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math.SG2021★ 1 cited
Implicit Contact Dynamics and Hamilton-Jacobi Theory
Oğul Esen, Manuel Lainz Valcázar, Manuel de León +1
In this paper we propose a Hamilton-Jacobi theory for implicit contact Hamiltonian systems in two different ways. One is the understanding of implicit contact Hamiltonian dynamics…
math.SG2021★ 2 cited
Contact Dynamics versus Legendrian and Lagrangian Submanifolds
Oğul Esen, Manuel Lainz Valcázar, Manuel de León +1
We are proposing Tulczyjew's triple for contact dynamics. The most important ingredients of the triple, namely symplectic diffeomorphisms, special symplectic manifolds, and Morse f…