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Volumn 5, Issue 4, 1998, Pages 461-478

Indexing domains of instability for Hamiltonian systems

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EID: 0000850691     PISSN: 10219722     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000300050057     Document Type: Article
Times cited : (31)

References (26)
  • 1
    • 85034302695 scopus 로고    scopus 로고
    • On the index theories of second order Hamiltonian systems
    • Nankai Inst. of Math. Nankai Univ. Preprint. To appear
    • T. AN, LONG, On the index theories of second order Hamiltonian systems, Nankai Inst. of Math. Nankai Univ. Preprint. (1996). To appear in Nonlinear Analysis, T.M.A.
    • (1996) Nonlinear Analysis, T.M.A.
    • Long, T.A.N.1
  • 2
    • 11744268713 scopus 로고
    • A periodic problem in the calculus of variations and deformations of Hamiltonian systems
    • I. A. Lukovskii ed. Inst. Mat. Akad. Nauk. Ukrain. SSR. Kiev
    • V. B. BONDARCHUK, A periodic problem in the calculus of variations and deformations of Hamiltonian systems, Dyna. and Stab, of Mech. Syst. I. A. Lukovskii ed. Inst. Mat. Akad. Nauk. Ukrain. SSR. Kiev, 143-155 (1980). "Seven Papers in Appl. Math." Amer. Math. Transi. (2) 125, 21-31 (1985).
    • (1980) Dyna. and Stab, of Mech. Syst. , pp. 143-155
    • Bondarchuk, V.B.1
  • 3
    • 11744352060 scopus 로고
    • V. B. BONDARCHUK, A periodic problem in the calculus of variations and deformations of Hamiltonian systems, Dyna. and Stab, of Mech. Syst. I. A. Lukovskii ed. Inst. Mat. Akad. Nauk. Ukrain. SSR. Kiev, 143-155 (1980). "Seven Papers in Appl. Math." Amer. Math. Transi. (2) 125, 21-31 (1985).
    • (1985) "Seven Papers in Appl. Math." Amer. Math. Transi. (2) , vol.125 , pp. 21-31
  • 4
    • 84990569659 scopus 로고
    • Morse-type index theory for flows and periodic solutions for Hamiltonian equations
    • C. CONLEY, E. ZEHNDER, Morse-type index theory for flows and periodic solutions for Hamiltonian equations, Comm. Pure Appl. Math 37, 207-253 (1984).
    • (1984) Comm. Pure Appl. Math , vol.37 , pp. 207-253
    • Conley, C.1    Zehnder, E.2
  • 5
    • 85034288235 scopus 로고
    • The iteration formula of the Maslov-type index theory with applications to nonlinear Hamiltonian systems
    • Research Report. Nankai Inst. of Math. (1993). ICTP. Report. No. IC/94/318. (1994)
    • D. DONG, Y. LONG, The iteration formula of the Maslov-type index theory with applications to nonlinear Hamiltonian systems, Research Report. Nankai Inst. of Math. (1993). ICTP. Report. No. IC/94/318. (1994). To appear in Trans. Amer. Math. Soc.
    • (1993) Trans. Amer. Math. Soc.
    • Dong, D.1    Long, Y.2
  • 6
    • 0001329024 scopus 로고
    • On the Morse index in variational calculus
    • J. J. DUISTERMAAT, On the Morse index in variational calculus, Adv. in Math. 21, 173-195 (1976).
    • (1976) Adv. in Math. , vol.21 , pp. 173-195
    • Duistermaat, J.J.1
  • 10
    • 0001630227 scopus 로고
    • Maslov-type index, degenerate critical points, and asymptotically linear Hamiltonian systems
    • Chinese edition
    • Y. LONG, Maslov-type index, degenerate critical points, and asymptotically linear Hamiltonian systems, Science in China (Scientia Sinica). Series A. 7., 673-682 (1990). (Chinese edition), 33, 1409-1419 (1990). (English edition).
    • (1990) Science in China (Scientia Sinica). Series A , vol.7 , pp. 673-682
    • Long, Y.1
  • 11
    • 44949287597 scopus 로고
    • English edition
    • Y. LONG, Maslov-type index, degenerate critical points, and asymptotically linear Hamiltonian systems, Science in China (Scientia Sinica). Series A. 7., 673-682 (1990). (Chinese edition), 33, 1409-1419 (1990). (English edition).
    • (1990) Science in China (Scientia Sinica). Series A , vol.33 , pp. 1409-1419
  • 12
    • 0000513190 scopus 로고
    • The structure of the singular symplectic matrix set
    • Chinese edition
    • Y. LONG, The structure of the singular symplectic matrix set, Science in China (Scientia Sinica). Series A. 5., 457-465 (1991). (Chinese edition), 34, 897-907 (1991). (English edition).
    • (1991) Science in China (Scientia Sinica). Series A , vol.5 , pp. 457-465
    • Long, Y.1
  • 13
    • 0347060944 scopus 로고
    • English edition
    • Y. LONG, The structure of the singular symplectic matrix set, Science in China (Scientia Sinica). Series A. 5., 457-465 (1991). (Chinese edition), 34, 897-907 (1991). (English edition).
    • (1991) Science in China (Scientia Sinica). Series A , vol.34 , pp. 897-907
  • 14
    • 0001043584 scopus 로고
    • Maslov-type index theory and asymptotically linear Hamiltonian systems
    • K. Shiraiwa ed. World Sci.
    • Y. LONG, Maslov-type index theory and asymptotically linear Hamiltonian systems. In Dyna. Syst. and Rel. Topics. K. Shiraiwa ed. World Sci., 333-341 (1991).
    • (1991) Dyna. Syst. and Rel. Topics , pp. 333-341
    • Long, Y.1
  • 20
    • 85034290405 scopus 로고    scopus 로고
    • Nankai Inst. of Math. Nankai Univ. Preprint revised 1997
    • 2n, Nankai Inst. of Math. Nankai Univ. Preprint 1996, revised 1997.
    • (1996) 2n
    • Long, Y.1
  • 21
    • 0002182215 scopus 로고
    • Morse theory for forced oscillations of asymptotically linear Hamiltonian systems
    • S. Albeverio et al. ed., World Sci.
    • Y. LONG, E. ZEHNDER, Morse theory for forced oscillations of asymptotically linear Hamiltonian systems, in Stoc. Proc. Phys. and Geom., S. Albeverio et al. ed., World Sci., 528-563 (1990).
    • (1990) Stoc. Proc. Phys. and Geom. , pp. 528-563
    • Long, Y.1    Zehnder, E.2
  • 24
    • 84990617874 scopus 로고
    • Morse theory for periodic solutions of Hamiltonian systems and the Maslov index
    • D. SALAMON, E. ZEHENDER, Morse theory for periodic solutions of Hamiltonian systems and the Maslov index, Comm. Pure and Appl. Math. 45, 1303-1360 (1992).
    • (1992) Comm. Pure and Appl. Math. , vol.45 , pp. 1303-1360
    • Salamon, D.1    Zehender, E.2
  • 25
    • 0001776080 scopus 로고
    • A new obstruction to embedding Lagrangian tori
    • C. VITERBO, A new obstruction to embedding Lagrangian tori, Invent. Math. 100, 301-320 (1990).
    • (1990) Invent. Math. , vol.100 , pp. 301-320
    • Viterbo, C.1


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