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Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 78, Issue 3, 2008, Pages

Zero Lyapunov exponent in the vicinity of the saddle-node bifurcation point in the presence of noise

(3) Hramov, Alexander E a Koronovskii, Alexey A a Kurovskaya, Maria K a

a SARATOV STATE UNIVERSITY (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); CIRCUIT OSCILLATIONS; CONTROL SYSTEM ANALYSIS; CONTROL THEORY; DIFFERENTIAL EQUATIONS; LYAPUNOV METHODS; NUMERICAL ANALYSIS; PARAMETER ESTIMATION; TELECOMMUNICATION NETWORKS;

BIFURCATION POINTS; CHAOTIC OSCILLATORS; CONTROL PARAMETERS; DYNAMICAL MECHANISMS; LYAPUNOV EXPONENT; NUMERICAL CALCULATIONS; RANDOM DYNAMICS; RANDOM FORCING; SADDLE-NODE BIFURCATIONS;

CHAOTIC SYSTEMS;

EID: 51849158291 PISSN: 15393755 EISSN: 15502376 Source Type: Journal
DOI: 10.1103/PhysRevE.78.036212 Document Type: Article

Times cited : (43)

References (43)

1
- 33748796060
- PLEEE8 1063-651X 10.1103/PhysRevE.74.036205
- K. Thamilmaran, D. V. Senthilkumar, A. Venkatesan, and M. Lakshmanan, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.036205 74, 036205 (2006).
- (2006) Phys. Rev. e , vol.74 , pp. 036205
- Thamilmaran, K.¹ Senthilkumar, D.V.² Venkatesan, A.³ Lakshmanan, M.⁴

2
- 35549008878
- PLEEE8 1063-651X 10.1103/PhysRevE.76.021120
- T. E. Karakasidis, A. Fragkou, and A. Liakopoulos, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.76.021120 76, 021120 (2007).
- (2007) Phys. Rev. e , vol.76 , pp. 021120
- Karakasidis, T.E.¹ Fragkou, A.² Liakopoulos, A.³

3
- 0034316715
- PLEEE8 1063-651X 10.1103/PhysRevE.62.6496
- W. M. Macek and S. Redaelli, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.6496 62, 6496 (2000).
- (2000) Phys. Rev. e , vol.62 , pp. 6496
- MacEk, W.M.¹ Redaelli, S.²

4
- 18744434286
- PLEEE8 1063-651X 10.1103/PhysRevE.64.010902
- R. Porcher and G. Thomas, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.010902 64, 010902 (R) (2001).
- (2001) Phys. Rev. e , vol.64 , pp. 010902
- Porcher, R.¹ Thomas, G.²

5
- 0034315452
- PLEEE8 1063-651X 10.1103/PhysRevE.62.6505
- R. M. Dünki, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.6505 62, 6505 (2000).
- (2000) Phys. Rev. e , vol.62 , pp. 6505
- Dünki, R.M.¹

6
- 84856011122
- RPQEAC 0033-8443
- S. P. Kuznetsov and D. I. Trubetskov, Radiophys. Quantum Electron. RPQEAC 0033-8443 47, 341 (2004).
- (2004) Radiophys. Quantum Electron. , vol.47 , pp. 341
- Kuznetsov, S.P.¹ Trubetskov, D.I.²

7
- 28844490183
- PRLTAO 0031-9007 10.1103/PhysRevLett.95.144101
- S. P. Kuznetsov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 95.144101 95, 144101 (2005).
- (2005) Phys. Rev. Lett. , vol.95 , pp. 144101
- Kuznetsov, S.P.¹

8
- 0000505291
- PLEEE8 1063-651X 10.1103/PhysRevE.54.R4508
- K. Pyragas, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.54.R4508 54, R4508 (1996).
- (1996) Phys. Rev. e , vol.54 , pp. 4508
- Pyragas, K.¹

9
- 27944442884
- PLEEE8 1063-651X 10.1103/PhysRevE.71.067201
- A. E. Hramov and A. A. Koronovskii, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.067201 71, 067201 (2005).
- (2005) Phys. Rev. e , vol.71 , pp. 067201
- Hramov, A.E.¹ Koronovskii, A.A.²

10
- 41349083704
- PLEEE8 1063-651X 10.1103/PhysRevE.71.045201
- D. S. Goldobin and A. Pikovsky, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.045201 71, 045201 (R) (2005).
- (2005) Phys. Rev. e , vol.71 , pp. 045201
- Goldobin, D.S.¹ Pikovsky, A.²

