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Volumn 42, Issue 6, 2009, Pages

The fractional oscillator process with two indices

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EID: 64549125064     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/42/6/065208     Document Type: Article
Times cited : (66)

References (69)
  • 3
    • 0034414111 scopus 로고    scopus 로고
    • Fractional Langevin equation to describe anamalous diffusion
    • Kobelev V and Romanov E 2000 Fractional Langevin equation to describe anamalous diffusion Prog. Theor. Phys. Suppl. 139 470-6
    • (2000) Prog. Theor. Phys. Suppl. , vol.139 , pp. 470-476
    • Kobelev, V.1    Romanov, E.2
  • 5
    • 0002641421 scopus 로고    scopus 로고
    • The random walk's guide to anomalous diffusion: A fractional dynamics approach
    • Metzler R and Klafter J 2000 The random walk's guide to anomalous diffusion: a fractional dynamics approach Phys. Rep. 339 1-77
    • (2000) Phys. Rep. , vol.339 , Issue.1 , pp. 1-77
    • Metzler, R.1    Klafter, J.2
  • 7
    • 4043151477 scopus 로고    scopus 로고
    • The restaurant at the end of the random walk: Recent developments in the description of anomalous transport by fractional dynamics
    • Metzler R and Klafter J 2004 The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics J. Phys. A: Math. Gen. 37 R161-208
    • (2004) J. Phys. A: Math. Gen. , vol.37 , Issue.31
    • Metzler, R.1    Klafter, J.2
  • 8
    • 0037276351 scopus 로고    scopus 로고
    • Relaxation processes and fractional differential equations
    • Uchaikin V V 2003 Relaxation processes and fractional differential equations Int. J. Theor. Phys. 42 121-34
    • (2003) Int. J. Theor. Phys. , vol.42 , Issue.1 , pp. 121-134
    • Uchaikin, V.V.1
  • 10
    • 0000501589 scopus 로고
    • Fractional Brownian motions, fractional noises and applications
    • Mandelbrot B B and Van Ness J W 1968 Fractional Brownian motions, fractional noises and applications SIAM Rev. 10 422-37
    • (1968) SIAM Rev. , vol.10 , Issue.4 , pp. 422-437
    • Mandelbrot, B.B.1    Van Ness, J.W.2
  • 13
    • 84897386934 scopus 로고
    • A statistical model of flicker noise
    • Allan D W and Barnes J A 1966 A statistical model of flicker noise Proc. IEEE 54 176-8
    • (1966) Proc. IEEE , vol.54 , Issue.2 , pp. 221-178
    • Allan, D.W.1    Barnes, J.A.2
  • 14
    • 0000515414 scopus 로고
    • The fractional Ornstein-Uhlenbeck process as a representation of homogeneous Eulerian velocity turbulence
    • Shao Y 1995 The fractional Ornstein-Uhlenbeck process as a representation of homogeneous Eulerian velocity turbulence Physica D 83 461-77
    • (1995) Physica , vol.83 , Issue.4 , pp. 461-477
    • Shao, Y.1
  • 15
    • 41349104439 scopus 로고    scopus 로고
    • Self-similar Gaussian processes for modeling anomalous diffusion
    • Lim S C and Muniandy S V 2002 Self-similar Gaussian processes for modeling anomalous diffusion Phys. Rev. E 66 021114
    • (2002) Phys. Rev. , vol.66 , Issue.2 , pp. 021114
    • Lim, S.C.1    Muniandy, S.V.2
  • 16
    • 33646771003 scopus 로고    scopus 로고
    • Riemann-Liouville and Weyl fractional oscillator processes
    • Lim S C and Eab C H 2006 Riemann-Liouville and Weyl fractional oscillator processes Phys. Lett. A 335 87-93
    • (2006) Phys. Lett. , vol.355 , Issue.2 , pp. 87-93
    • Lim, S.C.1    Eab, C.H.2
  • 17
    • 34547313503 scopus 로고    scopus 로고
