Abstract
This is a review of the theoretical investigations on nonlinear phenomena and chaos in double-diffusive (thermosolutal) convection. An emphasis is put on the reality of the chaotic solution of a 5-mode truncated system. In double-diffusive convection, chaos which appears in the solution of partial differential equations is qualitatively manifested by the solution of the truncated system. This article has 6 sections. § 1 presents a short history of the studies of double-diffusive convection. §§ 2 and 3 are preliminary parts showing linear and weakly nonlinear stability analysis. The truncated system is treated in § 4, and the numerical solution of partial differential equations is shown in § 5. The last section presents two additional topics.
