MATHEMATICA BOHEMICA, Vol. 137, No. 2, pp. 165-173, 2012

Non equivalence of NMS flows on $S^3$

B. Campos, P. Vindel

B. Campos, Departament de Matemàtiques, Universitat Jaume I, Castellón, 12071, Spain, e-mail: campos@mat.uji.es; P. Vindel, Departament de Matemàtiques, Universitat Jaume I, Castellón, 12071, Spain, e-mail: vindel@mat.uji.es

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.

Keywords: non singular Morse-Smale flows, round handle decomposition, link

Classification (MSC 2010): 37D15


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