11
- 15344351536
- PHYADX 0378-4371 10.1016/j.physa.2004.12.014
- D. S. Goldobin and A. Pikovsky, Physica A PHYADX 0378-4371 10.1016/j.physa.2004.12.014 351, 126 (2005).
- (2005) Physica A , vol.351 , pp. 126
- Goldobin, D.S.¹ Pikovsky, A.²

12
- 33646512820
- PYLAAG 0375-9601 10.1016/j.physleta.2006.01.079
- A. E. Hramov, A. A. Koronovskii, and O. I. Moskalenko, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2006.01.079 354, 423 (2006).
- (2006) Phys. Lett. A , vol.354 , pp. 423
- Hramov, A.E.¹ Koronovskii, A.A.² Moskalenko, O.I.³

13
- 0031548743
- PRLTAO 0031-9007 10.1103/PhysRevLett.78.4193
- M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.4193 78, 4193 (1997).
- (1997) Phys. Rev. Lett. , vol.78 , pp. 4193
- Rosenblum, M.G.¹ Pikovsky, A.S.² Kurths, J.³

14
- 0041528328
- PRLTAO 0031-9007 10.1103/PhysRevLett.91.024101
- G. V. Osipov, B. Hu, C. T. Zhou, M. V. Ivanchenko, and J. Kurths, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.024101 91, 024101 (2003).
- (2003) Phys. Rev. Lett. , vol.91 , pp. 024101
- Osipov, G.V.¹ Hu, B.² Zhou, C.T.³ Ivanchenko, M.V.⁴ Kurths, J.⁵

15
- 33947146571
- PLEEE8 1063-651X 10.1103/PhysRevE.75.036205
- A. E. Hramov, A. A. Koronovskii, and M. K. Kurovskaya, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.75.036205 75, 036205 (2007a).
- (2007) Phys. Rev. e , vol.75 , pp. 036205
- Hramov, A.E.¹ Koronovskii, A.A.² Kurovskaya, M.K.³

16
- 33750967611
- PDNPDT 0167-2789 10.1016/j.physd.2006.09.032
- A. Politi, F. Ginelli, S. Yanchuk, and Y. Maistrenko, Physica D PDNPDT 0167-2789 10.1016/j.physd.2006.09.032 224, 90 (2006).
- (2006) Physica D , vol.224 , pp. 90
- Politi, A.¹ Ginelli, F.² Yanchuk, S.³ Maistrenko, Y.⁴

17
- 41549115508
- PLEEE8 1063-651X 10.1103/PhysRevE.77.036215
- A. E. Hramov, A. A. Koronovskii, and P. V. Popov, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.77.036215 77, 036215 (2008).
- (2008) Phys. Rev. e , vol.77 , pp. 036215
- Hramov, A.E.¹ Koronovskii, A.A.² Popov, P.V.³

18
- 0034315475
- PLEEE8 1063-651X 10.1103/PhysRevE.62.6304
- W.-H. Kye and C.-M. Kim, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.6304 62, 6304 (2000).
- (2000) Phys. Rev. e , vol.62 , pp. 6304
- Kye, W.-H.¹ Kim, C.-M.²

19
- 0242495151
- PLEEE8 1063-651X 10.1103/PhysRevE.68.036203
- W.-H. Kye, S. Rim, C.-M. Kim, J.-H. Lee, J.-W. Ryu, B.-S. Yeom, and Y.-J. Park, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.036203 68, 036203 (2003).
- (2003) Phys. Rev. e , vol.68 , pp. 036203
- Kye, W.-H.¹ Rim, S.² Kim, C.-M.³ Lee, J.-H.⁴ Ryu, J.-W.⁵ Yeom, B.-S.⁶ Park, Y.-J.⁷

20
- 34547855456
- PLEEE8 1063-651X 10.1103/PhysRevE.76.026206
- A. E. Hramov, A. A. Koronovskii, M. K. Kurovskaya, A. A. Ovchinnikov, and S. Boccaletti, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.76.026206 76, 026206 (2007).
- (2007) Phys. Rev. e , vol.76 , pp. 026206
- Hramov, A.E.¹ Koronovskii, A.A.² Kurovskaya, M.K.³ Ovchinnikov, A.A.⁴ Boccaletti, S.⁵

21
- 44649167595
- EPJBFY 1434-6028 10.1140/epjb/e2008-00185-x
- A. A. Koronovskii and A. E. Hramov, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2008-00185-x 62, 447 (2008).
- (2008) Eur. Phys. J. B , vol.62 , pp. 447
- Koronovskii, A.A.¹ Hramov, A.E.²

