Coupled Lorenz oscillators

Stephen H. Davis, Michael Roppo

Research output: Contribution to journalArticle

17 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)226-242
Number of pages17
JournalPhysica D: Nonlinear Phenomena
Issue number1-3
StatePublished - 1987
Externally publishedYes


ASJC Scopus subject areas

  • Applied Mathematics
  • Statistical and Nonlinear Physics

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