International Journal of Mathematics and Mathematical Sciences
Volume 31 (2002), Issue 9, Pages 555-565

Generalized Hamiltonian biodynamics and topology invariants of humanoid robots

Vladimir Ivancevic

Human Factors, Land Operation Division, Defence Science and Technology Organization, P.O. Box 1500, Edinburgh 5111, SA, Australia

Received 28 March 2001; Revised 9 January 2002

Copyright © 2002 Vladimir Ivancevic. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Humanoid robots are anthropomorphic mechanisms with biodynamics that resembles human musculo-skeletal dynamics. This paper proposes a new generalized (dissipative, muscle-driven, stochastic) Hamiltonian model of humanoid biodynamics. Also, (co)homological analysis is performed on its Lie-group based configuration and momentum phase-space manifolds.