    • Locally self-similar fractional oscillator processes
    • Lim S C, Li M and Teo L P 2007 Locally self-similar fractional oscillator processes Fluc. Noise Lett. 7 L169-179
    • (2007) Fluc. Noise Lett. , vol.7 , Issue.2
    • Lim Li C S, M.1    Teo, L.P.2
  • 18
    • 28044435921 scopus 로고    scopus 로고
    • An example of infinite dimensional quasi-helix
    • Houdre C and Villa J 2003 An example of infinite dimensional quasi-helix Contemp. Math. 336 195-201
    • (2003) Contemp. Math. , vol.336 , pp. 195-201
    • Houdre, C.1    Villa, J.2
  • 19
    • 33748115287 scopus 로고    scopus 로고
    • On bifractional Brownian motion
    • Russo F and Tudor C A 2005 On bifractional Brownian motion Stoch. Process. Appl. 116 831-56
    • (2005) Stoch. Process. Appl. , vol.116 , pp. 831-856
    • Russo, F.1    Tudor, C.A.2
  • 20
    • 0033175565 scopus 로고    scopus 로고
    • Possible long-range dependence in fractional random fields
    • Anh V V, Angulo J M and Ruiz-Medina M D 1999 Possible long-range dependence in fractional random fields J. Stat. Plan. Inference 80 95-110
    • (1999) J. Stat. Plan. Inference , vol.80 , Issue.1-2 , pp. 95-110
    • Anh Angulo V V, J.M.1    Ruiz-Medina, M.D.2
  • 21
    • 3142710385 scopus 로고    scopus 로고
    • Stochastic models that separate fractal dimension and the Hurst effect
    • Gneiting T and Schlather M 2004 Stochastic models that separate fractal dimension and the Hurst effect SIAM Rev. 46 269-82
    • (2004) SIAM Rev. , vol.46 , Issue.2 , pp. 269-282
    • Gneiting, T.1    Schlather, M.2
  • 22
    • 33644902936 scopus 로고    scopus 로고
    • Generalized Cauchy process and its application to relaxation phenomena
    • Lim S C and Li M 2006 Generalized Cauchy process and its application to relaxation phenomena J. Phys. A: Math. Gen. 39 2035-951
    • (2006) J. Phys. A: Math. Gen. , vol.39 , Issue.9 , pp. 2035-2951
    • Lim, S.C.1    Li, M.2
  • 24
    • 21044437200 scopus 로고    scopus 로고
    • Genome phylogeny based on short-range correlations in DNA sequences
    • Dehnert M, Plaumann R, Helm W E and Hutt M-T 2005 Genome phylogeny based on short-range correlations in DNA sequences J. Comput. Biol. 12 545-53
    • (2005) J. Comput. Biol. , vol.12 , Issue.5 , pp. 545-553
    • Dehnert Plaumann Helm R M, W.E.1    Hutt, M.-T.2
  • 25
    • 0033211899 scopus 로고    scopus 로고
    • Long- and short-range correlations in genome organization
    • Almirantis Y and Provata A 1999 Long- and short-range correlations in genome organization J. Stat. Phys. 97 233-62
    • (1999) J. Stat. Phys. , vol.97 , Issue.1-2 , pp. 233-262
    • Almirantis, Y.1    Provata, A.2
  • 26
    • 40049086191 scopus 로고    scopus 로고
    • Airway pressure alters wavelet fractal dynamics and short-range dependence of respiratory variability
    • Goldman L J, Jarabo R M and Gomez R G 2008 Airway pressure alters wavelet fractal dynamics and short-range dependence of respiratory variability Respir. Physiol. Neurobiol. 161 29-40
    • (2008) Respir. Physiol. Neurobiol. , vol.161 , Issue.1 , pp. 29-40
    • Goldman Jarabo J L, R.M.1    Gomez, R.G.2
  • 28
  • 29
    • 34047203824 scopus 로고    scopus 로고
    • Natural fluctuations of an electropore show fractional Lévy stable motion
    • Kotulska M 2007 Natural fluctuations of an electropore show fractional Lévy stable motion Biophys. J. 92 2412-21
    • (2007) Biophys. J. , vol.92 , Issue.7 , pp. 2412-2421
    • Kotulska, M.1
