SCOPUS 정보 검색 플랫폼

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

Volumn 69, Issue 2 2, 2004, Pages

Noisy FitzHugh-Nagumo model: From single elements to globally coupled networks

(3) Acebron J A a Bulsara, A R b Rappel, W J a

a UNIVERSITY OF CALIFORNIA (United States)

b Advanced Integrated Circuit Technology Branch (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); MATHEMATICAL MODELS; NATURAL FREQUENCIES; PARAMETER ESTIMATION; POLYNOMIALS; PROBABILITY DENSITY FUNCTION; PROBLEM SOLVING; RANDOM PROCESSES; RESONANCE; SIGNAL TO NOISE RATIO; SPURIOUS SIGNAL NOISE; SQUIDS; SYNCHRONIZATION;

COUPLING CONSTANTS; FITZHUGH-NAGUMO (FHN) MODELS; HOPF BIFURCATIONS; STOCHASTIC RESONANCES;

NEURAL NETWORKS;

EID: 42749100321 PISSN: 1063651X EISSN: None Source Type: Journal
DOI: 10.1103/PhysRevE.69.026202 Document Type: Article

Times cited : (69)

References (46)

1
- 6044223624
- For reviews see A.R. Bulsara and L. Gammaitoni, Phys. Today 49(3), 39 (1996); L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998).
- (1996) Phys. Today , vol.49 , Issue.3 , pp. 39
- Bulsara, A.R.¹ Gammaitoni, L.²

2
- 0039065101
- For reviews see A.R. Bulsara and L. Gammaitoni, Phys. Today 49(3), 39 (1996); L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998).
- (1998) Rev. Mod. Phys. , vol.70 , pp. 223
- Gammaitoni, L.¹ Hänggi, P.² Jung, P.³ Marchesoni, F.⁴

3
- 0001608554
- and references therein
- See, e.g., J. Lindner, S. Chandramouli, A. Bulsara, M. Locher, and W. Ditto, Phys. Rev. Lett. 23, 5048 (1998), and references therein.
- (1998) Phys. Rev. Lett. , vol.23 , pp. 5048
- Lindner, J.¹ Chandramouli, S.² Bulsara, A.³ Locher, M.⁴ Ditto, W.⁵

4
- 0004034319
- Springer Verlag, Berlin
- L. Arnold, Random Dynamical Systems (Springer Verlag, Berlin, 1999).
- (1999) Random Dynamical Systems
- Arnold, L.¹

5
- 0030100521
- M. Inchiosa and A. Bulsara Phys. Rev. E 53, R2021 (1996); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); F. Chapeau-Blondeau, ibid. 55, 2016 (1997); J. Robinson, D. Asraf, A. Bulsara, and M. Inchiosa, Phys. Rev. Lett. 81, 2850 (1998); M. Inchiosa, J. Robinson, and A. Bulsara, ibid. 85, 3369 (2000); S. Kay, IEEE Signal Process. Lett. 7, 8 (2000); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); J. Robinson, J. Rung, A. Bulsara, and M. Inchiosa, ibid. 63, 011107 (2001).
- (1996) Phys. Rev. E , vol.53
- Inchiosa, M.¹ Bulsara, A.²

6
- 4243722345
- M. Inchiosa and A. Bulsara Phys. Rev. E 53, R2021 (1996); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); F. Chapeau-Blondeau, ibid. 55, 2016 (1997); J. Robinson, D. Asraf, A. Bulsara, and M. Inchiosa, Phys. Rev. Lett. 81, 2850 (1998); M. Inchiosa, J. Robinson, and A. Bulsara, ibid. 85, 3369 (2000); S. Kay, IEEE Signal Process. Lett. 7, 8 (2000); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); J. Robinson, J. Rung, A. Bulsara, and M. Inchiosa, ibid. 63, 011107 (2001).
- (1996) Phys. Rev. E , vol.54
- Heneghan, C.¹ Chow, C.C.² Collins, J.J.³ Imhoff, T.T.⁴ Lowen, S.B.⁵ Teich, M.C.⁶

