• Corpus ID: 250407769

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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