摘要翻译:
我们提出了一种不需要测量相位就能证明耦合混沌振子存在相位同步的方法。这是通过观察特殊时刻的振子,并分析这组点是否局域化来完成的。特别地,我们证明了这种方法对于分析相位没有很好定义的混沌吸引子以及由化学突触连接的非完全相同的尖峰/爆发神经元网络中的相位同步开始是富有成效的。
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英文标题:
《Detecting phase synchronization by localized maps: Application to neural
networks》
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作者:
T. Pereira, M.S. Baptista, and J. Kurths
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最新提交年份:
2007
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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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英文摘要:
We present an approach which enables to state about the existence of phase synchronization in coupled chaotic oscillators without having to measure the phase. This is done by observing the oscillators at special times, and analyzing whether this set of points is localized. In particular, we show that this approach is fruitful to analyze the onset of phase synchronization in chaotic attractors whose phases are not well defined, as well as, in networks of non-identical spiking/bursting neurons connected by chemical synapses.
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PDF链接:
https://arxiv.org/pdf/706.3317


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