SCOPUS 정보 검색 플랫폼

Physica A: Statistical Mechanics and its Applications

Volumn 338, Issue 3-4, 2004, Pages 335-355

Rhythm synchronization and chaotic modulation of coupled Van der Pol oscillators in a model for the heartbeat

(3) Dos Santos, Angela M a Lopes, Sergio R a Viana, Ricardo L a

a FEDERAL UNIVERSITY OF PARANÁ (Brazil)

Author keywords

Coupled oscillators; Synchronization; Van der Pol equation

Indexed keywords

CHAOS THEORY; ELECTROCARDIOGRAPHY; PACEMAKERS; SYNCHRONIZATION; TRAJECTORIES;

CHAOTIC MODULATION; COUPLED OSCILLATORS; VAN DER POL EQUATION;

OSCILLATORS (ELECTRONIC);

EID: 2942564545 PISSN: 03784371 EISSN: None Source Type: Journal
DOI: 10.1016/j.physa.2004.02.058 Document Type: Article

Times cited : (72)

References (49)

1
- 0000401026
- Van der Pol D., Van der Mark J. Philos. Mag. 6:1928;763.
- (1928) Philos. Mag. , vol.6 , pp. 763
- Van der Pol, D.¹ Van der Mark, J.²

2
- 0017620779
- Katholi C.R., Urthaler F., Macy J. Jr., James T.N. Comp. Biom. Res. 10:1977;529.
- (1977) Comp. Biom. Res. , vol.10 , pp. 529
- Katholi, C.R.¹ Urthaler, F.² Macy Jr., J.³ James, T.N.⁴

3
- 0020658695
- Honerkamp J. J. Math. Biol. 18:1983;69.
- (1983) J. Math. Biol. , vol.18 , pp. 69
- Honerkamp, J.¹

4
- 0004214821
- New York-Heidelberg-Berlin: Springer
- Glass L. Theory of Heart. 1990;Springer, New York-Heidelberg-Berlin.
- (1990) Theory of Heart
- Glass, L.¹

5
- 0002826353
- Glass L., Guevara M.R., Shrier A., Perez R. Physica D. 7:1983;89.
- (1983) Physica D , vol.7 , pp. 89
- Glass, L.¹ Guevara, M.R.² Shrier, A.³ Perez, R.⁴

6
- 0024906193
- Courtemanche M., Glass L., Bélair J., Scagliotti D., Gordon D. Physica D. 40:1989;299.
- (1989) Physica D , vol.40 , pp. 299
- Courtemanche, M.¹ Glass, L.² Bélair, J.³ Scagliotti, D.⁴ Gordon, D.⁵

7
- 21844496010
- Chay T.R. Int. J. Bifurcat. Chaos. 5:1995;1439.
- (1995) Int. J. Bifurcat. Chaos , vol.5 , pp. 1439
- Chay, T.R.¹

8
- 0000615910
- Noble D. Chaos, Solit. Fract. 5:1995;321.
- (1995) Chaos, Solit. Fract. , vol.5 , pp. 321
- Noble, D.¹

9
- 2942603178
- Glass L. Nature. 410:2001;279.
- (2001) Nature , vol.410 , pp. 279
- Glass, L.¹

10
- 0008023859
- Engelbrecht J., Kongas O. Appl. Anal. 57:1995;119.
- (1995) Appl. Anal. , vol.57 , pp. 119
- Engelbrecht, J.¹ Kongas, O.²

11
- 0003594964
- Cambridge: Cambridge University Press
- Pikovsky A., Rosenblum M., Kurths J. Synchronization: A Universal Concept in Non-linear Sciences. 2001;Cambridge University Press, Cambridge.
- (2001) Synchronization: A Universal Concept in Non-linear Sciences
- Pikovsky, A.¹ Rosenblum, M.² Kurths, J.³

12
- 29444455662
- New York: W. B. Saunders
- Saksena F.B., Goldshlager N. Electrical Therapy of Cardiac Arrhythmias. 1990;W. B. Saunders, New York.
- (1990) Electrical Therapy of Cardiac Arrhythmias
- Saksena, F.B.¹ Goldshlager, N.²

