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Volumn 18, Issue 1, 2003, Pages 89-96

Log-periodic oscillations and noise-free stochastic multiresonance due to self-similarity of fractals

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; COMPUTER SIMULATION; FRACTALS; MATHEMATICAL MODELS; PROBABILITY; RESONANCE;

EID: 0037989666     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(02)00602-1     Document Type: Article
Times cited : (17)

References (31)
  • 1
    • 20644470598 scopus 로고
    • The mechanism of stochastic resonance
    • Benzi R., Sutera A., Vulpiani A. The mechanism of stochastic resonance. J. Phys. 14:1981;L453-L458.
    • (1981) J. Phys. , vol.14
    • Benzi, R.1    Sutera, A.2    Vulpiani, A.3
  • 2
    • 0000183328 scopus 로고
    • Theory of stochastic resonance
    • McNamara B., Wiesenfeld K. Theory of stochastic resonance. Phys. Rev. A. 39:1989;4854-4869.
    • (1989) Phys. Rev. A , vol.39 , pp. 4854-4869
    • McNamara, B.1    Wiesenfeld, K.2
  • 3
    • 33645088706 scopus 로고
    • Amplification of small signals via stochastic resonance
    • Jung P., Hänggi P. Amplification of small signals via stochastic resonance. Phys. Rev. A. 44:1991;8032-8042.
    • (1991) Phys. Rev. A , vol.44 , pp. 8032-8042
    • Jung, P.1    Hänggi, P.2
  • 8
    • 0000710835 scopus 로고    scopus 로고
    • Stochastic resonance in chaotic spin-wave dynamics
    • Reibold E., Just W., Becker J., Benner H. Stochastic resonance in chaotic spin-wave dynamics. Phys. Rev. Lett. 78:1997;3101-3104.
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 3101-3104
    • Reibold, E.1    Just, W.2    Becker, J.3    Benner, H.4
  • 12
    • 41349116712 scopus 로고    scopus 로고
    • Dynamical origin of deterministic stochastic resonance
    • Arai K., Yoshimura K., Mizutani S. Dynamical origin of deterministic stochastic resonance. Phys. Rev. E. 65:2002;1-4.
    • (2002) Phys. Rev. E , vol.65 , pp. 1-4
    • Arai, K.1    Yoshimura, K.2    Mizutani, S.3
  • 14
    • 0033076215 scopus 로고    scopus 로고
    • Scaling concepts in periodically modulated noisy systems
    • Vilar J.M.G., Rubí J.M. Scaling concepts in periodically modulated noisy systems. Physica A. 264:1999;1-14.
    • (1999) Physica A , vol.264 , pp. 1-14
    • Vilar, J.M.G.1    Rubí, J.M.2
  • 15
    • 0036155424 scopus 로고    scopus 로고
    • A novel resonance in n-GaAs diodes
    • Shiau Y.-.H., Néda Z. A novel resonance in n-GaAs diodes. Jpn. J. Appl. Phys. 40:2001;6675-6676.
    • (2001) Jpn. J. Appl. Phys. , vol.40 , pp. 6675-6676
    • Shiau, Y.-H.1    Néda, Z.2
  • 16
    • 33646989030 scopus 로고
    • Critical exponents of chaotic transients in nonlinear dynamical systems
    • Grebogi C., Ott E., Yorke J.A. Critical exponents of chaotic transients in nonlinear dynamical systems. Phys. Rev. Lett. 57:1986;1284-1287.
    • (1986) Phys. Rev. Lett. , vol.57 , pp. 1284-1287
    • Grebogi, C.1    Ott, E.2    Yorke, J.A.3
  • 17
    • 24544478068 scopus 로고
    • Critical exponents for crisis-induced intermittency
    • Grebogi C., Ott E., Romeiras F., Yorke J.A. Critical exponents for crisis-induced intermittency. Phys. Rev. A. 36:1987;5365-5380.
    • (1987) Phys. Rev. A , vol.36 , pp. 5365-5380
    • Grebogi, C.1    Ott, E.2    Romeiras, F.3    Yorke, J.A.4
  • 18
    • 0041779012 scopus 로고    scopus 로고
    • Anomalous oscillations of average transient lifetimes near crises
    • Kacperski K., Hołyst J.A. Anomalous oscillations of average transient lifetimes near crises. Phys. Lett. A. 254:1999;53-58.
    • (1999) Phys. Lett. A , vol.254 , pp. 53-58
    • Kacperski, K.1    Hołyst, J.A.2
  • 19
    • 0037835122 scopus 로고    scopus 로고
    • Theory of oscillations in average crisis-induced transient lifetimes
    • Kacperski K., Hołyst J.A. Theory of oscillations in average crisis-induced transient lifetimes. Phys. Rev. E. 60:1999;403-407.
    • (1999) Phys. Rev. E , vol.60 , pp. 403-407
    • Kacperski, K.1    Hołyst, J.A.2
  • 20
    • 0000448397 scopus 로고    scopus 로고
    • Discrete-scale invariance and complex dimensions
    • Sornette D. Discrete-scale invariance and complex dimensions. Phys. Rep. 297:1998;239-270.
    • (1998) Phys. Rep. , vol.297 , pp. 239-270
    • Sornette, D.1
  • 21
    • 0037835121 scopus 로고
    • Diffusion in random one-dimensional systems
    • Bernasconi J., Schneider W.R. Diffusion in random one-dimensional systems. J. Stat. Phys. 30:1983;355-362.
