SCOPUS 정보 검색 플랫폼 - 논문 보기

메뉴 건너뛰기

Volumn 6, Issue 1, 1996, Pages 15-31

Dynamical phenomena in systems with structurally unstable Poincaré homoclinic orbits

(3) Gonchenko, S V a Shil'nikov, L P a Turaev, D V a

a Res Inst Appl Math and Cybernet (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0005283382 PISSN: 10541500 EISSN: None Source Type: Journal
DOI: 10.1063/1.166154 Document Type: Article

Times cited : (114)

References (47)

1
- 34250451946
- D. Ruelle and F. Takens, Comm. Math. Phys. 20, 167-192 (1971).
- (1971) Comm. Math. Phys. , vol.20 , pp. 167-192
- Ruelle, D.¹ Takens, F.²

2
- 0039341145
- edited by A. V. Gaponov-Grekhov, 6 ed. Nauka, Moscow, (in Russian)
- Ya. G. Sinai, in Nonlinear Waves, edited by A. V. Gaponov-Grekhov, 6 ed. (Nauka, Moscow, 1979) (in Russian).
- (1979) Nonlinear Waves
- Sinai, Ya.G.¹

3
- 0023604652
- I. M. Ovsyannikov and L. P. Shil'nikov, Math. Sb. 58, 557-574 (1987).
- (1987) Math. Sb. , vol.58 , pp. 557-574
- Ovsyannikov, I.M.¹ Shil'nikov, L.P.²

4
- 79955632290
- I. M. Ovsyannikov and L. P. Shil'nikov, Math. Sb. 73, 415-443 (1992).
- (1992) Math. Sb. , vol.73 , pp. 415-443
- Ovsyannikov, I.M.¹ Shil'nikov, L.P.²

5
- 0040526214
- originally published in Methods of Qualitative Theory of Differential Equations (Gorki University Press, Gorki, 1986) (in Russian)
- L. P. Shil'nikov, Selecta Math. Sov. 10, 45-53 (1991) [originally published in Methods of Qualitative Theory of Differential Equations (Gorki University Press, Gorki, 1986) (in Russian)].
- (1991) Selecta Math. Sov. , vol.10 , pp. 45-53
- Shil'nikov, L.P.¹

6
- 0001234956
- L. P. Shil'nikov, Sov. Math. Dokl. 6, 163-166 (1965).
- (1965) Sov. Math. Dokl. , vol.6 , pp. 163-166
- Shil'nikov, L.P.¹

7
- 84956230541
- L. P. Shil'nikov, Math. Sb. 10, 91-102 (1970).
- (1970) Math. Sb. , vol.10 , pp. 91-102
- Shil'nikov, L.P.¹

8
- 0000697407
- originally published in Methods of Qualitative Theory of Differential Equations (Gorki University Press, Gorki, 1983)
- V. S. Afraimovich and L. P. Shil'nikov, Amer. Math. Soc. Trans. 149, 201-212 (1991) [originally published in Methods of Qualitative Theory of Differential Equations (Gorki University Press, Gorki, 1983)].
- (1991) Amer. Math. Soc. Trans. , vol.149 , pp. 201-212
- Afraimovich, V.S.¹ Shil'nikov, L.P.²

9
- 0039933370
- Ukrainian Mathematics Institute, Kiev, (in Russian)
- D. V. Turaev and L. P. Shil'nikov, in Mathematical Mechanisms of Turbulence (Ukrainian Mathematics Institute, Kiev, 1986) (in Russian).
- (1986) Mathematical Mechanisms of Turbulence
- Turaev, D.V.¹ Shil'nikov, L.P.²

10
- 0040526215
- V. S. Afraimovich and L. P. Shil'nikov, Sov. Math. Dokl. 24, 1761-1765 (1974).
- (1974) Sov. Math. Dokl. , vol.24 , pp. 1761-1765
- Afraimovich, V.S.¹ Shil'nikov, L.P.²

