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NMS Flows on Three-Dimensional Manifolds with One Saddle Periodic Orbit
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作者 B.CAMPOS A.CORDERO +1 位作者 J.Martinez ALFARO p.vindel 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2004年第1期47-56,共10页
The simplest NMS flow is a polar flow formed by an attractive periodic orbit and a repulsive periodic orbit as limit sets. In this paper we show that the only orientable, simple, compact, 3-dimensional manifolds witho... The simplest NMS flow is a polar flow formed by an attractive periodic orbit and a repulsive periodic orbit as limit sets. In this paper we show that the only orientable, simple, compact, 3-dimensional manifolds without boundary that admit an NMS flow with none or one saddle periodic orbit are lens spaces. We also see that when a fattened round handle is a connected sum of tori, the corresponding flow is also a trivial connected sum of flows. 展开更多
关键词 NMS systems Links of periodic orbits Round handle decomposition Lens spaces
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Graphs of NMS Flows on S^3 with Knotted Saddle Orbits and No Heteroclinic Trajectories
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作者 B.CAMPOS p.vindel 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2007年第12期2213-2224,共12页
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 ... 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. 展开更多
关键词 NMS systems Wada operations dual graphs
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