TY - JOUR
T1 - Coupled Lorenz oscillators
AU - Davis, Stephen H.
AU - Roppo, Michael N.
N1 - Funding Information:
The authors gratefully acknowledge the help of Prof. U. Miiller, Kernforschungszentrum Karlsruhe, for suggestions that led to the consideration of this work. This work was supported by the Applied Mathematics Program, U.S. Army Research Office.
PY - 1987
Y1 - 1987
N2 - 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.
AB - 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.
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U2 - 10.1016/0167-2789(87)90077-7
DO - 10.1016/0167-2789(87)90077-7
M3 - Article
AN - SCOPUS:0023208834
SN - 0167-2789
VL - 24
SP - 226
EP - 242
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
IS - 1-3
ER -