13
- 0000601493
- Shinbrot T., Grebogi C., Ott E., Yorke J.A. Nature. 363:1993;411.
- (1993) Nature , vol.363 , pp. 411
- Shinbrot, T.¹ Grebogi, C.² Ott, E.³ Yorke, J.A.⁴

14
- 0026787809
- Garfinkel A., Spano M.L., Ditto W.L., Weiss J.N. Science. 257:1992;1230.
- (1992) Science , vol.257 , pp. 1230
- Garfinkel, A.¹ Spano, M.L.² Ditto, W.L.³ Weiss, J.N.⁴

15
- 0017689664
- Moe G.K., Alife J., Mueller W.J., Moe B.C. Circulation. 56:1977;968.
- (1977) Circulation , vol.56 , pp. 968
- Moe, G.K.¹ Alife, J.² Mueller, W.J.³ Moe, B.C.⁴

16
- 0027451375
- De Paola R., Wang H.X., Norwood W.I. Am. J. Physiol. 265:1993;H1603.
- (1993) Am. J. Physiol. , vol.265
- De Paola, R.¹ Wang, H.X.² Norwood, W.I.³

17
- 18044401098
- Schulte-Frohlinde V., Ashkenazy Y., Ivanov P.C., Glass L., Goldberger A.L., Stanley H.E. Phys. Rev. Lett. 87:2001;068104.
- (2001) Phys. Rev. Lett. , vol.87 , pp. 068104
- Schulte-Frohlinde, V.¹ Ashkenazy, Y.² Ivanov, P.C.³ Glass, L.⁴ Goldberger, A.L.⁵ Stanley, H.E.⁶

18
- 0029773391
- Ivanov P.C., Rosenblum M.G., Peng C.K., Mietus J., Havlin S., Stanley H.E., Goldberger A.L. Nature. 383:1996;323.
- (1996) Nature , vol.383 , pp. 323
- Ivanov, P.C.¹ Rosenblum, M.G.² Peng, C.K.³ Mietus, J.⁴ Havlin, S.⁵ Stanley, H.E.⁶ Goldberger, A.L.⁷

19
- 0344327144
- Ivanov P.C., Amaral L.A.N., Goldberger A.L., Havlin S., Rosenblum M.G., Struzik Z.R., Stanley H.E. Nature. 399:1999;461.
- (1999) Nature , vol.399 , pp. 461
- Ivanov, P.C.¹ Amaral, L.A.N.² Goldberger, A.L.³ Havlin, S.⁴ Rosenblum, M.G.⁵ Struzik, Z.R.⁶ Stanley, H.E.⁷

20
- 0000029161
- Liebovitch L.S., Todorov A.T., Zochowski M., Scheurle D., Colgin L., Wood M.A., Ellenbogen K.A., Herre J.M., Bernstein R.C. Phys. Rev. E. 59:1999;3312.
- (1999) Phys. Rev. E , vol.59 , pp. 3312
- Liebovitch, L.S.¹ Todorov, A.T.² Zochowski, M.³ Scheurle, D.⁴ Colgin, L.⁵ Wood, M.A.⁶ Ellenbogen, K.A.⁷ Herre, J.M.⁸ Bernstein, R.C.⁹

21
- 41349117141
- Kotani K., Takamasu K., Ashkenazy Y., Stanley H.E., Yamamoto Y. Phys. Rev. E. 65:2002;051923.
- (2002) Phys. Rev. E , vol.65 , pp. 051923
- Kotani, K.¹ Takamasu, K.² Ashkenazy, Y.³ Stanley, H.E.⁴ Yamamoto, Y.⁵

22
- 0032528634
- Ivanov P.C., Amaral L.A.N., Goldberger A.L., Stanley H.E. Europhys. Lett. 43:1998;363.
- (1998) Europhys. Lett. , vol.43 , pp. 363
- Ivanov, P.C.¹ Amaral, L.A.N.² Goldberger, A.L.³ Stanley, H.E.⁴

23
- 73349136050
- Bocalletti S., Kurths J., Osipov G., Valladares D., Zhou C.S. Phys. Rep. 366:2002;1.
- (2002) Phys. Rep. , vol.366 , pp. 1
- Bocalletti, S.¹ Kurths, J.² Osipov, G.³ Valladares, D.⁴ Zhou, C.S.⁵

