메뉴 건너뛰기




Volumn 69, Issue 2 1, 2004, Pages

Theory of non-Markovian stochastic resonance

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; FRACTALS; FREQUENCIES; INTEGRATION; MATHEMATICAL MODELS; MOLECULAR DYNAMICS; RESONANCE; SIGNAL TO NOISE RATIO; STATISTICAL METHODS; THERMAL NOISE;

EID: 45849155671     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.69.021104     Document Type: Article
Times cited : (54)

References (64)
  • 1
    • 20644470598 scopus 로고
    • R. Benzi, A. Sutera, and A. Vulpiani, J. Phys. A 14, L453 (1981); R. Benzi, G. Parisi, A. Sutera, and A. Vulpiani, Tellus 34, 10 (1982); C. Nicolis, ibid. 34, 1 (1982).
    • (1981) J. Phys. A , vol.14
    • Benzi, R.1    Sutera, A.2    Vulpiani, A.3
  • 2
    • 20644470598 scopus 로고
    • R. Benzi, A. Sutera, and A. Vulpiani, J. Phys. A 14, L453 (1981); R. Benzi, G. Parisi, A. Sutera, and A. Vulpiani, Tellus 34, 10 (1982); C. Nicolis, ibid. 34, 1 (1982).
    • (1982) Tellus , vol.34 , pp. 10
    • Benzi, R.1    Parisi, G.2    Sutera, A.3    Vulpiani, A.4
  • 3
    • 20644470598 scopus 로고
    • R. Benzi, A. Sutera, and A. Vulpiani, J. Phys. A 14, L453 (1981); R. Benzi, G. Parisi, A. Sutera, and A. Vulpiani, Tellus 34, 10 (1982); C. Nicolis, ibid. 34, 1 (1982).
    • (1982) Tellus , vol.34 , pp. 1
    • Nicolis, C.1
  • 6
    • 33645093257 scopus 로고    scopus 로고
    • V.S. Anishchenko, A.B. Neiman, F. Moss, and L. Schimansky-Geier, Usp. Fiz. Nauk. 169, 7 (1999) [Sov. Phys. Usp. 42, 7 (1999)].
    • (1999) Sov. Phys. Usp. , vol.42 , pp. 7
  • 8
    • 4243105571 scopus 로고    scopus 로고
    • M. Grifoni and P. Hänggi, Phys. Rev. Lett. 76, 1611 (1996); M. Grifoni and P. Hänggi, Phys. Rev. E 54, 1390 (1996); I. Goychuk and P. Hänggi, ibid. 59, 5137 (1999).
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 1611
    • Grifoni, M.1    Hänggi, P.2
  • 9
    • 5344275714 scopus 로고    scopus 로고
    • M. Grifoni and P. Hänggi, Phys. Rev. Lett. 76, 1611 (1996); M. Grifoni and P. Hänggi, Phys. Rev. E 54, 1390 (1996); I. Goychuk and P. Hänggi, ibid. 59, 5137 (1999).
    • (1996) Phys. Rev. E , vol.54 , pp. 1390
    • Grifoni, M.1    Hänggi, P.2
  • 10
    • 0006703763 scopus 로고    scopus 로고
    • M. Grifoni and P. Hänggi, Phys. Rev. Lett. 76, 1611 (1996); M. Grifoni and P. Hänggi, Phys. Rev. E 54, 1390 (1996); I. Goychuk and P. Hänggi, ibid. 59, 5137 (1999).
    • (1999) Phys. Rev. E , vol.59 , pp. 5137
    • Goychuk, I.1    Hänggi, P.2
  • 15
    • 0034172761 scopus 로고    scopus 로고
    • I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); I. Goychuk, Phys. Rev. E 64, 021909 (2001).
    • (2000) Phys. Rev. E , vol.61 , pp. 4272
    • Goychuk, I.1    Hänggi, P.2
  • 16
    • 0035419483 scopus 로고    scopus 로고
    • I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); I. Goychuk, Phys. Rev. E 64, 021909 (2001).
    • (2001) Phys. Rev. E , vol.64 , pp. 021909
    • Goychuk, I.1
  • 23
    • 5544221875 scopus 로고
    • J.J. Collins, C.C. Chow, and T.T. Imhoff, Nature (London) 376, 236 (1995); Phys. Rev. E 52, R3321 (1995).
    • (1995) Phys. Rev. E , vol.52
  • 24
    • 33645059049 scopus 로고    scopus 로고
    • note
    • 1>0. This corresponds to a Markovian case. Otherwise, the process x(t) is not Markovian and the master equation (3) must be substituted by a non-Markovian master equation.
  • 27
    • 0023487460 scopus 로고
    • L.S. Liebovitch, J. Fishbarg, and J.P. Koniarek, Math. Biosci. 84, 37 (1987); L.S. Liebovitch and J.M. Sullivan, Biophys. J. 52, 979 (1987).
