On three-dimensional dynamical systems close to systems with a structurally unstable homoclinic curve. i

Mathematics of the USSR - Sbornik

Volumn 17, Issue 4, 1972, Pages 467-485

  Gavrilov, N K ^a   Sil'nikov L P ^a  

^a NONE

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Indexed keywords

EID: 79955577320     PISSN: 00255734     EISSN: 21695288     Source Type: Journal    
DOI: 10.1070/SM1972v017n04ABEH001597     Document Type: Article

References (10)

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3. L.P. Šil 'nikov On the generation of a periodic motion from trajectories doubly asymptotic to an equilibrium state of saddle type, Mat. Sb. 77 (119) (1968), 461—472
4. L.P. Šil 'nikov Math. USSR Sb. 6 (1968), 427-438
5. A contribution to the problem of the structure of an extended neighborhood of a structurally stable equilibrium state of saddle-focus type, Mat. Sb. 81 (123) (1970), 92—103
6. Math. USSR Sb. 10 (1970), 91-102
7. On a Poinc aré-Birkhoff problem, Mat. Sb. 74 (116) (1967), 378—397
8. Math. USSR Sb. 3 (1967), 353-371
9. On the question of the structure, of the neighborhood of a homoclinic tube of an invariant torus, Dokl. Akad. Nauk SSSR 180 (1968), 286—289
10. Soviet Math. Dokl. 9 (1968), 624-628