On Step-Like Contrast Structure of Singularly Perturbed Systems. (23rd August 2009)

• Record Type: Journal Article
• Authors: Ni, Mingkang; Wang, Zhiming
• Other Names: O'Regan Donal Academic Editor.
• Is Part Of: Boundary value problems. Volume 2009(2009)
• Publication Date: 2009-08-23
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/2009/634324
• Languages: English
• ISSNs: 1687-2762

Abstract

Abstract : The existence of a step-like contrast structure for a class of high-dimensional singularly perturbed system is shown by a smooth connection method based on the existence of a first integral for an associated system. In the framework of this paper, we not only give the conditions under which there exists an internal transition layer but also determine where an internal transition time is. Meanwhile, the uniformly valid asymptotic expansion of a solution with a step-like contrast structure is presented.