期刊文献+

Graphs of NMS Flows on S^3 with Knotted Saddle Orbits and No Heteroclinic Trajectories

Graphs of NMS Flows on S^3 with Knotted Saddle Orbits and No Heteroclinic Trajectories
原文传递
导出
摘要 We consider NMS systems on S^3 without heteroclinic trajectories connecting two saddles orbits and we build the dual graphs associated with this kind of flows. We prove that flows coming from essential attachments of orientable round 1-handles can be reproduced from the corresponding dual graph. We consider NMS systems on S^3 without heteroclinic trajectories connecting two saddles orbits and we build the dual graphs associated with this kind of flows. We prove that flows coming from essential attachments of orientable round 1-handles can be reproduced from the corresponding dual graph.
机构地区 Dpt.Matemàtiques
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2007年第12期2213-2224,共12页 数学学报(英文版)
基金 P11B2002-24(Convenio Bancaixa-Universitat Jaume I)MTM2004-03244(MEC)
关键词 NMS systems Wada operations dual graphs NMS systems, Wada operations, dual graphs
  • 相关文献

参考文献10

  • 1Peixoto, M. M.: On the Classification of Flows on 2-Manifolds, Proc. Symp. Dyn. Syst. Brazil 1971. Academic Press, 1973, 389-419
  • 2Wang, X. L.: The C^*-algebras of Morse-Smale flows on two-manifolds. Ergod. Th. and Dynam. Sys., 10, 565-597 (1989)
  • 3Franks, J.: Non Singular Smale Flows on S^3. Topology, 24(3), 265-282 (1985)
  • 4Bolsinov, A. V., Matveev, S. V., Fomenko, A. T.: Topological classification of integrable Hamiltonian systems with two degrees of freedom. A list of systems of small complexity. Russian Math, Surveys, 45(2), 59-94 (1990)
  • 5Nguen T'en, Z., Fomenko, A. T.: Topological classification of integrable non-degenerate Hamiltonians on a constant energy three-dimensional sphere. Russian Math, Surveys, 45(6), 109-135 (1990)
  • 6Asimov, D.: Round handles and Non-singular Morse-Smale flows. Ann. Math., 102, 41-54 (1975)
  • 7Morgan, J.: Non Singular Morse-Smale flows on 3-dimensional manifolds. Topology, 18, 41-53 (1978)
  • 8Wada, M.: Closed orbits of non-singular Morse-Smale flows on S^3. J. Math. Soc. Japan, 41(3), 405-413 (1989)
  • 9Campos, B., Martlnez Alfaro, J., Vindel, P.: Graphs of NMS Flows on S^3 with unknotted saddle periodic orbits. Topology Proc, 26(2), 469-483 (2003)
  • 10Chartrand, G., Lesniak, L.: Graphs and digraphs. Ed. Chapman & Hall, 1996

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部