Geodesic
On three-dimensional dynamical systems close to systems with a~struc\-tu\-rally unstable homoclinic curve.~II
Sbornik. Mathematics, Tome 19 (1973) no. 1, pp. 139-156

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Dynamical systems are considered which are close to systems with a structurally unstable homoclinic curve. A definition of accessibility of a bifuration surface is given, and it is established that a bifurcation surface $H^1$ corresponding to systems with a structurally unstable homoclinic curve will be inaccessible from at least one side. Cases are singled out in which $H^1$ can be the boundary separating Morse–Smale systems from systems with a countable number of periodic motions. Bibliography: 14 titles. 
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     author = {N. K. Gavrilov and L. P. Shilnikov},
     title = {On three-dimensional dynamical systems close to systems with a~struc\-tu\-rally unstable homoclinic {curve.~II}},
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N. K. Gavrilov; L. P. Shilnikov. On three-dimensional dynamical systems close to systems with a~struc\-tu\-rally unstable homoclinic curve.~II. Sbornik. Mathematics, Tome 19 (1973) no. 1, pp. 139-156. http://geodesic.mathdoc.fr/item/SM_1973_19_1_a9/