Artículo

Estamos trabajando para incorporar este artículo al repositorio
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

Nonlinear systems driven by noise and periodic forces with more than one frequency exhibit the phenomenon of Ghost Stochastic Resonance (GSR) found in a wide and disparate variety of fields ranging from biology to geophysics. The common novel feature is the emergence of a 'ghost' frequency in the system's output which is absent in the input. As reviewed here, the uncovering of this phenomenon helped to understand a range of problems, from the perception of pitch in complex sounds or visual stimuli, to the explanation of climate cycles. Recent theoretical efforts show that a simple mechanism with two ingredients are at work in all these observations. The first one is the linear interference between the periodic inputs and the second a nonlinear detection of the largest constructive interferences, involving a noisy threshold. These notes are dedicated to review the main aspects of this phenomenon, as well as its different manifestations described on a bewildering variety of systems ranging from neurons, semiconductor lasers, electronic circuits to models of glacial climate cycles. © 2012 Taylor and Francis Group, LLC.

Registro:

Documento: Artículo
Título:The ghost of stochastic resonance: an introductory review
Autor:Balenzuela, P.; Braun, H.; Chialvo, D.R.
Filiación:Consejo Nacional de Investigaciones Científicas y Tecnológicas (CONICET), Buenos Aires, Argentina
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina
Heidelberg Academy of Sciences and Humanities, Heidelberg, Germany
Centre for Ice and Climate, Niels Bohr Institute, University of Copenhagen, Copenhagen, Denmark
Department of Physiology, David Geffen School of Medicine, UCLA, Los Angeles, CA, United States
Facultad de Ciencias Médicas, Universidad Nacional de Rosario, Rosario, Santa Fé, Argentina
Palabras clave:complex inharmonic forcing; ghost stochastic resonance; noise; threshold devices
Año:2012
Volumen:53
Número:1
Página de inicio:17
Página de fin:38
DOI: http://dx.doi.org/10.1080/00107514.2011.639605
Título revista:Contemporary Physics
Título revista abreviado:Contemp Phys.
ISSN:00107514
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00107514_v53_n1_p17_Balenzuela

Referencias:

