Oleg N. Kirillov

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math-ph2008★ 9 cited

Unfolding the conical zones of the dissipation-induced subcritical flutter for the rotationally symmetrical gyroscopic systems

Oleg N. Kirillov

Flutter of an elastic body of revolution spinning about its axis of symmetry is prohibited in the subcritical spinning speed range by the Krein theorem for the Hamiltonian perturba…

math-ph2008★ 21 cited

Determining role of Krein signature for 3D Arnold tongues of oscillatory dynamos

Oleg N. Kirillov, Uwe Guenther, Frank Stefani

Using a homotopic family of boundary eigenvalue problems for the mean-field $α^{2}$ -dynamo with helical turbulence parameter $α (r) = α_{0} + γ Δ α (r)$ and homotopy parameter $β \in [0, 1]$ , we…