A geometric technique based on Gauss' principle of minimal contraints is developed in order to handle mechanical systems with singular Lagrangian of a particular type in the presence of kinetic constraints. An application to the Hamel-Appell system and in particular to the study of its behavior at the limiting situation is presented
The kind support of the Czech Science Foundation project No. 17-26353J and of the RVO68378297 instit...
Open access version at https://arxiv.org/pdf/1904.11429.pdfIn this paper, we discuss the singular La...
summary:We study dynamics of singular Lagrangian systems described by implicit differential equation...
International audienceWe present a generalisation of the Gibbs-Appell equations which is valid for g...
We present a generalisation of the Gibbs-Appell equations which is valid for general Lagrangians. Th...
The geometry of Lagrangian systems, whose Legendre map possesses generic singularities, is studied. ...
International audienceThis paper deals with the foundations of analytical dynamics. It obtains the e...
Regular Lagrangians with holomonic constraints are treated as singular systems using the canonical m...
In this paper we prove that, despite the statement of Professors F.E. Udwadia and R.E. Kalaba, their...
Generalized non-holonomic mechanical systems are analyzed from a geometric point of view. The existe...
This paper reviews recent results on the extension of Hame’s formalism to infinite-dimensional me...
International audienceThis paper deals with mechanical systems subjected to a general class of non-i...
A geometrical formalism for nonlinear nonholonomic Lagrangian systems is developed. The solution of ...
AbstractA geometric framework for constrained dynamical systems is presented. It allows to describe ...
Textbook treatments of classical mechanics typically assume that the Lagrangian is nonsingular. That...
The kind support of the Czech Science Foundation project No. 17-26353J and of the RVO68378297 instit...
Open access version at https://arxiv.org/pdf/1904.11429.pdfIn this paper, we discuss the singular La...
summary:We study dynamics of singular Lagrangian systems described by implicit differential equation...
International audienceWe present a generalisation of the Gibbs-Appell equations which is valid for g...
We present a generalisation of the Gibbs-Appell equations which is valid for general Lagrangians. Th...
The geometry of Lagrangian systems, whose Legendre map possesses generic singularities, is studied. ...
International audienceThis paper deals with the foundations of analytical dynamics. It obtains the e...
Regular Lagrangians with holomonic constraints are treated as singular systems using the canonical m...
In this paper we prove that, despite the statement of Professors F.E. Udwadia and R.E. Kalaba, their...
Generalized non-holonomic mechanical systems are analyzed from a geometric point of view. The existe...
This paper reviews recent results on the extension of Hame’s formalism to infinite-dimensional me...
International audienceThis paper deals with mechanical systems subjected to a general class of non-i...
A geometrical formalism for nonlinear nonholonomic Lagrangian systems is developed. The solution of ...
AbstractA geometric framework for constrained dynamical systems is presented. It allows to describe ...
Textbook treatments of classical mechanics typically assume that the Lagrangian is nonsingular. That...
The kind support of the Czech Science Foundation project No. 17-26353J and of the RVO68378297 instit...
Open access version at https://arxiv.org/pdf/1904.11429.pdfIn this paper, we discuss the singular La...
summary:We study dynamics of singular Lagrangian systems described by implicit differential equation...
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