  • Benzi, R., Sutera, A., Vulpiani, A., The mechanism of stochastic resonance (1981) J. Phys. A, 14, pp. L453-L457
  • Benzi, R., Parisi, G., Sutera, A., Vulpiani, A., Stochastic resonance in climatic change (1982) Tellus, 34, pp. 10-16
  • Longtin, A., Bulsara, A., Moss, F., Time-interval sequences in bistable systems and the noise-induced transmission of information by sensory neurons (1991) Phys. Rev. Lett, 67, pp. 656-659
  • Russell, D.F., Wilkens, L.A., Moss, F., Use of behavioral stochastic resonance by paddle fish for feeding (1999) Nature, 402, pp. 291-294
  • Weinsenfeld, K., Moss, F., Stochastic resonance and the benefits of noise: from ice ages to crayfish and squids (1995) Nature, 373, pp. 33-36
  • Bulsara, A., Gammaitoni, L., Tuning in to the noise (1996) Phys. Today, 49, pp. 39-47
  • Gammaitoni, L., Hanggi, P., Jung, P., Marchesoni, F., Stochastic resonance (1998) Rev. Mod. Phys, 70, pp. 223-287
  • Dykman, M.I., Mannella, R., McClintock, P.V.E., Stocks, N.G., Comment on "Stochastic resonance in bistable systems" (1990) Phys. Rev. Lett, 65, p. 2606
  • Dykman, M.I., Haken, H., Hu, G., Luchinsky, D.G., Mannella, R., McClintock, P.V.E., Ning, C.Z., Stocks, N.G., Linear response theory in stochastic resonance (1993) Phys. Lett. A, 180, pp. 332-336
  • Chialvo, D.R., Calvo, O., Gonzalez, D.L., Piro, O., Savino, G.V., Subharmonic stochastic synchronization and resonance in neuronal systems (2002) Phys. Rev. E, 65. , 050902-5(R)
  • Chialvo, D.R., How we hear what is not there: a neural mechanism for the missing fundamental illusion (2003) Chaos, 13, pp. 1226-1230
  • Bond, G., Broecker, W., Johnsen, S., McManus, J., Labeyrie, L., Jouzel, J., Bonani, G., Correlations between climate records from North Atlantic sediments and Greenland ice (1993) Nature, 365, pp. 143-147
  • de Boer, E., (1976) On the "residue" and auditory pitch perception, in Handbook of Sensory Physiology, pp. 479-583. , In: Keidel W.D., Neff W. D., editors Berlin: Springer-Verlag
  • Schouten, J.F., Ritsma, R.J., Cardozo, B.L., Pitch of the residue (1962) J. Acoustic Soc. Am, 34, pp. 1418-1424
  • von Helmholtz, H., (2005) On the sensations of tone as a physiological basis for the theory of music, , In: Ellis A.J., trans, editors Kila, MT: Kessinger Publ orig. ed. 1885
  • Grootes, P.M., Stuiver, M., White, J.W.C., Johnson, S., Jouzel, J., Comparison of the oxygen isotope records from the GISP2 and GRIP Greenland ice cores (1993) Nature, 366, pp. 552-554
  • Sachs, J.P., Lehman, S.J., Subtropical North Atlantic temperatures 60,000 to 30,000 years ago (1999) Science, 286, pp. 756-759
  • Spotl, C., Mangini, A., Stalagmite from the Austrian Alps reveals Dansgaard-Oeschger events during isotope stage 3: implications for the absolute chronology of Greenland ice cores (2002) Earth Planet. Sci. Lett, 203, pp. 507-518
  • Voelker, A.H.L., Global distribution of centennial-scale records for marine isotope stage (MIS) 3: a database (2002) Quat. Sci. Rev, 21, pp. 1185-1212. , participants workshop
  • Andersen, K., Svensson, A., Johnsen, S.J., Rasmussen, S.O., Bigler, M., Rothlisberger, R., Ruth, U., Clausen, H.B., The Greenland Ice Core Chronology 2005, 15-42 ka. Part 1: constructing the time scale (2006) Quat. Sci. Rev, 25, pp. 3246-3257
  • Schulz, M., On the 1470-year pacing of Dansgaard-Oeschger warm events (2002) Paleoceanography, 17, pp. 1014-1022
  • Rahmstorf, S., Timing of abrupt climate change: a precise clock (2003) Geophys. Res. Lett, 30 (10), p. 1510. , doi:10.1029/2003GL017115
  • Braun, H., Kurths, J., Were Dansgaard-Oeschger events forced by the Sun? (2010) Eur. Phys. J. Spec. Top, 191, pp. 117-129
  • Grootes, P.M., Stuiver, M., Oxygen 18/16 variability in Greenland snow and ice with 10 3 to 10 5-year time resolution J. Geophys. Res, 102 (1997), pp. 26455-26470
  • Gleissberg, W., A table of secular variations of the solar cycle (1944) Terr. Magn. Atm. Electr, 49, pp. 243-244
  • Feynman, J., Fougere, P.F., Eighty-eight year periodicity in solar-terrestrial phenomena confirmed J. Geophys. Res, 89 (5), pp. 3023-3027
  • Stuiver, M., Braziunas, T.F., Sun, ocean, climate and atmospheric 14CO 2: an evaluation of causal and spectral relationships (1993) Holocene, 3, pp. 289-305
  • Beer, J., Baumgartner, S., Hannen-Dittrich, B., Hauenstein, J., Kubik, P., Lukasczyk, C., Mende, W., Suter, M., (1994) Solar variability traced by cosmogenic isotopes, in The Sun as a Variable star: Solar and Stellar Irradiance Variations, pp. 291-300. , In: Pap J.M., Frohlich C., Hudson H. S., Solanki S. K., editors Cambridge: Cambridge University Press
