# Contact Lie systems

@inproceedings{Lucas2022ContactLS, title={Contact Lie systems}, author={Javier de Lucas and Xavier Rivas}, year={2022} }

We deﬁne and analyse the properties of contact Lie systems, namely systems of ﬁrst-order diﬀerential equations describing the integral curves of a t -dependent vector ﬁeld taking values in a ﬁnite-dimensional Lie algebra of Hamiltonian vector ﬁelds relative to a contact structure. As a particular example, we study families of conservative contact Lie systems. Liouville theorems, contact reductions, and Gromov non-squeezing theorems are developed and applied to contact Lie systems. Our results…

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