Yin, Zongbin; He, Shengnan; Chen, Zhijing Mean Li-Yorke chaos and mean sensitivity in non-autonomous discrete systems. (English) Zbl 1514.37036 J. Dyn. Control Syst. 29, No. 1, 245-262 (2023). MSC: 37B55 37D45 PDFBibTeX XMLCite \textit{Z. Yin} et al., J. Dyn. Control Syst. 29, No. 1, 245--262 (2023; Zbl 1514.37036) Full Text: DOI
Gilmore, Clifford; Martínez-Giménez, Félix; Peris, Alfred Rate of growth of distributionally chaotic functions. (English) Zbl 1483.30059 Math. Inequal. Appl. 25, No. 1, 145-167 (2022). MSC: 30D15 31B05 47A16 47B38 PDFBibTeX XMLCite \textit{C. Gilmore} et al., Math. Inequal. Appl. 25, No. 1, 145--167 (2022; Zbl 1483.30059) Full Text: DOI arXiv
Yin, Zongbin; Li, Lianmei; Wei, Yongchang Investigating distributional chaos for operators on Fréchet spaces. (English) Zbl 07443133 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 15, Article ID 2150222, 15 p. (2021). MSC: 47Axx 37Bxx 37Dxx PDFBibTeX XMLCite \textit{Z. Yin} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 15, Article ID 2150222, 15 p. (2021; Zbl 07443133) Full Text: DOI
Yin, Zongbin; Xiang, Qiaomin; Wu, Xinxing Reiterative distributional chaos in non-autonomous discrete systems. (English) Zbl 1483.37031 Qual. Theory Dyn. Syst. 20, No. 3, Paper No. 88, 11 p. (2021). Reviewer: Hasan Akin (Trieste) MSC: 37B55 37B40 37B20 47A16 PDFBibTeX XMLCite \textit{Z. Yin} et al., Qual. Theory Dyn. Syst. 20, No. 3, Paper No. 88, 11 p. (2021; Zbl 1483.37031) Full Text: DOI
Yin, Zongbin; Chen, Zhijing; Chen, Yuming; Wu, Xinxing Perturbation of distributionally chaotic operators. (English) Zbl 07390111 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 84, 15 p. (2021). Reviewer: Cătălin Badea (Villeneuve d’Ascq) MSC: 47A16 47B37 PDFBibTeX XMLCite \textit{Z. Yin} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 84, 15 p. (2021; Zbl 07390111) Full Text: DOI
Luo, Lvlin Mirror operator and its application on chaos. (English) Zbl 07358640 Complex Anal. Oper. Theory 15, No. 3, Paper No. 58, 17 p. (2021). MSC: 47A16 47A55 47A63 47A65 37D45 PDFBibTeX XMLCite \textit{L. Luo}, Complex Anal. Oper. Theory 15, No. 3, Paper No. 58, 17 p. (2021; Zbl 07358640) Full Text: DOI
Kostić, Marko Reiterative \(m_n\)-distributional chaos of type \(s\) in Fréchet spaces. (English) Zbl 1520.47008 Bull. Malays. Math. Sci. Soc. (2) 43, No. 6, 3963-4005 (2020). MSC: 47A06 47A16 PDFBibTeX XMLCite \textit{M. Kostić}, Bull. Malays. Math. Sci. Soc. (2) 43, No. 6, 3963--4005 (2020; Zbl 1520.47008) Full Text: DOI arXiv
Luo, Lvlin Cowen-Douglas function and its application on chaos. (English) Zbl 1477.47010 Ann. Funct. Anal. 11, No. 4, 897-913 (2020). MSC: 47A16 47B13 47A65 30J99 37B99 37D45 PDFBibTeX XMLCite \textit{L. Luo}, Ann. Funct. Anal. 11, No. 4, 897--913 (2020; Zbl 1477.47010) Full Text: DOI arXiv
Kostić, Marko Disjoint distributional chaos in Fréchet spaces. (English) Zbl 07207752 Result. Math. 75, No. 3, Paper No. 83, 22 p. (2020). MSC: 47A06 47A16 54H20 PDFBibTeX XMLCite \textit{M. Kostić}, Result. Math. 75, No. 3, Paper No. 83, 22 p. (2020; Zbl 07207752) Full Text: DOI arXiv
