Iterates of meromorphic functions III: Preperiodic domains
Publication type: Journal Article
Publication date: 1991-12-01
scimago Q1
wos Q2
SJR: 1.003
CiteScore: 1.9
Impact factor: 0.8
ISSN: 01433857, 14694417
General Mathematics
Applied Mathematics
Abstract
The paper discusses the connectivity of periodic and preperiodic domains in the stable set in the iteration of a meromorphic function. The connectivity of an invariant component has one of the values 1, 2, ∞. Examples are constructed to show that the connectivity of a preperiodic component may take any value.
Found
Nothing found, try to update filter.
Found
Nothing found, try to update filter.
Top-30
Journals
|
1
2
3
4
5
|
|
|
Conformal Geometry and Dynamics
5 publications, 8.06%
|
|
|
Journal of Mathematical Analysis and Applications
5 publications, 8.06%
|
|
|
Complex Variables, Theory and Application: An International Journal
4 publications, 6.45%
|
|
|
Ergodic Theory and Dynamical Systems
4 publications, 6.45%
|
|
|
Mathematical Proceedings of the Cambridge Philosophical Society
3 publications, 4.84%
|
|
|
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 publications, 3.23%
|
|
|
Nonlinearity
2 publications, 3.23%
|
|
|
Discrete and Continuous Dynamical Systems
2 publications, 3.23%
|
|
|
Journal of Difference Equations and Applications
2 publications, 3.23%
|
|
|
Proceedings of the American Mathematical Society
1 publication, 1.61%
|
|
|
Transactions of the American Mathematical Society
1 publication, 1.61%
|
|
|
Bulletin of the American Mathematical Society
1 publication, 1.61%
|
|
|
Filomat
1 publication, 1.61%
|
|
|
Arnold Mathematical Journal
1 publication, 1.61%
|
|
|
Qualitative Theory of Dynamical Systems
1 publication, 1.61%
|
|
|
Mathematische Annalen
1 publication, 1.61%
|
|
|
Journal d'Analyse Mathematique
1 publication, 1.61%
|
|
|
Bulletin of the Malaysian Mathematical Sciences Society
1 publication, 1.61%
|
|
|
Acta Mathematica Sinica, English Series
1 publication, 1.61%
|
|
|
Science in China Series A Mathematics
1 publication, 1.61%
|
|
|
Monatshefte fur Mathematik
1 publication, 1.61%
|
|
|
Results in Mathematics
1 publication, 1.61%
|
|
|
Mathematische Zeitschrift
1 publication, 1.61%
|
|
|
Acta Mathematica Scientia
1 publication, 1.61%
|
|
|
Computational Methods and Function Theory
1 publication, 1.61%
|
|
|
Proceedings of the Indian Academy of Sciences: Mathematical Sciences
1 publication, 1.61%
|
|
|
Topology and its Applications
1 publication, 1.61%
|
|
|
Chaos, Solitons and Fractals
1 publication, 1.61%
|
|
|
Mathematische Nachrichten
1 publication, 1.61%
|
|
|
Dynamical Systems
1 publication, 1.61%
|
|
|
1
2
3
4
5
|
Publishers
|
2
4
6
8
10
12
14
16
18
|
|
|
Springer Nature
17 publications, 27.42%
|
|
|
Cambridge University Press
9 publications, 14.52%
|
|
|
American Mathematical Society
8 publications, 12.9%
|
|
|
Taylor & Francis
8 publications, 12.9%
|
|
|
Elsevier
7 publications, 11.29%
|
|
|
World Scientific
2 publications, 3.23%
|
|
|
IOP Publishing
2 publications, 3.23%
|
|
|
American Institute of Mathematical Sciences (AIMS)
2 publications, 3.23%
|
|
|
Mathematical Sciences Publishers
2 publications, 3.23%
|
|
|
University of Nis
1 publication, 1.61%
|
|
|
Wiley
1 publication, 1.61%
|
|
|
Walter de Gruyter
1 publication, 1.61%
|
|
|
International Press of Boston
1 publication, 1.61%
|
|
|
Hindawi Limited
1 publication, 1.61%
|
|
|
2
4
6
8
10
12
14
16
18
|
- We do not take into account publications without a DOI.
- Statistics recalculated weekly.
Are you a researcher?
Create a profile to get free access to personal recommendations for colleagues and new articles.
Metrics
62
Total citations:
62
Citations from 2024:
3
(4.84%)
Cite this
GOST |
RIS |
BibTex |
MLA
Cite this
GOST
Copy
Baker I. N., Kotus J., Yinian L. Iterates of meromorphic functions III: Preperiodic domains // Ergodic Theory and Dynamical Systems. 1991. Vol. 11. No. 4. pp. 603-618.
GOST all authors (up to 50)
Copy
Baker I. N., Kotus J., Yinian L. Iterates of meromorphic functions III: Preperiodic domains // Ergodic Theory and Dynamical Systems. 1991. Vol. 11. No. 4. pp. 603-618.
Cite this
RIS
Copy
TY - JOUR
DO - 10.1017/s0143385700006386
UR - https://doi.org/10.1017/s0143385700006386
TI - Iterates of meromorphic functions III: Preperiodic domains
T2 - Ergodic Theory and Dynamical Systems
AU - Baker, I. N.
AU - Kotus, J
AU - Yinian, Lü
PY - 1991
DA - 1991/12/01
PB - Cambridge University Press
SP - 603-618
IS - 4
VL - 11
SN - 0143-3857
SN - 1469-4417
ER -
Cite this
BibTex (up to 50 authors)
Copy
@article{1991_Baker,
author = {I. N. Baker and J Kotus and Lü Yinian},
title = {Iterates of meromorphic functions III: Preperiodic domains},
journal = {Ergodic Theory and Dynamical Systems},
year = {1991},
volume = {11},
publisher = {Cambridge University Press},
month = {dec},
url = {https://doi.org/10.1017/s0143385700006386},
number = {4},
pages = {603--618},
doi = {10.1017/s0143385700006386}
}
Cite this
MLA
Copy
Baker, I. N., et al. “Iterates of meromorphic functions III: Preperiodic domains.” Ergodic Theory and Dynamical Systems, vol. 11, no. 4, Dec. 1991, pp. 603-618. https://doi.org/10.1017/s0143385700006386.