7
- 0343017210
- M. Inchiosa and A. Bulsara Phys. Rev. E 53, R2021 (1996); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); F. Chapeau-Blondeau, ibid. 55, 2016 (1997); J. Robinson, D. Asraf, A. Bulsara, and M. Inchiosa, Phys. Rev. Lett. 81, 2850 (1998); M. Inchiosa, J. Robinson, and A. Bulsara, ibid. 85, 3369 (2000); S. Kay, IEEE Signal Process. Lett. 7, 8 (2000); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); J. Robinson, J. Rung, A. Bulsara, and M. Inchiosa, ibid. 63, 011107 (2001).
- (1997) Phys. Rev. E , vol.55 , pp. 2016
- Chapeau-Blondeau, F.¹

8
- 0001403757
- M. Inchiosa and A. Bulsara Phys. Rev. E 53, R2021 (1996); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); F. Chapeau-Blondeau, ibid. 55, 2016 (1997); J. Robinson, D. Asraf, A. Bulsara, and M. Inchiosa, Phys. Rev. Lett. 81, 2850 (1998); M. Inchiosa, J. Robinson, and A. Bulsara, ibid. 85, 3369 (2000); S. Kay, IEEE Signal Process. Lett. 7, 8 (2000); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); J. Robinson, J. Rung, A. Bulsara, and M. Inchiosa, ibid. 63, 011107 (2001).
- (1998) Phys. Rev. Lett. , vol.81 , pp. 2850
- Robinson, J.¹ Asraf, D.² Bulsara, A.³ Inchiosa, M.⁴

9
- 0034301944
- M. Inchiosa and A. Bulsara Phys. Rev. E 53, R2021 (1996); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); F. Chapeau-Blondeau, ibid. 55, 2016 (1997); J. Robinson, D. Asraf, A. Bulsara, and M. Inchiosa, Phys. Rev. Lett. 81, 2850 (1998); M. Inchiosa, J. Robinson, and A. Bulsara, ibid. 85, 3369 (2000); S. Kay, IEEE Signal Process. Lett. 7, 8 (2000); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); J. Robinson, J. Rung, A. Bulsara, and M. Inchiosa, ibid. 63, 011107 (2001).
- (2000) Phys. Rev. Lett. , vol.85 , pp. 3369
- Inchiosa, M.¹ Robinson, J.² Bulsara, A.³

10
- 0033877977
- M. Inchiosa and A. Bulsara Phys. Rev. E 53, R2021 (1996); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); F. Chapeau-Blondeau, ibid. 55, 2016 (1997); J. Robinson, D. Asraf, A. Bulsara, and M. Inchiosa, Phys. Rev. Lett. 81, 2850 (1998); M. Inchiosa, J. Robinson, and A. Bulsara, ibid. 85, 3369 (2000); S. Kay, IEEE Signal Process. Lett. 7, 8 (2000); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); J. Robinson, J. Rung, A. Bulsara, and M. Inchiosa, ibid. 63, 011107 (2001).
- (2000) IEEE Signal Process. Lett. , vol.7 , pp. 8
- Kay, S.¹

11
- 0034172761
- M. Inchiosa and A. Bulsara Phys. Rev. E 53, R2021 (1996); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); F. Chapeau-Blondeau, ibid. 55, 2016 (1997); J. Robinson, D. Asraf, A. Bulsara, and M. Inchiosa, Phys. Rev. Lett. 81, 2850 (1998); M. Inchiosa, J. Robinson, and A. Bulsara, ibid. 85, 3369 (2000); S. Kay, IEEE Signal Process. Lett. 7, 8 (2000); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); J. Robinson, J. Rung, A. Bulsara, and M. Inchiosa, ibid. 63, 011107 (2001).
- (2000) Phys. Rev. E , vol.61 , pp. 4272
- Goychuk, I.¹ Hänggi, P.²

