Fixed point indices of iterates of a low-dimensional diffeomorphism at a fixed point which is an isolated invariant set
The author determines all possible forms of the sequences of fixed point indices of iterates at \(0\), for diffeomorphisms in dimension two and three that admit \(\{0\}\) as an isolated invariant set. His method sheds some light on the problem of finding all possible forms of such indices for diffeomorphisms and non-injective maps in higher dimension.
scientific article; zbMATH DE number 6897427
scientific article