“On local hamiltonian in dissipative systems”

MARIO CASTAGNINO; MANUEL GADELLA; LUIS LARA

CHAOS, SOLITONS AND FRACTALS

Elsevier

Año: 2006 vol. 30 p. 542 - 551

0960-0779

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.