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math-ph2026
Contact Tulczyjew Geometry for Continuous and Discrete Dissipative Dynamics on Skew Algebroids
Leonardo Colombo, Manuel de León
We develop a contact Tulczyjew formalism for dissipative dynamics on skew algebroids. Starting from the Tulczyjew morphism of an skew algebroid, we identify its contact extension i…
math-ph2024
Symmetry reduction and reconstruction in contact geometry and Lagrange-Poincaré-Herglotz equations
Alexandre Anahory Simoes, Leonardo Colombo, Manuel de Leon +2
In this paper, we investigate the reduction process of a contact Lagrangian system whose Lagrangian is invariant under a group of symmetries. We give explicit coordinate expression…