Stochastic nonlinear differential equation generating 1/f noise

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 70, Issue 2 1, 2004, Pages

  Kaulakys, B ^a   Ruseckas, J ^a  

^a VILNIUS UNIVERSITY   (Lithuania)

Author keywords

[No Author keywords available]

Indexed keywords

ASTROPHYSICS; BOUNDARY CONDITIONS; BROWNIAN MOVEMENT; CORRELATION METHODS; DIFFERENTIAL EQUATIONS; DIFFUSION; FREQUENCIES; FUNCTIONS; MATHEMATICAL TRANSFORMATIONS; SPURIOUS SIGNAL NOISE;

DIRAC DELTA FUNCTIONS; FOKKER-PLANCK (FP) EQUATIONS; LANGEVIN EQUATIONS; STOCHASTIC EQUATIONS;

NONLINEAR EQUATIONS;

EID: 42749106544     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.020101     Document Type: Article

References (21)

1. W. H. Press, Comments. Astrophys. 7, 103 (1978).
2. F. N. Hooge, T. G. M. Kleinpenning, and L. K. J. Vadamme, Rep. Prog. Phys. 44, 479 (1981).
3. P. Dutta and P. M. Horn, Rev. Mod. Phys. 53, 497 (1981).
4. M. B. Weissman, Rev. Mod. Phys. 60, 537 (1988).
5. G. P. Zhigal'skii, Usp. Fiz. Nauk 167, 623 (1997), [Phys. Usp. 40 599 (1997)].
6. G. P. Zhigal'skii, Usp. Fiz. Nauk 167, 623 (1997), [Phys. Usp. 40 599 (1997)].
7. D. L. Gilden, T. Thornton, and M. W. Mallon, Science 267, 1837 (1995).
8. S. Thurner, S. B. Lowen, M. C. Feurstein, C. Heneghan, H. G. Feichtinger, and M. C. Teich, Fractals 5, 565 (1997).
9. H. Scher, G. Margolin, R. Metzler, J. Klafter, and B. Berkowitz, Geophys. Res. Lett. 29, 1061 (2002).
10. E. Milotti, e-print physics/0204033.
11. B. Kaulakys and T. Meškauskas, Phys. Rev. E 58, 7013 (1998).
12. B. Kaulakys, e-print adap-org/9806004.
13. B. Kaulakys, Phys. Lett. A 257, 37 (1999).
14. B. Kaulakys and T. Meškauskas, Nonlinear Anal.: Mod. Contr. (Vilnius) 4, 87 (1999).
15. B. Kaulakys and T. Meškauskas, Microelectron. Reliab. 40, 1781 (2000).
16. B. Kaulakys, Microelectron. Reliab. 40, 1787 (2000).
17. B. Kaulakys, Lith. J. Phys. 40, 281 (2000).
18. C. W. Gardiner, Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences (Springer-Verlag, Berlin, 1985).
19. P. Bak, K. Christensen, L. Danon, and T. Scanlon, Phys. Rev. Lett. 88, 178501 (2002).
20. X. Gabaix, P. Gopikrishnan, V. Plerou, and E. Stanley, Nature (London) 423, 267 (2003).
21. A. L. McWhorter, in Semiconductor Surface Physics, edited by R. H. Kingston (University of Pennsylvania Press, Philadelphia, 1957), p. 207.