Distribution of maps with transversal homoclinic orbits in a continuous map space
Summary: This paper is concerned with the distribution of maps with transversal homoclinic orbits in a 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 this 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.
scientific article; zbMATH DE number 5930753
scientific article