Morse-Smale Diffeomorphisms and the Standard Family
OKA, Masatoshi ; SUMI, Naoya
Tokyo J. of Math., Tome 21 (1998) no. 2, p. 471-476 / Harvested from Project Euclid
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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.
Publié le : 1998-12-15
Classification:  
@article{1270041828,
     author = {OKA, Masatoshi and SUMI, Naoya},
     title = {Morse-Smale Diffeomorphisms and the Standard Family},
     journal = {Tokyo J. of Math.},
     volume = {21},
     number = {2},
     year = {1998},
     pages = { 471-476},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1270041828}
}

OKA, Masatoshi; SUMI, Naoya. Morse-Smale Diffeomorphisms and the Standard Family. Tokyo J. of Math., Tome 21 (1998) no. 2, pp.  471-476. http://gdmltest.u-ga.fr/item/1270041828/