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Towards a quasi-periodic mean field theory for globally coupled oscillators

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Towards a quasi-periodic mean field theory for globally coupled oscillators. / Banaji, Murad; Glendinning, Paul.
In: Physics Letters A, Vol. 251, No. 5, 28.02.1999, p. 297-302.

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

Harvard

Banaji, M & Glendinning, P 1999, 'Towards a quasi-periodic mean field theory for globally coupled oscillators', Physics Letters A, vol. 251, no. 5, pp. 297-302. https://doi.org/10.1016/s0375-9601(98)00869-x

APA

Banaji, M., & Glendinning, P. (1999). Towards a quasi-periodic mean field theory for globally coupled oscillators. Physics Letters A, 251(5), 297-302. https://doi.org/10.1016/s0375-9601(98)00869-x

Vancouver

Banaji M, Glendinning P. Towards a quasi-periodic mean field theory for globally coupled oscillators. Physics Letters A. 1999 Feb 28;251(5):297-302. doi: 10.1016/s0375-9601(98)00869-x

Author

Banaji, Murad ; Glendinning, Paul. / Towards a quasi-periodic mean field theory for globally coupled oscillators. In: Physics Letters A. 1999 ; Vol. 251, No. 5. pp. 297-302.

Bibtex

@article{670a421dcebf47aba3e0981a2ecacc4b,
title = "Towards a quasi-periodic mean field theory for globally coupled oscillators",
abstract = "We show how a quasi-periodic mean field theory may be used to understand the chaotic dynamics and geometry of globally coupled complex Ginzburg-Landau equations. The Poincar{\'e} map of the mean field equations appears to have saddlenode-homoclinic bifurcations leading to chaotic motion, and the attractor has the characteristic ρ shape identified by numerical experiments on the full equations.",
author = "Murad Banaji and Paul Glendinning",
year = "1999",
month = feb,
day = "28",
doi = "10.1016/s0375-9601(98)00869-x",
language = "English",
volume = "251",
pages = "297--302",
journal = "Physics Letters A",
issn = "0375-9601",
publisher = "Elsevier",
number = "5",

}

RIS

TY - JOUR

T1 - Towards a quasi-periodic mean field theory for globally coupled oscillators

AU - Banaji, Murad

AU - Glendinning, Paul

PY - 1999/2/28

Y1 - 1999/2/28

N2 - We show how a quasi-periodic mean field theory may be used to understand the chaotic dynamics and geometry of globally coupled complex Ginzburg-Landau equations. The Poincaré map of the mean field equations appears to have saddlenode-homoclinic bifurcations leading to chaotic motion, and the attractor has the characteristic ρ shape identified by numerical experiments on the full equations.

AB - We show how a quasi-periodic mean field theory may be used to understand the chaotic dynamics and geometry of globally coupled complex Ginzburg-Landau equations. The Poincaré map of the mean field equations appears to have saddlenode-homoclinic bifurcations leading to chaotic motion, and the attractor has the characteristic ρ shape identified by numerical experiments on the full equations.

U2 - 10.1016/s0375-9601(98)00869-x

DO - 10.1016/s0375-9601(98)00869-x

M3 - Journal article

VL - 251

SP - 297

EP - 302

JO - Physics Letters A

JF - Physics Letters A

SN - 0375-9601

IS - 5

ER -