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Postponement of Hopf bifurcations by multiplicative colored noise.

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Postponement of Hopf bifurcations by multiplicative colored noise. / Fronzoni, L.; Mannella, R.; McClintock, Peter V. E. et al.
In: Physical review a, Vol. 36, No. 2, 07.1987, p. 834-841.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Fronzoni, L, Mannella, R, McClintock, PVE & Moss, F 1987, 'Postponement of Hopf bifurcations by multiplicative colored noise.', Physical review a, vol. 36, no. 2, pp. 834-841. https://doi.org/10.1103/PhysRevA.36.834

APA

Fronzoni, L., Mannella, R., McClintock, P. V. E., & Moss, F. (1987). Postponement of Hopf bifurcations by multiplicative colored noise. Physical review a, 36(2), 834-841. https://doi.org/10.1103/PhysRevA.36.834

Vancouver

Fronzoni L, Mannella R, McClintock PVE, Moss F. Postponement of Hopf bifurcations by multiplicative colored noise. Physical review a. 1987 Jul;36(2):834-841. doi: 10.1103/PhysRevA.36.834

Author

Fronzoni, L. ; Mannella, R. ; McClintock, Peter V. E. et al. / Postponement of Hopf bifurcations by multiplicative colored noise. In: Physical review a. 1987 ; Vol. 36, No. 2. pp. 834-841.

Bibtex

@article{380060a598cc42c68a6673e79bb935b7,
title = "Postponement of Hopf bifurcations by multiplicative colored noise.",
abstract = "Problems related to the definition of a Hopf bifurcation in the presence of noise are discussed in terms of three physical observables: the correlation functions, the power spectra, and the statistical densities. Of these, only the statistical density exhibits a distinct noise-induced transition. For a specific definition, only postponements are observed in analog simulator experiments with a Brusselator subject to white and colored noise on the control parameter. A recent prediction due to Lefever and Turner [Phys. Rev. Leu. 56, 1631 (1986)] is qualitatively tested.",
author = "L. Fronzoni and R. Mannella and McClintock, {Peter V. E.} and F. Moss",
year = "1987",
month = jul,
doi = "10.1103/PhysRevA.36.834",
language = "English",
volume = "36",
pages = "834--841",
journal = "Physical review a",
issn = "1050-2947",
publisher = "American Physical Society",
number = "2",

}

RIS

TY - JOUR

T1 - Postponement of Hopf bifurcations by multiplicative colored noise.

AU - Fronzoni, L.

AU - Mannella, R.

AU - McClintock, Peter V. E.

AU - Moss, F.

PY - 1987/7

Y1 - 1987/7

N2 - Problems related to the definition of a Hopf bifurcation in the presence of noise are discussed in terms of three physical observables: the correlation functions, the power spectra, and the statistical densities. Of these, only the statistical density exhibits a distinct noise-induced transition. For a specific definition, only postponements are observed in analog simulator experiments with a Brusselator subject to white and colored noise on the control parameter. A recent prediction due to Lefever and Turner [Phys. Rev. Leu. 56, 1631 (1986)] is qualitatively tested.

AB - Problems related to the definition of a Hopf bifurcation in the presence of noise are discussed in terms of three physical observables: the correlation functions, the power spectra, and the statistical densities. Of these, only the statistical density exhibits a distinct noise-induced transition. For a specific definition, only postponements are observed in analog simulator experiments with a Brusselator subject to white and colored noise on the control parameter. A recent prediction due to Lefever and Turner [Phys. Rev. Leu. 56, 1631 (1986)] is qualitatively tested.

U2 - 10.1103/PhysRevA.36.834

DO - 10.1103/PhysRevA.36.834

M3 - Journal article

VL - 36

SP - 834

EP - 841

JO - Physical review a

JF - Physical review a

SN - 1050-2947

IS - 2

ER -