Intermittency between type I and type v in some quasi-discontinuous systems

Intermittency between type I and type v in some quasi-discontinuous systems
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DOI:
10.1143/jpsj.70.69
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发表时间:
2001-01
影响因子:
1.7
通讯作者:
Shunguang Wu;D. He
Shunguang Wu;D. He
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
Shunguang Wu;D. He

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在某些实际系统中,一个非常短的快速变化阶段出现在一个相对很长且缓慢变化的过程中。这样的系统可称为准不连续系统。为了对其进行定性,我们定量地给出了拟不连续和拟不连续区域的定义。通过一个简化的模型,我们证明了在这种系统中,不稳定性的平均层长度的标度律可以是介于I型和V型之间的一个中间标度律。这一现象在描述神经元活动的Hindmarsh-Rose模型中已经观察到。
In some practical systems a very short, rapid changing stage appears inside a relatively very long and slowly changing process. Such a system may be called quasi-discontinuous system. In order to qualify it, we quantitatively give the definitions of quasi-discontinuity and quasi-discontinuous region. By a simplified model, we have shown that the scaling law of the averaged laminar length of the intermittency in such systems can be an intermediate one between that of type I and type V. This phenomenon has been observed in Hindmarsh-Rose model describing neuronal activities.