Red spectra from white and blue noise

Proceedings of the Royal Society B: Biological Sciences

Volumn 266, Issue 1416, 1999, Pages 311-314

  Balmforth, Neil J ^a,b   Provenzale, Antonello ^b   Spiegel, Edward A ^c,d   Martens, M ^e   Tresser, Charles ^e   Wu, Chai Wa ^e  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b Istituto di Cosmogeofisica   (Italy)

^c Och Spine at New York Presbyterian Hospitals   (United States)

^d WOODS HOLE OCEANOGRAPHIC INSTITUTION   (United States)

^e IBM T J WATSON RESEARCH CENTER   (United States)

Author keywords

Dynamical systems; Environmental effects; l f spectra; On off intermittency; Population dynamics

Indexed keywords

POPULATION DYNAMICS; TEMPORAL VARIATION;

ARTICLE; INFORMATION PROCESSING; POPULATION DYNAMICS; PRIORITY JOURNAL; WHITE NOISE;

EID: 0033531341     PISSN: 09628452     EISSN: 14712970     Source Type: Journal    
DOI: 10.1098/rspb.1999.0639     Document Type: Article

References (24)

1. Allen, M. R. & Smith, L. A. 1994 Investigating the origins and significance of low-frequency modes of climate variability. Geophys. Res. Lett. 21, 883-886.
2. Blarer, A. & Doebeli, M. 1996 In the red zone. Nature 380, 589-590.
3. Brockwell, P. J. & Davis, R. A. 1987 Time series: theory and methods. Berlin: Springer.
4. Cohen, J. E. 1995 Unexpected dominance of high frequencies in chaotic nonlinear population models. Nature 378, 610-612.
5. Diamond, J. M. & May, R. M. 1977 Species turnover rates on islands: dependence on census interval. Science 197, 266-270.
6. Ding, M. & Yang, W: 1997 Stability of synchronous chaos and on off intermittency in coupled map lattices. Phys. Rev. E 56, 4009-4016.
7. Duane, G. S. 1997 Synchronized chaos in extended systems and meteorological teleconnections. Phys. Rev. E 56, 6475-6493.
8. Halley, J. M. 1996 Ecology, evolution and 1/f noise. Trends Ecol. Evol. 11, 33-37.
9. Kaitala, V. & Ranta, F. 1996 Red/blue chaotic power spectra. Nature 381, 198-199.
10. Kaitala, V., Ylikarjula, J., Ranta, E. & Lundberg, P. 1997 Population dynamics and the colour of environmental noise. Proc. R. Soc. Lond. B264, 943-948.
11. Landa, P. S., Zaikin, A. A., Rosenblum, M. G. & Kurths, J. 1998 On off intermittency phenomena in a pendulum with a randomly vibrating suspension axis. Chaos, Solitons and Fractals 9, 157-169.
12. Ma, S. C. 1958 The population dynamics of the oriental migratory locust (Locusta migratoria manilensis Meyen) in China. Acta Ent. Sin. 8, 1-40.
13. May, R. M. & Oster, G. 1976 Bifurcations and dynamic complexity in simple ecological models. Am. Nat. 110, 573-590.
14. Miramontes, O. & Rohani, P. 1998 Intrinsically generated coloured noise in laboratory insect populations. Proc. R. Soc. Lond. B 265, 785-792.
15. Pimm, S. L. & Redfearn, A. 1988 The variability of population densities. Nature 334, 613-628.
16. Platt, N., Spiegel, E. A. & Tresser, C. 1993a On off intermittency: a mechanism for bursting. Phys. Rev. Lett. 70, 279-282.
17. Platt, N., Spiegel, E. A. & Tresser, C. 1993b The intermittent solar cycle. Geophys. Astrophys. Fluid Dyn. 73, 147-161.
18. Spiegel, E. A. 1981 A class of ordinary differential equations with strange attractors. Ann. NY Acad. Sci. 357, 305-312.
19. Steele, J. H. 1985 A comparison of terrestrial and marine ecosystems. Nature 313, 355-358.
20. Steele, J. H. & Henderson, E. W. 1992 A simple model for plankton patchiness. J. Plankt. Res. 14, 1397-1403.
21. Sugihara, G. 1995 From out of the blue. Nature. 378, 559.
22. von Hardenberg, J., Paparella, F., Platt, N., Provenzale, A., Spiegel, E. A. & Tresser C. 1997 Missing motor of on off intermittency. Phys. Rev. E 55, 58-64.
23. White, A., Begon, M. & Bowers, R. G. 1996a Red/blue chaotic power spectra. Nature 381, 198.
24. White, A., Begon, M. & Bowers, R. G. 1996b Explaining the colour of power spectra in chaotic ecological models. Proc. R. Soc. Lond. B 263, 1731-1737.