Mathematics – Dynamical Systems
Scientific paper
2007-01-05
Mathematics
Dynamical Systems
Scientific paper
The validity of Sundman-type asymptotic estimates for collision solutions is established for a wide class of dynamical systems with singular forces, including the classical $N$--body problems with Newtonian, quasi--homogeneous and logarithmic potentials. The solutions are meant in the generalized sense of Morse (locally --in space and time-- minimal trajectories with respect to compactly supported variations) and their uniform limits. The analysis includes the extension of the Von Zeipel's Theorem and the proof of isolatedness of collisions. Furthermore, such asymptotic analysis is applied to prove the absence of collisions for locally minimal trajectories.
Barutello Vivina
Ferrario Davide L.
Terracini Susanna
No associations
LandOfFree
On the singularities of generalized solutions to $n$--body type problems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On the singularities of generalized solutions to $n$--body type problems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the singularities of generalized solutions to $n$--body type problems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-16464