Non equivalence of NMS flows on
Mathematica Bohemica (2012)
- Volume: 137, Issue: 2, page 165-173
- ISSN: 0862-7959
Access Full Article
top
Abstract
topHow to cite
topCampos, B., and Vindel, P.. "Non equivalence of NMS flows on $S^{3}$." Mathematica Bohemica 137.2 (2012): 165-173. <http://eudml.org/doc/246392>.
@article{Campos2012,
abstract = {We build the flows of non singular Morse-Smale systems on the 3-sphere from its round handle decomposition. We show the existence of flows corresponding to the same link of periodic orbits that are non equivalent. So, the link of periodic orbits is not in a 1-1 correspondence with this type of flows and we search for other topological invariants such as the associated dual graph.},
author = {Campos, B., Vindel, P.},
journal = {Mathematica Bohemica},
keywords = {non singular Morse-Smale flows; round handle decomposition; link; non-singular Morse-Smale flow; round handle decomposition; link},
language = {eng},
number = {2},
pages = {165-173},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Non equivalence of NMS flows on $S^\{3\}$},
url = {http://eudml.org/doc/246392},
volume = {137},
year = {2012},
}
TY - JOUR
AU - Campos, B.
AU - Vindel, P.
TI - Non equivalence of NMS flows on $S^{3}$
JO - Mathematica Bohemica
PY - 2012
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 137
IS - 2
SP - 165
EP - 173
AB - We build the flows of non singular Morse-Smale systems on the 3-sphere from its round handle decomposition. We show the existence of flows corresponding to the same link of periodic orbits that are non equivalent. So, the link of periodic orbits is not in a 1-1 correspondence with this type of flows and we search for other topological invariants such as the associated dual graph.
LA - eng
KW - non singular Morse-Smale flows; round handle decomposition; link; non-singular Morse-Smale flow; round handle decomposition; link
UR - http://eudml.org/doc/246392
ER -
References
top- Asimov, D., 10.2307/1970972, Ann. Math. 102 (1975), 41-54. (1975) Zbl0316.57020MR0380883DOI10.2307/1970972
- Campos, B., Martínez Alfaro, J., Vindel, P., 10.1088/0951-7715/10/5/018, Nonlinearity 10 (1997), 1339-1355. (1997) MR1473388DOI10.1088/0951-7715/10/5/018
- Campos, B., Martínez Alfaro, J., Vindel, P., Graphs of NMS flows on with unknotted saddle periodic orbits, Topol. Proc. 26 (2001-2002), 469-483. (2001) MR2032833
- Campos, B., Vindel, P., 10.1007/s10114-007-0969-x, Acta Math. Sin., Engl. Ser. 23 (2007), 2213-2224. (2007) Zbl1137.37312MR2357455DOI10.1007/s10114-007-0969-x
- Morgan, J. W., 10.1016/0040-9383(79)90013-2, Topology 18 (1978), 41-53. (1978) MR0528235DOI10.1016/0040-9383(79)90013-2
- Nikolaev, I., Zhuzhoma, E., 10.1007/BFb0093599, Lectures Notes in Mathematics 1705. Springer, Berlin (1999). (1999) Zbl1022.37027MR1707298DOI10.1007/BFb0093599
- Wada, M., 10.2969/jmsj/04130405, J. Math. Soc. Japan 41 (1989), 405-413. (1989) MR0999505DOI10.2969/jmsj/04130405
- Yano, K., 10.1007/BF01388724, Invent. Math. 80 (1985), 435-451. (1985) Zbl0622.58018MR0791668DOI10.1007/BF01388724
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.