1 |
J. L. Rocha and J. S. Ramos, Weighted kneading theory of one-dimensional maps with a hole, Int. J. Math. Math. Sci. 2004 (2004), no. 37-40, 2019-2038. https://doi.org/10.1155/S016117120430428X
DOI
|
2 |
H. H. Rugh and T. Lei, Kneading with weights, J. Fractal Geom. 2 (2015), no. 4, 339-375. https://doi.org/10.4171/JFG/24
DOI
|
3 |
W. Zhang, PM functions, their characteristic intervals and iterative roots, Ann. Polon. Math. 65 (1997), no. 2, 119-128. https://doi.org/10.4064/ap-65-2-119-128
DOI
|
4 |
J. F. Alves and J. Sousa Ramos, Kneading theory: a functorial approach, Comm. Math. Phys. 204 (1999), no. 1, 89-114. https://doi.org/10.1007/s002200050639
DOI
|
5 |
L. Alvin and K. Brucks, Adding machines, kneading maps, and endpoints, Topology Appl. 158 (2011), no. 3, 542-550. https://doi.org/10.1016/j.topol.2010.12.005
DOI
|
6 |
L. Block, J. Keesling, and D. Ledis, Semi-conjugacies and inverse limit spaces, J. Difference Equ. Appl. 18 (2012), no. 4, 627-645. https://doi.org/10.1080/10236198.2011. 611803
DOI
|
7 |
A. Caneco, C. Gracio, and J. L. Rocha, Kneading theory analysis of the Duffing equation, Chaos Solitons Fractals 42 (2009), no. 3, 1529-1538. https://doi.org/10.1016/j.chaos.2009.03.040
DOI
|
8 |
R. L. Devaney, An Introduction to Chaotic Dynamical Systems, reprint of the second (1989) edition, Studies in Nonlinearity, Westview Press, Boulder, CO, 2003.
|
9 |
C. Gopalakrishna and M. Veerapazham, Relation between kneading matrices of a map and its iterates, Commun. Korean Math. Soc. 35 (2020), no. 2, 571-589. https://doi.org/10.4134/CKMS.c190255
DOI
|
10 |
R. A. Holmgren, A First Course in Discrete Dynamical Systems, Universitext, SpringerVerlag, New York, 1994. https://doi.org/10.1007/978-1-4684-0222-3
DOI
|
11 |
D. A. Mendes and J. S. Ramos, Kneading theory for triangular maps, Int. J. Pure Appl. Math. 10 (2004), no. 4, 421-450.
|
12 |
J. Milnor and W. Thurston, On iterated maps of the interval. I. the kneading matrix, and II. periodic points, Preprint, Princeton University, 1977.
|
13 |
J. Milnor and W. Thurston, On iterated maps of the interval, in Dynamical systems (College Park, MD, 1986-87), 465-563, Lecture Notes in Math., 1342, Springer, Berlin, 1988. https://doi.org/10.1007/BFb0082847
DOI
|
14 |
J. F. Alves and J. Sousa Ramos, Kneading theory for tree maps, Ergodic Theory Dynam. Systems 24 (2004), no. 4, 957-985. https://doi.org/10.1017/S014338570400015X
DOI
|
15 |
C. Preston, Iterates of maps on an interval, Lecture Notes in Mathematics, 999, Springer-Verlag, Berlin, 1983. https://doi.org/10.1007/BFb0061749
DOI
|
16 |
C. Preston, Iterates of piecewise monotone mappings on an interval, Lecture Notes in Mathematics, 1347, Springer-Verlag, Berlin, 1988. https://doi.org/10.1007/BFb0079769
DOI
|
17 |
C. Preston, What you need to know to knead, Adv. Math. 78 (1989), no. 2, 192-252. https://doi.org/10.1016/0001-8708(89)90033-9
DOI
|