Rotation numbers for Lagrangian systems and Morse theory

• Autorzy: Vieri Benci , Alberto Abbondandolo
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1996
• Tom: 35
• Numer: 1
• Strony: 29-38

Daty

wydano

1996

Twórcy

autor

Vieri Benci

• Instituto di Matematiche Applicate "U. Dini", Pisa, Italy

autor

Alberto Abbondandolo

• Scuola Normale Superiore, Pisa, Italy

Bibliografia

• [1] A. Abbondandolo, A rotation number for invariant measures and Morse theory, (to appear).
• [2] D. V. Anosov, Geodesic flows on closed Riemannian manifolds with negative curvature, Proc. Inst. Steklov 90 (1967), 1-235.
• [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.
• [5] V. Benci and D. Fortunato, Periodic solutions of asymptotically linear dinamical systems, Nonlinear Diff. Eq. and Appl. (to appear).
• [6] R. Bott, On the iteration of closed geodesics and the Sturm intersection theory, Comm. Pure Appl. Math. 9(1956), 176-206.
• [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.
• [9] I. Ekeland, Convexity methods in Hamiltonian mechanics, Berlin Heidelberg New York: Springer-Verlag 1990.
• [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.
• [12] J. L. Mawhin and M. Willem, Critical point theory and Hamiltonian systems, New York: Springer-Verlag 1989.
• [13] M. Vigué-Poirrier and D. Sullivan, The homology theory for the closed geodesic problem, J. Differential Geom. 11(1976), 633-644.