具有野分离阵的超同态的拟能量函数
Quasi-energy function for diffeomorphisms with wild separatrices
摘要：
根据Pixton的观点，存在3-球面的Morse-Smale同构，它们没有能量函数，即一个李雅普诺夫函数，其临界点都是同构的周期点。引入Morse-Smale同态的拟能量函数的概念，将其作为具有最少临界点的Lyapunov函数，并从3-球面上的一类Morse-Smale同态出发，构造了任意Morse-Smale同态的拟能量函数.
英文摘要：
According to Pixton, there are Morse-Smale diffeomorphisms of the 3-sphere which have no energy function, that is a Lyapunov function whose critical points are all periodic points of the diffeomorphism. We introduce the concept of quasi-energy function for a Morse-Smale diffeomorphism as a Lyapunov function with the least number of critical points and construct a quasi-energy function for any diffeomorphism from some class of Morse-Smale diffeomorphisms on the 3-sphere.
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