WebThen the Bott-type iteration formula of the Maslov-type indices for iterated paths in Sp (2n, C) is proved, and the mean index for any path in Sp (2n, C) is defined. Also, the … WebBased on the!-index theory and the idea of R. Bott in [Bo], in Section 5 we are able to establish the following Bott-type formulae of the Maslov-type index theory for iterations of any path in P ...
The index quasi-periodicity and multiplicity of closed geodesics
WebBOTT FORMULA OF THE MASLOV-TYPE INDEX THEORY 117 2. The!-index theory. In this section, we de ne the!-index theory as a generalization of the Maslov-type index … WebLong, Y. Bott formula of the Maslov-type index theory, Preprint series of Nankai Inst of Math., No. 1996-M-001, (Revised in 1997). Ekeland, I., Convexity Methods in Hamiltonian Mechanics, Berlin: Springer-Verlag, 1990. Google Scholar Download references Author information Authors and Affiliations bubice novi sad
Non-hyperbolic closed characteristics on non-degenerate star …
WebA Maslov-type index theory and asymptotically linear Hamiltonian systems. Dynamical Sys-tems and Related Topics. K. Shiraiwa ed. World Scientific. (Singapo) 333-341.(1991). 14. An unbounded solution of a superlinear Duffing’s equation. ... Bott formula of the Maslov-type index theory. Pacific J. Math. 187 (1999), 113-149. 39. (Joint with C ... WebFor a Hamiltonian system, in which the Hamiltonian is assumed to have an asymptotically linear gradient, the existence of nontrivial periodic solutions is proved under the assumption that the linearized operators have distinct Maslov indices at 0 and at infinity. Both the linearized operators may be degenerate. In particular, the results cover the “strong … WebJan 28, 1999 · Based on this index theory, the Bott formula of the Maslov-type index theory for iterated paths in Sp (2n) is estalished, the mean index for periodic solutions of Hamiltonian systems is... bubica shop zabalj