Elastic Problems and Optimal Control: Integrable Systems
Velimir Jurdjević (2013)
Zbornik Radova
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Velimir Jurdjević (2013)
Zbornik Radova
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Sheftel, M.B. (2004)
International Journal of Mathematics and Mathematical Sciences
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Xu, Taixi, Mu, Weihua, Qiao, Zhijun (2006)
International Journal of Mathematics and Mathematical Sciences
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Huang, Xuncheng, Tu, Guizhang (2006)
International Journal of Mathematics and Mathematical Sciences
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J. Golenia, O. Hentosh, A. Prykarpatsky (2007)
Open Mathematics
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The Hamiltonian representation for a hierarchy of Lax type equations on a dual space to the Lie algebra of integro-differential operators with matrix coefficients, extended by evolutions for eigenfunctions and adjoint eigenfunctions of the corresponding spectral problems, is obtained via some special Bäcklund transformation. The connection of this hierarchy with integrable by Lax two-dimensional Davey-Stewartson type systems is studied.
Rabinowitz, Paul H., Coti Zelati, Vittorio (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Božidar Jovanović (2012)
Publications de l'Institut Mathématique
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Tudor Ratiu, P. van Moerbeke (1982)
Annales de l'institut Fourier
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We discuss the motion of the three-dimensional rigid body about a fixed point under the influence of gravity, more specifically from the point of view of its symplectic structures and its constants of the motion. An obvious symmetry reduces the problem to a Hamiltonian flow on a four-dimensional submanifold of ; they are the customary Euler-Poisson equations. This symplectic manifold can also be regarded as a coadjoint orbit of the Lie algebra of the semi-direct product group with...
Gershon Wolansky (2007)
ESAIM: Control, Optimisation and Calculus of Variations
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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.
Dragović, Vladimir (1998)
Publications de l'Institut Mathématique. Nouvelle Série
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Maltsev, Andrei Ya. (2002)
International Journal of Mathematics and Mathematical Sciences
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Maltsev, Andrei Ya. (2002)
International Journal of Mathematics and Mathematical Sciences
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Božidar Jovanović (2008)
Publications de l'Institut Mathématique
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