52 citations · 372 across the 36 of their papers we have counts for
Showing 2011 · math-phShow all
2 papers · 2 filters
math-ph2011★ 26 cited
Hamilton-Jacobi Theory for Degenerate Lagrangian Systems with Holonomic and Nonholonomic Constraints
Melvin Leok, Tomoki Ohsawa, Diana Sosa
We extend Hamilton-Jacobi theory to Lagrange-Dirac (or implicit Lagrangian) systems, a generalized formulation of Lagrangian mechanics that can incorporate degenerate Lagrangians a…
math-ph2011★ 52 cited
Nonholonomic Hamilton-Jacobi Theory via Chaplygin Hamiltonization
Tomoki Ohsawa, Oscar E. Fernandez, Anthony M. Bloch +1
We develop Hamilton-Jacobi theory for Chaplygin systems, a certain class of nonholonomic mechanical systems with symmetries, using a technique called Hamiltonization, which transfo…