Inflation of Hamiltonian System: The Spinning Top in Projective Space

Details Inflation of Hamiltonian System: The Spinning Top in Projective Space Inflation of Hamiltonian System: The Spinning Top in Projective Space

1996-04-26

arxiv.org/abs/chao-dyn/9604015v1

Nonlinear Sciences

Chaotic Dynamics

6 pages, LaTex

Scientific paper

We present a method to enlarge the phase space of a canonical Hamiltonian System in order to remove coordinate singularities arising from a nontrivial topology of the configuration space. This ``inflation'' preserves the canonical structure of the system and generates new constants of motion that realize the constraints. As a first illustrative example the spherical pendulum is inflated by embedding the sphere $S^2$ in the three dimensional Euclidean space. The main application which motivated this work is the derivation of a canonical singularity free Hamiltonian for the general spinning top. The configuration space $SO(3)$ is diffeomorphic to the real projective space $\RP^3$ which is embedded in four dimensions using homogenous coordinates. The procedure can be generalized to $SO(n)$.

Affiliated with

Also associated with

No associations

Rating

Inflation of Hamiltonian System: The Spinning Top in Projective Space 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 Inflation of Hamiltonian System: The Spinning Top in Projective Space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Inflation of Hamiltonian System: The Spinning Top in Projective Space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-485315