Separability of the characteristic polynomial
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Several examples of nonholonomic mechanical systems
Martin Swaczyna (2011)
Communications in Mathematics
A unified geometric approach to nonholonomic constrained mechanical systems is applied to several concrete problems from the classical mechanics of particles and rigid bodies. In every of these examples the given constraint conditions are analysed, a corresponding constraint submanifold in the phase space is considered, the corresponding constrained mechanical system is modelled on the constraint submanifold, the reduced equations of motion of this system (i.e. equations of motion defined on the...
Singularités, sources de quelques métriques stationnaires
Bernard Léauté (1971)
Annales de l'I.H.P. Physique théorique
Singularities of momentum maps of integrable Hamiltonian systems with two degrees of freedom.
Zapiski naucnych seminarov POMI
Some concepts of regularity for parametric multiple-integral problems in the calculus of variations
M. Crampin, D. J. Saunders (2009)
Czechoslovak Mathematical Journal
We show that asserting the regularity (in the sense of Rund) of a first-order parametric multiple-integral variational problem is equivalent to asserting that the differential of the projection of its Hilbert-Carathéodory form is multisymplectic, and is also equivalent to asserting that Dedecker extremals of the latter -form are holonomic.
Sui moti polinomiali
Franco De Franchis (1970)
Rendiconti del Seminario Matematico della Università di Padova
Sul teorema di Liouville per deformazioni conformi
L. Stazi (1981)
Rendiconti del Seminario Matematico della Università di Padova
Sur la description intrinsèque des grandeurs dimensionnelles
J.-C. Houard (1981)
Annales de l'I.H.P. Physique théorique
Sur la dynamique des systèmes mécaniques
Pierre Aimé (1996)
Annales de l'I.H.P. Physique théorique
Symmetries and currents in nonholonomic mechanics
Michal Čech, Jana Musilová (2014)
Communications in Mathematics
In this paper we derive general equations for constraint Noethertype symmetries of a first order non-holonomic mechanical system and the corresponding currents, i.e. functions constant along trajectories of the nonholonomic system. The approach is based on a consistent and effective geometrical theory of nonholonomic constrained systems on fibred manifolds and their jet prolongations, first presented and developed by Olga Rossi. As a representative example of application of the geometrical theory...
Symmetries of second-order potential differential systems.
Soh, Celestin Wafo, Udrişte, Constantin (2005)
Balkan Journal of Geometry and its Applications (BJGA)
Symplectic topology of integrable hamiltonian systems, I : Arnold-Liouville with singularities
Nguyen Tien Zung (1996)
Compositio Mathematica
Systèmes hamiltoniens k-symplectiques.
Azzouz Awane, Mohamed Belam, Sadik Fikri, Mohammed Lahmouz, Bouchra Naanani (2002)
Revista Matemática Complutense
We study some properties of the k-symplectic Hamiltonian systems in analogy with the well-known classical Hamiltonian systems. The integrability of k-symplectic Hamiltonian systems and the relationships with the Nambu's statistical mechanics are given.
Currently displaying 1 – 13 of 13
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