  • 30
    • 52349118652 scopus 로고    scopus 로고
    • Langevin equation with two fractional orders
    • Lim S C, Li M and Teo L P 2008 Langevin equation with two fractional orders Phys. Lett. A 372 6309-20
    • (2008) Phys. Lett. , vol.372 , Issue.42 , pp. 6309-6320
    • Lim Li C S, M.1    Teo, L.P.2
  • 33
    • 41349117569 scopus 로고    scopus 로고
    • Fractional Langevin model of memory in financial time series
    • West B and Picozzi S 2002 Fractional Langevin model of memory in financial time series Phys. Rev. E 66 037106
    • (2002) Phys. Rev. , vol.65 , Issue.3 , pp. 037106
    • West, B.1    Picozzi, S.2
  • 34
    • 45849155458 scopus 로고    scopus 로고
    • Fractional Langevin model of memory in financial markets
    • Picozzi S and West B 2002 Fractional Langevin model of memory in financial markets Phys. Rev. E 66 046118
    • (2002) Phys. Rev. , vol.66 , Issue.4 , pp. 046118
    • Picozzi, S.1    West, B.2
  • 36
    • 33846158186 scopus 로고    scopus 로고
    • Fractional oscillator driven by a Gaussian noise
    • Drozdov A D 2007 Fractional oscillator driven by a Gaussian noise Physica A 376 237-45
    • (2007) Physica , vol.376 , pp. 237-245
    • Drozdov, A.D.1
  • 38
    • 0037097306 scopus 로고    scopus 로고
    • Response characteristics of a fractional oscillator
    • Narahari Achar B N, Hanneken J W and Clarke T 2002 Response characteristics of a fractional oscillator Physica A 309 275-88
    • (2002) Physica , vol.309 , Issue.3-4 , pp. 275-288
    • Narahari Achar Hanneken N B, J.W.1    Clarke, T.2
  • 39
    • 0036870768 scopus 로고    scopus 로고
    • Damped oscillations in view of the fractional oscillator equation
    • Ryabov Ya E and Puzenko A 2002 Damped oscillations in view of the fractional oscillator equation Phys. Rev. B 66 184201
    • (2002) Phys. Rev. , vol.66 , Issue.18 , pp. 184201
    • Ryabov Ya, E.1    Puzenko, A.2
  • 40
    • 2942532686 scopus 로고    scopus 로고
    • Damping characteristics of a fractional oscillator
    • Narahari Achar B N, Hanneken J W and Clarke T 2004 Damping characteristics of a fractional oscillator Physica A 339 311-9
    • (2004) Physica , vol.339 , Issue.3-4 , pp. 311-319
    • Narahari Achar Hanneken N B, J.W.1    Clarke, T.2
  • 41
    • 37649027668 scopus 로고    scopus 로고
    • Fractional oscillator
    • Stanislavsky A A 2004 Fractional oscillator Phys. Rev. E 70 051103
    • (2004) Phys. Rev. , vol.70 , Issue.5 , pp. 051103
    • Stanislavsky, A.A.1
  • 42
    • 19944407567 scopus 로고    scopus 로고
    • Twists of fractional oscillations
    • Stanislavsky A A 2005 Twists of fractional oscillations Physica A 354 101-10
    • (2005) Physica , vol.354 , pp. 101-110
    • Stanislavsky, A.A.1
  • 43
    • 0001131950 scopus 로고
    • On a class of random field models which allows long range dependence
    • Gay R and Heyde C C 1990 On a class of random field models which allows long range dependence Biometrika 77 401-3
    • (1990) Biometrika , vol.77 , Issue.2 , pp. 401-403
    • Gay, R.1    Heyde, C.C.2
  • 46
    • 0010829708 scopus 로고    scopus 로고
    • Canonical quantization of non-local field equations
    • Barci D G, Oxman L E and Rocca M 1996 Canonical quantization of non-local field equations Int. J. Mod. Phys. A 11 2111-26
    • (1996) Int. J. Mod. Phys. , vol.11 , Issue.12 , pp. 2111-2126
    • Barci Oxman G D, L.E.1    Rocca, M.2
  • 47
    • 1842736221 scopus 로고    scopus 로고
