O V Kirillov

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  • O V Kirillov
  • Proceedings. 2005 International Conference…
  • 2005
The effect of small dissipative and gyroscopic forces on the stability of a linear autonomous non-conservative system of general type is studied. The problem is investigated by sensitivity analysis of multiple roots of the characteristic polynomial of the system whose coefficients are expressed through the invariants of the matrices involved. For systems(More)
The paper presents a theory of unfolding of eigenvalue surfaces of real symmetric and Hermitian matrices due to an arbitrary complex perturbation near a diabolic point. General asymptotic formulae describing deformations of a conical surface for different kinds of perturbing matrices are derived. As a physical application, singularities of the surfaces of(More)
The paper presents a general theory of coupling of eigenvalues of complex matrices of arbitrary dimension smoothly depending on real parameters. The cases of weak and strong coupling are distinguished and their geometric interpretation in two and three-dimensional spaces is given. General asymptotic formulae for eigenvalue surfaces near diabolic and(More)