Distribution of Maps with Transversal Homoclinic Orbits in a Continuous Map Space

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...

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Bibliographic Details
Main Authors: Qiuju Xing, Yuming Shi
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/520273