TY - JOUR ID - 123056 TI - Some remarks on chaos in nonautonomous dynamical systems JO - Khayyam Journal of Mathematics JA - KJM LA - en SN - AU - Zamani Bahabadi, Ali Reza AU - Effati, Mona AU - Honary, Bahman AD - Ferdowsi University of Mashhad AD - Pure Mathematics, Faculty of Mathematical science, Mashhad, Iran AD - Ferdowsi university of Mashhhad Y1 - 2021 PY - 2021 VL - 7 IS - 1 SP - 115 EP - 130 KW - Nonautonomous dynamical systems KW - Transitivity KW - Sen- sitivity KW - chaos DO - 10.22034/kjm.2020.209183.1631 N2 - ‎‎We introduce the concept of almost thick chaos and continuously almost thick transitivity for continuous maps and nonautonomous dynamical systems (NDS)‎. ‎We show that NDS $f_{1,\infty}$ is sensitive if it is thick transitive and syndetic‎. ‎Under certain conditions‎, ‎we show that NDS $(X,f_{1,\infty})$ generated by a sequence $(f_n)$ of continuous maps on $X$ converging uniformly to $f$ is almost thick transitive if and only if $(X,f)$ is almost thick transitive‎. ‎Moreover‎, ‎we prove that if $f_{1,\infty}$ is continuously almost thick transitive and syndetic‎, ‎then it is strongly topologically ergodic‎. ‎In addition‎, ‎the relationship between the large deviations theorem and almost thick chaos is studied‎. UR - https://www.kjm-math.org/article_123056.html L1 - https://www.kjm-math.org/article_123056_08214b4428e55ce385d320df099089aa.pdf ER -