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Volumn 14, Issue 1, 2004, Pages 141-159

Fractal spectroscopy by noise-free stochastic multiresonance at higher harmonics

Author keywords

Crisis; Deterministic chaos; Fractals; Stochastic resonance

Indexed keywords

CHAOS THEORY; COMPUTATIONAL COMPLEXITY; FRACTALS; RANDOM PROCESSES; SIGNAL TO NOISE RATIO;

EID: 8744278007     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127404009235     Document Type: Article
Times cited : (2)

References (60)
  • 2
    • 5244317763 scopus 로고
    • Stochastic resonance in Chua's circuit driven by amplitude or frequency modulated signal
    • Anishchenko, V. S., Safonova, M. A. & Chua, L. O. [1994] "Stochastic resonance in Chua's circuit driven by amplitude or frequency modulated signal," Int. J. Bifurcation and Chaos 4, 441-446.
    • (1994) Int. J. Bifurcation and Chaos , vol.4 , pp. 441-446
    • Anishchenko, V.S.1    Safonova, M.A.2    Chua, L.O.3
  • 4
    • 33845291307 scopus 로고    scopus 로고
    • Anishchenko, V. S., Neiman, A. B., Moss, F. & Schimansky-Geier, L. [1999] "Stochastic resonance: Noise-enhanced order," Physics - Uspekhi 42, 7-36; Usp. Fix. Nauk 169, 7-38.
    • Usp. Fix. Nauk , vol.169 , pp. 7-38
  • 5
    • 41349116712 scopus 로고    scopus 로고
    • Dynamical origin of deterministic stochastic resonance
    • Arai, K., Yoshimura, K. & Mizutani, S. [2002] "Dynamical origin of deterministic stochastic resonance," Phys. Rev. E65, 015202 1-4.
    • (2002) Phys. Rev. , vol.E65
    • Arai, K.1    Yoshimura, K.2    Mizutani, S.3
  • 6
    • 0000503035 scopus 로고
    • Stochastic resonance in optical bistable systems
    • Bartussek, R., Hänggi, P. & Jung, P. [1994] "Stochastic resonance in optical bistable systems," Phys. Rev. E49, 3930-3939.
    • (1994) Phys. Rev. , vol.E49 , pp. 3930-3939
    • Bartussek, R.1    Hänggi, P.2    Jung, P.3
  • 7
    • 8744301029 scopus 로고
    • Stochastic resonance in optical bistable systems: Amplifica tion and generation of higher harmonics
    • Bartussek, R., Jung, P. & Hänggi, P. [1995] "Stochastic resonance in optical bistable systems: Amplifica tion and generation of higher harmonics," Chaos Solit. Fract. 5, 1775-1778.
    • (1995) Chaos Solit. Fract. , vol.5 , pp. 1775-1778
    • Bartussek, R.1    Jung, P.2    Hänggi, P.3
  • 8
    • 20644470598 scopus 로고
    • The mechanism of stochastic resonance
    • Benzi, R., Sutera, A. & Vulpiani, A. [1981] "The mechanism of stochastic resonance," J. Phys. A14, L453-L457.
    • (1981) J. Phys. , vol.A14
    • Benzi, R.1    Sutera, A.2    Vulpiani, A.3
  • 9
    • 0001076507 scopus 로고    scopus 로고
    • Noise-controlled resonance behavior in nonlinear dynamical systems with broken symmetry
    • Bulsara, A. R., Inchiosa, M. E. & Gammaitoni, L. [1996] "Noise-controlled resonance behavior in nonlinear dynamical systems with broken symmetry," Phys. Rev. Lett. 77, 2162-2165.
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 2162-2165
    • Bulsara, A.R.1    Inchiosa, M.E.2    Gammaitoni, L.3
  • 10
    • 0001198151 scopus 로고
    • Stochastic resonance and crises
    • Carroll, T. L. & Peccora, L. M. [1993] "Stochastic resonance and crises," Phys. Rev. Lett. 70, 576-579.
