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

Qiuju Xing; Yuming Shi
January 2011
Abstract & Applied Analysis;2011, Special section p1
Academic Journal
This paper is concerned with distribution of maps with transversal homoclinic orbits in a continuousmap space, which consists of continuousmaps 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.


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