This is a preview of subscription content, log in via an institution to check access.
Literature cited
A. D. Bryuno, “Analytic form of differential equations,” Tr. Mosk. Mat. Ob-va,25, 120–262 (1971).
L. P. Shil'nikov, “On the birth of periodic motions from trajectories, doubly asymptotic to a saddle type equilibrium state,” Mat. Sb.,77, No. 3, 461–472 (1968).
L. P. Shil'nikov, “On the question of the structure of an extended neighborhood of a structurally stable saddle-focus type equilibrium state,” Mat. Sb.,81, No. 1, 92–113 (1970).
L. A. Belyakov, “On a case of birth of a periodic motion with homoclinic curves,” Mat. Zametki,15, No. 4, 571–580 (1974).
L. P. Shil'nikov, “Theory of bifurcations of dynamical systems and descriptions of the boundary,” Dokl. Akad. Nauk SSSR,224, No. 5, 1046–1049 (1975).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 28, No. 6, pp. 911–922, December, 1980.
Rights and permissions
About this article
Cite this article
Belyakov, L.A. Bifurcation set in a system with homoclinic saddle curve. Mathematical Notes of the Academy of Sciences of the USSR 28, 910–916 (1980). https://doi.org/10.1007/BF01709154
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01709154