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Abstract This paper presents a unified method upon Hamiltonian description of one dimensional second order dissipative systems. In this method, the first order partial differential equation is constructed by the… Click to show full abstract
Abstract This paper presents a unified method upon Hamiltonian description of one dimensional second order dissipative systems. In this method, the first order partial differential equation is constructed by the first integral. As long as the corresponding characteristic equation has an explicit solution, the dissipative system has an explicit Hamiltonian function. The Hamiltonians for three types of representative dissipative systems have been established and some interesting examples are given from the perspective of Hamiltonian dynamics.
Journal Title: Journal of Geometry and Physics
Year Published: 2021
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