    • (1993) Phys. Rev. Lett. , vol.70 , pp. 576-579
    • Carroll, T.L.1    Peccora, L.M.2
  • 11
    • 0000169133 scopus 로고
    • Stochastic resonance in the Heaviside nonlinearity with white noise and arbitrary periodic signal
    • Chapeau-Blondeau, F. [1995] "Stochastic resonance in the Heaviside nonlinearity with white noise and arbitrary periodic signal," Phys. Rev. E53, 5469-5472.
    • (1995) Phys. Rev. , vol.E53 , pp. 5469-5472
    • Chapeau-Blondeau, F.1
  • 12
    • 0031078056 scopus 로고    scopus 로고
    • Theory of stochastic resonance in signal transmission by static nonlinear systems
    • Chapeau-Blondeau, F. & Godivier, X. [1997] "Theory of stochastic resonance in signal transmission by static nonlinear systems," Phys. Rev. E55, 1478-1495.
    • (1997) Phys. Rev. , vol.E55 , pp. 1478-1495
    • Chapeau-Blondeau, F.1    Godivier, X.2
  • 14
    • 21844505713 scopus 로고
    • Stochastic resonance in deterministic chaotic systems
    • Crisanti, A., Falcioni, M., Paladin, G. & Vulpiani, A. [1994] "Stochastic resonance in deterministic chaotic systems," J. Phys. A27, L597-L603.
    • (1994) J. Phys. , vol.A27
    • Crisanti, A.1    Falcioni, M.2    Paladin, G.3    Vulpiani, A.4
  • 16
    • 84956213823 scopus 로고
    • Non-dynamical stochastic resonance: Theory and experiments with white and arbitrarily coloured noise
    • Gingl, Z., Kiss, L. B. & Moss, F. [1995] "Non-dynamical stochastic resonance: Theory and experiments with white and arbitrarily coloured noise," Europhys. Lett. 29, 191-196.
    • (1995) Europhys. Lett. , vol.29 , pp. 191-196
    • Gingl, Z.1    Kiss, L.B.2    Moss, F.3
  • 17
    • 0033084438 scopus 로고    scopus 로고
    • Stochastic resonance, on-off intermittency and 'physical mathematics'
    • Ginzburg, S. L. & Pustovoit, M. A. [1999] "Stochastic resonance, on-off intermittency and 'physical mathematics'," Europhys. Lett. 45, 540-544.
    • (1999) Europhys. Lett. , vol.45 , pp. 540-544
    • Ginzburg, S.L.1    Pustovoit, M.A.2
  • 18
    • 33646989030 scopus 로고
    • Critical exponents of chaotic transients in nonlinear dynamical systems
    • Grebogi, C., Ott, E. & Yorke, J. A. [1986] "Critical exponents of chaotic transients in nonlinear dynamical systems," Phys. Rev. Lett. 57, 1284-1287.
    • (1986) Phys. Rev. Lett. , vol.57 , pp. 1284-1287
    • Grebogi, C.1    Ott, E.2    Yorke, J.A.3
  • 19
    • 24544478068 scopus 로고
    • Critical exponents for crisis-induced intermittency
    • Grebogi, C., Ott, E., Romeiras, F. & Yorke, J. A. [1987] "Critical exponents for crisis-induced intermittency," Phys. Rev. A36, 5365-5380.
    • (1987) Phys. Rev. , vol.A36 , pp. 5365-5380
    • Grebogi, C.1    Ott, E.2    Romeiras, F.3    Yorke, J.A.4
  • 20
    • 4243105571 scopus 로고    scopus 로고
    • Coherent and incoherent quantum stochastic resonance
    • Grifoni, M. & Hänggi, P. [1996] "Coherent and incoherent quantum stochastic resonance," Phys. Rev. Lett. 76, 1611-1614.