  • Peristykh, A.N., Damon, P.E., Persistence of the Gleissberg 88-year solar cycle over the last 12,000 years: evidence from cosmogenic isotopes (2003) J. Geophys. Res, 108, pp. 1003-1017
  • Wagner, G., Beer, J., Masarik, J., Muscheler, R., Kubik, P.W., Mende, W., Laj, C., Yiou, F., Presence of the solar de Vries cycle (205 years) during the last ice age (2001) Geophys. Res. Lett, 28, pp. 303-306
  • Lean, J., Rind, D., Climate forcing by changing solar radiation (1998) J. Clim, 11, pp. 3069-3094
  • Braun, H., Christl, M., Rahmstorf, S., Ganopolski, A., Mangini, A., Kubatzki, C., Roth, K., Possible solar origin of the 1,470-year glacial climate cycle demonstrated in a coupled model (2005) Nature, 438, pp. 208-211
  • Braun, H., Ganopolski, A., Christl, M., Chialvo, D.R., A simple conceptual model of abrupt glacial climate events (2007) Nonlin. Processes Geophys, 14, pp. 709-721
  • Greenberg, S., Marsh, J.T., Brown, W.S., Smith, J.C., Neural temporal coding of low pitch. I. Human frequency following responses to complex tones (1987) Hear. Res, 25, pp. 91-114
  • Cariani, P.A., Temporal coding of periodicity pitch in the auditory system: an overview (1999) Neural Plast, 6, pp. 147-172
  • Tramo, M.J., Cariani, P.A., Delgutte, B., Braida, L.D., Neurobiological foundations for the theory of harmony in western tonal music (2001) Ann. N.Y. Acad. Sci, 930, pp. 92-116
  • Licklider, J.C.R., A duplex theory of pitch perception (1951) Experientia, 7, pp. 128-134
  • Meddis, R., Hewitt, J., Virtual pitch and phase sensitivity of a computer model of the auditory periphery I: pitch identification (1991) J. Acoust. Soc. Am, 89, pp. 2866-2882
  • Cariani, P.A., Delgutte, B., Neural correlates of the pitch of complex tones. I. Pitch and pitch salience (1996) J. Neurophysiol, 76, pp. 1698-1716
  • Neural correlates of the pitch of complex tones. II. Pitch shift, pitch ambiguity, phase invariance, pitchcircularity, rate pitch, and the dominance region for pitch (1996) J. Neurophysiol, 76, pp. 1717-1734
  • Goldstein, J., An optimum processor theory for the central formation of pitch of complex tones (1973) J. Acoust. Soc. Am, 54, pp. 1496-1516
  • Cohen, M., Grossberg, S., Wyse, L., A spectral network model of pitch perception (1995) J. Acoust. Soc. Am, 98, pp. 862-879
  • Langner, G., Neural processing and representation of periodicity pitch (1997) Acta Oto-Laryngol, pp. 68-76
  • Cartwright, J.H.E., Gonzalez, D.L., Piro, O., Pitch perception: a dynamical-systems perspective (2001) Proc. Natl.Acad. Sci. USA, 98, pp. 4855-4859
  • Martignoli, S., Stoop, R., Local cochlear correlations of perceived pitch (2010) Phys. Rev. Lett, 105, pp. 048101-048103
  • Pantev, C., Elbert, T., Ross, B., Eulitz, C., Terhardt, E., Binaural fusion and the representation of virtual pitch in the human auditory cortex (1996) Hear. Res, 100, pp. 164-170
  • Cramer, E.C., Huggins, W.H., Creation of pitch through binaural interaction (1958) J. Acoust. Soc. Am, 30, pp. 858-866
  • Balenzuela, P., García-Ojalvo, J., A neural mechanism for binaural pitch perception via ghost stochastic resonance (2005) Chaos, 15, p. 023903
  • Morris, C., Lecar, H., Voltage oscillations in the barnacle giant muscle fiber (1981) Biophys. J, 35, pp. 193-213
  • Destexhe, A., Mainen, Z.F., Sejnowski, T.J., An efficient method for computing synaptic conductances based on a kinetic model of receptor binding (1994) Neural Comput, 6, pp. 14-18
  • Giraudo, M., Sacerdote, L., Sicco, A., Ghost stochastic resonance for a neuron with a pair of periodic inputs , pp. 398-407; Uhlenbeck, G.E., Ornstein, L.S., On the theory ofBrownian motion (1930) Phys. Rev, 36, pp. 823-841
  • Fishman, Y.I., Volkov, I.O., Noh, M.D., Garell, P.C., Bakken, H., Arezzo, J.C., Howard, M.A., Steinschneider, M., Consonance and dissonance of musical chords: neural correlates in auditory cortex of monkeys and humans (2001) J. Neurophysiol, 86, pp. 2761-2788
  • Lots, I.S., Stone, L., Soc, J.R., Perception of musical consonance and dissonance: an outcome of neural synchronization (2008) Interface, 5, pp. 1429-1434
  • Heffernan, B., Longtin, A., Pulse-coupled neuron models as investigative tools for musical consonance (2009) J. Neurosci. Methods, 183, pp. 95-106
  • Plomp, R., Levelt, W.J.M., Tonal consonance and critical bandwidth (1965) J. Acoust. Soc. Am, 38, pp. 548-560
