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Volumn 16, Issue 6, 1999, Pages 725-746

Hyperbolic characteristics on star-shaped hypersurfaces

Author keywords

Hamiltonian systems; Hyperbolic closed characteristics; Iterations; Maslov type mean index; Star shaped energy hypersurface

Indexed keywords


EID: 0002278962     PISSN: 02941449     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0294-1449(00)88185-8     Document Type: Article
Times cited : (15)

References (31)
  • 1
    • 0001341245 scopus 로고
    • Forced vibrations of superquadratic Hamiltonian systems
    • A. BAHRI and H. BERESTYCKI, Forced vibrations of superquadratic Hamiltonian systems, Acta Mathematica, Vol. 152, 1984, pp. 143-197.
    • (1984) Acta Mathematica , vol.152 , pp. 143-197
    • Bahri, A.1    Berestycki, H.2
  • 2
    • 84990595395 scopus 로고
    • Existence of multiple periodic orbits on starshaped Hamiltonian systems
    • H. BERESTYCKI, J. M. LASRY, G. MANCINI and B. ROF, Existence of multiple periodic orbits on starshaped Hamiltonian systems, Comm. pure Appl. Math., Vol. 38, 1985, pp. 253-289.
    • (1985) Comm. Pure Appl. Math. , vol.38 , pp. 253-289
    • Berestycki, H.1    Lasry, J.M.2    Mancini, G.3    Rof, B.4
  • 3
    • 84935629326 scopus 로고
    • Espaces de krein et index des systèmes hamiltoniens
    • V. BROUSSEAU, Espaces de Krein et index des systèmes hamiltoniens, Ann. Inst. H. Poincaré, Anal. non linéaire, Vol. 7, 1990, pp. 525-560.
    • (1990) Ann. Inst. H. Poincaré, Anal. Non Linéaire , vol.7 , pp. 525-560
    • Brousseau, V.1
  • 5
    • 84990569659 scopus 로고
    • Maslov-type index theory for flows and periodic solutions for Hamiltonian equations
    • C. CONLEY and E. ZEHNDER, Maslov-type index theory for flows and periodic solutions for Hamiltonian equations, Commun. Pure Appl. Math., Vol. 37, 1984, pp. 207-253.
    • (1984) Commun. Pure Appl. Math. , vol.37 , pp. 207-253
    • Conley, C.1    Zehnder, E.2
  • 7
    • 0000741077 scopus 로고
    • Les systém hamiltoniens convexes et pairs ne sont pas ergodiques en general
    • Series I
    • G. DELL'ANTONIO, B. D'ONOFRIO and I. EKELAND, Les systém hamiltoniens convexes et pairs ne sont pas ergodiques en general, C. R. Acad. Sci. Paris, t. 315, Series I, 1992, pp. 1413-1415.
    • (1992) C. R. Acad. Sci. Paris , vol.315 , pp. 1413-1415
    • Dell'antonio, G.1    D'Onofrio, B.2    Ekeland, I.3
  • 8
    • 33646876246 scopus 로고    scopus 로고
    • The iteration formula of the Maslov-type index theory with applications to nonlinear Hamiltonian systems
    • D. DONG and Y. LONG, The Iteration Formula of the Maslov-type Index Theory with Applications to Nonlinear Hamiltonian Systems, Trans. Amer. Math. Soc., Vol. 349, 1997, pp. 2619-2661.
    • (1997) Trans. Amer. Math. Soc. , vol.349 , pp. 2619-2661
    • Dong, D.1    Long, Y.2
  • 9
    • 0000527973 scopus 로고
    • Convex Hamiltonian energy surfaces and their closed trajectories
    • I. EKELAND and H. HOFER, Convex Hamiltonian energy surfaces and their closed trajectories, Comm. Math. Physics, Vol. 113, 1987, pp. 419-467.
    • (1987) Comm. Math. Physics , vol.113 , pp. 419-467
    • Ekeland, I.1    Hofer, H.2
  • 12
    • 84973997975 scopus 로고
    • Une thórie de morse pour les systems hamiltoniens convexes
    • I. EKELAND, Une thórie de Morse pour les systems hamiltoniens convexes, Ann. Inst. Henri poincaté. Anal. Non Linéair, Vol. 1, 1984, pp. 19-78.
    • (1984) Ann. Inst. Henri Poincaté. Anal. Non Linéair , vol.1 , pp. 19-78
    • Ekeland, I.1
  • 13
    • 85030073001 scopus 로고    scopus 로고
    • Periodic solutions of asymptotically linear Hamiltonian systems
    • Preprint, To appear
    • G. FEI and Q. QIU, Periodic solutions of asymptotically linear Hamiltonian systems, Preprint, 1996, Chinese Ann. of Math. (To appear).
    • (1996) Chinese Ann. of Math.
    • Fei, G.1    Qiu, Q.2
  • 14
    • 0002512686 scopus 로고
    • Location, multiplicity and Morse indices of minimax critical points
    • N. GHOUSSOUB, Location, multiplicity and Morse indices of minimax critical points, J. Reine Angew Math., Vol. 417, 1991, pp. 27-76.
    • (1991) J. Reine Angew Math. , vol.417 , pp. 27-76
    • Ghoussoub, N.1
  • 15
    • 84999183426 scopus 로고    scopus 로고
    • Monotonicity of the Maslov-type index and the ω-index theory
    • to appear
    • C. LIU, Monotonicity of the Maslov-type index and the ω-index theory, Acta of Nankai University (Chinese). to appear.
