Resumen de Bifurcation of a disappearance of a non-compact heteroclinic curve
Olga V. Pochinka, Valeriya I. Shmukler, Elena A. Talanova
In the present paper, we describe a scenario of a disappearance of a non-compact heteroclinic curve for a three-dimensional diffeomorphism. As a consequence, it is established that 3-diffeomorphisms with a unique heteroclinic curve and fixed points of pairwise different Morse indices exist only on the 3-sphere. The described scenario is directly related to the reconnection processes in the solar corona, the mathematical essence of which, from the point of view of the magnetic charging topology, consists of a disappearance or a birth of non-compact heteroclinic curves.