  • Ushakov, Y.V., Dubkov, A., Spagnolo, B., Spike train statistics for consonant and dissonant musical accords in a simple auditory sensory model (2010) Phys. Rev. E, 81, p. 041911
  • Regularity of spike trains and harmony perception in a model of the auditory system (2011) Phys. Rev. Lett, 107, p. 108103
  • Quiroga Lombard, C.S., Balenzuela, P., Braun, H., Chialvo, D.R., A simple conceptual model to interpret the 100,000 years dynamics of paleo-climate records (2010) Nonlin. Process Geophys, 17, pp. 585-592
  • Fujii, K., Kita, S., Matsushima, T., Ando, Y., The missing fundamental phenomenon in temporal vision (2000) Psychol. Res, 64, pp. 149-154
  • Brown, R.O., Sheng, H., Visual motion of missing fundamental patterns: motion energy versus feature correspondence (2000) Vision Res, 40, pp. 2135-2147
  • Risch, C., Voumard, C., Self pulsation in the output intensity and spectrum of GaAs-AlGaAs cw diode lasers coupled to a frequency-selective external optical cavity (1977) J. Appl. Phys, 48, pp. 2083-2086
  • Giudici, M., Green, C., Giaconelli, G., Nespolo, U., Tredicce, J.R., Andronov bifurcation and excitability in semiconductor lasers with optical feedback (1997) Phys. Rev. E, 55, pp. 6414-6418
  • Mulet, J., Mirasso, C.R., Numerical statistics of power dropouts based on the Lang-Kobayashi model (1999) Phys. Rev. E, 59, pp. 5400-5405
  • Giacomelli, G., Giudici, M., Balle, S., Tredicce, J.R., Experimental evidence of coherence resonance in an opticalsystem (2000) Phys. Rev. Lett, 84, pp. 3298-3301
  • Marino, F., Giudici, M., Barland, S., Balle, S., Experimental evidence of stochastic resonance in an excitable optical system (2002) Phys. Rev. Lett, 88, p. 040601
  • Buldú, J.M., García-Ojalvo, J., Mirasso, C.R., Torrent, M.C., Sancho, J.M., Effect of external noise correlation in optical coherence resonance (2001) Phys. Rev. E, 64, p. 051109
  • Buldú, J.M., García-Ojalvo, J., Mirasso, C.R., Torrent, M.C., Stochastic entrainment of optical power dropouts (2002) Phys. Rev. E, 66, p. 021106
  • Buldú, J.M., Chialvo, D.R., Mirasso, C.R., Torrent, M.C., García-Ojalvo, J., Ghost resonance in a semiconductor laser with optical feedback (2003) Europhys. Lett, 64, pp. 178-184
  • Buldú, J.M., González, C.M., Trull, J., Torrent, M.C., García-Ojalvo, J., Coupling-mediated ghost resonance in mutually injected lasers (2005) Chaos, 15, p. 013103
  • Van der Sande, G., Verschaffelt, G., Danckaert, J., Mirasso, C.R., Ghost stochastic resonance in vertical-cavity surface-emitting lasers: experiment and theory (2005) Phys. Rev. E, 72, p. 016113
  • Calvo, O., Chialvo, D.R., Ghost stochastic resonance on an electronic circuit (2006) IJBC, 16, pp. 731-735
  • Gingl, Z., Kiss, L.B., Moss, F., Non-dynamical stochastic resonance: Theory and experiments with white and arbitrarily colored noise (2005) Europhys. Lett, 29, pp. 191-196
  • Lopera, A., Buldú, J.M., Torrent, M.C., Chialvo, D.R., García-Ojalvo, J., Ghost stochastic resonance with distributed inputs in pulse-coupled electronic neurons (2006) Phys. Rev. E, 73, p. 021101
  • Báscones, R., García-Ojalvo, J., Sancho, J.M., Pulse propagation sustained by noise in arrays of bistable electronic circuits (2002) Phys. Rev. E, 65, p. 061108
  • Harikrishnan, K.P., Ambika, G., Resonance phenomena in discrete systems with bicromatic input signal (2008) Eur. Phys. J. B, 61, pp. 343-353
  • Khovanov, I.A., McClintock, P.V.E., Synchronization of stochastic bistable systems with biperiodic signals (2007) Phys. Rev. E, 76, p. 031122
  • Savelev, S., Marchesoni, F., Hangii, P., Nori, F., Signal mixing in a ratchet device: commensurability and current control (2004) Eur. Phys. J. B, 40, pp. 403-408

Citas:

---------- APA ----------
Balenzuela, P., Braun, H. & Chialvo, D.R. (2012) . The ghost of stochastic resonance: an introductory review. Contemporary Physics, 53(1), 17-38.
http://dx.doi.org/10.1080/00107514.2011.639605
---------- CHICAGO ----------
Balenzuela, P., Braun, H., Chialvo, D.R. "The ghost of stochastic resonance: an introductory review" . Contemporary Physics 53, no. 1 (2012) : 17-38.
http://dx.doi.org/10.1080/00107514.2011.639605
---------- MLA ----------
Balenzuela, P., Braun, H., Chialvo, D.R. "The ghost of stochastic resonance: an introductory review" . Contemporary Physics, vol. 53, no. 1, 2012, pp. 17-38.
http://dx.doi.org/10.1080/00107514.2011.639605
---------- VANCOUVER ----------
Balenzuela, P., Braun, H., Chialvo, D.R. The ghost of stochastic resonance: an introductory review. Contemp Phys. 2012;53(1):17-38.
http://dx.doi.org/10.1080/00107514.2011.639605