# Rotation numbers for Lagrangian systems and Morse theory

Vieri Benci; Alberto Abbondandolo

Banach Center Publications (1996)

- Volume: 35, Issue: 1, page 29-38
- ISSN: 0137-6934

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top## How to cite

topBenci, Vieri, and Abbondandolo, Alberto. "Rotation numbers for Lagrangian systems and Morse theory." Banach Center Publications 35.1 (1996): 29-38. <http://eudml.org/doc/251332>.

@article{Benci1996,

author = {Benci, Vieri, Abbondandolo, Alberto},

journal = {Banach Center Publications},

keywords = {rotation numbers; periodic solutions; Lagrangian systems},

language = {eng},

number = {1},

pages = {29-38},

title = {Rotation numbers for Lagrangian systems and Morse theory},

url = {http://eudml.org/doc/251332},

volume = {35},

year = {1996},

}

TY - JOUR

AU - Benci, Vieri

AU - Abbondandolo, Alberto

TI - Rotation numbers for Lagrangian systems and Morse theory

JO - Banach Center Publications

PY - 1996

VL - 35

IS - 1

SP - 29

EP - 38

LA - eng

KW - rotation numbers; periodic solutions; Lagrangian systems

UR - http://eudml.org/doc/251332

ER -

## References

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- [3] V. I. Arnol'd, Characteristic class entering in quantization conditions,Functional Anal. Appl. 1 (1967), 1-14.
- [4] V. Benci, A new approach to Morse-Conley Theory and some applications, Ann. Mat. Pura Appl. (4) 158 (1991), 231-305. Zbl0778.58011
- [5] V. Benci and D. Fortunato, Periodic solutions of asymptotically linear dinamical systems, Nonlinear Diff. Eq. and Appl. (to appear). Zbl0821.34037
- [6] R. Bott, On the iteration of closed geodesics and the Sturm intersection theory, Comm. Pure Appl. Math. 9(1956), 176-206. Zbl0074.17202
- [7] K. C. Chang, Infinite dimensional Morse theory and multiple solutions problems, Boston-Basel: Birkhauser 1993.
- [8] C. Conley and E. Zehnder, Morse-type index theory for flows and periodic solutions for Hamiltonian equations, Comm. Pure Appl. Math. 37 (1984), 207-253. Zbl0559.58019
- [9] I. Ekeland, Convexity methods in Hamiltonian mechanics, Berlin Heidelberg New York: Springer-Verlag 1990. Zbl0707.70003
- [10] I. Ekeland, An index theory for periodic solutions of convex Hamiltonian systems, Proceedings for Symposia in Pure Math. 45, 395-423.
- [11] R. Mañé, Ergodic Theory and Differentiable Dynamics, Berlin Heidelberg New York: Springer-Verlag 1987. Zbl0616.28007
- [12] J. L. Mawhin and M. Willem, Critical point theory and Hamiltonian systems, New York: Springer-Verlag 1989. Zbl0676.58017
- [13] M. Vigué-Poirrier and D. Sullivan, The homology theory for the closed geodesic problem, J. Differential Geom. 11(1976), 633-644. Zbl0361.53058

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