Mathematics – Dynamical Systems
Scientific paper
2006-10-04
Mathematics
Dynamical Systems
19 pages, no figures
Scientific paper
We consider an autonomous differential system in $\mathbb{R}^n$ with a periodic orbit and we give a new method for computing the characteristic multipliers associated to it. Our method works when the periodic orbit is given by the transversal intersection of $n-1$ codimension one hypersurfaces and is an alternative to the use of the first order variational equations. We apply it to study the stability of the periodic orbits in several examples, including a periodic solution found by Steklov studying the rigid body dynamics.
Gasull Armengol
Giacomini Hector
Grau Maite
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