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Symbolic dynamics in the neighborhood of degenerate homoclinic structures

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Literature cited

  1. 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 

  2. 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 

  3. 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.

  4. N. K. Gavrilov, “On three-dimensional dynamical systems with degenerate homoclinic curves,” Mat. Zametki,14, No. 5, 687–696 (1973).

    Google Scholar 

  5. 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.

  6. Yu. I. Neimark, “On motions near doubly asymptotic motions,” Dokl, Akad. Nauk SSSR,172, No. 5, 1021–1024 (1967).

    Google Scholar 

  7. Yu. I. Neimark, “Symbolic dynamics generated by homoclinic structures,” Differents. Uravneniya,12, No. 2, 256–262 (1976).

    Google Scholar 

  8. Yu. I. Neimark, The Method of Point Transformations in the Study of Nonlinear Oscillations [in Russian], Nauka, Moscow (1972).

    Google Scholar 

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 28, No. 6, pp. 723–734, November–December, 1976.

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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

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  • DOI: https://doi.org/10.1007/BF01094122

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