Autor:	Gan, Shaobo, Yang, Jiagang, Zheng, Rusong
Rok vydání:	2022
Předmět:	Mathematics - Dynamical Systems 37C10 37C27 37C29 37D30
Druh dokumentu:	Working Paper
Popis:	We show that for a $C^1$ generic vector field $X$ away from homoclinic tangencies, a nontrivial Lyapunov stable chain recurrence class is a homoclinic class. The proof uses an argument with $C^2$ vector fields approaching $X$ in $C^1$ topology, with their Gibbs $F$-states converging to a Gibbs $F$-state of $X$. Comment: 63 pages, 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2202.09742 Zobrazit plný text záznamu View this record from Arxiv