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  • 1
    Electronic Resource
    Electronic Resource
    The annular twist mapping of the restricted three-body problem (1997)
    Springer
    Journal of dynamics and differential equations 9 (1997), S. 249-268 
    Details
    ISSN: 1572-9222
    Keywords: Twist map ; restricted three-body problem ; rotating Kepler problem ; symplectic reduction
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This paper presents a new derivation of the twist mapping in the planar restricted problem. It differs from other treatments in the use of a novel canonical transformation which allows for the utilization of symplectic reduction techniques.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02219222
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  • 2
    Electronic Resource
    Electronic Resource
    Monodromy and nonintegrability in complex Hamiltonian systems (1990)
    Springer
    Journal of dynamics and differential equations 2 (1990), S. 451-481 
    Details
    ISSN: 1572-9222
    Keywords: (complex) Hamiltonian system ; (complex) symplectic manifold ; (non-)integrability ; two degrees of freedom ; reduction ; monodromy representation ; (normal) variational equation ; Ziglin theory ; 58F05 ; 58F07 ; 53C05
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This paper investigates the monodromy representation of the normal variational equation along a phase curve of a two-dimensional complex analytic Hamiltonian system. Geometrical conditions are presented which guarantee reducibility, together with additional hypotheses to ensure complete reducibility. Symmetries in the equations are treated in detail. Applications to establishing the nonintegrability of specific systems are presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01054043
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