This article is cited in 5 papers

Three-dimensional dynamic systems with noncoarse homoclinical contours

N. K. Gavrilov

Scientific-Research Institute of Applied Mathematics and Cybernetics, Gor'kii State University

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.

UDC: 517.9

Received: 29.06.1973

 English version: Mathematical Notes, 1973, 14:5, 953–957

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