Brian, Will; Kelly, James P. Linear operators with infinite entropy. (English) Zbl 1439.37010 J. Math. Anal. Appl. 487, No. 2, Article ID 123981, 18 p. (2020). MSC: 37B02 37B40 47A35 PDFBibTeX XMLCite \textit{W. Brian} and \textit{J. P. Kelly}, J. Math. Anal. Appl. 487, No. 2, Article ID 123981, 18 p. (2020; Zbl 1439.37010) Full Text: DOI arXiv
Bernardes, N. C. jun.; Bonilla, A.; Peris, A. Mean Li-Yorke chaos in Banach spaces. (English) Zbl 1440.47005 J. Funct. Anal. 278, No. 3, Article ID 108343, 31 p. (2020). Reviewer: Abdellatif Bourhim (Syracuse) MSC: 47A16 37D45 PDFBibTeX XMLCite \textit{N. C. Bernardes jun.} et al., J. Funct. Anal. 278, No. 3, Article ID 108343, 31 p. (2020; Zbl 1440.47005) Full Text: DOI arXiv
Kostić, Marko Disjoint Li-Yorke chaos in Fréchet spaces. (English) Zbl 1438.47006 Electron. J. Math. Anal. Appl. 8, No. 1, 248-272 (2020). MSC: 47A06 47A16 PDFBibTeX XMLCite \textit{M. Kostić}, Electron. J. Math. Anal. Appl. 8, No. 1, 248--272 (2020; Zbl 1438.47006) Full Text: arXiv Link
Bonilla, Antonio; Kostić, Marko Reiterative distributional chaos on Banach spaces. (English) Zbl 1439.47006 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 14, Article ID 1950201, 9 p. (2019). MSC: 47A16 37D45 PDFBibTeX XMLCite \textit{A. Bonilla} and \textit{M. Kostić}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 14, Article ID 1950201, 9 p. (2019; Zbl 1439.47006) Full Text: DOI arXiv
Kiss, Márton; Kalmár-Nagy, Tamás Chaotic backward shift operator on Chebyshev polynomials. (English) Zbl 1484.37033 Eur. J. Appl. Math. 30, No. 5, 1025-1037 (2019). MSC: 37C30 47A16 PDFBibTeX XMLCite \textit{M. Kiss} and \textit{T. Kalmár-Nagy}, Eur. J. Appl. Math. 30, No. 5, 1025--1037 (2019; Zbl 1484.37033) Full Text: DOI
Yin, Zongbin; Huang, Yu Remarks on multiples of distributionally chaotic operators. (English) Zbl 1508.47013 Stud. Math. 243, No. 1, 25-52 (2018). MSC: 47A16 47B37 PDFBibTeX XMLCite \textit{Z. Yin} and \textit{Y. Huang}, Stud. Math. 243, No. 1, 25--52 (2018; Zbl 1508.47013) Full Text: DOI
Yin, Zongbin; Yang, Qigui Distributionally \(n\)-chaotic dynamics for linear operators. (English) Zbl 1390.37066 Rev. Mat. Complut. 31, No. 1, 111-129 (2018). Reviewer: Raymond Mortini (Metz) MSC: 37D45 47A16 34C28 PDFBibTeX XMLCite \textit{Z. Yin} and \textit{Q. Yang}, Rev. Mat. Complut. 31, No. 1, 111--129 (2018; Zbl 1390.37066) Full Text: DOI
Bernardes, N. C. jun.; Bonilla, A.; Peris, A.; Wu, X. Distributional chaos for operators on Banach spaces. (English) Zbl 1482.47009 J. Math. Anal. Appl. 459, No. 2, 797-821 (2018). MSC: 47A16 PDFBibTeX XMLCite \textit{N. C. Bernardes jun.} et al., J. Math. Anal. Appl. 459, No. 2, 797--821 (2018; Zbl 1482.47009) Full Text: DOI Link
Yin, Zongbin; Yang, Qigui Distributionally \(n\)-scrambled set for weighted shift operators. (English) Zbl 06793137 J. Dyn. Control Syst. 23, No. 4, 693-708 (2017). MSC: 47A16 47B37 37B10 PDFBibTeX XMLCite \textit{Z. Yin} and \textit{Q. Yang}, J. Dyn. Control Syst. 23, No. 4, 693--708 (2017; Zbl 06793137) Full Text: DOI
