 11170 Heinz Hanßmann, Carles Simó
 Dynamical stability of quasiperiodic response solutions
in planar conservative systems
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Nov 10, 11

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Abstract. We study nonautonomous planar Hamiltonian
or reversible vector fields that vanish at the origin.
The timedependence is quasiperiodic with strongly
nonresonant frequencies. First we give a simple criterion
in terms of the averaged system for the trivial solution
to be dynamically stable. Then we obtain destabilizations
for classes of examples where the conditions of the
criterion are not satisfied. We end with possible ways
to stabilize an unstable trivial solution by means of
vector fields with zero average.
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