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By A. Jaffe (Chief Editor)

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J. Fluid. Mech. 162, 365–388 (1986) 23. T. : Tracking invariant manifolds with differential forms in singularly perturbed systems. J. Diff. Eqs. 108, 64–88 (1994) 24. : Tracking invariant manifolds up to exponentially small errors SIAM J. Math. Anal. (to appear) (1995) 25. Kambe, T. : Nonlinear dynamics of two-mode interactions in parametric excitation of surface waves. J. Fluid. Mech. 212, 373–393 (1990) 26. J. : Multiple-pulse homoclinic orbits near resonance bands. Preprint (1993) 27. Kovaˇciˇc, G.

Towards a topological classification of integrable PDE’s. In The Geometry of Hamiltonian Systems, New York: Springer-Verlag, 1991 10. C. : Global bifurcations in the motion of parametrically excited thin plates Nonlinear Dynamics 4, 398–408 (1993) 11. C. : On the existence of chaos in a class of two-degree-of-freedom, damped, strongly parametrically forced mechanical systems with broken O(2) symmetry. ZAMP 44, 201–248 (1993) 12. C. and Leal: Symmetries in the amplitude equations of an inextensional beam with internal resonance.

The moment map equation associated to is FA ∧ ω n−1 ωn = µE IE , (n − 1)! n! which is equivalent to the Hermitian Einstein equation (a semi-linear system of partial differential equations) FA = µE IE . Nevertheless, the moment map equation for k is a fully non-linear system of equations (of Monge-Ampere type) which are closely related to stability of E as will be explained in Sect. 4. Then we explain how to remove the assumption of integrality of ω in Sect. 5. Moreover, all A’s will be canonically embedded inside a larger space A˜ [E] , the space of generalized connections.

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Communications in Mathematical Physics - Volume 193 by A. Jaffe (Chief Editor)


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