Yin, Zongbin Chaotic dynamics of composition operators on the space of continuous functions. (English) Zbl 1370.37074 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 6, Article ID 1750084, 12 p. (2017). MSC: 37D45 37B05 47B33 PDFBibTeX XMLCite \textit{Z. Yin}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 6, Article ID 1750084, 12 p. (2017; Zbl 1370.37074) Full Text: DOI
Kalmár-Nagy, Tamás; Kiss, Márton Complexity in linear systems: a chaotic linear operator on the space of odd \(2 \pi\)-periodic functions. (English) Zbl 1367.93267 Complexity 2017, Article ID 6020213, 8 p. (2017). MSC: 93C05 93B60 37D45 PDFBibTeX XMLCite \textit{T. Kalmár-Nagy} and \textit{M. Kiss}, Complexity 2017, Article ID 6020213, 8 p. (2017; Zbl 1367.93267) Full Text: DOI
Conejero, J. Alberto; Kostić, Marko; Miana, Pedro J.; Murillo-Arcila, Marina Distributionally chaotic families of operators on Fréchet spaces. (English) Zbl 1394.47013 Commun. Pure Appl. Anal. 15, No. 5, 1915-1939 (2016). Reviewer: Nilson C. Bernardes Jr. (Rio de Janeiro) MSC: 47A16 47Dxx PDFBibTeX XMLCite \textit{J. A. Conejero} et al., Commun. Pure Appl. Anal. 15, No. 5, 1915--1939 (2016; Zbl 1394.47013) Full Text: DOI
Bernardes, N. C.; Bonilla, A.; Müller, V.; Peris, A. Li-Yorke chaos in linear dynamics. (English) Zbl 1352.37100 Ergodic Theory Dyn. Syst. 35, No. 6, 1723-1745 (2015). MSC: 37D45 47A16 47B33 PDFBibTeX XMLCite \textit{N. C. Bernardes} et al., Ergodic Theory Dyn. Syst. 35, No. 6, 1723--1745 (2015; Zbl 1352.37100) Full Text: DOI
Bernal-González, Luis; Pellegrino, Daniel; Seoane-Sepúlveda, Juan B. Linear subsets of nonlinear sets in topological vector spaces. (English) Zbl 1292.46004 Bull. Am. Math. Soc., New Ser. 51, No. 1, 71-130 (2014). Reviewer: Richard M. Aron (Kent) MSC: 46A99 46-02 15A03 46E10 46E15 26B05 28A20 47A16 47L05 PDFBibTeX XMLCite \textit{L. Bernal-González} et al., Bull. Am. Math. Soc., New Ser. 51, No. 1, 71--130 (2014; Zbl 1292.46004) Full Text: DOI
Bernardes, N. C. jun.; Bonilla, A.; Müller, V.; Peris, A. Distributional chaos for linear operators. (English) Zbl 1302.47014 J. Funct. Anal. 265, No. 9, 2143-2163 (2013). Reviewer: Angela Albanese (Lecce) MSC: 47A16 37D45 47B33 47B37 46A04 PDFBibTeX XMLCite \textit{N. C. Bernardes jun.} et al., J. Funct. Anal. 265, No. 9, 2143--2163 (2013; Zbl 1302.47014) Full Text: DOI
Wu, Xinxing; Zhu, Peiyong Li-Yorke chaos of backward shift operators on Köthe sequence spaces. (English) Zbl 1286.54035 Topology Appl. 160, No. 7, 924-929 (2013). Reviewer: Ludvík Janoš (Claremont) MSC: 54H20 37B05 37B20 PDFBibTeX XMLCite \textit{X. Wu} and \textit{P. Zhu}, Topology Appl. 160, No. 7, 924--929 (2013; Zbl 1286.54035) Full Text: DOI
Barrachina, Xavier; Conejero, J. Alberto Devaney chaos and distributional chaos in the solution of certain partial differential equations. (English) Zbl 1256.37027 Abstr. Appl. Anal. 2012, Article ID 457019, 11 p. (2012). MSC: 37D45 20M20 47D03 PDFBibTeX XMLCite \textit{X. Barrachina} and \textit{J. A. Conejero}, Abstr. Appl. Anal. 2012, Article ID 457019, 11 p. (2012; Zbl 1256.37027) Full Text: DOI