-
Previous Article
Rigorous numerics for nonlinear operators with tridiagonal dominant linear part
- DCDS Home
- This Issue
-
Next Article
Topological properties of sectional-Anosov flows
Transitive sofic spacing shifts
1. | Department of Mathematics and Statistics, University of Melbourne, Parkville 3010, Australia |
2. | Faculty of Applied Mathematics, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Kraków |
3. | Department of Mathematics and Statistics, La Trobe University, Bundoora 3086, Australia |
References:
[1] |
D. Ahmadi and M. Dabbaghian, Characterization of spacing shifts with positive topological entropy,, Acta Math. Univ. Comenian. (N.S.), 81 (2012), 221.
|
[2] |
N. Aoki and K. Hiraide, Topological Theory of Dynamical Systems. Recent Advances,, North-Holland Mathematical Library, (1994).
|
[3] |
J. Banks, Regular Periodic Decompositions for Topologically Transitive maps,, Ergodic Theory Dynam. Systems 17 (1997), 17 (1997), 505.
doi: 10.1017/S0143385797069885. |
[4] |
J. Banks, T. T. D. Nguyen, P. Oprocha, B. Stanley and B. Trotta, Dynamics of spacing shifts,, Discrete Contin. Dyn. Syst. 33 (2013), 33 (2013), 4207.
doi: 10.3934/dcds.2013.33.4207. |
[5] |
D. S. Dummit and R. M. Foote, Abstract Algebra, Third edition,, John Wiley & Sons, (2004).
|
[6] |
H. Furstenberg, Recurrence in Ergodic Theory and Combinatorial Number Theory,, Princeton University Press, (1981).
|
[7] |
S. Ginsburg, Algebraic and automata-theoretic properties of formal languages,, North-Holland/American Elsevier, (1975).
|
[8] |
M. Harrison, Introduction to Formal Language Theory,, Addison-Wesley, (1978).
|
[9] |
D. Kwietniak, Topological entropy and distributional chaos in hereditary shifts with applications to spacing shifts and beta shifts,, Discrete Contin. Dyn. Syst, 33 (2013), 2451.
doi: 10.3934/dcds.2013.33.2451. |
[10] |
K. Lau and A. Zame, On weak mixing of cascades,, Math. Systems Theory, 6 (1973), 307.
doi: 10.1007/BF01740722. |
[11] |
D. Lind and B. Marcus, Introduction to Symbolic Dynamics and Coding,, Cambridge University Press, (1995).
doi: 10.1017/CBO9780511626302. |
[12] |
M. Lothaire, Algebraic Combinatorics on Words,, Cambridge University Press, (1997).
doi: 10.1017/CBO9780511566097. |
show all references
References:
[1] |
D. Ahmadi and M. Dabbaghian, Characterization of spacing shifts with positive topological entropy,, Acta Math. Univ. Comenian. (N.S.), 81 (2012), 221.
|
[2] |
N. Aoki and K. Hiraide, Topological Theory of Dynamical Systems. Recent Advances,, North-Holland Mathematical Library, (1994).
|
[3] |
J. Banks, Regular Periodic Decompositions for Topologically Transitive maps,, Ergodic Theory Dynam. Systems 17 (1997), 17 (1997), 505.
doi: 10.1017/S0143385797069885. |
[4] |
J. Banks, T. T. D. Nguyen, P. Oprocha, B. Stanley and B. Trotta, Dynamics of spacing shifts,, Discrete Contin. Dyn. Syst. 33 (2013), 33 (2013), 4207.
doi: 10.3934/dcds.2013.33.4207. |
[5] |
D. S. Dummit and R. M. Foote, Abstract Algebra, Third edition,, John Wiley & Sons, (2004).
|
[6] |
H. Furstenberg, Recurrence in Ergodic Theory and Combinatorial Number Theory,, Princeton University Press, (1981).
|
[7] |
S. Ginsburg, Algebraic and automata-theoretic properties of formal languages,, North-Holland/American Elsevier, (1975).
|
[8] |
M. Harrison, Introduction to Formal Language Theory,, Addison-Wesley, (1978).
|
[9] |
D. Kwietniak, Topological entropy and distributional chaos in hereditary shifts with applications to spacing shifts and beta shifts,, Discrete Contin. Dyn. Syst, 33 (2013), 2451.
