A model system is derived consisting of two Lorenz oscillators, linearly coupled. When the temperature differences for both are equal, coexisting stable, steady convective states exist for a range of Rayleigh numbers. These correspond to co-current and counter-current flows. When the system jumps from the former to the latter, there is flow reversal in one oscillator and a reduction in the heat transport in the system. When the temperature differences are unequal, there is an imperfect secondary bifurcation showing similar jump behavior.
ASJC Scopus subject areas
- Applied Mathematics
- Statistical and Nonlinear Physics