A review on contact Hamiltonian and Lagrangian systems
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Contact Hamiltonian dynamics is a subject that has still a short history, but with relevant applications in many areas: thermodynamics, cosmology, control theory, and neurogeometry, among others. In recent years there has been a great effort to study this type of dynamics both in theoretical aspects and in its potential applications in geometric mechanics and mathematical physics. This paper is intended to be a review of some of the results that the authors and their collaborators have recently obtained on the subject.
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Cited by 4 Pith papers
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Scale symmetry reduction applied to singular Lagrangians via De-Donder-Weyl formalism yields equivalent frictional dynamics for particles and fields, with applications to general relativity.
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Linear Hamiltonians in generators of the real Jacobi group on the extended Siegel-Jacobi space and equations of motion attached
Presents equations of motion attached to linear Hamiltonians in generators of the real Jacobi group G^J_n(R) on the extended Siegel-Jacobi upper half space using its energy function.
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Constrained Symplectic and Contact Hamiltonian Systems: A Review
A review presents the geometry of pre-symplectic and pre-contact manifolds and develops constraint algorithms for admissible phase space in Hamiltonian systems with degeneracies.
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