Feng, Jiahui; Kuang, Rui Scrambled sets and chain recurrence points of generic graph maps. (English) Zbl 1510.37072 J. Difference Equ. Appl. 28, No. 11-12, 1507-1518 (2022). MSC: 37E25 37B02 37B20 × Cite Format Result Cite Review PDF Full Text: DOI
Kuang, Rui; Liang, Xianjuan On the measure of scrambled sets of graph maps with zero topological entropy. (English) Zbl 1488.37033 Adv. Math., Beijing 50, No. 2, 315-319 (2021). MSC: 37E25 28A05 37B40 × Cite Format Result Cite Review PDF
Zhang, Ying Measurement properties of the scrambled set and the distal set with respect to \(T_\beta\). (Chinese. English summary) Zbl 1389.28001 Math. Pract. Theory 47, No. 5, 247-250 (2017). MSC: 28A05 37B05 × Cite Format Result Cite Review PDF
Li, Jian; Oprocha, Piotr; Zhang, Guohua On recurrence over subsets and weak mixing. (English) Zbl 1352.37032 Pac. J. Math. 277, No. 2, 399-424 (2015). MSC: 37B05 37B40 37E05 37E25 37A25 × Cite Format Result Cite Review PDF Full Text: DOI
Downarowicz, Tomasz; Lacroix, Yves Measure-theoretic chaos. (English) Zbl 1288.37001 Ergodic Theory Dyn. Syst. 34, No. 1, 110-131 (2014). Reviewer: El Houcein El Abdalaoui (Saint Etienne du Rouvray) MSC: 37A25 37A35 37B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Oprocha, Piotr Minimal systems and distributionally scrambled sets. (English) Zbl 1278.37013 Bull. Soc. Math. Fr. 140, No. 3, 401-439 (2012). Reviewer: Francisco Balibrea (Murcia) MSC: 37B05 37B40 37B10 × Cite Format Result Cite Review PDF Full Text: DOI Numdam Link
Du, Bau-Sen An example of unbounded chaos. (English) Zbl 1259.37025 J. Difference Equ. Appl. 18, No. 11, 1843-1851 (2012). MSC: 37D45 37E05 37B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Zhanhong; Wang, Huoyun; Wu, Hongying Scrambled sets for subshift of finite type. (Chinese. English summary) Zbl 1240.37013 J. Guangzhou Univ., Nat. Sci. 9, No. 1, 19-23 (2010). MSC: 37B10 37B40 × Cite Format Result Cite Review PDF
Balibrea, Francisco; Guirao, Juan L. G.; Oprocha, Piotr On invariant \(\varepsilon \)-scrambled sets. (English) Zbl 1202.37016 Int. J. Bifurcation Chaos Appl. Sci. Eng. 20, No. 9, 2925-2935 (2010). MSC: 37B35 37B05 37B10 37A25 × Cite Format Result Cite Review PDF Full Text: DOI
Hosaka, Tetsuya CAT(0) groups and Coxeter groups whose boundaries are scrambled sets. (English) Zbl 1229.20035 J. Pure Appl. Algebra 214, No. 6, 919-936 (2010). MSC: 20F65 20F55 20F67 57M07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Guohua Relative entropy, asymptotic pairs and chaos. (English) Zbl 1085.37002 J. Lond. Math. Soc., II. Ser. 73, No. 1, 157-172 (2006). MSC: 37A05 37A35 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Bau-Sen On the invariance of Li-Yorke chaos of interval maps. (English) Zbl 1076.37024 J. Difference Equ. Appl. 11, No. 9, 823-828 (2005). MSC: 37E05 26A18 37D45 37B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blanchard, François; Durand, Fabien; Maass, Alejandro Constant-length substitutions and countable scrambled sets. (English) Zbl 1057.37006 Nonlinearity 17, No. 3, 817-833 (2004). MSC: 37B05 37B10 54H20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Lampart, M. Two kinds of chaos and relations between them. (English) Zbl 1104.26005 Acta Math. Univ. Comen., New Ser. 72, No. 1, 119-127 (2003). MSC: 26A18 54H20 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Boyarski, Abraham; Góra, Paweł; Lioubimov, Vadim Snap-back repellers and scrambled sets in general topological spaces. (English) Zbl 0987.37012 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 43, No. 5, 591-604 (2001). Reviewer: Andrzej Pelczar (Kraków) MSC: 37B25 37A05 28D05 37B99 × Cite Format Result Cite Review PDF Full Text: DOI
Balibrea, Francisco; Jiménez López, Víctor Maximal scrambled sets for chaotic functions with topological entropy zero. (English) Zbl 0918.58050 Förg-Rob, W. (ed.) et al., Iteration theory. Proceedings of the European conference, ECIT ’92, Batschuns, Austria, September 13–19, 1992. Singapore: World Scientific. 277-278 (1996). Reviewer: Messoud Efendiev (Berlin) MSC: 37D45 × Cite Format Result Cite Review PDF
Balibrea, Francisco; Jiménez López, Víctor A characterization of chaotic functions with entropy zero via their maximal scrambled sets. (English) Zbl 0852.54039 Math. Bohem. 120, No. 3, 293-298 (1995). Reviewer: K.Janková (Bratislava) MSC: 54H20 37D45 26A18 × Cite Format Result Cite Review PDF Full Text: DOI EuDML EMIS
Jiménez López, Víctor Large chaos in smooth functions of zero topological entropy. (English) Zbl 0758.26004 Bull. Aust. Math. Soc. 46, No. 2, 271-285 (1992). Reviewer: K.Janková (Bratislava) MSC: 26A18 54H20 26E10 37D45 × Cite Format Result Cite Review PDF Full Text: DOI
Coppel, W. A. Chaos in one dimension. (English) Zbl 0736.58017 Chaos and order, Proc. Miniconf., Canberra/Australia 1990, 14-21 (1991). Reviewer: G.Swiatek (Stony Brook) MSC: 37E99 × Cite Format Result Cite Review PDF
Gedeon, Tomáš Generic chaos can be large. (English) Zbl 0725.26006 Acta Math. Univ. Comenianae 54-55, 237-242 (1988). Reviewer: K.Janková (Bratislava) MSC: 26A18 37D45 × Cite Format Result Cite Review PDF
Gedeon, T. There are no chaotic mappings with residual scrambled sets. (English) Zbl 0646.26008 Bull. Aust. Math. Soc. 36, 411-416 (1987). Reviewer: J.Smítal MSC: 26A18 37D45 54H20 × Cite Format Result Cite Review PDF Full Text: DOI
Janková, Katarína On the stability of chaotic functions. (English) Zbl 0639.26005 Čas. Pěstování Mat. 112, 351-354 (1987). Reviewer: K.Janková MSC: 26A18 54H20 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Bruckner, A. M.; Hu, Thakyin On scrambled sets for chaotic functions. (English) Zbl 0639.26004 Trans. Am. Math. Soc. 301, 289-297 (1987). Reviewer: K.Janková MSC: 26A18 54H20 × Cite Format Result Cite Review PDF Full Text: DOI