Literature cited
Yu. I. Neimark, “Some techniques in the study of dynamical systems,” Proceedings of the Second All-Union Conference on Theoretical and Applied Mechanics [in Russian], Vol. 2, Nauka, Moscow (1985), pp. 97–111.
N. K. Gavrilov and L. P. Shil'nikov, “On three-dimensional dynamical systems near systems with degenerate homoclinic curves,” Matem. Sb., Pt. 1,88, No. 4, 475–492 (1972); Matem. Sb., Pt. 2,90, No. 1, 139–156 (1973).
V. G. Gruzdev and Yu. I. Neimark, “On the creation of homoclinic curves through the intersection of integral manifolds,” Abstracts of the All-Union Conference on the Qualitative Theory of Differential Equations, Samarkand (1973), pp. 72–73.
N. K. Gavrilov, “On three-dimensional dynamical systems with degenerate homoclinic curves,” Mat. Zametki,14, No. 5, 687–696 (1973).
Yu. I. Neimark, “Symbolic dynamics in the neighborhood of homoclinic structures,” Abstracts of the All-Union Conference on the Qualitative Theory of Differential Equations, Samarkand (1973), pp. 154–155.
Yu. I. Neimark, “On motions near doubly asymptotic motions,” Dokl, Akad. Nauk SSSR,172, No. 5, 1021–1024 (1967).
Yu. I. Neimark, “Symbolic dynamics generated by homoclinic structures,” Differents. Uravneniya,12, No. 2, 256–262 (1976).
Yu. I. Neimark, The Method of Point Transformations in the Study of Nonlinear Oscillations [in Russian], Nauka, Moscow (1972).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 28, No. 6, pp. 723–734, November–December, 1976.
Rights and permissions
About this article
Cite this article
Gruzdev, V.G., Neimark, Y.I. Symbolic dynamics in the neighborhood of degenerate homoclinic structures. Ukr Math J 28, 555–563 (1976). https://doi.org/10.1007/BF01094122
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01094122