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math-ph2022
Time-dependent contact mechanics
Manuel de León, Jordi Gaset, Xavier Gràcia +2
Contact geometry allows to describe some thermodynamic and dissipative systems. In this paper we introduce a new geometric structure in order to describe time-dependent contact sys…
math-ph2022
Reduction and reconstruction of multisymplectic Lie systems
Javier de Lucas, Xavier Gràcia, Xavier Rivas +2
A Lie system is a non-autonomous system of first-order ordinary differential equations describing the integral curves of a non-autonomous vector field taking values in a finite-dim…