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Local and global behavior near homoclinic orbits. (English) Zbl 0588.58041
We study the local behavior of systems near homoclinic orbits to stationary points of saddle-focus type. We explicitly describe how a periodic orbit approaches homoclinicity and, with the help of numerical examples, discuss how these results relate to global patterns of bifurcations.

37D45Strange attractors, chaotic dynamics
37G99Local and nonlocal bifurcation theory
Full Text: DOI
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