Open AccessTransversal intersections of invariant manifolds of NMS flows on $S^{3}$
Author(s) -
Beatriz Campos,
P. Vindel
Publication year - 2012
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