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Volumn 18, Issue 1, 2005, Pages 423-440

Localized control for non-resonant Hamiltonian systems

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EID: 11844294894     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/18/1/021     Document Type: Article
Times cited : (16)

References (16)
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    • 0041728884 scopus 로고    scopus 로고
    • Resource letter: CC-1: Controlling chaos
    • Gauthier D J 2003 Resource letter: CC-1: controlling chaos Am. J. Phys. 71 750
    • (2003) Am. J. Phys. , vol.71 , pp. 750
    • Gauthier, D.J.1
  • 5
    • 3042563335 scopus 로고    scopus 로고
    • Perturbation theory and control in classical or quantum mechanics by an inversion formula
    • Preprint math-ph/0303051
    • Vittot M 2004 Perturbation theory and control in classical or quantum mechanics by an inversion formula J. Phys. A: Math. Gen. 37 6337 (Preprint math-ph/0303051)
    • (2004) J. Phys. A: Math. Gen. , vol.37 , pp. 6337
    • Vittot, M.1
  • 6
    • 84908024292 scopus 로고
    • An exponential estimate of the time of stability of nearly-integrable Hamiltonian systems
    • Nekhoroshev N N 1977 An exponential estimate of the time of stability of nearly-integrable Hamiltonian systems Russ. Math. Surv. 32 1
    • (1977) Russ. Math. Surv. , vol.32 , pp. 1
    • Nekhoroshev, N.N.1
  • 8
    • 51649160049 scopus 로고
    • A proof of Kolmogorov's theorem on invariant tori using canonical transformations defined by the Lie method
    • Benettin G, Galgani L, Giorgilli A and Strelcyn J M 1984 A proof of Kolmogorov's theorem on invariant tori using canonical transformations defined by the Lie method Nuovo Cimenta B 79 201
    • (1984) Nuovo Cimenta B , vol.79 , pp. 201
    • Benettin, G.1    Galgani, L.2    Giorgilli, A.3    Strelcyn, J.M.4
  • 9
    • 0036257895 scopus 로고    scopus 로고
    • Renormalization-group analysis for the transition to chaos in Hamiltonian systems
    • Chandre C and Jauslin H R 2002 Renormalization-group analysis for the transition to chaos in Hamiltonian systems Phys. Rep. 365 1
    • (2002) Phys. Rep. , vol.365 , pp. 1
    • Chandre, C.1    Jauslin, H.R.2
  • 14
    • 84968520470 scopus 로고    scopus 로고
    • On the product of semi-groups of operators
    • Trotter H F 1959 On the product of semi-groups of operators Proc. Am. Math. Soc. 10 545 Kato T 1974 On the Trotter-Lie product formula Proc. Japan. Acad. 50 694 Zagrebnov V 2003 Topics in the Theory of Gibbs Semi-groups (Leuven: Leuven University Press)
    • (1959) Proc. Am. Math. Soc. , vol.10 , pp. 545
    • Trotter, H.F.1
  • 15
    • 84968520470 scopus 로고    scopus 로고
    • On the Trotter-Lie product formula
    • Trotter H F 1959 On the product of semi-groups of operators Proc. Am. Math. Soc. 10 545 Kato T 1974 On the Trotter-Lie product formula Proc. Japan. Acad. 50 694 Zagrebnov V 2003 Topics in the Theory of Gibbs Semi-groups (Leuven: Leuven University Press)
    • (1974) Proc. Japan. Acad. , vol.50 , pp. 694
    • Kato, T.1
  • 16
    • 84968520470 scopus 로고    scopus 로고
    • Leuven: Leuven University Press
    • Trotter H F 1959 On the product of semi-groups of operators Proc. Am. Math. Soc. 10 545 Kato T 1974 On the Trotter-Lie product formula Proc. Japan. Acad. 50 694 Zagrebnov V 2003 Topics in the Theory of Gibbs Semi-groups (Leuven: Leuven University Press)
    • (2003) Topics in the Theory of Gibbs Semi-groups
    • Zagrebnov, V.1


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