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 1611-1614
    • Grifoni, M.1    Hänggi, P.2
  • 21
    • 0000595226 scopus 로고    scopus 로고
    • Stochastic resonance at higher harmonics in monostable systems
    • Grigorenko, A. N., Nikitin, S. I. & Roschepkin, G. V. [1997] "Stochastic resonance at higher harmonics in monostable systems," Phys. Rev. E56, R4907-R4910.
    • (1997) Phys. Rev. , vol.E56
    • Grigorenko, A.N.1    Nikitin, S.I.2    Roschepkin, G.V.3
  • 22
    • 0002720128 scopus 로고
    • Regular and chaotic behavior of a kicked damped spin
    • Hołyst, J. A. & Sukiennicki, A. [1992a] "Regular and chaotic behavior of a kicked damped spin," Acta Phys. Polonica A81, 353-360.
    • (1992) Acta Phys. Polonica , vol.A81 , pp. 353-360
    • Hołyst, J.A.1    Sukiennicki, A.2
  • 23
    • 0027107296 scopus 로고
    • Chaotic dynamics of a damped classical spin
    • Holyst, J. A. & Sukiennicki, A. [1992b] "Chaotic dynamics of a damped classical spin," J. Magn. Magn. Mater. 104-107, 2111-2112.
    • (1992) J. Magn. Magn. Mater. , vol.104-107 , pp. 2111-2112
    • Holyst, J.A.1    Sukiennicki, A.2
  • 24
    • 0033472816 scopus 로고    scopus 로고
    • Stochastic resonance-like behavior in the sine-circle map
    • Horita, T., Kanamaru, T. & Akishita, T. [1999] "Stochastic resonance-like behavior in the sine-circle map," Prog. Theor. Phys. 102, 1057-1064.
    • (1999) Prog. Theor. Phys. , vol.102 , pp. 1057-1064
    • Horita, T.1    Kanamaru, T.2    Akishita, T.3
  • 25
    • 0005633834 scopus 로고    scopus 로고
    • 2 catalytic oxidation reaction system
    • 2 catalytic oxidation reaction system," J. Chem. Phys. 111, 1592-1594.
    • (1999) J. Chem. Phys. , vol.111 , pp. 1592-1594
    • Hou, Z.1    Yang, L.2    Xin, H.3
  • 26
    • 12944257434 scopus 로고
    • Periodically driven stochastic systems
    • Jung, P. [1993] "Periodically driven stochastic systems," Phys. Rep. 234, 175-295.
    • (1993) Phys. Rep. , vol.234 , pp. 175-295
    • Jung, P.1
  • 27
    • 33645088706 scopus 로고
    • Amplification of small signals via stochastic resonance
    • Jung, P. & Hänggi, P. [1991] "Amplification of small signals via stochastic resonance," Phys. Rev. A44, 8032-8042.
    • (1991) Phys. Rev. , vol.A44 , pp. 8032-8042
    • Jung, P.1    Hänggi, P.2
  • 28
    • 0000068272 scopus 로고
    • Suppression of higher harmonics at noise induced resonances
    • Jung, P. & Talkner, P. [1995] "Suppression of higher harmonics at noise induced resonances," Phys. Rev. E51, 2640-2643.
    • (1995) Phys. Rev. , vol.E51 , pp. 2640-2643
    • Jung, P.1    Talkner, P.2
  • 29
    • 0000201643 scopus 로고    scopus 로고
    • Control of crisis-induced intermittency in the dynamics of a kicked, damped spin
    • Kacperski, K. & Hołyst, J. A. [1997] "Control of crisis-induced intermittency in the dynamics of a kicked, damped spin," Phys. Rev. E55, 5044-5049.
    • (1997) Phys. Rev. , vol.E55 , pp. 5044-5049
    • Kacperski, K.1    Hołyst, J.A.2
  • 30
    • 0041779012 scopus 로고    scopus 로고
    • Anomalous oscillations of average transient lifetimes near crises
    • Kacperski, K. & Holyst, J. A. [1999a] "Anomalous oscillations of average transient lifetimes near crises," Phys. Lett. A254, 53-58.
