Hayashi’s connecting lemma
Let be a diffeomorphism of the compact smooth manifold , and let be such that there exists a nonperiodic point in (the intersection of the alpha limit set of with the omega limit set of ). Then there exists a diffeomorphism , arbitrarily close to in the topology of , such that is in the forward orbit of through , i.e. such that for some .
- 1 Wen, L., Xia, Z., connecting lemmas, Trans. Amer. Math. Soc. 352 (2000), no. 11, 5213-5230.
|Title||Hayashi’s connecting lemma|
|Date of creation||2013-03-22 14:07:16|
|Last modified on||2013-03-22 14:07:16|
|Last modified by||Koro (127)|