Abstract: In this paper we introduce the evolution law of thinking-neural network attractor in the field of thinking dynamics,a new idea about the attractor evolution using evolutional map- ping transformation is given on the bases of generalized isologous concept.The idea is connected with the intuitive thinking.This paper lays a foundation for the further studying of the brain thinking process.

Key words: thinking dynamics, thinking neural network, attractor evolution, evolutional map- ping intuition generalized isolog