2021
DOI: 10.1007/s00332-021-09708-2
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On the Geometry of Discrete Contact Mechanics

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Cited by 13 publications
(15 citation statements)
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“…Clearly, given that the maps for q and s in (40) are all independent of p, any splitting integrator will satisfy this property too. However, it is instructive to recover this result by using the modified Hamiltonian, since in the proof we will find out an important property of H mod , i.e., that it is linear in p, as it is the original Hamiltonian (20). This is the content of the next result.…”
Section: Analytical Resultsmentioning
confidence: 85%
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“…Clearly, given that the maps for q and s in (40) are all independent of p, any splitting integrator will satisfy this property too. However, it is instructive to recover this result by using the modified Hamiltonian, since in the proof we will find out an important property of H mod , i.e., that it is linear in p, as it is the original Hamiltonian (20). This is the content of the next result.…”
Section: Analytical Resultsmentioning
confidence: 85%
“…Therefore, to derive an associated Lagrangian structure one would have to use the algorithm for singular contact Hamiltonian systems developed in [37]. From the numerical perspective, this could open the door to the use of contact variational integrators [16,20]. Moreover, other (contact) Hamiltonisations of Liénard and spiking systems might be possible, perhaps using non-standard contact structures, and therefore future work should also focus on alternative constructions.…”
Section: Discussionmentioning
confidence: 99%
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