 98574 N. Berglund
 On the Reduction of Adiabatic Dynamical Systems
near Equilibrium Curves
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Aug 26, 98

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Abstract. We consider adiabatic differential equations of the form
e dx/dt = f(x,t), where e is a small parameter. A few results on the
behaviour of solutions close to an equilibrium curve of f are reviewed,
including existence of tracking solutions, dynamic diagonalization and
linearization, and invariant manifolds. We then point out some interesting
connections between the effect of bifurcations, eigenvalues crossings and
resonances.
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