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摘要翻译：
利用最近引入的Kuramoto自同步振子系统模型(ARXIV:0704.116)，我们研究了一类由特定耦合格式定义的解析可解振子系统。我们证明了这些系统在临界点附近有一个对数标度律，相对于标准Kuramoto模型所表现的通常幂律行为，这可以被视为反常的。
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英文标题：
《A linear path toward synchronization: Anomalous scaling in a new class
of exactly solvable Kuramoto models》
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作者：
David C. Roberts and Razvan Teodorescu
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最新提交年份：
2008
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics 物理学
二级分类：Other Condensed Matter 其他凝聚态物质
分类描述：Work in condensed matter that does not fit into the other cond-mat classifications
在不适合其他cond-mat分类的凝聚态物质中工作
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一级分类：Physics 物理学
二级分类：Adaptation and Self-Organizing Systems 自适应和自组织系统
分类描述：Adaptation, self-organizing systems, statistical physics, fluctuating systems, stochastic processes, interacting particle systems, machine learning
自适应，自组织系统，统计物理，波动系统，随机过程，相互作用粒子系统，机器学习
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英文摘要：
Using a recently introduced linear reformulation of the Kuramoto model of self-synchronizing oscillator systems (arXiv:0704.1166), we study a new class of analytically solvable oscillator systems defined by a particular coupling scheme. We show that these systems have a logarithimic scaling law in the vicinity of the critical point, which may be seen as anomalous with respect to the usual power-law behavior exhibited by the standard Kuramoto model.
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PDF链接：
https://arxiv.org/pdf/801.3449
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