141 citations · 252 across the 6 of their papers we have counts for
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Brouwer's problem on a heavy particle in a rotating vessel: wave propagation, ion traps, and rotor dynamics
Oleg N. Kirillov
In 1918 Brouwer considered stability of a heavy particle in a rotating vessel. This was the first demonstration of a rotating saddle trap which is a mechanical analogue for quadrup…
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…
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 -dynamo with helical turbulence parameter and homotopy parameter , we…
The spherically symmetric alpha2-dynamo and some of its spectral peculiarities
Uwe Guenther, Oleg N. Kirillov, Boris F. Samsonov +1
A brief overview is given over recent results on the spectral properties of spherically symmetric MHD alpha2-dynamos. In particular, the spectra of sphere-confined fluid or plasma…
Unfolding of eigenvalue surfaces near a diabolic point due to a complex perturbation
O. N. Kirillov, A. A. Mailybaev, A. P. Seyranian
The paper presents a new theory of unfolding of eigenvalue surfaces of real symmetric and Hermitian matrices due to an arbitrary complex perturbation near a diabolic point. General…
Coupling of eigenvalues of complex matrices at diabolic and exceptional points
A. A. Mailybaev, O. N. Kirillov, A. P. Seyranian
The paper presents a general theory of coupling of eigenvalues of complex matrices of arbitrary dimension depending on real parameters. The cases of weak and strong coupling are di…