    • (1999) Phys. Lett. , vol.A254 , pp. 53-58
    • Kacperski, K.1    Holyst, J.A.2
  • 31
    • 0037835122 scopus 로고    scopus 로고
    • Theory of oscillations in average crisis-induced transient lifetimes
    • Kacperski, K. & Hołyst, J. A. [1999b] "Theory of oscillations in average crisis-induced transient lifetimes," Phys. Rev. E60, 403-407.
    • (1999) Phys. Rev. , vol.E60 , pp. 403-407
    • Kacperski, K.1    Hołyst, J.A.2
  • 32
    • 8744272476 scopus 로고    scopus 로고
    • Chaotic resonance: Hopping rates, spectra and signal-to-noise ratios
    • Kovaleva, A. & Simiu, E. [2000] "Chaotic resonance: Hopping rates, spectra and signal-to-noise ratios," AIP. Conf. Proc., Vol. 502, pp. 428-433.
    • (2000) AIP. Conf. Proc. , vol.502 , pp. 428-433
    • Kovaleva, A.1    Simiu, E.2
  • 33
    • 0141667113 scopus 로고    scopus 로고
    • Stochastic resonance in system with on-off intermittency
    • Krawiecki, A. [1997] "Stochastic resonance in system with on-off intermittency," Acta Phys. Polonica A92, 1101-1108.
    • (1997) Acta Phys. Polonica , vol.A92 , pp. 1101-1108
    • Krawiecki, A.1
  • 35
    • 0035794252 scopus 로고    scopus 로고
    • Transmission of noise coded versus additive signals through a neuronal ensemble
    • Lindner, B. & Schimansky-Geier, L. [2001] "Transmission of noise coded versus additive signals through a neuronal ensemble," Phys. Rev. Lett. 86, 2934-2937.
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 2934-2937
    • Lindner, B.1    Schimansky-Geier, L.2
  • 36
    • 0042781050 scopus 로고    scopus 로고
    • Higher order stochastic resonance in a level-crossing detector
    • Loerincz, K., Gingl, Z., Kiss, L. B. & Bulsara, A. R. [1999] "Higher order stochastic resonance in a level-crossing detector," Phys. Lett. A254, 154-157.
    • (1999) Phys. Lett. , vol.A254 , pp. 154-157
    • Loerincz, K.1    Gingl, Z.2    Kiss, L.B.3    Bulsara, A.R.4
  • 38
    • 0000183328 scopus 로고
    • Theory of stochastic resonance
    • McNamara, B. & Wiesenfeld, K. [1989] "Theory of stochastic resonance," Phys. Rev. A39, 4854-4869.
    • (1989) Phys. Rev. , vol.A39 , pp. 4854-4869
    • McNamara, B.1    Wiesenfeld, K.2
  • 39
    • 0003133781 scopus 로고
    • Stochastic resonance: From ice ages to monkey's ear
    • ed. Weiss, G. H. (SIAM, Philadelphia)
    • Moss, F. [1994] "Stochastic resonance: From ice ages to monkey's ear," in Contemporary Problems in Statistical Physics, ed. Weiss, G. H. (SIAM, Philadelphia), pp. 205-253.
    • (1994) Contemporary Problems in Statistical Physics , pp. 205-253
    • Moss, F.1
  • 41
    • 0001930786 scopus 로고    scopus 로고
    • Stochastic resonance: Looking forward
    • ed. Walleczek, J. (Cambridge University Press, Cambridge, UK)
    • Moss, F. [2000] "Stochastic resonance: Looking forward," in Self-Organized Biological Dynamics & Nonlinear Control, ed. Walleczek, J. (Cambridge University Press, Cambridge, UK), pp. 236-256.
    • (2000) Self-organized Biological Dynamics & Nonlinear Control , pp. 236-256
    • Moss, F.1
  • 42
    • 21144465383 scopus 로고
    • Stochastic resonance in chaotic dynamics
    • Nicolis, G., Nicolis, C. & McKernan, D. [1993] "Stochastic resonance in chaotic dynamics," J. Stat. Phys. 70, 125-139.
