Metamorphoses of characteristic curves in circulatory systems

O. N. Kirillov, A. P. Seyranian

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)


Explicit formulae are developed for typical metamorphoses of characteristic curves in circulatory systems which depend on a vector of parameters. The formulae obtained utilize information on the system only at the point of confluence of the curves and enable one to analyse both qualitatively and quantitatively the behaviour of the oscillation frequencies in the neighbourhood of that point. Quadratic approximations are found for the domains of flutter and divergence, and the relation between the convexity properties of these domains and the type of metamorphosis of the characteristic curves is established.

Original languageEnglish
Pages (from-to)371-385
Number of pages15
JournalJournal of Applied Mathematics and Mechanics
Issue number3
Publication statusPublished - 2002


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