Construction of the Jordan basis for the Baker map.
Construction of the Jordan basis for the Baker map.
复制标题
为贝克地图构建约旦基础。
作者：
R. Fox
构造了可逆混沌Baker映射的Jordan标准型基态.给出了一个构造Jordan态和Frobenius-Perron演化算符谱分解的递推公式。与早期的子动力学方法相比，该方法更直接、更简单。本文从熵演化方程的观点讨论了约当态的物理意义。该方法也适用于伯努利映射，产生其本征态比以前做的更直接。(c)1997年美国物理学会。
The Jordan canonical form basis states for an invertible chaotic map, the Baker map, are constructed. A straightforwardly obtained recursion formula is presented for construction of the Jordan states and of the spectral decomposition of the Frobenius-Perron evolution operator. Comparison of this method with earlier, subdynamics techniques demonstrates that it is much more direct and simpler. The physical significance of the Jordan states is approached from the point of view of an entropy evolution equation. The method is also applied to the Bernoulli map, yielding its eigenstates more straightforwardly than done previously. (c) 1997 American Institute of Physics.