Abstract
In this paper, we study the dynamics of a non-autonomous dynamical system generated by a sequence of continuous self maps. We obtain necessary and sufficient condition for a non-autonomous system to be multi--transitive and -mixing of all orders where is a Furstenberg family. Also, we get some sufficient conditions under which multi--transitivity of a non-autonomous discrete dynamical system is inherited under iterations. We relate the multi--transitivity of the non-autonomous system with the multi--transitivity of We also show that multi--transitivity is equivalent with -mixing of all orders if the system is minimal. We also give examples to investigate the conditions imposed for the results to hold good.
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.
