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Volumn 22, Issue 1, 2006, Pages 77-86

An improved result for positive measure reducibility of quasi-periodic linear systems

Author keywords

KAM; Non degeneracy; Quasi periodic; Reducibility

Indexed keywords


EID: 29144517649     PISSN: 14398516     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10114-004-0473-5     Document Type: Article
Times cited : (5)

References (14)
  • 1
    • 0000423029 scopus 로고
    • The rotation number for almost periodic potentials
    • Johnson, R. A., Moser, J.: The rotation number for almost periodic potentials. Commun. Math. Phys., 84, 403-438 (1982)
    • (1982) Commun. Math. Phys. , vol.84 , pp. 403-438
    • Johnson, R.A.1    Moser, J.2
  • 2
    • 84971155351 scopus 로고
    • Pseudo-autonomous linear equation
    • Coppel, W. A.: Pseudo-autonomous linear equation. Bull. Austral. Math. Soc., 16, 61-65 (1977)
    • (1977) Bull. Austral. Math. Soc. , vol.16 , pp. 61-65
    • Coppel, W.A.1
  • 3
    • 0000688206 scopus 로고
    • Smoothness of spectral subbundles and reducibility of quasi-periodic linear differential systems
    • Johnson, R. A., Sell, G. R.: Smoothness of spectral subbundles and reducibility of quasi-periodic linear differential systems. J. Diff. Eqn., 41, 262-288 (1981)
    • (1981) J. Diff. Eqn. , vol.41 , pp. 262-288
    • Johnson, R.A.1    Sell, G.R.2
  • 4
    • 34250407352 scopus 로고
    • The one dimensional Schrödinger equation with a quasi-periodic potential
    • Dinaburg, E. I., Sinai, Y. G.: The one dimensional Schrödinger equation with a quasi-periodic potential. Funkt. Anal i. Priloz, 9, 8-21 (1975)
    • (1975) Funkt. Anal I. Priloz , vol.9 , pp. 8-21
    • Dinaburg, E.I.1    Sinai, Y.G.2
  • 5
    • 84985440843 scopus 로고
    • On the one dimensional schrödinger equation with a quasi-periodic potential
    • Rüssmann, H.: On the one dimensional schrödinger equation with a quasi-periodic potential. Annals of the New York Acad. Sci., 357, 90-107 (1980)
    • (1980) Annals of the New York Acad. Sci. , vol.357 , pp. 90-107
    • Rüssmann, H.1
  • 6
    • 0000868522 scopus 로고
    • On the reducibility of linear differntial equations with quasi-periodic coefficients
    • Jorba, A., Simó, C.: On the reducibility of linear differntial equations with quasi-periodic coefficients. J. Diff. Eq., 98, 111-124 (1992)
    • (1992) J. Diff. Eq. , vol.98 , pp. 111-124
    • Jorba, A.1    Simó, C.2
  • 7
    • 0040038133 scopus 로고    scopus 로고
    • On the reducibility of a class of linear differential equations with quasi-periodic coefficients
    • Xu, J.: On the reducibility of a class of linear differential equations with quasi-periodic coefficients. Mathematik, 46(92), 443-451, 1999
    • (1999) Mathematik , vol.46 , Issue.92 , pp. 443-451
    • Xu, J.1
  • 8
    • 0001401431 scopus 로고
    • Floquet solutions for the one-dimensional quasi-periodic Schrödinger equation
    • Eliasson, L. H.: Floquet solutions for the one-dimensional quasi-periodic Schrödinger equation. Commun. Math. Phys., 146, 447-482 (1992)
    • (1992) Commun. Math. Phys. , vol.146 , pp. 447-482
    • Eliasson, L.H.1
  • 9
    • 9444266308 scopus 로고    scopus 로고
    • Réductibilité des systems produits-croisés à valeurs dans des groupes compacts
    • Krikorian, R.: Réductibilité des systems produits-croisés à valeurs dans des groupes compacts. Astérisque, 259 (1999)
    • (1999) Astérisque , vol.259
    • Krikorian, R.1
  • 12
    • 0032021298 scopus 로고    scopus 로고
    • A KAM theorem for hyperbolic-type degenerate lower dimensional tori in Hamiltonian systems
    • You, J.: A KAM Theorem for Hyperbolic-type Degenerate Lower Dimensional Tori in Hamiltonian Systems. Comm. Math. Phys., 192, 145-168 (1998)
    • (1998) Comm. Math. Phys. , vol.192 , pp. 145-168
    • You, J.1
  • 13
  • 14
    • 0033540589 scopus 로고    scopus 로고
    • Perturbations of lower dimensional tori for Hamiltonian systems
    • You, J.: Perturbations of Lower Dimensional Tori for Hamiltonian Systems. J. Diff. Eq., 152, 1-29 (1999)
    • (1999) J. Diff. Eq. , vol.152 , pp. 1-29
    • You, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.