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Complex oscillations in a closed thermosyphon. (English) Zbl 1004.34035

Summary: The dynamics of a closed thermosyphon are considered. Using an explicit construction, obtained through an inertial manifold, exact low-dimensional models are derived. The behavior of solutions is analyzed for different ranges of the relevant parameters, and the Lorenz model is obtained for a range of parameter values. Numerical experiments are performed for three- and five-mode models.

MSC:

34C60 Qualitative investigation and simulation of ordinary differential equation models
34C45 Invariant manifolds for ordinary differential equations
34C28 Complex behavior and chaotic systems of ordinary differential equations
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