    • (1993) J. Stat. Phys. , vol.70 , pp. 125-139
    • Nicolis, G.1    Nicolis, C.2    McKernan, D.3
  • 43
    • 0034249405 scopus 로고    scopus 로고
    • Coherent response in a chaotic neural network
    • Nishimura, H., Katada, N. & Aihara, K. [2000] "Coherent response in a chaotic neural network," Neural Proc. Lett. 12, 49-58.
    • (2000) Neural Proc. Lett. , vol.12 , pp. 49-58
    • Nishimura, H.1    Katada, N.2    Aihara, K.3
  • 44
    • 0000274613 scopus 로고    scopus 로고
    • Stochastic resonance in a chaotic laser
    • Pisarchik, A. N. & Corbalán, R. [1998] "Stochastic resonance in a chaotic laser," Phys. Rev. E58, R2697-R2700.
    • (1998) Phys. Rev. , vol.E58
    • Pisarchik, A.N.1    Corbalán, R.2
  • 45
    • 0000710835 scopus 로고    scopus 로고
    • Stochastic resonance in chaotic spin-wave dynamics
    • Reibold, E., Just, W., Becker, J. & Benner, H. [1997] "Stochastic resonance in chaotic spin-wave dynamics," Phys. Rev. Lett. 78, 3101-3104.
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 3101-3104
    • Reibold, E.1    Just, W.2    Becker, J.3    Benner, H.4
  • 46
    • 0036155424 scopus 로고    scopus 로고
    • A novel resonance in n-GaAs diodes
    • Shiau, Y.-H. & Néda, Z. [2001] "A novel resonance in n-GaAs diodes," Japanese J. Appl. Phys. 40, 6675-6676.
    • (2001) Japanese J. Appl. Phys. , vol.40 , pp. 6675-6676
    • Shiau, Y.-H.1    Néda, Z.2
  • 47
    • 0001692533 scopus 로고
    • Weak-noise limit of stochastic resonance
    • Shneidman, V. A., Jung, P. & Hänggi, P. [1994] "Weak-noise limit of stochastic resonance," Phys. Rev. Lett. 72, 2682-2685.
    • (1994) Phys. Rev. Lett. , vol.72 , pp. 2682-2685
    • Shneidman, V.A.1    Jung, P.2    Hänggi, P.3
  • 48
    • 0032668833 scopus 로고    scopus 로고
    • Noise-free stochastic resonance in simple chaotic systems
    • Sinha, S. [1999] "Noise-free stochastic resonance in simple chaotic systems," Physica A270, 204-214.
    • (1999) Physica , vol.A270 , pp. 204-214
    • Sinha, S.1
  • 49
    • 0008999545 scopus 로고    scopus 로고
    • Deterministic stochastic resonance in a piecewise linear chaotic map
    • Sinha, S. & Chakrabarti, B. K. [1998] "Deterministic stochastic resonance in a piecewise linear chaotic map;" Phys. Rev. E58, 8009-8012.
    • (1998) Phys. Rev. , vol.E58 , pp. 8009-8012
    • Sinha, S.1    Chakrabarti, B.K.2
  • 50
    • 0000195534 scopus 로고
    • Determination of crisis parameter values by direct observation of manifold tangencies
    • Sommerer, J. C. & Grebogi, C. [1992] "Determination of crisis parameter values by direct observation of manifold tangencies," Int. J. Bifurcation and Chaos 2, 383-396.
    • (1992) Int. J. Bifurcation and Chaos , vol.2 , pp. 383-396
    • Sommerer, J.C.1    Grebogi, C.2
  • 51
    • 0009929524 scopus 로고    scopus 로고
    • Stochastic resonance phenomenon in a superconducting surface state of single-crystal Nb
    • Tsindlekht, M. I., Felner, I., Gitterman, M. & Shapiro, B. Ya. [2000] "Stochastic resonance phenomenon in a superconducting surface state of single-crystal Nb," Phys. Rev. B62, 4073-4078.
