Abstract
We show that there is a bijection between the renormalizations andproper completely invariant closed sets of expanding Lorenz map,which enables us to distinguish periodic and non-periodicrenormalizations. Based on the properties of the periodic orbit withminimal period, the minimal completely invariant closed set isconstructed. Topological characterizations of the renormalizationsand $\alpha$-limit sets are obtained via consecutiverenormalizations. Some properties of periodic renormalizations arecollected in Appendix.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
