Kye WH, Kim CM
National Creative Research Initiative Center for Controlling Optical Chaos, Pai-Chai University, Taejon 302-735, Korea.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Nov;62(5 Pt A):6304-7. doi: 10.1103/physreve.62.6304.
Near the point of tangent bifurcation, the scaling properties of the laminar length of type-I intermittency are investigated in the presence of noise. Based on analytic and numerical studies, we show that the scaling relation of the laminar length is dramatically deformed from 1/sqrt[epsilon] for epsilon>0 to exp(1/D)|epsilon|(3/2) for epsilon<0 as epsilon passes the bifurcation point (epsilon=0). The results explain why two coupled Rossler oscillators exhibit deformation of the scaling relation of the synchronous length in the nearly synchronous regime.
在接近切线分岔点处，研究了噪声存在时I型间歇性层流长度的标度性质。基于解析和数值研究，我们表明，当ε通过分岔点（ε = 0）时，层流长度的标度关系从ε>0时的1/√ε急剧变形为ε<0时的exp(1/D)|ε|^(3/2)。这些结果解释了为什么两个耦合的罗斯勒振荡器在近同步状态下同步长度的标度关系会出现变形。