24
- 4243262725
- Rosenblum M.G., Pikovsky A.S., Kurths J. Phys. Rev. Lett. 76:1996;1804 Pikovsky A.S., Rosenblum M.G., Osipov G.V., Kurths J. Physica D. 104:1997;219.
- (1996) Phys. Rev. Lett. , vol.76 , pp. 1804
- Rosenblum, M.G.¹ Pikovsky, A.S.² Kurths, J.³

25
- 17444382843
- Rosenblum M.G., Pikovsky A.S., Kurths J. Phys. Rev. Lett. 76:1996;1804 Pikovsky A.S., Rosenblum M.G., Osipov G.V., Kurths J. Physica D. 104:1997;219.
- (1997) Physica D , vol.104 , pp. 219
- Pikovsky, A.S.¹ Rosenblum, M.G.² Osipov, G.V.³ Kurths, J.⁴

26
- 0002564801
- Anosov D.V. Proc. Steklov Inst. Math. 90:1967;1.
- (1967) Proc. Steklov Inst. Math. , vol.90 , pp. 1
- Anosov, D.V.¹

27
- 29444435144
- Bowen R. J. Differential Equations. 18:1975;333.
- (1975) J. Differential Equations , vol.18 , pp. 333
- Bowen, R.¹

28
- 45949120176
- Grebogi C., Hammel S., Yorke J.A. J. Complexity. 3:1987;136 Grebogi C., Hammel S., Yorke J.A. Bull. Am. Math. Soc. 19:1988;465 Grebogi C., Hammel S., Yorke J.A., Sauer T. Phys. Rev. Lett. 65:1990;1527.
- (1987) J. Complexity , vol.3 , pp. 136
- Grebogi, C.¹ Hammel, S.² Yorke, J.A.³

29
- 84968480383
- Grebogi C., Hammel S., Yorke J.A. J. Complexity. 3:1987;136 Grebogi C., Hammel S., Yorke J.A. Bull. Am. Math. Soc. 19:1988;465 Grebogi C., Hammel S., Yorke J.A., Sauer T. Phys. Rev. Lett. 65:1990;1527.
- (1988) Bull. Am. Math. Soc. , vol.19 , pp. 465
- Grebogi, C.¹ Hammel, S.² Yorke, J.A.³

30
- 0000263135
- Grebogi C., Hammel S., Yorke J.A. J. Complexity. 3:1987;136 Grebogi C., Hammel S., Yorke J.A. Bull. Am. Math. Soc. 19:1988;465 Grebogi C., Hammel S., Yorke J.A., Sauer T. Phys. Rev. Lett. 65:1990;1527.
- (1990) Phys. Rev. Lett. , vol.65 , pp. 1527
- Grebogi, C.¹ Hammel, S.² Yorke, J.A.³ Sauer, T.⁴

31
- 0001874180
- Abraham R., Smale S. Proc. Symp. Pure Math. (AMS). 14:1970;5.
- (1970) Proc. Symp. Pure Math. (AMS) , vol.14 , pp. 5
- Abraham, R.¹ Smale, S.²

32
- 0012521959
- Lai Y.-C., Grebogi C. Int. J. Bifurcat. Chaos. 10:2000;683.
- (2000) Int. J. Bifurcat. Chaos , vol.10 , pp. 683
- Lai, Y.-C.¹ Grebogi, C.²

33
- 0000252317
- Dawson S.P., Grebogi C., Sauer T., Yorke J.A. Phys. Rev. Lett. 73:1994;1927.
- (1994) Phys. Rev. Lett. , vol.73 , pp. 1927
- Dawson, S.P.¹ Grebogi, C.² Sauer, T.³ Yorke, J.A.⁴

34
- 0003478288
- New York: Springer
- Guckenheimer J., Holmes P.J. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. 1983;Springer, New York.
- (1983) Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
- Guckenheimer, J.¹ Holmes, P.J.²

35
- 0031548743
- Rosenblum M.G., Pikowsky A.S., Kurths J. Phys. Rev. Lett. 78:1997;4193.
- (1997) Phys. Rev. Lett. , vol.78 , pp. 4193
- Rosenblum, M.G.¹ Pikowsky, A.S.² Kurths, J.³

