Contact Hamiltonian Mechanics

By A. Bravetti, H. Cruz, Diego Tapias. 2016

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In this work we introduce contact Hamiltonian mechanics, an extension of symplectic Hamiltonian mechanics, and show that it is a natural candidate for a geometric description of non-dissipative and dissipative systems. For this purpose we review in detail the major features of standard symplectic Hamiltonian dynamics and show that all of them can be generalized to the contact case.

Subfields: Control and Systems Engineering, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/5317938890862b02909f2f2cbb617caf7a83cae0