منابع مشابه
Conformal Maps, Monodromy Transformations, and Non-reversible Hamiltonian Systems
According to Arnol’d and Sevryuk, a Hamiltonian vector field XH is said to be weakly reversible if φ∗XH = −XH for some germ φ of real analytic transformation with φ(0) = 0, while XH is reversible if additionally φ is an involution, i.e., φ = Id. One also says that α1, . . . , αn are non-resonant, if k · α ≡ k1α1 + · · · + knαn = 0 (3) for all integers kj with k = (k1, . . . , kn) = 0. The main ...
متن کاملMonodromy in Hamiltonian Floer Theory
Schwarz showed that when a closed symplectic manifold (M,ω) is symplectically aspherical (i.e. the symplectic form and the first Chern class vanish on π2(M)) then the spectral invariants, which are initially defined on the universal cover of the Hamiltonian group, descend to the Hamiltonian group Ham(M,ω). In this note we describe less stringent conditions on the Chern class and quantum homolog...
متن کاملFractional Hamiltonian Monodromy from a Gauss-manin Monodromy
Fractional Hamiltonian Monodromy is a generalization of the notion of Hamiltonian Monodromy, recently introduced by N. N. Nekhoroshev, D. A. Sadovskíı and B. I. Zhilinskíı for energy-momentum maps whose image has a particular type of non-isolated singularities. In this paper, we analyze the notion of Fractional Hamiltonian Monodromy in terms of the Gauss-Manin Monodromy of a Riemann surface con...
متن کاملThe monodromy in the Hamiltonian Hopf bifurcation
A simple, straightforward computation is given of the monodromy near an equilibrium point of a Hamiltonian system with two degrees of freedom, which is close to a nondiagonalizable resonance.
متن کاملHamiltonian monodromy via geometric quantization and theta functions
In this paper, Hamiltonian monodromy is addressed from the point of view of geometric quantization, and various differential geometric aspects thereof are dealt with, all related to holonomies of suitable flat connections. In the case of completely integrable Hamiltonian systems with two degrees of freedom, a link is established between monodromy and (2-level) theta functions, by resorting to t...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2001
ISSN: 0022-0396
DOI: 10.1006/jdeq.2000.3852