A new hierarchy of integrable system of dimensions: from Newton's law to generalized Hamiltonian system. II.
Huang, Xuncheng, Tu, Guizhang (2006)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Generalized Hamiltonian biodynamics and topology invariants of humanoid robots.”
A new hierarchy of integrable system of dimensions: from Newton's law to generalized Hamiltonian system. II.
On the Principle of Stationary Isoenergetic Action
Božidar Jovanović (2012)
Publications de l'Institut Mathématique
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Brain-like functor control machine for general humanoid biodynamics.
Ivancevic, Vladimir, Beagley, Nicholas (2005)
International Journal of Mathematics and Mathematical Sciences
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An infinite level atom coupled to a heat bath.
Koenenberg, M. (2011)
Documenta Mathematica
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Integrable Hamiltonian systems on Lie groups: Kowalewski type.
Jurdjevic, V. (1999)
Annals of Mathematics. Second Series
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A finite-dimensional integrable system associated with a polynomial eigenvalue problem.
Xu, Taixi, Mu, Weihua, Qiao, Zhijun (2006)
International Journal of Mathematics and Mathematical Sciences
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A Lie connection between Hamiltonian and Lagrangian optics.
Dragt, Alex J. (1997)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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Symmetries and constants of the motion for dynamics in implicit form
G. Marmo, G. Mendella, W. M. Tulczyjew (1992)
Annales de l'I.H.P. Physique théorique
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The shadowing chain lemma for singular Hamiltonian systems involving strong forces
Marek Izydorek, Joanna Janczewska (2012)
Open Mathematics
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We consider a planar autonomous Hamiltonian system :q+∇V(q) = 0, where the potential V: ℝ2 {ζ→ ℝ has a single well of infinite depth at some point ζ and a strict global maximum 0at two distinct points a and b. Under a strong force condition around the singularity ζ we will prove a lemma on the existence and multiplicity of heteroclinic and homoclinic orbits - the shadowing chain lemma - via minimization of action integrals and using simple geometrical arguments.
Andrew Lenard: a mystery unraveled.
Praught, Jeffery, Smirnov, Roman G. (2005)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Symmetry group analysis and invariant solutions of hydrodynamic-type systems.
Sheftel, M.B. (2004)
International Journal of Mathematics and Mathematical Sciences
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