An example of C-1-generically wild homoclinic classes with index deficiency

作者：Shinohara Katsutoshi^*

来源：Nonlinearity, 2011, 24(7): 1961-1974.

DOI：10.1088/0951-7715/24/7/003

Given a four-dimensional smooth closed manifold, we construct a diffeomorphism that has a homoclinic class whose continuation locally generically satisfies the following condition: it does not admit any kind of dominated splittings whereas any periodic point belonging to it never has index (the dimension of the unstable manifold) one.

• 出版日期2011-7