36
- 0034560056
- Pikovsky A., Rosenblum M., Kurths J. Int. J. Bifurcat. Chaos. 10:2000;2291.
- (2000) Int. J. Bifurcat. Chaos , vol.10 , pp. 2291
- Pikovsky, A.¹ Rosenblum, M.² Kurths, J.³

37
- 0037081071
- de S. Pinto S.E., Lopes S.R., Viana R.L. Physica A. 303:2002;339.
- (2002) Physica A , vol.303 , pp. 339
- Pinto, S.E.D.S.¹ Lopes, S.R.² Viana, R.L.³

38
- 0037356918
- Kurths J., Boccaletti S., Grebogi C., Lai Y.-C. Chaos. 13:2003;126.
- (2003) Chaos , vol.13 , pp. 126
- Kurths, J.¹ Boccaletti, S.² Grebogi, C.³ Lai, Y.-C.⁴

39
- 0034504623
- Zheng Z., Hu Gang Phys. Rev. E. 62:2000;7882.
- (2000) Phys. Rev. E , vol.62 , pp. 7882
- Zheng, Z.¹ Hu, G.²

40
- 21844516612
- Glass L., Zeng W. Int. J. Bifurcat. Chaos. 4:1994;1061.
- (1994) Int. J. Bifurcat. Chaos , vol.4 , pp. 1061
- Glass, L.¹ Zeng, W.²

41
- 34250135918
- Pikovsky A.S. Z. Phys. B. 55:1984;149.
- (1984) Z. Phys. B , vol.55 , pp. 149
- Pikovsky, A.S.¹

42
- 2942574869
- B. Fiedler (Ed.), Elsevier, Amsterdam, (Chapter 7)
- C. Grebogi, L. Poon, T. Sauer, J.A. Yorke, D. Auerbach, in: B. Fiedler (Ed.), Handbook of Dynamical Systems, Vol. 2, Elsevier, Amsterdam, 2002, (Chapter 7).
- (2002) Handbook of Dynamical Systems , vol.2
- Grebogi, C.¹ Poon, L.² Sauer, T.³ Yorke, J.A.⁴ Auerbach, D.⁵

43
- 0033092741
- Lai Y.-C., Grebogi C., Kurths J. Phys. Rev. E. 59:1999;2907.
- (1999) Phys. Rev. E , vol.59 , pp. 2907
- Lai, Y.-C.¹ Grebogi, C.² Kurths, J.³

44
- 0000339204
- Abarbanel H.D.I., Brown R., Kennel M.B. J. Nonlinear Sci. 1:1991;175.
- (1991) J. Nonlinear Sci. , vol.1 , pp. 175
- Abarbanel, H.D.I.¹ Brown, R.² Kennel, M.B.³

45
- 0002623916
- Kostelich E.J., Kan I., Grebogi C., Ott E., Yorke J.A. Physica D. 109:1997;81.
- (1997) Physica D , vol.109 , pp. 81
- Kostelich, E.J.¹ Kan, I.² Grebogi, C.³ Ott, E.⁴ Yorke, J.A.⁵

46
- 0034228925
- Viana R.L., Grebogi C. Phys. Rev. E. 62:2000;462.
- (2000) Phys. Rev. E , vol.62 , pp. 462
- Viana, R.L.¹ Grebogi, C.²

47
- 0035488690
- Viana R.L., Grebogi C. Int. J. Bifurcat. Chaos. 11:2001;2689.
- (2001) Int. J. Bifurcat. Chaos , vol.11 , pp. 2689
- Viana, R.L.¹ Grebogi, C.²

48
- 0003153450
- Sauer T., Grebogi C., Yorke J.A. Phys. Rev. Lett. 79:1997;59.
- (1997) Phys. Rev. Lett. , vol.79 , pp. 59
- Sauer, T.¹ Grebogi, C.² Yorke, J.A.³

49
- 41349107353
- Sauer T. Phys. Rev. E. 65:2002;036220.
- (2002) Phys. Rev. E , vol.65 , pp. 036220
- Sauer, T.¹

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.