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Three-dimensional dynamic systems with noncoarse homoclinical contours

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Abstract

The paper deals with bifurcations of dynamic systems having noncoarse homoclinical contours. Cases are singled out when the bifurcation surface corresponding to the appearance of a noncoarse homoclinical contour can separate a Morse-Smiley system from a system with a countable set of periodic motions. An example is adduced of the existence of a countable set of stable periodic motions.

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