22
- 0036285235
- PRPLCM 0370-1573 10.1016/S0370-1573(02)00137-0
- S. Boccaletti, J. Kurths, G. V. Osipov, D. L. Valladares, and C. T. Zhou, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(02)00137-0 366, 1 (2002).
- (2002) Phys. Rep. , vol.366 , pp. 1
- Boccaletti, S.¹ Kurths, J.² Osipov, G.V.³ Valladares, D.L.⁴ Zhou, C.T.⁵

23
- 0037897264
- PRLTAO 0031-9007 10.1103/PhysRevLett.89.194101
- S. Boccaletti, E. Allaria, R. Meucci, and F. T. Arecchi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.194101 89, 194101 (2002).
- (2002) Phys. Rev. Lett. , vol.89 , pp. 194101
- Boccaletti, S.¹ Allaria, E.² Meucci, R.³ Arecchi, F.T.⁴

24
- 0034560056
- IJBEE4 0218-1274 10.1142/S0218127400001481
- A. S. Pikovsky, M. G. Rosenblum, and J. Kurths, Int. J. Bifurcation Chaos Appl. Sci. Eng. IJBEE4 0218-1274 10.1142/S0218127400001481 10, 2291 (2000).
- (2000) Int. J. Bifurcation Chaos Appl. Sci. Eng. , vol.10 , pp. 2291
- Pikovsky, A.S.¹ Rosenblum, M.G.² Kurths, J.³

25
- 33748702499
- PRLTAO 0031-9007 10.1103/PhysRevLett.97.114101
- A. E. Hramov, A. A. Koronovskii, M. K. Kurovskaya, and S. Boccaletti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.114101 97, 114101 (2006b).
- (2006) Phys. Rev. Lett. , vol.97 , pp. 114101
- Hramov, A.E.¹ Koronovskii, A.A.² Kurovskaya, M.K.³ Boccaletti, S.⁴

26
- 17444382843
- PDNPDT 0167-2789 10.1016/S0167-2789(96)00301-6
- A. S. Pikovsky, M. G. Rosenblum, G. V. Osipov, and J. Kurths, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(96)00301-6 104, 219 (1997a).
- (1997) Physica D , vol.104 , pp. 219
- Pikovsky, A.S.¹ Rosenblum, M.G.² Osipov, G.V.³ Kurths, J.⁴

27
- 34250254669
- CMPHAY 0010-3616 10.1007/BF01197757
- Y. Pomeau and P. Manneville, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01197757 74, 189 (1980).
- (1980) Commun. Math. Phys. , vol.74 , pp. 189
- Pomeau, Y.¹ Manneville, P.²

28
- 45949127771
- PDNPDT 0167-2789 10.1016/0167-2789(80)90013-5
- P. Manneville and Y. Pomeau, Physica D PDNPDT 0167-2789 10.1016/0167-2789(80)90013-5 1, 167 (1980).
- (1980) Physica D , vol.1 , pp. 167
- Manneville, P.¹ Pomeau, Y.²

29
- 0003537546
- Hermann, Paris
- P. Bergé, Y. Pomeau, and C. Vidal, L'Ordre Dans Le Chaos (Hermann, Paris, 1988).
- (1988) L'Ordre dans le Chaos
- Bergé, P.¹ Pomeau, Y.² Vidal, C.³

30
- 29144528928
- EULEEJ 0295-5075 10.1209/epl/i2005-10343-4
- A. E. Hramov, A. A. Koronovskii, and O. I. Moskalenko, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2005-10343-4 72, 901 (2005).
- (2005) Europhys. Lett. , vol.72 , pp. 901
- Hramov, A.E.¹ Koronovskii, A.A.² Moskalenko, O.I.³

31
- 33847733185
- PTPKAV 0033-068X
- T. Yamada, T. Horita, K. Ouchi, and H. Fujisaka, Prog. Theor. Phys. PTPKAV 0033-068X 116, 819 (2006).
- (2006) Prog. Theor. Phys. , vol.116 , pp. 819
- Yamada, T.¹ Horita, T.² Ouchi, K.³ Fujisaka, H.⁴

32
- 44249110258
- PTPKAV 0033-068X
- T. Horita, K. Ouchi, T. Yamada, and H. Fujisaka, Prog. Theor. Phys. PTPKAV 0033-068X 119, 223 (2008).
- (2008) Prog. Theor. Phys. , vol.119 , pp. 223
- Horita, T.¹ Ouchi, K.² Yamada, T.³ Fujisaka, H.⁴

