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ÇëÎÊ£¬ÁúÒÔÃ÷Ժʿ³ö°æµÄÊé¼®£¬³ýÁË¡¶index theory  for symplectic paths with applications¡·£¬»¹ÓÐʲôÊ飿¶àл

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cyy__8906: ½ð±Ò+10, ²©Ñ§EPI+1 2013-12-02 21:51:39
Bott formula of the Maslov-type index theory. ÃÀ¹ú ¡¶Pacific J. Math.¡·187¾í 113-149Ò³(1999).
Precise iteration formulae of the Maslov-type index theory and ellipticity of closed characteristics. ÃÀ¹ú¡¶Advances in Math.¡· 154¾í£¬ 76-131Ò³ (2000).
Multiple periodic points of the Poincare map of Lagrangian systems on tori. µÂ¹ú ¡¶Math. Z.¡·233¾í 443-470Ò³ (2000).
Closed characteristics on compact convex hypersurfaces in R2n. ÃÀ¹ú¡¶Annals of Mathematics¡·155 ¾í£¬ 317-368Ò³ (2002).


[1] Multiple solutions of perturbed superquadratic second order Hamiltonian systems. Trans. Amer. Math. Soc. 311 (1989) 749-780.
[2] Maslov-type index, degenerate critical points, and asymptotically linear Hamiltonian systems. Science in China. Series A. 33 (1990) 1409-1419.
[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 characteristics. Advances in Math. 154 (2000) 76-131.
[5] (Joint with Chaofeng Zhu) Closed characteristics on compact convex hypersurfaces in R2n. Annals of Mathematics. 155 (2002). 317-368.
[6] Index Theory for Symplectic Paths with Applications. Progress in Math. 207, Birkh?user. Basel. 2002.
[7] Multiplicity and stability of closed geodesics on Finsler 2-spheres. J. of Euro. Math. Soc. 8 (2006) 341-353.
[8] (Joint with Wei Wang, Xijun Hu) Resonance identity, stability and multiplicity of closed characteristics on compact convex hypersurfaces. Duke Math. J. 139 (2007) 411-462.
[9] (Joint with Huagui Duan) Multiple closed geodesics on 3-spheres. Advances in Math. 221 (2009) 1757-1803.
[10] (Joint with Victor Bangert) The existence of two closed geodesics on every Finsler 2-sphere. Math. Ann. 346 (2010) 335-366.
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cyy__8906

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2Â¥: Originally posted by xinmor at 2013-11-25 19:19:10
Bott formula of the Maslov-type index theory. ÃÀ¹ú ¡¶Pacific J. Math.¡·187¾í 113-149Ò³(1999).
Precise iteration formulae of the Maslov-type index theory and ellipticity of closed characteristics. ÃÀ ...

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3Â¥: Originally posted by cyy__8906 at 2013-11-25 19:38:45
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Index Theory of Symplectic paths with Applications¡·(ÐÁµÀ·µÄÖ¸±êÀíÂÛ¼°ÆäÓ¦ÓÃ)ÓÚ2002ÄêÓÉÈðÊ¿ÖøÃûµÄBirkhauser³ö°æÉç³ö°æ
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