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Sistemas hamiltonianos e lagrangianos en xeometría de contacto
- Autor/a
- Souto Pérez, Silvia
Geometric Mechanics is the branch of the mathematical physics that studies Classical Mechanics from the point of view of geometry. In the last years there has been a great interest in describing terms such as the dissipation and irreversibility of dynamical systems. It was found that contact geometry is a suitable theoretical framework to study this type of systems.The main purpose of this work is to study the dynamics of contact systems. We will review the main characteristics of symplectic dynamics to be able to generalize them later to the contact case. We will make a Hamiltonian and Lagrangian description of contact systems, showing how this geometry is a natural candidate to describe dissipative and non-dissipative systems.Finally, we will see how the contact dynamics obtained by Herglotz's variational principle can be described as a non-holonomic Lagrangian system depending on a dissipative variable with an adequate choice of one constraint.
Data sheet
- Edition
- 1
- Publication place
- Santiago de Compostela
- Publication Year
- 2022
- Serie
- Publicaciones del Departamento de Geometría y Topología
- Availability
- Si