
Previous Article
On the asymptotic behaviour of the solution of parabolic problems in cylindrical domains of large size in some directions
 DCDSB Home
 This Issue

Next Article
Variational proof for hard Discrete breathers in some classes of Hamiltonian dynamical systems
Accessible points in the Julia sets of stable exponentials
1.  Department of Mathematics and Statistics, Boston University, 111 Cumminton St., Boston, MA 02215, United States, United States, United States, United States 
2.  Department of Mathematics and Statistics, Boston University, 111 Cummington St., Boston, MA 02215, United States 
[1] 
Weiyuan Qiu, Fei Yang, Yongcheng Yin. Quasisymmetric geometry of the Cantor circles as the Julia sets of rational maps. Discrete and Continuous Dynamical Systems, 2016, 36 (6) : 33753416. doi: 10.3934/dcds.2016.36.3375 
[2] 
Leticia PardoSimón. Criniferous entire maps with absorbing Cantor bouquets. Discrete and Continuous Dynamical Systems, 2022, 42 (2) : 9891010. doi: 10.3934/dcds.2021144 
[3] 
S. Astels. Thickness measures for Cantor sets. Electronic Research Announcements, 1999, 5: 108111. 
[4] 
Mehdi Pourbarat. On the arithmetic difference of middle Cantor sets. Discrete and Continuous Dynamical Systems, 2018, 38 (9) : 42594278. doi: 10.3934/dcds.2018186 
[5] 
Koh Katagata. Quartic Julia sets including any two copies of quadratic Julia sets. Discrete and Continuous Dynamical Systems, 2016, 36 (4) : 21032112. doi: 10.3934/dcds.2016.36.2103 
[6] 
Luiz Henrique de Figueiredo, Diego Nehab, Jorge Stolfi, João Batista S. de Oliveira. Rigorous bounds for polynomial Julia sets. Journal of Computational Dynamics, 2016, 3 (2) : 113137. doi: 10.3934/jcd.2016006 
[7] 
Robert L. Devaney, Daniel M. Look. Buried Sierpinski curve Julia sets. Discrete and Continuous Dynamical Systems, 2005, 13 (4) : 10351046. doi: 10.3934/dcds.2005.13.1035 
[8] 
Danilo Antonio Caprio. A class of adding machines and Julia sets. Discrete and Continuous Dynamical Systems, 2016, 36 (11) : 59515970. doi: 10.3934/dcds.2016061 
[9] 
Nathaniel D. Emerson. Dynamics of polynomials with disconnected Julia sets. Discrete and Continuous Dynamical Systems, 2003, 9 (4) : 801834. doi: 10.3934/dcds.2003.9.801 
[10] 
TienCuong Dinh, Nessim Sibony. Rigidity of Julia sets for Hénon type maps. Journal of Modern Dynamics, 2014, 8 (3&4) : 499548. doi: 10.3934/jmd.2014.8.499 
[11] 
Tarik Aougab, Stella Chuyue Dong, Robert S. Strichartz. Laplacians on a family of quadratic Julia sets II. Communications on Pure and Applied Analysis, 2013, 12 (1) : 158. doi: 10.3934/cpaa.2013.12.1 
[12] 
Krzysztof Barański, Michał Wardal. On the Hausdorff dimension of the Sierpiński Julia sets. Discrete and Continuous Dynamical Systems, 2015, 35 (8) : 32933313. doi: 10.3934/dcds.2015.35.3293 
[13] 
Ali Messaoudi, Rafael Asmat Uceda. Stochastic adding machine and $2$dimensional Julia sets. Discrete and Continuous Dynamical Systems, 2014, 34 (12) : 52475269. doi: 10.3934/dcds.2014.34.5247 
[14] 
Koh Katagata. Transcendental entire functions whose Julia sets contain any infinite collection of quasiconformal copies of quadratic Julia sets. Discrete and Continuous Dynamical Systems, 2019, 39 (9) : 53195337. doi: 10.3934/dcds.2019217 
[15] 
Doug Hensley. Continued fractions, Cantor sets, Hausdorff dimension, and transfer operators and their analytic extension. Discrete and Continuous Dynamical Systems, 2012, 32 (7) : 24172436. doi: 10.3934/dcds.2012.32.2417 
[16] 
Silvére Gangloff, Alonso Herrera, Cristobal Rojas, Mathieu Sablik. Computability of topological entropy: From general systems to transformations on Cantor sets and the interval. Discrete and Continuous Dynamical Systems, 2020, 40 (7) : 42594286. doi: 10.3934/dcds.2020180 
[17] 
Rich Stankewitz, Hiroki Sumi. Random backward iteration algorithm for Julia sets of rational semigroups. Discrete and Continuous Dynamical Systems, 2015, 35 (5) : 21652175. doi: 10.3934/dcds.2015.35.2165 
[18] 
Rich Stankewitz, Hiroki Sumi. Backward iteration algorithms for Julia sets of Möbius semigroups. Discrete and Continuous Dynamical Systems, 2016, 36 (11) : 64756485. doi: 10.3934/dcds.2016079 
[19] 
Alexander Blokh, Lex Oversteegen, Vladlen Timorin. Nondegenerate locally connected models for plane continua and Julia sets. Discrete and Continuous Dynamical Systems, 2017, 37 (11) : 57815795. doi: 10.3934/dcds.2017251 
[20] 
Youming Wang, Fei Yang, Song Zhang, Liangwen Liao. Escape quartered theorem and the connectivity of the Julia sets of a family of rational maps. Discrete and Continuous Dynamical Systems, 2019, 39 (9) : 51855206. doi: 10.3934/dcds.2019211 
2020 Impact Factor: 1.327
Tools
Metrics
Other articles
by authors
[Back to Top]