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- Edward Ott
- University of Maryland , College Park, Maryland 20742, USA
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- Thomas M. Antonsen
- University of Maryland , College Park, Maryland 20742, USA
書誌事項
- 公開日
- 2008-09-01
- DOI
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- 10.1063/1.2930766
- 公開者
- AIP Publishing
この論文をさがす
説明
<jats:p>It is shown that, in the infinite size limit, certain systems of globally coupled phase oscillators display low dimensional dynamics. In particular, we derive an explicit finite set of nonlinear ordinary differential equations for the macroscopic evolution of the systems considered. For example, an exact, closed form solution for the nonlinear time evolution of the Kuramoto problem with a Lorentzian oscillator frequency distribution function is obtained. Low dimensional behavior is also demonstrated for several prototypical extensions of the Kuramoto model, and time-delayed coupling is also considered.</jats:p>
収録刊行物
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- Chaos: An Interdisciplinary Journal of Nonlinear Science
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Chaos: An Interdisciplinary Journal of Nonlinear Science 18 (3), 037113-, 2008-09-01
AIP Publishing
