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Let M be a closed n-dimensional manifold, n > 2, whose first real cohomologygroup H 1 (M ; R) is non-zero. We present a general method for constructing aMorse 1-form $\alpha$ on M , closed but non-exact, and a pseudo-gradient X suchthat the differential $\partial$ X of the Novikov complex of the pair($\alpha$, X) has at least one incidence coefficient which is an infiniteseries. This is an application of our previous study of the homoclinicbifurcation of pseudo-gradients of multivalued Morse functions.

A geometric Morse-Novikov complex with infinite series coefficients