Horita Takehiko, Suetani Hiromichi
Department of Mathematical Engineering and Information Physics, The University of Tokyo, Tokyo 113-8656, Japan.
Phys Rev E Stat Nonlin Soft Matter Phys. 2002 May;65(5 Pt 2):056217. doi: 10.1103/PhysRevE.65.056217. Epub 2002 May 20.
For a two-dimensional piecewise linear map exhibiting on-off intermittency, the scaling property of fluctuation, i.e., the large deviation property is investigated. It is shown that there are three phases of fluctuation and the q-weighted average of an observed quantity has singularities such as jumps or a plateau due to transitions between the phases. At the onset of on-off intermittency, the width of the plateau vanishes due to the disappearance of one of the three phases and the singularity becomes weaker but more probable. The singularity at the onset of on-off intermittency is also examined on the coupled logistic map.
对于一个表现出开-关间歇性的二维分段线性映射，研究了涨落的标度性质，即大偏差性质。结果表明，存在三个涨落阶段，并且由于各阶段之间的转变，观测值的q加权平均值具有跳跃或平台等奇异性。在开-关间歇性开始时，由于三个阶段之一的消失，平台的宽度消失，奇异性变得较弱但更有可能出现。还在耦合逻辑映射上研究了开-关间歇性开始时的奇异性。