11
- 51649164983
- S. E. Newhouse, J. Palis, and F. Takens, Publ. Math. Inst. Haute Etudes Sci. 57, 5-71 (1983).
- (1983) Publ. Math. Inst. Haute Etudes Sci. , vol.57 , pp. 5-71
- Newhouse, S.E.¹ Palis, J.² Takens, F.³

12
- 0022811435
- L. O. Chua, M. Komuro, and T. Matsumoto, IEEE Trans. Circuits Syst. CAS-33, 1072-1118 (1986).
- (1986) IEEE Trans. Circuits Syst. , vol.CAS-33 , pp. 1072-1118
- Chua, L.O.¹ Komuro, M.² Matsumoto, T.³

13
- 4244116032
- L. P. Shil'nikov, Int. J. Bifurcation Chaos 4, 489-519 (1994).
- (1994) Int. J. Bifurcation Chaos , vol.4 , pp. 489-519
- Shil'nikov, L.P.¹

14
- 0002591468
- M. Hénon, Commun. Math. Phys. 50, 69-77, (1976).
- (1976) Commun. Math. Phys. , vol.50 , pp. 69-77
- Hénon, M.¹

15
- 0001870459
- M. Benedicks and L. Carleson, Ann. Math. 133, 73-169 (1991).
- (1991) Ann. Math. , vol.133 , pp. 73-169
- Benedicks, M.¹ Carleson, L.²

16
- 85000310299
- Y. C. Lai, C. Grebogi, J. A. Yorke, and I. Kan, Nonlinearity 6, 8-16 (1993).
- (1993) Nonlinearity , vol.6 , pp. 8-16
- Lai, Y.C.¹ Grebogi, C.² Yorke, J.A.³ Kan, I.⁴

17
- 0039933368
- in Russian
- V. S. Afraimovich, V. V. Bykov, and L. P. Shil'nikov, Usp. Mat. Nauk 36, 231 (1980) [in Russian].
- (1980) Usp. Mat. Nauk , vol.36 , pp. 231
- Afraimovich, V.S.¹ Bykov, V.V.² Shil'nikov, L.P.³

18
- 0039341097
- A. L. Shil'nikov and L. P. Shil'nikov, Int. J. Bifurcation Chaos 1, 773-776 (1991).
- (1991) Int. J. Bifurcation Chaos , vol.1 , pp. 773-776
- Shil'nikov, A.L.¹ Shil'nikov, L.P.²

19
- 0041120265
- originally published in Methods of Qualitative Theory of Differential Equations (Gorki University Press, Gorki, 1989) (in Russian)
- V. V. Bykov and A. L. Shil'nikov, Selecta Math. Sov. 11, 375-382 (1992) [originally published in Methods of Qualitative Theory of Differential Equations (Gorki University Press, Gorki, 1989) (in Russian)].
- (1992) Selecta Math. Sov. , vol.11 , pp. 375-382
- Bykov, V.V.¹ Shil'nikov, A.L.²

20
- 0000069184
- P. Holmes, Philos. Trans. R. Soc. London Ser. A 292, 419-448 (1979).
- (1979) Philos. Trans. R. Soc. London Ser. A , vol.292 , pp. 419-448
- Holmes, P.¹

21
- 33746672747
- J. Ueda, J. Stat. Phys. 20, 181-190 (1979).
- (1979) J. Stat. Phys. , vol.20 , pp. 181-190
- Ueda, J.¹

22
- 0039341143
- A. S. Dmitriev, Yu. A. Komlev, and D. V. Turaev, Int. J. Bifurcation Chaos, 2, 93-100 (1992).
- (1992) Int. J. Bifurcation Chaos , vol.2 , pp. 93-100
- Dmitriev, A.S.¹ Komlev, Yu.A.² Turaev, D.V.³