doi: 10.3934/dcds.2013.33.2451. |
[10] |
K. Lau and A. Zame, On weak mixing of cascades,, Math. Systems Theory, 6 (1973), 307.
doi: 10.1007/BF01740722. |
[11] |
D. Lind and B. Marcus, Introduction to Symbolic Dynamics and Coding,, Cambridge University Press, (1995).
doi: 10.1017/CBO9780511626302. |
[12] |
M. Lothaire, Algebraic Combinatorics on Words,, Cambridge University Press, (1997).
doi: 10.1017/CBO9780511566097. |
[1] |
Álvaro Castañeda, Pablo González, Gonzalo Robledo. Topological Equivalence of nonautonomous difference equations with a family of dichotomies on the half line. Communications on Pure & Applied Analysis, , () : -. doi: 10.3934/cpaa.2020278 |
[2] |
Tian Ma, Shouhong Wang. Topological phase transition III: Solar surface eruptions and sunspots. Discrete & Continuous Dynamical Systems - B, 2021, 26 (1) : 501-514. doi: 10.3934/dcdsb.2020350 |
[3] |
Jann-Long Chern, Sze-Guang Yang, Zhi-You Chen, Chih-Her Chen. On the family of non-topological solutions for the elliptic system arising from a product Abelian gauge field theory. Discrete & Continuous Dynamical Systems - A, 2020, 40 (6) : 3291-3304. doi: 10.3934/dcds.2020127 |
[4] |
Neng Zhu, Zhengrong Liu, Fang Wang, Kun Zhao. Asymptotic dynamics of a system of conservation laws from chemotaxis. Discrete & Continuous Dynamical Systems - A, 2021, 41 (2) : 813-847. doi: 10.3934/dcds.2020301 |
[5] |
Jong-Shenq Guo, Ken-Ichi Nakamura, Toshiko Ogiwara, Chang-Hong Wu. The sign of traveling wave speed in bistable dynamics. Discrete & Continuous Dynamical Systems - A, 2020, 40 (6) : 3451-3466. doi: 10.3934/dcds.2020047 |
[6] |
Yueh-Cheng Kuo, Huey-Er Lin, Shih-Feng Shieh. Asymptotic dynamics of hermitian Riccati difference equations. Discrete & Continuous Dynamical Systems - B, 2020 doi: 10.3934/dcdsb.2020365 |
[7] |
Yu Jin, Xiang-Qiang Zhao. The spatial dynamics of a Zebra mussel model in river environments. Discrete & Continuous Dynamical Systems - B, 2020 doi: 10.3934/dcdsb.2020362 |
[8] |
Hua Shi, Xiang Zhang, Yuyan Zhang. Complex planar Hamiltonian systems: Linearization and dynamics. Discrete & Continuous Dynamical Systems - A, 2020 doi: 10.3934/dcds.2020406 |
[9] |
Weiwei Liu, Jinliang Wang, Yuming Chen. Threshold dynamics of a delayed nonlocal reaction-diffusion cholera model. Discrete & Continuous Dynamical Systems - B, 2020 doi: 10.3934/dcdsb.2020316 |
[10] |
Manil T. Mohan. First order necessary conditions of optimality for the two dimensional tidal dynamics system. Mathematical Control & Related Fields, 2020 doi: 10.3934/mcrf.2020045 |
[11] |
Cuicui Li, Lin Zhou, Zhidong Teng, Buyu Wen. The threshold dynamics of a discrete-time echinococcosis transmission model. Discrete & Continuous Dynamical Systems - B, 2020 doi: 10.3934/dcdsb.2020339 |
[12] |
Shao-Xia Qiao, Li-Jun Du. Propagation dynamics of nonlocal dispersal equations with inhomogeneous bistable nonlinearity. Electronic Research Archive, , () : -. doi: 10.3934/era.2020116 |
[13] |
Ebraheem O. Alzahrani, Muhammad Altaf Khan. Androgen driven evolutionary population dynamics in prostate cancer growth. Discrete & Continuous Dynamical Systems - S, 2020 doi: 10.3934/dcdss.2020426 |
[14] |
Zhimin Li, Tailei Zhang, Xiuqing Li. Threshold dynamics of stochastic models with time delays: A case study for Yunnan, China. Electronic Research Archive, 2021, 29 (1) : 1661-1679. doi: 10.3934/era.2020085 |
[15] |
Rong Wang, Yihong Du. Long-time dynamics of a diffusive epidemic model with free boundaries. Discrete & Continuous Dynamical Systems - B, 2020 doi: 10.3934/dcdsb.2020360 |
[16] |
Linfeng Mei, Feng-Bin Wang. Dynamics of phytoplankton species competition for light and nutrient with recycling in a water column. Discrete & Continuous Dynamical Systems - B, 2020 doi: 10.3934/dcdsb.2020359 |
[17] |
Chang-Yuan Cheng, Shyan-Shiou Chen, Rui-Hua Chen. Delay-induced spiking dynamics in integrate-and-fire neurons. Discrete & Continuous Dynamical Systems - B, 2020 doi: 10.3934/dcdsb.2020363 |
[18] |
Attila Dénes, Gergely Röst. Single species population dynamics in seasonal environment with short reproduction period. Communications on Pure & Applied Analysis, , () : -. doi: 10.3934/cpaa.2020288 |
[19] |
Guihong Fan, Gail S. K. Wolkowicz. Chaotic dynamics in a simple predator-prey model with discrete delay. Discrete & Continuous Dynamical Systems - B, 2021, 26 (1) : 191-216. doi: 10.3934/dcdsb.2020263 |
[20] |
Sze-Bi Hsu, Yu Jin. The dynamics of a two host-two virus system in a chemostat environment. Discrete & Continuous Dynamical Systems - B, 2021, 26 (1) : 415-441. doi: 10.3934/dcdsb.2020298 |
2019 Impact Factor: 1.338
Tools
Metrics
Other articles
by authors
[Back to Top]