Subbiah Suresh, Driebe Dean J.
Center for Studies in Statistical Mechanics and Complex Systems, The University of Texas at Austin, Austin, Texas 78712.
Chaos. 1998 Dec;8(4):741-756. doi: 10.1063/1.166360.
The generalized spectral decomposition of the Frobenius-Perron operator of the tent map with varying height is determined at the band-splitting points. The decomposition includes both decay onto the attracting set and the approach to the asymptotically periodic state on the attractor. Explicit compact expressions for the polynomial eigenstates are obtained using algebraic techniques. (c) 1998 American Institute of Physics.
具有可变高度的帐篷映射的弗罗贝尼乌斯 - 佩龙算子的广义谱分解在能带分裂点处被确定。该分解既包括衰减到吸引集上,也包括在吸引子上趋近于渐近周期状态。使用代数技术获得了多项式本征态的显式紧致表达式。(c)1998 美国物理研究所。