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Ukrainian Mathematical Journal

, Volume 28, Issue 6, pp 555–563 | Cite as

Symbolic dynamics in the neighborhood of degenerate homoclinic structures

  • V. G. Gruzdev
  • Yu. I. Neimark
Article
  • 19 Downloads

Keywords

Symbolic Dynamic Homoclinic Structure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Literature cited

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    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.Google Scholar
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    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).Google Scholar
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    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.Google Scholar
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    N. K. Gavrilov, “On three-dimensional dynamical systems with degenerate homoclinic curves,” Mat. Zametki,14, No. 5, 687–696 (1973).Google Scholar
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    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.Google Scholar
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    Yu. I. Neimark, “On motions near doubly asymptotic motions,” Dokl, Akad. Nauk SSSR,172, No. 5, 1021–1024 (1967).Google Scholar
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    Yu. I. Neimark, “Symbolic dynamics generated by homoclinic structures,” Differents. Uravneniya,12, No. 2, 256–262 (1976).Google Scholar
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    Yu. I. Neimark, The Method of Point Transformations in the Study of Nonlinear Oscillations [in Russian], Nauka, Moscow (1972).Google Scholar

Copyright information

© Plenum Publishing Corporation 1977

Authors and Affiliations

  • V. G. Gruzdev
    • 1
  • Yu. I. Neimark
    • 1
  1. 1.Institute of Applied Mathematics and CyberneticsGorki State UniversityUSSR

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