Homoclinic points and Floer homology (Q2444970)

In this paper a Floer homology generated by primary homoclinic points is constructed in dimension two. In particular the primary Floer homology is computed in two examples. Moreover an invariance theorem is proved and as a consequence an existence and bifurcation criterion for homoclinic and the fixed point is obtained. There is also a link between Floer homology and the transport and flux of a dynamical system, precisely, in this paper, a link to the absolute flux and growth of symplectomorphisms is established.