Integrable quadratic Hamiltonians with a linear Lie-Poisson bracket

Statistics – Computation

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

1

Hamiltonian Systems, Integrability, Computer Algebra

Scientific paper

Quadratic Hamiltonians with a linear Lie-Poisson bracket have a number of applications in mechanics. For example, the Lie-Poisson bracket e(3) includes the Euler-Poinsot model describing motion of a rigid body around a fixed point under gravity and the Kirchhoff model describes the motion of a rigid body in ideal fluid. Among the applications with a Lie-Poisson bracket so(4) and so(3, 1) is the description of free rigid body motion in a space of constant curvature. Advances in computer algebra algorithms, in implementations and hardware, together allow the computation of Hamiltonians with higher degree first integrals providing new results in the classic search for integrable models. A computer algebra module enabling related computations in a 3-dimensional vector formalism is described.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Integrable quadratic Hamiltonians with a linear Lie-Poisson bracket 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 Integrable quadratic Hamiltonians with a linear Lie-Poisson bracket, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Integrable quadratic Hamiltonians with a linear Lie-Poisson bracket will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-1060978

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.