Synchronisation of networked Kuramoto oscillators under stable Lévy noise
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- 作者：Alexander C. Kalloniatisa ; alexander.kalloniatis@dsto.defence.gov.au" class="auth_mail" title="E-mail the corresponding author ; Dale O. Robertsb ; dale.roberts@anu.edu.au" class="auth_mail" title="E-mail the corresponding author
- 关键词：Synchronisation ; Oscillator ; Kuramoto ; Network ; Noise ; Heavy-tail
- 刊名：Physica A: Statistical Mechanics and its Applications
- 出版年：2017
- 出版时间：15 January 2017
- 年：2017
- 卷：466
- 期：Complete
- 页码：476-491
- 全文大小：1484 K
文摘
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We apply stable Lévy noise to the Kuramoto model of equal frequency oscillators.
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Barabási–Albert and Erdös–Rényi random network cases of 1000 nodes are compared.
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Differences in synchronisation for the two cases generalise beyond Gaussian noise.
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New types of synchrony are seen showing drift depending on the Levy alpha index.
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The results are analytically explained with the fractional Fokker–Planck equation.