01-134 V. Gelfreich, L. Lerman

Almost invariant elliptic manifolds in a singularly perturbed Hamiltonian system (34K, LaTeX 2e) Apr 4, 01

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Abstract. We consider a singularly perturbed Hamiltonian system, which loses one degree of freedom at $\eps=0$. Assume the slow manifold to be normally elliptic. In the case of an analytic Hamilton function it is shown that the slow manifold persists up to an exponentially small error term.

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