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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