    • (2000) Phys. Rev. , vol.B62 , pp. 4073-4078
    • Tsindlekht, M.I.1    Felner, I.2    Gitterman, M.3    Shapiro, B.Ya.4
  • 52
    • 0001416280 scopus 로고    scopus 로고
    • Stochastic multiresonance
    • Vilar, J. M. G. & Rubí, J. M. [1997] "Stochastic multiresonance," Phys. Rev. Lett. 78, 2882-2885.
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 2882-2885
    • Vilar, J.M.G.1    Rubí, J.M.2
  • 53
    • 0033076215 scopus 로고    scopus 로고
    • Scaling concepts in periodically modulated noisy systems
    • Vilar, J. M. G. & Rubí, J. M. [1999] "Scaling concepts in periodically modulated noisy systems," Physica A264, 1-19.
    • (1999) Physica , vol.A264 , pp. 1-19
    • Vilar, J.M.G.1    Rubí, J.M.2
  • 54
    • 0000733410 scopus 로고    scopus 로고
    • Internal-noise-enhanced signal transduction in neuronal systems
    • Wang, W. & Wang, Z. D. [1997] "Internal-noise-enhanced signal transduction in neuronal systems," Phys. Rev. E55, 7379-7384.
    • (1997) Phys. Rev. , vol.E55 , pp. 7379-7384
    • Wang, W.1    Wang, Z.D.2
  • 56
    • 0028897281 scopus 로고
    • Stochastic resonance and the benefits of noise: From the Ice ages to crayfish and SQUIDs
    • Wiesenfeld, K. & Moss, F. [1995] "Stochastic resonance and the benefits of noise: From the Ice Ages to crayfish and SQUIDs," Nature 373, 33-36.
    • (1995) Nature , vol.373 , pp. 33-36
    • Wiesenfeld, K.1    Moss, F.2
  • 57
    • 0034385352 scopus 로고    scopus 로고
    • Dynamical behaviors of periodically forced Hindmarsh-Rose neural model
    • Yuqing, W., Wang, Z. D. & Wang, W. [2000] "Dynamical behaviors of periodically forced Hindmarsh-Rose neural model," J. Phys. Soc. Japan 69, 276-283.
    • (2000) J. Phys. Soc. Japan , vol.69 , pp. 276-283
    • Yuqing, W.1    Wang, Z.D.2    Wang, W.3
  • 58
    • 0035625928 scopus 로고    scopus 로고
    • Stochastic multiresonance induced by an optimal noise pulse interval due to hopping of energy levels
    • Zhang J.-Q. & Xin, H.-W. [2001] "Stochastic multiresonance induced by an optimal noise pulse interval due to hopping of energy levels," Chinese Phys. Lett. 18, 870-873.
    • (2001) Chinese Phys. Lett. , vol.18 , pp. 870-873
    • Zhang, J.-Q.1    Xin, H.-W.2
  • 59
    • 33646981232 scopus 로고    scopus 로고
    • Amplification of weak signals and stochastic resonance in on-off intermittency with symmetry breaking
    • Zhou, Ch. & Lai, C.-H. [1999a] "Amplification of weak signals and stochastic resonance in on-off intermittency with symmetry breaking," Phys. Rev. E60, 3928-3935.
    • (1999) Phys. Rev. , vol.E60 , pp. 3928-3935
    • Zhou, Ch.1    Lai, C.-H.2
  • 60
    • 0032615139 scopus 로고    scopus 로고
    • Robustness of super-sensitivity to small signals in nonlinear dynamical systems
    • Zhou, Ch. & Lai, C.-H. [1999b] "Robustness of super-sensitivity to small signals in nonlinear dynamical systems," Phys. Rev. E59, R6243-R6246.
    • (1999) Phys. Rev. , vol.E59
    • Zhou, Ch.1    Lai, C.-H.2


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