A refinement of the Conley index and an application to the stability of hyperbolic invariant sets

Ergodic Theory and Dynamical Systems

Volumn 7, Issue 1, 1987, Pages 93-103

  Floer, Andreas ^a  

^a RUHR UNIVERSITY BOCHUM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002325489     PISSN: 01433857     EISSN: 14694417     Source Type: Journal    
DOI: 10.1017/S0143385700003825     Document Type: Article

References (10)

1. Benci V. MRC-report, to appear.
2. Conley C. C. Isolated Invariant Sets and the Morse Index. CBMS, Regional Conf. Series in Math., vol. 38 (1978).
3. Conley C. & Zehnder E. Morse type index theory for Hamiltonian equations. Comm. Pure and Appl. Math. XXXVII (1984), 207–253. 10.1002/cpa.3160370204
4. Fadell F. T. & Rabinowitz P. H. Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems. Inv. Math. 45 (1978), 139–174. 10.1007/BF01390270
5. Fenichel N. Persistence and smoothness of invariant manifolds for flows. Ind. Univ. Math. J. 21, No. 3 (1971).10.1512/iumj.1971.21.21017
6. Floer A. Proof of the Arnold conjecture for surfaces and generalizations for certain Kähler manifolds. To appear in Duke Math. J., vol. 42.
7. Floer A. & Zehnder E. Fixed points results for symplectic maps related to the Arnold-Conjecture. Proceedings of workshop in Dynamical Systems & Bifurcations, Groningen 16–19. 04 1984.
8. Helgason S. Differential Geometry, Lie groups and Symmetric Spaces. New York, 1978: Academic Press.
9. Hirsch M. W., Pugh C. C. & Shub M. Invariant Manifolds. Lecture Notes in Math. 583, Berlin-Heidelberg-New York 1977: Springer.
10. Spanier E. Algebraic Topology. New York 1966: McGraw Hill.