23
- 0041120267
- in Russian
- A. D. Morozov and L. P. Shil'nikov, J. Appl. Math. Mech. 47, 383-394 (1983) (in Russian).
- (1983) J. Appl. Math. Mech. , vol.47 , pp. 383-394
- Morozov, A.D.¹ Shil'nikov, L.P.²

24
- 0041120270
- edited by G. I. Barenblatt, G. Iooss, and D. D. Joseph Pitman, Boston
- V. S. Afraimovich and L. P. Shil'nikov, in Nonlinear Dynamics and Turbulence, edited by G. I. Barenblatt, G. Iooss, and D. D. Joseph (Pitman, Boston, 1983).
- (1983) Nonlinear Dynamics and Turbulence
- Afraimovich, V.S.¹ Shil'nikov, L.P.²

25
- 0041120268
- edited by S. S. Cairns Princeton University Press, Princeton, NJ
- S. Smale, Differentiable and Combinatorial Topology, edited by S. S. Cairns (Princeton University Press, Princeton, NJ, 1963).
- (1963) Differentiable and Combinatorial Topology
- Smale, S.¹

26
- 0000063614
- L. P. Shil'nikov, Math. USSR Sb. 3, 353-371 (1967).
- (1967) Math. USSR Sb. , vol.3 , pp. 353-371
- Shil'nikov, L.P.¹

27
- 0011277539
- S. V. Gonchenko, D. V. Turaev, and L. P. Shil'nikov, Russ. Acad. Sci. Dokl. Math. 47, 268-273 (1993).
- (1993) Russ. Acad. Sci. Dokl. Math. , vol.47 , pp. 268-273
- Gonchenko, S.V.¹ Turaev, D.V.² Shil'nikov, L.P.³

28
- 51249181043
- S. E. Newhouse, Publ. Math. Inst. Haute Etudes Sci. 50, 101-151 (1979).
- (1979) Publ. Math. Inst. Haute Etudes Sci. , vol.50 , pp. 101-151
- Newhouse, S.E.¹

29
- 84958277230
- IMPA preprint, 1992
- J. Palis and M. Viana, IMPA preprint, 1992.
- Palis, J.¹ Viana, M.²

30
- 0011317754
- S. V. Gonchenko, D. V. Turaev, and L. P. Shil'nikov, Sov. Math. Dokl. 44, 422-426 (1992) [Dokl. Akad. Nauk SSSR 320, 269-272 (1991)].
- (1992) Sov. Math. Dokl. , vol.44 , pp. 422-426
- Gonchenko, S.V.¹ Turaev, D.V.² Shil'nikov, L.P.³

31
- 0001684820
- S. V. Gonchenko, D. V. Turaev, and L. P. Shil'nikov, Sov. Math. Dokl. 44, 422-426 (1992) [Dokl. Akad. Nauk SSSR 320, 269-272 (1991)].
- (1991) Dokl. Akad. Nauk SSSR , vol.320 , pp. 269-272

32
- 43949172086
- S. V. Gonchenko, L. P. Shil'nikov, and D. V. Turaev, Physica D 62, 1-14 (1993).
- (1993) Physica D , vol.62 , pp. 1-14
- Gonchenko, S.V.¹ Shil'nikov, L.P.² Turaev, D.V.³

33
- 0000462372
- L. Tedeschini-Lalli and J. A. Yorke, Commun. Math. Phys. 106, 635-657 (1986).
- (1986) Commun. Math. Phys. , vol.106 , pp. 635-657
- Tedeschini-Lalli, L.¹ Yorke, J.A.²

34
- 0000936965
- N. K. Gavrilov and L. P. Shil'nikov, Math. USSR Sb. 17, 446-485 (1972); 19, 1-37 (1973).
- (1972) Math. USSR Sb. , vol.17 , pp. 446-485
- Gavrilov, N.K.¹ Shil'nikov, L.P.²

35
- 85000263829
- N. K. Gavrilov and L. P. Shil'nikov, Math. USSR Sb. 17, 446-485 (1972); 19, 1-37 (1973).
- (1973) Math. USSR Sb. , vol.19 , pp. 1-37

