SUBHARMONIC AND ULTRASUBHARMONIC REGION[J]. Applied Mathematics and Mechanics (English Edition), 1987, 8(5): 427-431.

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SOME PHENOMENA FOR WEAK SPRING DUFFING EQUATION IN SUBHARMONIC AND ULTRASUBHARMONIC REGION

SOME PHENOMENA FOR WEAK SPRING DUFFING EQUATION IN SUBHARMONIC AND ULTRASUBHARMONIC REGION

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