Quadratic choreographies

Details Quadratic choreographies Quadratic choreographies

2011-06-27

arxiv.org/abs/1106.5351v1

Mathematics

Optimization and Control

10 figures 10th IMACS International Symposium on Iterative Methods in Scientific Computing

Scientific paper

This paper addresses the classical and discrete Euler-Lagrange equations for systems of $n$ particles interacting quadratically in $\mathbb{R}^d$. By highlighting the role played by the center of mass of the particles, we solve the previous systems via the classical quadratic eigenvalue problem (QEP) and its discrete transcendental generalization. The roots of classical and discrete QEP being given, we state some conditional convergence results. Next, we focus especially on periodic and choreographic solutions and we provide some numerical experiments which confirm the convergence.

Affiliated with

Also associated with

No associations

Rating

Quadratic choreographies 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 Quadratic choreographies, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quadratic choreographies will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-638264