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math-ph2025
Symplectic approach to global stability
Verónica Errasti Díez, Jordi Gaset Rifà, Manuel Lainz
We present a new approach to the problem of proving global stability, based on symplectic geometry and with a focus on systems with several conserved quantities. We also provide a…
math-ph2020
Contact geometry for simple thermodynamical systems with friction
Alexandre Anahory Simoes, Manuel de León, Manuel Lainz Valcázar +1
Using contact geometry we give a new characterization of a simple but important class of thermodynamical systems which naturally satisfy the first law of thermodynamics (total ener…