On local Hamiltonians and dissipative systems

M. Castagnino, M. Gadella and L.P. Lara

Chaos, Solitons & Fractals, 2006, vol. 30, issue 3, 542-551

Abstract: We study a type of one-dimensional dynamical systems on the corresponding two-dimensional phase space. By using arguments related to the existence of integrating factors for Pfaff equations, we show that some one-dimensional non-Hamiltonian systems like dissipative systems, admit a Hamiltonian description by sectors on the phase plane. This picture is not uniquely defined and is coordinate dependent. A simple example is exhaustively discussed. The method, is not always applicable to systems with higher dimensions.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:30:y:2006:i:3:p:542-551

DOI: 10.1016/j.chaos.2006.03.094

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