Universal twinkling exponents for spectral fluctuations associated with mixed chaology

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Universal twinkling exponents for spectral fluctuations associated with mixed chaology. / Berry, M. V.; Keating, J. P.; Schomerus, H.
In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 456, 2000, p. 1659.

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

Harvard

Berry, MV, Keating, JP & Schomerus, H 2000, 'Universal twinkling exponents for spectral fluctuations associated with mixed chaology', Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 456, pp. 1659. <http://dx.doi.org/10.1098/rspa.2000.0580>

APA

Berry, M. V., Keating, J. P., & Schomerus, H. (2000). Universal twinkling exponents for spectral fluctuations associated with mixed chaology. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 456, 1659. http://dx.doi.org/10.1098/rspa.2000.0580

Vancouver

Berry MV, Keating JP, Schomerus H. Universal twinkling exponents for spectral fluctuations associated with mixed chaology. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2000;456:1659.

Author

Berry, M. V. ; Keating, J. P. ; Schomerus, H. / Universal twinkling exponents for spectral fluctuations associated with mixed chaology. In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2000 ; Vol. 456. pp. 1659.

Bibtex

@article{4748543198ae4fc1b526ed884091914f,

title = "Universal twinkling exponents for spectral fluctuations associated with mixed chaology",

abstract = "For systems that are neither fully integrable nor fully chaotic, bifurcations of periodic orbits give rise to semiclassically emergent singularities in the fluctuating part Nfl of the energy-level counting function. The bifurcations dominate the spectral moments Mm(h) = ((Nfl)2m) in the limit h M 0. We argue that Mm(h) ~ const./hvm, and calculate the twinkling exponents vm as the result of a competition between bifurcations with different codimensions and repetition numbers.",

author = "Berry, {M. V.} and Keating, {J. P.} and H. Schomerus",

year = "2000",

language = "English",

volume = "456",

pages = "1659",

journal = "Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences",

issn = "1364-5021",

publisher = "Royal Society of Chemistry Publishing",

}

RIS

TY - JOUR

T1 - Universal twinkling exponents for spectral fluctuations associated with mixed chaology

AU - Berry, M. V.

AU - Keating, J. P.

AU - Schomerus, H.

PY - 2000

Y1 - 2000

N2 - For systems that are neither fully integrable nor fully chaotic, bifurcations of periodic orbits give rise to semiclassically emergent singularities in the fluctuating part Nfl of the energy-level counting function. The bifurcations dominate the spectral moments Mm(h) = ((Nfl)2m) in the limit h M 0. We argue that Mm(h) ~ const./hvm, and calculate the twinkling exponents vm as the result of a competition between bifurcations with different codimensions and repetition numbers.

AB - For systems that are neither fully integrable nor fully chaotic, bifurcations of periodic orbits give rise to semiclassically emergent singularities in the fluctuating part Nfl of the energy-level counting function. The bifurcations dominate the spectral moments Mm(h) = ((Nfl)2m) in the limit h M 0. We argue that Mm(h) ~ const./hvm, and calculate the twinkling exponents vm as the result of a competition between bifurcations with different codimensions and repetition numbers.

M3 - Journal article

VL - 456

SP - 1659

JO - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

SN - 1364-5021

ER -

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