# On the mobility and efficiency of mechanical systems

ESAIM: Control, Optimisation and Calculus of Variations (2007)

- Volume: 13, Issue: 4, page 657-668
- ISSN: 1292-8119

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topWolansky, Gershon. "On the mobility and efficiency of mechanical systems." ESAIM: Control, Optimisation and Calculus of Variations 13.4 (2007): 657-668. <http://eudml.org/doc/250015>.

@article{Wolansky2007,

abstract = { 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.
},

author = {Wolansky, Gershon},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Lagrangian mechanics; efficiency; self-locomotion; optimal driver},

language = {eng},

month = {7},

number = {4},

pages = {657-668},

publisher = {EDP Sciences},

title = {On the mobility and efficiency of mechanical systems},

url = {http://eudml.org/doc/250015},

volume = {13},

year = {2007},

}

TY - JOUR

AU - Wolansky, Gershon

TI - On the mobility and efficiency of mechanical systems

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2007/7//

PB - EDP Sciences

VL - 13

IS - 4

SP - 657

EP - 668

AB - 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.

LA - eng

KW - Lagrangian mechanics; efficiency; self-locomotion; optimal driver

UR - http://eudml.org/doc/250015

ER -

## References

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- L.C. Evans, Weak Convergence Methods for Nonlinear Partial Differential Equations. CEMS 74, American Mathematical Society (1990).
- O. Gat, J.E. Avron and O. Kenneth, Optimal swimming at low reynolds numbers. Phys. Rev. Lett.93 (2004) 18.
- J.C. Oxtoby, Homeomorphic measures in metric spaces. Proc. Amer. Math. Soc.24 (1970) 419–423. Zbl0187.00902
- R.E. Raspe, The Surprising Adventures of Baron Munchusen. Kessinger Publishing (2004).
- R.M. Wald, General Relativity, Appendix C3. The University of Chicago Press (1984).
- J. Wisdom, Swimming in sapcetime: Motion by cyclic changes in body shape. Science299 (2003) 1865–1869.

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