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

Qiuju Xing | Zendy; Yuming Shi | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

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

Author(s) -

Qiuju Xing,

Yuming Shi

Publication year - 2011

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2011/520273

Subject(s) - transversal (combinatorics) , homoclinic orbit , mathematics , topological entropy , bounded function , chaotic , heteroclinic orbit , mathematical analysis , space (punctuation) , distribution (mathematics) , banach space , pure mathematics , bifurcation , linguistics , philosophy , physics , quantum mechanics , nonlinear system , artificial intelligence , computer science

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

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research