Bott formula of the maslov-type index theory
WebIn this paper, various precise iteration equalities and inequalities of Morse indices for the closed geodesics are established. As applications of these formulae, multiplicity results of closed geodesics on some Riemannian manifolds are proved. Download to read the full article text References WebSep 1, 2000 · Maslov-type index theory for symplectic paths and spectral flow, II. New aspects in the theory of stability of Hamiltonian systems. Morse theory for periodic …
Bott formula of the maslov-type index theory
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WebDec 31, 1998 · 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 … WebIn this paper, the iteration formula of the Maslov-type index theory for linear Hamil-tonian systems with continuous periodic and symmetric coefficients is established. This formula …
Web[3] Bott formula of the Maslov-type index theory. Pacific J. Math. 187 (1999), 113-149; [4] Precise iteration formulae of the Maslov-type index theory and ellipticity of closed... WebAug 9, 2010 · In this paper, we prove the existence of at least two distinct closed geodesics on every compact simply connected irreversible or reversible Finsler (including Riemannian) manifold of dimension not...
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 … WebBott formula of the Maslov-type index theory for iterated paths in Sp(2n) is estalished, the mean index for periodic so-lutions of Hamiltonian systems is defined, and the increasing estimate of the iterated Maslov-type index in terms of the mean index is proved. 1. Introduction and main results.
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 …
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 thirsty crafterWebNov 1, 2015 · Bott formula of the Maslov-type index theory Y. Long Mathematics 1999 In this paper the integer valued !-index theory parameterized by all ! on the unit circle for … thirsty creek road gogangoWebA 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 ... thirsty crab brewery clinton waWebLong, 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 … thirsty crab clintonWebBased 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 … thirsty cream skin hydration moisturizerhttp://en.cim.nankai.edu.cn/About_CIM/Faculty/Long_Yiming.htm thirsty crafter funnehWebNov 15, 2016 · Long, Y.: Bott formula of the Maslov-type index theory. Pacific J. Math., 187, 113–149 (1999) Article MathSciNet MATH Google Scholar Long, Y.: Precise iteration formulae of the Maslov-type index theory and ellipticity of closed characteristics. Adv. Math., 154, 76–131 (2000) Article MathSciNet MATH Google Scholar thirsty crab clinton wa