12
- 4244199303
- M. Inchiosa and A. Bulsara Phys. Rev. E 53, R2021 (1996); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); F. Chapeau-Blondeau, ibid. 55, 2016 (1997); J. Robinson, D. Asraf, A. Bulsara, and M. Inchiosa, Phys. Rev. Lett. 81, 2850 (1998); M. Inchiosa, J. Robinson, and A. Bulsara, ibid. 85, 3369 (2000); S. Kay, IEEE Signal Process. Lett. 7, 8 (2000); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); J. Robinson, J. Rung, A. Bulsara, and M. Inchiosa, ibid. 63, 011107 (2001).
- (2001) Phys. Rev. E , vol.63 , pp. 011107
- Robinson, J.¹ Rung, J.² Bulsara, A.³ Inchiosa, M.⁴

13
- 0038086544
- For reviews see M. Locher et al., Chaos 8, 604 (1998); R. Albert and A. Barabasi, Rev. Mod. Phys. 74, 47 (2002).
- (1998) Chaos , vol.8 , pp. 604
- Locher, M.¹

14
- 0036013593
- For reviews see M. Locher et al., Chaos 8, 604 (1998); R. Albert and A. Barabasi, Rev. Mod. Phys. 74, 47 (2002).
- (2002) Rev. Mod. Phys. , vol.74 , pp. 47
- Albert, R.¹ Barabasi, A.²

15
- 53349102813
- R. Fitzhugh, Biophys. J. 1, 445 (1961).
- (1961) Biophys. J. , vol.1 , pp. 445
- Fitzhugh, R.¹

16
- 6344238035
- J. Nagumo, S. Arimoto, and S. Yoshizawa, Proc. IRE 50, 2061 (1962).
- (1962) Proc. IRE , vol.50 , pp. 2061
- Nagumo, J.¹ Arimoto, S.² Yoshizawa, S.³

17
- 0003922913
- Oxford, New York
- C. Koch, Biophysics of Computation: Information Processing in Single Neurons (Oxford, New York, 1999).
- (1999) Biophysics of Computation: Information Processing in Single Neurons
- Koch, C.¹

18
- 0004214821
- Springer Verlag, Berlin
- Theory of Heart, edited by L. Glass, P. Hunter, and A. McCulloch (Springer Verlag, Berlin, 1991).
- (1991) Theory of Heart
- Glass, L.¹ Hunter, P.² McCulloch, A.³

19
- 0033481098
- S. Massanes and C. Vicente, Int. J. Bifurcation Chaos Appl. Sci. Eng. 9, 2295 (1999).
- (1999) Int. J. Bifurcation Chaos Appl. Sci. Eng. , vol.9 , pp. 2295
- Massanes, S.¹ Vicente, C.²

20
- 0034289621
- K. Wiesenfeld, A. Bulsara, and M. Inchiosa, Phys. Rev. B 62, R9232 (2000); M. Inchiosa, V. In, A. Bulsara, K. Wiesenfeld, T. Heath, and M. Choi, Phys. Rev. E 63, 066114 (2001); J. Acebron, W.-J. Rappel, and A. Bulsara, ibid. 67, 016210 (2003); J. Acebron, A. Bulsara, and W.-J. Rappel, Fluet. Noise Lett. (to be published).
- (2000) Phys. Rev. B , vol.62
- Wiesenfeld, K.¹ Bulsara, A.² Inchiosa, M.³

21
- 0035363130
- K. Wiesenfeld, A. Bulsara, and M. Inchiosa, Phys. Rev. B 62, R9232 (2000); M. Inchiosa, V. In, A. Bulsara, K. Wiesenfeld, T. Heath, and M. Choi, Phys. Rev. E 63, 066114 (2001); J. Acebron, W.-J. Rappel, and A. Bulsara, ibid. 67, 016210 (2003); J. Acebron, A. Bulsara, and W.-J. Rappel, Fluet. Noise Lett. (to be published).
- (2001) Phys. Rev. E , vol.63 , pp. 066114
- Inchiosa, M.¹ In, V.² Bulsara, A.³ Wiesenfeld, K.⁴ Heath, T.⁵ Choi, M.⁶

22
- 0038056038
- K. Wiesenfeld, A. Bulsara, and M. Inchiosa, Phys. Rev. B 62, R9232 (2000); M. Inchiosa, V. In, A. Bulsara, K. Wiesenfeld, T. Heath, and M. Choi, Phys. Rev. E 63, 066114 (2001); J. Acebron, W.-J. Rappel, and A. Bulsara, ibid. 67, 016210 (2003); J. Acebron, A. Bulsara, and W.-J. Rappel, Fluet. Noise Lett. (to be published).
- (2003) Phys. Rev. E , vol.67 , pp. 016210
- Acebron, J.¹ Rappel, W.-J.² Bulsara, A.³

