Improving the lowest-order analysis of a nonlinear convective oscillator by applying a Mandelstam condition
(English)Manuscript (preprint) (Other academic)
A lowest-order approximation of the relaxation oscillations of a nonlinear thermally forced system has been extended by prescribing a Mandelstam condition, in the present case by assuming that the total heat content of the system is conserved during rapid phase-point motion. Examples based on incorporating these improvements are shown, both of the limit-cycle representation in the phase-plane and of the calculated oscillation periods.
Asymptotic analysis, thermal relaxation
Oceanography, Hydrology, Water Resources
Research subject Oceanography
IdentifiersURN: urn:nbn:se:su:diva-37761OAI: oai:DiVA.org:su-37761DiVA: diva2:304977