    • (1983) J. Stat. Phys. , vol.30 , pp. 355-362
    • Bernasconi, J.1    Schneider, W.R.2
  • 22
    • 0000775533 scopus 로고    scopus 로고
    • Discrete scale invariance, complex fractal dimensions, and log-periodic fluctuations in seismicity
    • Saleur H., Sammis C.G., Sornette D. Discrete scale invariance, complex fractal dimensions, and log-periodic fluctuations in seismicity. J. Geophys. Res. 101:1996;17661-17677.
    • (1996) J. Geophys. Res. , vol.101 , pp. 17661-17677
    • Saleur, H.1    Sammis, C.G.2    Sornette, D.3
  • 24
    • 0346992715 scopus 로고    scopus 로고
    • The crash of October 1987 seen as a phase transition: Amplitude and universality
    • Vandewalle N., Boveroux Ph., Minguet A., Ausloos M. The crash of October 1987 seen as a phase transition: amplitude and universality. Physica A. 255:1998;201-210 Vandewalle N., Ausloos M. How the financial crash of Oct. 27, 1997 could have been predicted. Eur. J. Phys. B. 4:1998;139-141 Vandewalle N., Ausloos M., Boveroux Ph., Minguet A. Visualizing the log-periodic pattern before crashes. Eur. J. Phys. B. 9:1999;355-359.
    • (1998) Physica A , vol.255 , pp. 201-210
    • Vandewalle, N.1    Boveroux, Ph.2    Minguet, A.3    Ausloos, M.4
  • 25
    • 0031642656 scopus 로고    scopus 로고
    • How the financial crash of Oct. 27, 1997 could have been predicted
    • Vandewalle N., Boveroux Ph., Minguet A., Ausloos M. The crash of October 1987 seen as a phase transition: amplitude and universality. Physica A. 255:1998;201-210 Vandewalle N., Ausloos M. How the financial crash of Oct. 27, 1997 could have been predicted. Eur. J. Phys. B. 4:1998;139-141 Vandewalle N., Ausloos M., Boveroux Ph., Minguet A. Visualizing the log-periodic pattern before crashes. Eur. J. Phys. B. 9:1999;355-359.
    • (1998) Eur. J. Phys. B , vol.4 , pp. 139-141
    • Vandewalle, N.1    Ausloos, M.2
  • 26
    • 0043284382 scopus 로고    scopus 로고
    • Visualizing the log-periodic pattern before crashes
    • Vandewalle N., Boveroux Ph., Minguet A., Ausloos M. The crash of October 1987 seen as a phase transition: amplitude and universality. Physica A. 255:1998;201-210 Vandewalle N., Ausloos M. How the financial crash of Oct. 27, 1997 could have been predicted. Eur. J. Phys. B. 4:1998;139-141 Vandewalle N., Ausloos M., Boveroux Ph., Minguet A. Visualizing the log-periodic pattern before crashes. Eur. J. Phys. B. 9:1999;355-359.
    • (1999) Eur. J. Phys. B , vol.9 , pp. 355-359
    • Vandewalle, N.1    Ausloos, M.2    Boveroux, Ph.3    Minguet, A.4
  • 27
    • 84956213823 scopus 로고
    • Non-dynamical stochastic resonance: Theory and experiments with white and arbitrarily coloured noise
    • Gingl Z., Kiss L.B., Moss F. Non-dynamical stochastic resonance: theory and experiments with white and arbitrarily coloured noise. Europhys. Lett. 29:1995;191-195.
    • (1995) Europhys. Lett. , vol.29 , pp. 191-195
    • Gingl, Z.1    Kiss, L.B.2    Moss, F.3
  • 28
    • 0000169133 scopus 로고
    • Stochastic resonance in the Heaviside nonlinearity with white noise and arbitrary periodic signal
    • Chapeau-Blondeau F. Stochastic resonance in the Heaviside nonlinearity with white noise and arbitrary periodic signal. Phys. Rev. E. 53:1995;5469-5472.
    • (1995) Phys. Rev. E , vol.53 , pp. 5469-5472
    • Chapeau-Blondeau, F.1
  • 29
    • 0002720128 scopus 로고
    • Regular and chaotic behavior of a kicked damped spin
    • Hołyst J.A., Sukiennicki A. Regular and chaotic behavior of a kicked damped spin. Acta Phys. Polonica A. 81:1992;353-360.
    • (1992) Acta Phys. Polonica A , vol.81 , pp. 353-360
    • Hołyst, J.A.1    Sukiennicki, A.2
  • 30
    • 0027107296 scopus 로고
    • Chaotic dynamics of a damped classical spin
    • Hołyst J.A., Sukiennicki A. Chaotic dynamics of a damped classical spin. J. Magn. Magn. Mater. 104-107:1992;2111-2112.
    • (1992) J. Magn. Magn. Mater. , vol.104-107 , pp. 2111-2112
    • Hołyst, J.A.1    Sukiennicki, A.2
  • 31
    • 0033422769 scopus 로고    scopus 로고
    • Financial "anti-bubbles": Log-periodicity in gold and Nikkei collapses
    • Johansen A., Sornette D. Financial "anti-bubbles": log-periodicity in gold and Nikkei collapses. Int. J. Mod. Phys. C. 10:1999;563-575.
    • (1999) Int. J. Mod. Phys. C , vol.10 , pp. 563-575
    • Johansen, A.1    Sornette, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.