Two-system of a Hamiltonian system

Details Two-system of a Hamiltonian system Two-system of a Hamiltonian system

2004-10-09

arxiv.org/abs/math/0410237v1

Mathematics

Dynamical Systems

9 pp., part I of preprint Keldysh Inst. Appl. Math. (Moscow), 2004

Scientific paper

For a Hamiltonian system in R^{2n}, its two-system is defined in the phase space R^{2n} x sp(2n,R). In a sense, it is a combination of the original system and its system in variations with feedback. We study the Hamiltonian forms of the two-system and its analogs. In particular, we show a relation between the Poisson-Lie bracket on the (dual space to) Lie algebra sp(2n,R) and the canonical bracket.

Affiliated with

Also associated with

No associations

Rating

Two-system of a Hamiltonian system 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 Two-system of a Hamiltonian system, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two-system of a Hamiltonian system will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-217729