On the boundaries of the parametric resonance domain

Yakubovich, 1987 Seyranian, 1999, Stability analysis for multi parameter linear periodic systems, Archive Appl. Mech., 69, 160, 10.1007/s004190050212 Vishik, 1960, The solution of some perturbation problems in the case of matrices and self-conjugate and non-self-conjugate differential equations, I. Uspekhi Mat. Nauk, 15, 3 Seyranian, 1991, Analysis of the sensitivity of eigenvalues and the development of instability, Strojnicky Casopis, 42, 193 Arnold, 1978 Mailybaev, 1998, Singularities of the boundaries of stability domains, Prikl. Mat. Mekh., 62, 984 Seyranian, 1999, Singularities of the boundaries of the stability domains of Hamiltonian and gyroscopic systems, Dokl. Ross. Akad. Nauk, 365, 756 Mailybaev, 2000, On singularities of a boundary of the stability domain, SIAM J. Matrix Anal. Appl., 21, 106, 10.1137/S0895479897326675 Galin, 1972, Real matrices which depend on the parameters, Uspekhi Mat. Nauk, 27, 241 Levantovskii, 1980, The boundary of a set of stable matrices, Uspekhi Mat. Nauk, 35, 213 Szabo, 1996, Dynamics of pipes containing pulsative flow, Proc. EUROMECH: 2nd Europ. Nonlinear Oscillation Conf., 439