98-574 N. Berglund
On the Reduction of Adiabatic Dynamical Systems near Equilibrium Curves (40K, AMS-LaTeX, 2 ps figs) Aug 26, 98
Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

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.

Files: 98-574.src( desc , 98-574.uu )