Abstract
In this article, we show that if f has a snap-back repeller then any small C 1 perturbation of f has a snap-back repeller, and hence has Li–Yorke chaos and positive topological entropy, by simply using the implicit function theorem. We also give some examples.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.