33
- 27944465017
- PLEEE8 1063-651X 10.1103/PhysRevE.71.065201
- O. V. Popovych, Y. L. Maistrenko, and P. A. Tass, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.065201 71, 065201 (R) (2005).
- (2005) Phys. Rev. e , vol.71 , pp. 065201
- Popovych, O.V.¹ Maistrenko, Y.L.² Tass, P.A.³

34
- 0000376090
- CHAOEH 1054-1500 10.1063/1.166265
- A. S. Pikovsky, M. Zaks, M. G. Rosenblum, G. V. Osipov, and J. Kurths, Chaos CHAOEH 1054-1500 10.1063/1.166265 7, 680 (1997).
- (1997) Chaos , vol.7 , pp. 680
- Pikovsky, A.S.¹ Zaks, M.² Rosenblum, M.G.³ Osipov, G.V.⁴ Kurths, J.⁵

35
- 0000875896
- PRLTAO 0031-9007 10.1103/PhysRevLett.81.321
- K. J. Lee, Y. Kwak, and T. K. Lim, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.321 81, 321 (1998).
- (1998) Phys. Rev. Lett. , vol.81 , pp. 321
- Lee, K.J.¹ Kwak, Y.² Lim, T.K.³

36
- 0000326025
- PRLTAO 0031-9007 10.1103/PhysRevLett.80.1642
- E. Rosa, E. Ott, and M. H. Hess, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.1642 80, 1642 (1998).
- (1998) Phys. Rev. Lett. , vol.80 , pp. 1642
- Rosa, E.¹ Ott, E.² Hess, M.H.³

37
- 0001963650
- PRLTAO 0031-9007 10.1103/PhysRevLett.79.47
- A. S. Pikovsky, G. V. Osipov, M. G. Rosenblum, M. Zaks, and J. Kurths, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.47 79, 47 (1997).
- (1997) Phys. Rev. Lett. , vol.79 , pp. 47
- Pikovsky, A.S.¹ Osipov, G.V.² Rosenblum, M.G.³ Zaks, M.⁴ Kurths, J.⁵

38
- 0001078820
- PLEEE8 1063-651X 10.1103/PhysRevE.60.2761
- A. Prasad and R. Ramaswamy, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.2761 60, 2761 (1999).
- (1999) Phys. Rev. e , vol.60 , pp. 2761
- Prasad, A.¹ Ramaswamy, R.²

39
- 42749104388
- PLEEE8 1063-651X 10.1103/PhysRevE.67.061117
- R. Zillmer and A. S. Pikovsky, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.061117 67, 061117 (2003).
- (2003) Phys. Rev. e , vol.67 , pp. 061117
- Zillmer, R.¹ Pikovsky, A.S.²

40
- 33344454731
- PLEEE8 1063-651X 10.1103/PhysRevE.73.026208
- A. E. Hramov, A. A. Koronovskii, V. I. Ponomarenko, and M. D. Prokhorov, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.026208 73, 026208 (2006).
- (2006) Phys. Rev. e , vol.73 , pp. 026208
- Hramov, A.E.¹ Koronovskii, A.A.² Ponomarenko, V.I.³ Prokhorov, M.D.⁴

41
- 33846106805
- CHAOEH 1054-1500 10.1063/1.2360505
- A. E. Hramov, A. A. Koronovskii, I. S. Midzyanovskaya, E. Sitnikova, and C. M. Rijn, Chaos CHAOEH 1054-1500 10.1063/1.2360505 16, 043111 (2006).
- (2006) Chaos , vol.16 , pp. 043111
- Hramov, A.E.¹ Koronovskii, A.A.² Midzyanovskaya, I.S.³ Sitnikova, E.⁴ Rijn, C.M.⁵

42
- 34347248095
- PLEEE8 1063-651X 10.1103/PhysRevE.75.056207
- A. E. Hramov, A. A. Koronovskii, V. I. Ponomarenko, and M. D. Prokhorov, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.75.056207 75, 056207 (2007).
- (2007) Phys. Rev. e , vol.75 , pp. 056207
- Hramov, A.E.¹ Koronovskii, A.A.² Ponomarenko, V.I.³ Prokhorov, M.D.⁴

43
- 33745272557
- PTPSEP 0375-9687
- T. Horita, T. Yamada, and H. Fujisaka, Prog. Theor. Phys. Suppl. PTPSEP 0375-9687 161, 199 (2006).
- (2006) Prog. Theor. Phys. Suppl. , vol.161 , pp. 199
- Horita, T.¹ Yamada, T.² Fujisaka, H.³

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