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- W3211293960 endingPage "2704" @default.
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- W3211293960 abstract "We are proposing Tulczyjew’s triple for contact dynamics. The most important ingredients of the triple, namely symplectic diffeomorphisms, special symplectic manifolds, and Morse families, are generalized to the contact framework. These geometries permit us to determine so-called generating family (obtained by merging a special contact manifold and a Morse family) for a Legendrian submanifold. Contact Hamiltonian and Lagrangian Dynamics are recast as Legendrian submanifolds of the tangent contact manifold. In this picture, the Legendre transformation is determined to be a passage between two different generators of the same Legendrian submanifold. A variant of contact Tulczyjew’s triple is constructed for evolution contact dynamics." @default.
- W3211293960 created "2021-11-08" @default.
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- W3211293960 date "2021-10-25" @default.
- W3211293960 modified "2023-10-16" @default.
- W3211293960 title "Contact Dynamics: Legendrian and Lagrangian Submanifolds" @default.
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- W3211293960 doi "https://doi.org/10.3390/math9212704" @default.
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