    • Acta of Nankai University (Chinese)
    • Liu, C.1
  • 16
    • 0001745414 scopus 로고    scopus 로고
    • An optimal increasing estimate of the Maslov-type indices for iterations
    • Chinese edition
    • C. LIU and Y. LONG, An optimal increasing estimate of the Maslov-type indices for iterations, Chinese Sci. Bull, Vol. 42, 1997, pp. 2275-2277 (Chinese edition), Vol. 43, 1998, pp. 1063-1066 (English edition).
    • (1997) Chinese Sci. Bull , vol.42 , pp. 2275-2277
    • Liu, C.1    Long, Y.2
  • 17
    • 0000961315 scopus 로고    scopus 로고
    • English edition
    • C. LIU and Y. LONG, An optimal increasing estimate of the Maslov-type indices for iterations, Chinese Sci. Bull, Vol. 42, 1997, pp. 2275-2277 (Chinese edition), Vol. 43, 1998, pp. 1063-1066 (English edition).
    • (1998) Chinese Sci. Bull , vol.43 , pp. 1063-1066
  • 18
    • 0001630228 scopus 로고
    • Maslov-type index, degenerate critical points, and asymptotically linear Hamiltonian systems
    • Series A.33
    • Y. LONG, Maslov-type index, degenerate critical points, and asymptotically linear Hamiltonian systems, Science in China (Scientia Sinica), Vol. Series A.33, 1990, pp. 1409-1419.
    • (1990) Science in China (Scientia Sinica) , pp. 1409-1419
    • Long, Y.1
  • 21
    • 0001496478 scopus 로고    scopus 로고
    • Bott formula of the Maslov-type index theory
    • Nankai Inst. of Math. Nankai Univ. Preprint, 1995, Revised 1996, 1997
    • Y. LONG, Bott formula of the Maslov-type index theory, Nankai Inst. of Math. Nankai Univ. Preprint, 1995, Revised 1996, 1997, Pacific J. Math., Vol. 187, 1999, pp. 113-149.
    • (1999) Pacific J. Math. , vol.187 , pp. 113-149
    • Long, Y.1
  • 22
    • 0000041206 scopus 로고    scopus 로고
    • 2n
    • Nankai Inst. of Math. Preprint, 1996, Revised 1997
    • 2n, Nankai Inst. of Math. Preprint, 1996, Revised 1997, J. Diff. Equa., Vol. 150, 1998, pp. 227-249.
    • (1998) J. Diff. Equa. , vol.150 , pp. 227-249
    • Long, Y.1
  • 23
    • 0003166967 scopus 로고    scopus 로고
    • A Maslov-type index theory for symplectic paths
    • Y. LONG, A Maslov-type index theory for symplectic paths, Top. Meth. Nonl. Anal., Vol. 10, 1997, pp. 47-78.
    • (1997) Top. Meth. Nonl. Anal. , vol.10 , pp. 47-78
    • Long, Y.1
  • 24
    • 0002182215 scopus 로고
    • Morse theory for forced oscillations of asymptotically linear Hamiltonian systems
    • S. Albeverio et al. ed. World Sci.
    • Y. LONG and E. ZEHNDER, Morse theory for forced oscillations of asymptotically linear Hamiltonian systems, Stoc. Proc. Phys. and Geom., S. Albeverio et al. ed. World Sci., 1990, pp. 528-563.
    • (1990) Stoc. Proc. Phys. and Geom. , pp. 528-563
    • Long, Y.1    Zehnder, E.2
  • 25
    • 84980196930 scopus 로고
    • Periodic solutions of Hamiltonian systems
    • P. H. RABINOWITZ, Periodic solutions of Hamiltonian systems, Comm. Pure Appl. Math., Vol. 31, 1978, pp. 157-184.
    • (1978) Comm. Pure Appl. Math. , vol.31 , pp. 157-184
    • Rabinowitz, P.H.1
  • 26
    • 0001901435 scopus 로고
    • Minimax methods in critical point theory with applications to differential equations
    • P. H. RABINOWITZ, Minimax methods in critical point theory with applications to differential equations, CBMS Regional Conf. Ser. in Math. Amer. Math. Soc., Vol. 65, 1986.
    • (1986) CBMS Regional Conf. Ser. in Math. Amer. Math. Soc. , vol.65
    • Rabinowitz, P.H.1
  • 28
    • 0002372214 scopus 로고
    • Equivariant morse theory for starshaped Hamiltonian systems
    • C. VITERBO, Equivariant Morse theory for starshaped Hamiltonian systems, Trans. Amer. Math. Soc., Vol. 311, 1989, pp. 621-655.
    • (1989) Trans. Amer. Math. Soc. , vol.311 , pp. 621-655
    • Viterbo, C.1
  • 30
    • 0001049446 scopus 로고
    • On the hypotheses of rabinowitz' periodic orbit theorems
    • A. WEINSTEIN, On the Hypotheses of Rabinowitz' Periodic Orbit Theorems, J. Diff. Equa., Vol. 33, 1979, pp. 353-358.
    • (1979) J. Diff. Equa. , vol.33 , pp. 353-358
    • Weinstein, A.1
  • 31
    • 84968521825 scopus 로고
    • Periods of periodic solutions and the Lipschitz contant
    • J. A. YORKE, periods of periodic solutions and the Lipschitz contant, Proc. Amer. Math. Soc., Vol. 22, 1969, pp. 509-512.
    • (1969) Proc. Amer. Math. Soc. , vol.22 , pp. 509-512
    • Yorke, J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.