36
- 32044475236
- S. E. Newhouse, Topology, 12, 9-18 (1974).
- (1974) Topology , vol.12 , pp. 9-18
- Newhouse, S.E.¹

37
- 0011271968
- S. V. Gonchenko, D. V. Turaev, and L. P. Shil'nikov, Russ. Acad. Si. Dokl. Math. 47, 410-415 (1993).
- (1993) Russ. Acad. Si. Dokl. Math. , vol.47 , pp. 410-415
- Gonchenko, S.V.¹ Turaev, D.V.² Shil'nikov, L.P.³

38
- 0001441740
- M. W. Hirsh, C. C. Pugh, and M. Shub, Lect. Notes Math. 583, 1-128 (1977).
- (1977) Lect. Notes Math. , vol.583 , pp. 1-128
- Hirsh, M.W.¹ Pugh, C.C.² Shub, M.³

39
- 21344497876
- A. L. Shil'nikov, L. P. Shil'nikov, and D. V. Turaev, Int. J. Bifurcation Chaos 3, 1123-1139 (1993).
- (1993) Int. J. Bifurcation Chaos , vol.3 , pp. 1123-1139
- Shil'nikov, A.L.¹ Shil'nikov, L.P.² Turaev, D.V.³

40
- 0022026598
- A. Arneodo, P. H. Collet, E. A. Spiegel, and C. Tresser, Physica D 14, 327-347 (1985).
- (1985) Physica D , vol.14 , pp. 327-347
- Arneodo, A.¹ Collet, P.H.² Spiegel, E.A.³ Tresser, C.⁴

41
- 0001640825
- J. Kaplan and J. Yorke, Lect. Notes Math. 730, 228-237 (1979).
- (1979) Lect. Notes Math. , vol.730 , pp. 228-237
- Kaplan, J.¹ Yorke, J.²

42
- 0011541555
- S. V. Gonchenko and L. P. Shil'nikov, Uk. Math. J. 42, 153-159 (1990).
- (1990) Uk. Math. J. , vol.42 , pp. 153-159
- Gonchenko, S.V.¹ Shil'nikov, L.P.²

43
- 84970084626
- S. V. Gonchenko and L. P. Shil'nikov, Russ. Acad. Sci. Izv. Math. 41, 417-445 (1993) [Izv. Ross. Akad. Nauk Ser. Mat. 56, 1135-1164 (1992)].
- (1993) Russ. Acad. Sci. Izv. Math. , vol.41 , pp. 417-445
- Gonchenko, S.V.¹ Shil'nikov, L.P.²

44
- 84970084626
- S. V. Gonchenko and L. P. Shil'nikov, Russ. Acad. Sci. Izv. Math. 41, 417-445 (1993) [Izv. Ross. Akad. Nauk Ser. Mat. 56, 1135-1164 (1992)].
- (1992) Izv. Ross. Akad. Nauk Ser. Mat. , vol.56 , pp. 1135-1164

45
- 0039341093
- Gorki University Press, Gorki, (in Russian)
- S. V. Gonchenko, in Methods of Qualitative Theory of Differential Equations (Gorki University Press, Gorki, 1984) (in Russian).
- (1984) Methods of Qualitative Theory of Differential Equations
- Gonchenko, S.V.¹

46
- 0001448221
- S. V. Gonchenko and L. P. Shil'nikov, Sov. Math. Dokl. 33, 234-238 (1986).
- (1986) Sov. Math. Dokl. , vol.33 , pp. 234-238
- Gonchenko, S.V.¹ Shil'nikov, L.P.²

47
- 0002223695
- S. V. Gonchenko and L. P. Shil'nikov, Uk. Math. J. 39, 21-28 (1987).
- (1987) Uk. Math. J. , vol.39 , pp. 21-28
- Gonchenko, S.V.¹ Shil'nikov, L.P.²

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.