23
- 0034289621
- to be published
- K. Wiesenfeld, A. Bulsara, and M. Inchiosa, Phys. Rev. B 62, R9232 (2000); M. Inchiosa, V. In, A. Bulsara, K. Wiesenfeld, T. Heath, and M. Choi, Phys. Rev. E 63, 066114 (2001); J. Acebron, W.-J. Rappel, and A. Bulsara, ibid. 67, 016210 (2003); J. Acebron, A. Bulsara, and W.-J. Rappel, Fluet. Noise Lett. (to be published).
- Fluet. Noise Lett.
- Acebron, J.¹ Bulsara, A.² Rappel, W.-J.³

24
- 35649001607
- A. Hodgkin and A. Huxley, J. Physiol. (London) 117, 500 (1952).
- (1952) J. Physiol. (London) , vol.117 , pp. 500
- Hodgkin, A.¹ Huxley, A.²

25
- 0003919106
- Springer Verlag, Berlin
- J. P. Keener and J. Sneyd, Mathematical Physiology (Springer Verlag, Berlin, 1998).
- (1998) Mathematical Physiology
- Keener, J.P.¹ Sneyd, J.²

26
- 33749361692
- A. Winfree, Chaos 1, 303 (1991); A. Hagberg and E. Meron, Nonlinearity 7, 805 (1994).
- (1991) Chaos , vol.1 , pp. 303
- Winfree, A.¹

27
- 0000085224
- A. Winfree, Chaos 1, 303 (1991); A. Hagberg and E. Meron, Nonlinearity 7, 805 (1994).
- (1994) Nonlinearity , vol.7 , pp. 805
- Hagberg, A.¹ Meron, E.²

28
- 9144244517
- C. Schurrer and K. Schulten, Physica D 50, 311 (1991); A. Longtin, J. Stat. Phys. 70, 309 (1993).
- (1991) Physica D , vol.50 , pp. 311
- Schurrer, C.¹ Schulten, K.²

29
- 4243084150
- C. Schurrer and K. Schulten, Physica D 50, 311 (1991); A. Longtin, J. Stat. Phys. 70, 309 (1993).
- (1993) J. Stat. Phys. , vol.70 , pp. 309
- Longtin, A.¹

30
- 0031929324
- H. Tuckwell and R. Rodriguez, J. Comput. Neurosci. 5, 91 (1998).
- (1998) J. Comput. Neurosci. , vol.5 , pp. 91
- Tuckwell, H.¹ Rodriguez, R.²

31
- 4243678512
- S. Tanabe and K. Pakdaman, Phys. Rev. E 63, 031911 (2001).
- (2001) Phys. Rev. E , vol.63 , pp. 031911
- Tanabe, S.¹ Pakdaman, K.²

32
- 0037271188
- R. Toral, C. Mirasso, and J. Gunton, Europhys. Lett. 61, 162 (2003).
- (2003) Europhys. Lett. , vol.61 , pp. 162
- Toral, R.¹ Mirasso, C.² Gunton, J.³

33
- 0033734666
- A. Longtin, Chaos, Solitons Fractals 11, 1835 (2000); B. Lindner and L. Schimansky-Geier, Phys. Rev. E 60, 7270 (1999); A. Pikovsky and J. Kurths, Phys. Rev. Lett. 78, 775 (1997); C. Kurrer and K. Schulten, Phys. Rev. E 51, 6213 (1995).
- (2000) Chaos, Solitons Fractals , vol.11 , pp. 1835
- Longtin, A.¹

34
- 0033487164
- A. Longtin, Chaos, Solitons Fractals 11, 1835 (2000); B. Lindner and L. Schimansky-Geier, Phys. Rev. E 60, 7270 (1999); A. Pikovsky and J. Kurths, Phys. Rev. Lett. 78, 775 (1997); C. Kurrer and K. Schulten, Phys. Rev. E 51, 6213 (1995).
- (1999) Phys. Rev. E , vol.60 , pp. 7270
- Lindner, B.¹ Schimansky-Geier, L.²

