Zobrazeno 1 - 10
of 233
pro vyhledávání: '"Sarlet, W."'
Autor:
Sarlet, W., Mestdag, T.
Publikováno v:
Journal of Geometric Mechanics 14 (2021), 91-104
The so-called method of phase synchronization has been advocated in a number of papers as a way of decoupling a system of linear second-order differential equations by a linear transformation of coordinates and velocities. This is a rather unusual ap
Externí odkaz:
http://arxiv.org/abs/2107.14192
Extending a previous paper, we present a generalization in dimension 3 of the traditional Szebehely-type inverse problem. In that traditional setting, the data are curves determined as the intersection of two families of surfaces, and the problem is
Externí odkaz:
http://arxiv.org/abs/1612.04638
Autor:
Waeyaert, G., Sarlet, W.
Publikováno v:
Journal of Geometry and Physics (2014) 122-133
Starting from a bundle E over R, the dual of the first jet bundle, which is a co-dimension 1 sub-bundle of the cotangent bundle of E, is the appropriate manifold for the geometric description of time-dependent Hamiltonian systems. Based on previous w
Externí odkaz:
http://arxiv.org/abs/1407.4968
Publikováno v:
Reports on Mathematical Physics 72 (2013), 65-84
The so-called inverse problem of dynamics is about constructing a potential for a given family of curves. We observe that there is a more general way of posing the problem by making use of ideas of another inverse problem, namely the inverse problem
Externí odkaz:
http://arxiv.org/abs/1305.3175
Publikováno v:
J. Phys. A: Math. Theor. 45 (2012) 085208
We extend the results obtained in a previous paper about a class of Lagrangian systems which admit alternative kinetic energy metrics to second-order mechanical systems with explicit time-dependence. The main results are that a time-dependent alterna
Externí odkaz:
http://arxiv.org/abs/1112.0162
Autor:
Sarlet, W., Waeyaert, G.
Publikováno v:
J. Phys. A: Math. Theor. 45 (2012) 085206
This is a continuation of the work initiated in a previous paper on so-called driven cofactor systems, which are partially decoupling second-order differential equations of a special kind. The main purpose in that paper was to obtain an intrinsic, ge
Externí odkaz:
http://arxiv.org/abs/1109.4274
Publikováno v:
Diff Geom Appl 29 (2011) 55 - 72
We discuss two generalizations of the inverse problem of the calculus of variations, one in which a given mechanical system can be brought into the form of Lagrangian equations with non-conservative forces of a generalized Rayleigh dissipation type,
Externí odkaz:
http://arxiv.org/abs/1004.0674
Publikováno v:
Z. Angew. Math. Mech. 90 (2010), 502-508
In two recent papers necessary and sufficient conditions for a given system of second-order ordinary differential equations to be of Lagrangian form with additional dissipative forces were derived. We point out that these conditions are not independe
Externí odkaz:
http://arxiv.org/abs/1003.1840
Autor:
Sarlet, W., Vermeire, F.
Equipping the tangent bundle TQ of a manifold with a symplectic form coming from a regular Lagrangian L, we explore how to obtain a Poisson-Nijenhuis structure from a given type (1,1) tensor field J on Q. It is argued that the complete lift of J is n
Externí odkaz:
http://arxiv.org/abs/math/0402076
Publikováno v:
J. Phys. A: Math. Gen. 35 (2002), 9843--9856
We develop an alternative view on the concept of connections over a vector bundle map, which consists of a horizontal lift procedure to a prolonged bundle. We further focus on prolongations to an affine bundle and introduce the concept of affineness
Externí odkaz:
http://arxiv.org/abs/math/0207189