Shadowing, expansiveness and hyperbolic homeomorphisms

Journal of the Australian Mathematical Society

Volumn 61, Issue 1, 1996, Pages 57-72

  Ombach, Jerzy ^a  

^a JAGIELLONIAN UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040793766     PISSN: 14467887     EISSN: None     Source Type: Journal    
DOI: 10.1017/s1446788700000070     Document Type: Article

References (22)

1. N. Aoki, 'On homeomorphisms with pseudo-orbit tracing property', Tokyo J. Math. 6 (1983), 329-334.
2. _, 'Topological dynamics', in: Topics in general topology (eds. K. Morita and J. Nagata; Elsevier Science Publishers, New York, 1989) pp. 625-739.
3. N. Bhatia and G. Szego, Stability theory of dynamical systems (Springer, Berlin, 1970).
4. R. Bowen, Equilibrium states and the ergodic theory of Anosov diffeomorphisms, Lectures Notes in Math. 470 (Springer, Berlin, 1975).
5. _, On Axiom A diffeomorphisms, Regional Conference Series in Math 35 (Amer. Math. Soc., Providence, 1978).
6. R. Mañé, 'Quasi Anosov diffeomorphisms', in: Dynamical systems, Warwick, 1974 (ed. A. Manning), Lectures Notes in Math. 468 (Springer, Berlin, 1975) pp. 27-29.
7. R. Mañé, 'Quasi Anosov diffeomorphisms', in: Dynamical systems, Warwick, 1974 (ed. A. Manning), Lectures Notes in Math. 468 (Springer, Berlin, 1975) pp. 27-29.
8. _, 'Expansive diffeomorphisms', in: Dynamical systems, Warwick, 1974 (ed. A. Manning), Lectures Notes in Math. 468 (Springer, Berlin, 1975) pp. 162-174.
9. _, 'Expansive diffeomorphisms', in: Dynamical systems, Warwick, 1974 (ed. A. Manning), Lectures Notes in Math. 468 (Springer, Berlin, 1975) pp. 162-174.
10. _, Ergodic theory and differentiable dynamics (Springer, Berlin, 1987).
11. 1 stability conjecture', Ìnst. Hautes Études Sci. Publ. Math. 66 (1988), 161-210.
12. J. Munkres, Elementary differential topology (Princeton University Press, 1963).
13. Z. Nitecki, Differentiable dynamics (M.I.T. Press, 1971).
14. J. Ombach, 'Equivalent conditions for hyperbolic coordinates', Topology Appl. 23 (1986), 87-90.
15. _, 'Consequences of the pseudo orbits tracing property and expansiveness', J. Australian Math. Soc. (Series A) 43 (1987), 301-313.
16. _, 'Expansive homeomorphisms with the pseudo orbits tracing property', Polish Academy of Sciences, preprint 383, 1987.
17. _, 'Sinks, sources and saddles for expansive flows with the pseudo-orbits tracing property', Ann. Polon. Math. 53 (1991), 238-252.
18. _. 'Saddles for expansive flows with the pseudo orbits tracing property', Ann. Polon. Math. 56 (1991), 37-48.
19. W. Reddy and L. Robertson, 'Sources, sinks and saddles for expansive homeomorphisms with canonical coordinates', Rocky Mountain J. Math. 17 (1987), 673-681.
20. D. Ruelle, Thermodynamic formalism (Addison-Wesley, Reading, 1978).
21. P. Walters, 'On the pseudo orbit tracing property and its relationship to stability', in: The structure of attractors in dynamical systems (eds. J. C. Martin, N. G. Markley and W. Perrizo), Lecture Notes in Math. 668 (Springer, Berlin, 1978) pp. 231-244.
22. K. Sakai, 'Hyperbolic metrics for expansive homeomorphisms', Topology Appl. 63 (1995) 263-266.