35
- 0000912646
- A. Longtin, Chaos, Solitons Fractals 11, 1835 (2000); B. Lindner and L. Schimansky-Geier, Phys. Rev. E 60, 7270 (1999); A. Pikovsky and J. Kurths, Phys. Rev. Lett. 78, 775 (1997); C. Kurrer and K. Schulten, Phys. Rev. E 51, 6213 (1995).
- (1997) Phys. Rev. Lett. , vol.78 , pp. 775
- Pikovsky, A.¹ Kurths, J.²

36
- 0000585967
- A. Longtin, Chaos, Solitons Fractals 11, 1835 (2000); B. Lindner and L. Schimansky-Geier, Phys. Rev. E 60, 7270 (1999); A. Pikovsky and J. Kurths, Phys. Rev. Lett. 78, 775 (1997); C. Kurrer and K. Schulten, Phys. Rev. E 51, 6213 (1995).
- (1995) Phys. Rev. E , vol.51 , pp. 6213
- Kurrer, C.¹ Schulten, K.²

37
- 0004140926
- Springer Verlag, Berlin
- H. Risken, The Fokker Planck Equation (Springer Verlag, Berlin, 1996).
- (1996) The Fokker Planck Equation
- Risken, H.¹

38
- 33645074308
- A. Zorzano, H. Mais, and L. Vasquez, Appl. Math. Comput. 98, 109 (1999).
- (1999) Appl. Math. Comput. , vol.98 , pp. 109
- Zorzano, A.¹ Mais, H.² Vasquez, L.³

39
- 26544466295
- M. Kostur, X. Sailer, and L. Schimansky-Geier, Fluct. Noise Lett. 3, L155 (2003).
- (2003) Fluct. Noise Lett. , vol.3
- Kostur, M.¹ Sailer, X.² Schimansky-Geier, L.³

40
- 0035510756
- J. Acebron, A. Bulsara, M. Inchiosa, and W.-J. Rappel, Europhys. Lett. 56, 354 (2001).
- (2001) Europhys. Lett. , vol.56 , pp. 354
- Acebron, J.¹ Bulsara, A.² Inchiosa, M.³ Rappel, W.-J.⁴

41
- 0030241802
- K. Schenk-Hoppé, Int. J. Non-Linear Mech. 31, 685 (1996).
- (1996) Int. J. Non-linear Mech. , vol.31 , pp. 685
- Schenk-Hoppé, K.¹

42
- 0002429034
- R. Desai and R. Zwanzig, J. Stat. Phys. 19, 1 (1978); M. Shiino, Phys. Lett. 112A, 302 (1985); Phys. Rev. A 36, 2393 (1987).
- (1978) J. Stat. Phys. , vol.19 , pp. 1
- Desai, R.¹ Zwanzig, R.²

43
- 0000570447
- R. Desai and R. Zwanzig, J. Stat. Phys. 19, 1 (1978); M. Shiino, Phys. Lett. 112A, 302 (1985); Phys. Rev. A 36, 2393 (1987).
- (1985) Phys. Lett. , vol.112 A , pp. 302
- Shiino, M.¹

44
- 33645074567
- R. Desai and R. Zwanzig, J. Stat. Phys. 19, 1 (1978); M. Shiino, Phys. Lett. 112A, 302 (1985); Phys. Rev. A 36, 2393 (1987).
- (1987) Phys. Rev. A , vol.36 , pp. 2393

45
- 0001605121
- W.-J. Rappel and A. Karma, Phys. Rev. Lett. 77, 3256 (1996).
- (1996) Phys. Rev. Lett. , vol.77 , pp. 3256
- Rappel, W.-J.¹ Karma, A.²

46
- 0037017193
- A. Pikovsky, A. Zaikin, and M. de la Casa, Phys. Rev. Lett. 88, 050601 (2002).
- (2002) Phys. Rev. Lett. , vol.88 , pp. 050601
- Pikovsky, A.¹ Zaikin, A.² De la Casa, M.³

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.