52 citations · 372 across the 36 of their papers we have counts for
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math.OC2009★ 42 cited
Discrete Hamilton-Jacobi Theory
Tomoki Ohsawa, Anthony M. Bloch, Melvin Leok
We develop a discrete analogue of Hamilton-Jacobi theory in the framework of discrete Hamiltonian mechanics. The resulting discrete Hamilton-Jacobi equation is discrete only in tim…
math-ph2009★ 26 cited
Nonholonomic Hamilton-Jacobi equation and Integrability
Tomoki Ohsawa, Anthony M. Bloch
We discuss an extension of the Hamilton-Jacobi theory to nonholonomic mechanics with a particular interest in its application to exactly integrating the equations of motion. We giv…