Sharma Ashutosh, Gupte Neelima
Department of Physics, University of Pune, India.
Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Sep;66(3 Pt 2A):036210. doi: 10.1103/PhysRevE.66.036210. Epub 2002 Sep 20.
We study the phenomenon of intermittency in an inhomogeneous lattice of coupled maps where the inhomogeneity appears in the form of different values of the map parameter at adjacent sites. This system exhibits spatiotemporal intermittency as well as purely spatial intermittency accompanied by temporal periodicity in different regions of the parameter space. Both types of intermittency appear as a result of bifurcations of codimension two in such systems. We identify the types of bifurcations that are seen. The intermittency near the bifurcation points and lines is associated with power-law distributions for the laminar lengths. The scaling laws for the laminar length distributions are obtained. Two distinct types of scaling behavior characterized by power laws with exponents that fall in two distinct ranges can be seen in the neighborhood of codimension-two bifurcation points. Additionally we find two crossover exponents.
我们研究了耦合映射的非均匀晶格中的间歇性现象,其中非均匀性以相邻位点处映射参数的不同值的形式出现。该系统在参数空间的不同区域表现出时空间歇性以及伴随着时间周期性的纯空间间歇性。这两种类型的间歇性都是此类系统中余维数为二的分岔的结果。我们确定了所观察到的分岔类型。分岔点和分岔线附近的间歇性与层流长度的幂律分布相关。得到了层流长度分布的标度律。在余维数为二的分岔点附近,可以看到两种不同类型的标度行为,其特征是幂律的指数落在两个不同的范围内。此外,我们还发现了两个交叉指数。