The Contrast Structures for a Class of Singularly Perturbed Systems with Heteroclinic Orbits
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-02-04
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Singularly perturbed problems are often used as the models of ecology and epidemiology.
In this paper, a class of semilinear singularly perturbed systems with contrast structures are discussed.
Firstly, we verify the existence of heteroclinic orbits connecting two equilibrium points about the associated systems for contrast structures in the corresponding phase space.
Secondly, the asymptotic solutions of the contrast structures by the method of boundary layer functions and smooth connection are constructed.
Finally, the uniform validity of the asymptotic expansion is defined and the existence of the smooth solutions is proved.
American Psychological Association (APA)
Xu, Han& Jin, Yinlai. 2016. The Contrast Structures for a Class of Singularly Perturbed Systems with Heteroclinic Orbits. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1103518
Modern Language Association (MLA)
Xu, Han& Jin, Yinlai. The Contrast Structures for a Class of Singularly Perturbed Systems with Heteroclinic Orbits. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-8.
https://search.emarefa.net/detail/BIM-1103518
American Medical Association (AMA)
Xu, Han& Jin, Yinlai. The Contrast Structures for a Class of Singularly Perturbed Systems with Heteroclinic Orbits. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1103518
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103518