On systems with separatrix contour containing two saddle-foci

Journal of Mathematical Sciences

Volumn 95, Issue 5, 1999, Pages 2513-2522

  Bykov, V V ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 27944448709     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/BF02169052     Document Type: Article

References (10)

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3. V. V. Bykov, "On the structure of the neighborhood of the separatrix contour with a saddle-focus," in: Metody Kachestv. Teorii Diff. Uravn., Gor'kii Univ. Press, 3-32 (1978).
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5. N. K. Gavrilov and L. P. Shil'nikov, "On three-dimensional dynamical systems which are close to systems with a structurally unstable homoclinic curve, II," Mat. Sb., 90(132), 139-156 (1973).
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7. L. P. Shil'nikov, "On one problem of Poincare-Birkhoff," Mat. Sb., 74(116), No. 3, 378-397 (1967).
8. L. P. Shil'nikov, "On the question concerning the structure of an extended neighborhood of a structurally stable equilibrium state of the saddle-focus type," Mat. Sb., 81(123), 92-103 (1970).
9. V. V. Bykov, "The bifurcation of separatrix contour and chaos," Physica, D 62, No. 1-4, 290-299 (1993).
10. S. E. Newhouse, "The abundance of wild hyperbolic sets and nonsmooth stable sets for diffeomorphisms," Publ. Math., IHES, 50, 101-151 (1979).