Transversal intersections of invariant manifolds of NMS flows on $S^{3}$ | Zendy

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Transversal intersections of invariant manifolds of NMS flows on $S^{3}$

Author(s) -

B. Campos,

P. Vindel

Publication year - 2011

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2012.32.41

Subject(s) - invariant (physics) , saddle , torus , transversal (combinatorics) , phase portrait , pure mathematics , flow (mathematics) , mathematics , physics , mathematical analysis , geometry , mathematical physics , mathematical optimization , bifurcation , quantum mechanics , nonlinear system

In this paper NMS flows on S 3 with a round handle decomposition made up of connected sum of tori are considered. We describe these flows from the corresponding filtrations and obtain conditions for the existence of transversal intersections of invariant manifolds of saddle orbits. Moreover, we build the phase portrait for each case in order to obtain a complete description of the flow and to visualize how invariant manifolds of saddles intersect

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