    • (1987) Biophys. J. , vol.52 , pp. 979
    • Liebovitch, L.S.1    Sullivan, J.M.2
  • 35
    • 21144467011 scopus 로고
    • P. Hänggi, P. Jung, C. Zerbe, and F. Moss, J. Stat. Phys. 70, 25 (1993); P. Hänggi and P. Jung, Adv. Chem. Phys. 89, 239 (1995); A. Neiman and W. Sung, Phys. Lett. A 223, 341 (1996).
    • (1993) J. Stat. Phys. , vol.70 , pp. 25
    • Hänggi, P.1    Jung, P.2    Zerbe, C.3    Moss, F.4
  • 36
    • 21144467011 scopus 로고
    • P. Hänggi, P. Jung, C. Zerbe, and F. Moss, J. Stat. Phys. 70, 25 (1993); P. Hänggi and P. Jung, Adv. Chem. Phys. 89, 239 (1995); A. Neiman and W. Sung, Phys. Lett. A 223, 341 (1996).
    • (1995) Adv. Chem. Phys. , vol.89 , pp. 239
    • Hänggi, P.1    Jung, P.2
  • 37
    • 0039439296 scopus 로고    scopus 로고
    • P. Hänggi, P. Jung, C. Zerbe, and F. Moss, J. Stat. Phys. 70, 25 (1993); P. Hänggi and P. Jung, Adv. Chem. Phys. 89, 239 (1995); A. Neiman and W. Sung, Phys. Lett. A 223, 341 (1996).
    • (1996) Phys. Lett. A , vol.223 , pp. 341
    • Neiman, A.1    Sung, W.2
  • 43
    • 33645090828 scopus 로고    scopus 로고
    • note
    • 0).
  • 45
    • 0001804396 scopus 로고
    • H. Grabert, P. Talkner, and P. Hänggi, Z. Phys. B 26, 389 (1977); H. Grabert, P. Talkner, P. Hänggi, and H. Thomas, ibid. 29, 273 (1978); H. Grabert, P. Hänggi, and P. Talkner, J. Stat. Phys. 22, 537 (1980).
    • (1977) Z. Phys. B , vol.26 , pp. 389
    • Grabert, H.1    Talkner, P.2    Hänggi, P.3
  • 46
    • 33749104624 scopus 로고
    • H. Grabert, P. Talkner, and P. Hänggi, Z. Phys. B 26, 389 (1977); H. Grabert, P. Talkner, P. Hänggi, and H. Thomas, ibid. 29, 273 (1978); H. Grabert, P. Hänggi, and P. Talkner, J. Stat. Phys. 22, 537 (1980).
    • (1978) Z. Phys. B , vol.29 , pp. 273
    • Grabert, H.1    Talkner, P.2    Hänggi, P.3    Thomas, H.4
  • 47
    • 0000217225 scopus 로고
    • H. Grabert, P. Talkner, and P. Hänggi, Z. Phys. B 26, 389 (1977); H. Grabert, P. Talkner, P. Hänggi, and H. Thomas, ibid. 29, 273 (1978); H. Grabert, P. Hänggi, and P. Talkner, J. Stat. Phys. 22, 537 (1980).
    • (1980) J. Stat. Phys. , vol.22 , pp. 537
    • Grabert, H.1    Hänggi, P.2    Talkner, P.3
  • 51
    • 33645062830 scopus 로고    scopus 로고
    • note
    • 0). Such special cases are not considered here.
  • 52
    • 33645055259 scopus 로고    scopus 로고
    • note
    • low.
  • 55
    • 12344271673 scopus 로고
    • M. Toda, R. Kubo, and N. Saito, Nonequilibrium Statistical Mechanics, Statistical Physics II, (Springer, Berlin, 1991); R. Kubo, J. Phys. Soc. Jpn. 12, 570 (1957).
    • (1957) J. Phys. Soc. Jpn. , vol.12 , pp. 570
    • Kubo, R.1
  • 58
    • 84956133720 scopus 로고
    • P. Jung and P. Hänggi, Europhys. Lett. 8, 505 (1989); P. Jung and P. Hänggi, Phys. Rev. A 44, 8032 (1991).
    • (1989) Europhys. Lett. , vol.8 , pp. 505
    • Jung, P.1    Hänggi, P.2
  • 59
    • 33645088706 scopus 로고
    • P. Jung and P. Hänggi, Europhys. Lett. 8, 505 (1989); P. Jung and P. Hänggi, Phys. Rev. A 44, 8032 (1991).
    • (1991) Phys. Rev. A , vol.44 , pp. 8032
    • Jung, P.1    Hänggi, P.2
  • 61
    • 0038685949 scopus 로고    scopus 로고
    • I. Goychuk and P. Hänggi, Proc. Natl. Acad. Sci. U.S.A. 99, 3552 (2002); I. Goychuk and P. Hänggi, Physica A 325, 9 (2003).
    • (2003) Physica A , vol.325 , pp. 9
    • Goychuk, I.1    Hänggi, P.2
  • 64
    • 84976726863 scopus 로고
    • H. Stehfest, Commun. ACM 13, 47 (1970); 13, 624 (1970).
    • (1970) Commun. ACM , vol.13 , pp. 624


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.