This work was intended as an attempt to pose a better definition for Lagrangian systems and their symmetries. Symmetries and infinitesimal symmetries of these sys-tems are defined and then, we proceed with the study of constants of motion in these systems and find their relations to the symmetries of the system. All these definitions are done in the cases time-independent and time-dependent Lagrangians. PACS numbers: 02.40.Yy, 45.20.Jj
This paper is devoted to the study of mechanical systems subjected to external forces in the framewo...
The work covers the development of Lagrangian formalism for investigation of systems with connection...
A new intrinsic expression for the condition of existence of second order vector fields describing t...
Most treatments of symmetries in Lagrangian mechanics are confined to the class of point transformat...
After a brief survey of the definition and the properties of $\Lambda$-symmetries in the general c...
A natural and very important development of constrained system theory is a detail study of the relat...
an intrinsic definiyion for dynamical symmetries on the velocity space is proposed when the Lagrangi...
In this work the inverse problem of the variational calculus for systems of differential equations o...
In this work the inverse problem of the variational calculus for systems of differential equations o...
A general analysis of symmetries and constraints for singular Lagrangian systems is given. It is sho...
The Lagrangian and the Generalized Linear Momentum are expressed in terms of a Constant of Motion of...
The constants of motion of a mechanical system with a finite number of degrees of freedom are relate...
In the framework of Noether's theorem, a distinction between Lagrangian and dynamical symmetries ...
The generalized Lie symmetries of almost regular Lagrangians are studied, and their impact on the ev...
summary:Dynamical properties of singular Lagrangian systems differ from those of classical Lagrangia...
This paper is devoted to the study of mechanical systems subjected to external forces in the framewo...
The work covers the development of Lagrangian formalism for investigation of systems with connection...
A new intrinsic expression for the condition of existence of second order vector fields describing t...
Most treatments of symmetries in Lagrangian mechanics are confined to the class of point transformat...
After a brief survey of the definition and the properties of $\Lambda$-symmetries in the general c...
A natural and very important development of constrained system theory is a detail study of the relat...
an intrinsic definiyion for dynamical symmetries on the velocity space is proposed when the Lagrangi...
In this work the inverse problem of the variational calculus for systems of differential equations o...
In this work the inverse problem of the variational calculus for systems of differential equations o...
A general analysis of symmetries and constraints for singular Lagrangian systems is given. It is sho...
The Lagrangian and the Generalized Linear Momentum are expressed in terms of a Constant of Motion of...
The constants of motion of a mechanical system with a finite number of degrees of freedom are relate...
In the framework of Noether's theorem, a distinction between Lagrangian and dynamical symmetries ...
The generalized Lie symmetries of almost regular Lagrangians are studied, and their impact on the ev...
summary:Dynamical properties of singular Lagrangian systems differ from those of classical Lagrangia...
This paper is devoted to the study of mechanical systems subjected to external forces in the framewo...
The work covers the development of Lagrangian formalism for investigation of systems with connection...
A new intrinsic expression for the condition of existence of second order vector fields describing t...