On the mobility and efficiency of mechanical systems
Department of mathematics, Haifa
32000, Israel; firstname.lastname@example.org
It is shown that self-locomotion is possible for a body in Euclidian space, provided its dynamics corresponds to a non-quadratic Hamiltonian, and that the body contains at least 3 particles. The efficiency of the driver of such a system is defined. The existence of an optimal (most efficient) driver is proved.
Mathematics Subject Classification: 37J50 / 37K25 / 70H33
Key words: Lagrangian mechanics / efficiency / self-locomotion
© EDP Sciences, SMAI, 2007