1997/10/17 by Reijiro Kubo, Kubo, Reijiro, Waichi Ogura +5 · 1 citation
Computer Science · Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Dynamics and Fractals #Mathematical Physics (math-ph) #Stochastic processes and financial applications #hep-th #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.physics/9710016
22 pages, phyzzx
arxiv created 1997/10/17 · openalex publication_date 1997/10/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Relationship between the Neumann system and the Jacobi system in arbitrary dimensions is elucidated from the point of view of constrained Hamiltonian systems. Dirac brackets for canonical variables of both systems are derived from the constrained Hamiltonians. The geodesic equations corresponding to the Rosochatius system are studied as an application of our method. As a consequence a new class of nonlinear integrable equations is derived along with their conserved quantities.