Diffeomorphisms with the shadowing property

Journal of the Australian Mathematical Society

Volumn 61, Issue 3, 1996, Pages 396-399

  Sakai, Kazuhiro ^a  

^a KANAGAWA UNIVERSITY   (Japan)

Author keywords

Axiom A; Basic set; Shadowing property

Indexed keywords

EID: 0039926562     PISSN: 14467887     EISSN: None     Source Type: Journal    
DOI: 10.1017/s1446788700000471     Document Type: Article

References (8)

1. W. de Melo, 'Structural stability of diffeomorphisms on two-manifolds', Invent. Math. 21 (1973), 233-246.
2. K. Moriyasu, 'The topological stability of diffeomorphisms', Nagoya Math. J. 123 (1991), 91-102.
3. S. Newhouse, 'The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms', Inst. Hautes Études Sci. Publ. Math. 50 (1979), 101-151.
4. J. Palis and W. de Melo, Geometric theory of dynamical systems (an introduction) (Springer, Berlin, 1982).
5. 1 diffeomorphisms', J. Differential Equations 22 (1976), 28-73.
6. _, 'Stability theorems and hyperbolicity in dynamical systems', Rocky Mountain J. Math. 7 (1977), 425-437.
7. K. Sakai, 'Pseudo-orbit tracing property and strong transversality of diffeomorphisms on closed manifolds', Osaka J. Math. 31 (1994), 373-386.
8. _, 'Shadowing property and transversality condition', in: Proceedings of the International Conference on Dynamical Systems and Chaos in Tokyo 1994, vol. 1 (World Scientific, Singapore, 1995) pp. 233-238.