Monodromy in the champagne bottle

Larry Bates1
1Dept. of Mathematics, University of Calgary, Calgary, Canada

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Tài liệu tham khảo

D. Babbitt and V. Varadarajan,Local moduli for meromorphic differential equations. Sté. Math. France, Paris 1989.

L. Bates,Examples for obstructions to action-angle coordinates. Proc. Roy. Soc. Edinburgh,110, 27?30 (1988).

L. Bates and M. Zou,Degeneration and collapse of monodromy cycles (in preparation).

R. Cushman,Geometry of the energy-momentum mapping of the spherical pendulum. Centrum voor Wiskunde en Informatica Newsletter,1, 4?18 (1983).

R. Cushman and H. Knörrer,The Energy Momentum Mapping of the Lagrange Top. Lecture Notes in Math, Vol. 1139, pp. 12?24. Springer-Verlag, New York 1985.

J. J. Duistermaat,On global action-angle coordinates. Comm. Pure & appl. Math.,33, 687?706 (1980).

O. Forster,Lectures on Riemann Surfaces. Springer-Verlag, New York 1981.

E. Horozov,Perturbations of the spherical pendulum and Abelian integrals. J. reine. angew. Math.,408, 114?135 (1990).

W. Poor,Differential Geometric Structures. McGraw-Hill, New York 1981.

J. C. van der Meer,The Hamiltonian Hopf bifurcation, Lect. Notes in Maths., Vol. 1160. Springer-Verlag, New York 1985.

A. Weinstein,Symplectic manifolds and their Lagrangian submanifolds. Adv. in Maths.,16, 329?346 (1971).