Abstract
Every Morse-Smale diffeomorphism of the circle is conjugate to a diffeomorphism belonging to the set defined by \[ f_{\omega,\varepsilon,k}(x)=x+\omega+\frac{\varepsilon}{2\pi}\sin(2k\pi x) \quad (0<\omega<1, 0<\varepsilon<1, k \text{ with } 0<\varepsilon k<1) \] and Morse-Smale diffeomorphisms in the set is $C^1$ open and dense, with respect to the relative topology, in Amol'd tongue.
Citation
Masatoshi OKA. Naoya SUMI. "Morse-Smale Diffeomorphisms and the Standard Family." Tokyo J. Math. 21 (2) 471 - 476, December 1998. https://doi.org/10.3836/tjm/1270041828
Information