Symplectic integrators for index one constraints

Abstract

We show that symplectic Runge-Kutta methods provide effective symplectic integrators for Hamiltonian systems with index one constraints. These include the Hamiltonian description of variational problems subject to position and velocity constraints nondegenerate in the velocities, such as those arising in sub-Riemannian geometry and control theory.

13 pages, accepted in SIAM J Sci Comput

References in corpus (2)

• Geometric Generalisations of SHAKE and RATTLE
• Integrability of Nonholonomically Coupled Oscillators

Cited by in corpus (2)

• Geometric Generalisations of SHAKE and RATTLE
• Symplectic integrators for spin systems