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Distribution of Maps with Transversal Homoclinic Orbits in a Continuous Map Space
Joint Authors
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-06-28
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper is concerned with distribution of maps with transversal homoclinic orbits in a continuous map space, which consists of continuous maps defined in a closed and bounded set of a Banach space.
By the transversal homoclinic theorem, it is shown that the map space contains a dense set of maps that have transversal homoclinic orbits and are chaotic in the sense of both Li-Yorke and Devaney with positive topological entropy.
American Psychological Association (APA)
Xing, Qiuju& Shi, Yuming. 2011. Distribution of Maps with Transversal Homoclinic Orbits in a Continuous Map Space. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-11.
https://search.emarefa.net/detail/BIM-478241
Modern Language Association (MLA)
Xing, Qiuju& Shi, Yuming. Distribution of Maps with Transversal Homoclinic Orbits in a Continuous Map Space. Abstract and Applied Analysis No. 2011 (2011), pp.1-11.
https://search.emarefa.net/detail/BIM-478241
American Medical Association (AMA)
Xing, Qiuju& Shi, Yuming. Distribution of Maps with Transversal Homoclinic Orbits in a Continuous Map Space. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-11.
https://search.emarefa.net/detail/BIM-478241
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-478241