    • Stochastic quantization of nonlocal fields
    • Lim S C and Muniandy S V 2004 Stochastic quantization of nonlocal fields Phys. Lett. A 324 396-405
    • (2004) Phys. Lett. , vol.324 , Issue.5-6 , pp. 396-405
    • Lim, S.C.1    Muniandy, S.V.2
  • 48
    • 0001562027 scopus 로고
    • Perturbation theory without gauge fixing
    • Parisi G and Wu Y S 1981 Perturbation theory without gauge fixing Sci. Sinica 24 483-96
    • (1981) Sci. Sinica , vol.24 , Issue.4 , pp. 483-496
    • Parisi, G.1    Wu, Y.S.2
  • 49
    • 0002400901 scopus 로고    scopus 로고
    • Analytic and asymptotic properties of generalized Linnik probability densities
    • Erdogan M B and Ostrovskii I V 1998 Analytic and asymptotic properties of generalized Linnik probability densities J. Math. Anal. Appl. 217 555-78
    • (1998) J. Math. Anal. Appl. , vol.217 , Issue.2 , pp. 555-578
    • Erdogan, M.B.1    Ostrovskii, I.V.2
  • 50
    • 0000140206 scopus 로고
    • Analytic and asymptotic properties of Linnik's probability density I, II
    • Kotz S, Ostrovskii I V and Hayfavi A 1995 Analytic and asymptotic properties of Linnik's probability density I, II J. Math. Anal. Appl. 193 353-371, 497
    • (1995) J. Math. Anal. Appl. , vol.193 , pp. 353-371
    • Kotz Ostrovskii S, I.V.1    Hayfavi, A.2
  • 52
    • 0041350470 scopus 로고    scopus 로고
    • Anisotropic analysis of some Gaussian models
    • Bonami A and Estrade A 2003 Anisotropic analysis of some Gaussian models J. Fourier Anal. Appl. 9 215-36
    • (2003) J. Fourier Anal. Appl. , vol.9 , Issue.3 , pp. 215-236
    • Bonami, A.1    Estrade, A.2
  • 55
    • 0002582847 scopus 로고    scopus 로고
    • The generalized multifractional Brownian motion
    • Ayache A and Vehel J L 2000 The generalized multifractional Brownian motion Stat. Inference Stoch. Process. 3 7-18
    • (2000) Stat. Inference Stoch. Process. , vol.3 , Issue.1-2 , pp. 7-18
    • Ayache, A.1    Vehel, J.L.2
  • 58
    • 0035509430 scopus 로고    scopus 로고
    • Fractional Langevin equation
    • Lutz E 2001 Fractional Langevin equation Phys. Rev. E 64 051105
    • (2001) Phys. Rev. , vol.64 , Issue.5 , pp. 051106
    • Lutz, E.1
  • 59
    • 0000596206 scopus 로고
    • Long-time correlation effects and fractal Brownian motion
    • Wang K G and Lung C W 1991 Long-time correlation effects and fractal Brownian motion Phys. Lett. A 151 119-21
    • (1991) Phys. Lett. , vol.151 , Issue.3-4 , pp. 119-121
    • Wang, K.G.1    Lung, C.W.2
  • 60
    • 0000826626 scopus 로고
    • Long-time correlation effects and biased anomalous diffusion
    • Wang K G 1992 Long-time correlation effects and biased anomalous diffusion Phys. Rev. A 45 833-9
    • (1992) Phys. Rev. , vol.45 , Issue.2 , pp. 833-839
    • Wang, K.G.1
  • 62
    • 49049141388 scopus 로고
    • Stochastic processes: Time evolution, symmetries and linear response
    • Hänggi P and Thomas H 1982 Stochastic processes: time evolution, symmetries and linear response Phys. Rep. 88 207-314
    • (1982) Phys. Rep. , vol.88 , Issue.4 , pp. 207-314
    • Hänggi, P.1    Thomas, H.2
  • 64
    • 33645916849 scopus 로고
    • Zeta function regularization of path integrals in curved space time
    • Hawking S W 1977 Zeta function regularization of path integrals in curved space time Commun. Math. Phys. 55 139-70
    • (1977) Commun. Math. Phys. , vol.55 , Issue.2 , pp. 133-170
    • Hawking, S.W.1


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