In this article the theory of NMIFS （Nonlinear Markov Iterated Function System） and the construction method of an NMIFS are presented. The balanced vector measure and the recursive calculation of the ＂moment＂ of a...In this article the theory of NMIFS （Nonlinear Markov Iterated Function System） and the construction method of an NMIFS are presented. The balanced vector measure and the recursive calculation of the ＂moment＂ of a class of NMIFS attractors are discussed, and the structure characteristics are analyzed. The result shows that we can calculate the moments ^M^（i） （i = 1, 2,...） for MIFS, but for NMIFS, we cannot calculate ^M^（i） directly because the calculation of ^M^（i）depends on the value of ^M^（j） （j ≥ i）. So only the approximated value of ^M^（i）could be obtained.展开更多
基金the National Natural Science Foundation of China (60573172)the Superior University Science Technology Research Project of Liaoning province (20040081).
文摘In this article the theory of NMIFS （Nonlinear Markov Iterated Function System） and the construction method of an NMIFS are presented. The balanced vector measure and the recursive calculation of the ＂moment＂ of a class of NMIFS attractors are discussed, and the structure characteristics are analyzed. The result shows that we can calculate the moments ^M^（i） （i = 1, 2,...） for MIFS, but for NMIFS, we cannot calculate ^M^（i） directly because the calculation of ^M^（i）depends on the value of ^M^（j） （j ≥ i）. So only the approximated value of ^M^（i）could be obtained.
