Almost average shadowing property of iterated function systems

Jie Jiang; Nan Wang; Shiheng Chen

doi:10.1117/12.2648749

27 September 2022 Almost average shadowing property of iterated function systems

Jie Jiang, Nan Wang, Shiheng Chen

Proceedings Volume 12345, International Conference on Applied Statistics, Computational Mathematics, and Software Engineering (ASCMSE 2022); 1234503 (2022) https://doi.org/10.1117/12.2648749
Event: 2022 International Conference on Applied Statistics, Computational Mathematics, and Software Engineering (ASCMSE 2022), 2022, Qingdao, China

Abstract

In this paper, we introduce the almost average shadowing property(ALASP). Then, we prove that if an iterated function system IFS (𝑓₀, 𝑓₁) has ALASP, then F^k has ALASP for any K ε Z⁺. And we prove that if IFS (𝑓₀,𝑓₁) has ALASP and 𝑓_i is surjective for some 𝑖 ε {0,1}, then IFS (𝑓₀, 𝑓₁) is chain mixing.

Citation Download Citation

Jie Jiang, Nan Wang, and Shiheng Chen "Almost average shadowing property of iterated function systems", Proc. SPIE 12345, International Conference on Applied Statistics, Computational Mathematics, and Software Engineering (ASCMSE 2022), 1234503 (27 September 2022); https://doi.org/10.1117/12.2648749

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available