Geometric phase in dissipative system

In non-Hamiltonian dissipative systems that have attracting limit cycles there are phase shifts analogous to the geometric phase of Hamiltonian quantum systems. Here the phase variable is the equal-time parametrization of a limit cycle. The phase shift is calculable when the differential equations of the variables of the systems are known. We study such a system with both numerical and analytical methods and show that the phase shift sometimes, but nor always, have a geometric meaning. The computation is obtain by using the IBM SP2 at NCHC.