On the boundaries of the parametric resonance domain

DOI10.1016/S0021-8928(00)00122-2zbMath1016.70014MaRDI QIDQ2761364

Alexei A. Mailybaev, Alexander P. Seyranian

Publication date: 18 December 2001

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

zbMATH Keywords

periodic coefficientsparametric resonancedomain of stabilitydomain of instabilitysystem of linear homogeneous differential equations

Mathematics Subject Classification ID

Stability for problems in linear vibration theory (70J25) Parametric resonances in linear vibration theory (70J40)

Related Items (3)

Parametric resonance in systems with small dissipation ⋮ Miniversal deformations of pairs of symmetric matrices under congruence ⋮ On stability domains of nonconservative systems under small parametric excitation

Cites Work

• Stability analysis for multi-parameter linear periodic systems
• On singularities of stability domain boundaries for Hamiltonian and gyroscopic systems.
• THE SOLUTION OF SOME PERTURBATION PROBLEMS FOR MATRICES AND SELFADJOINT OR NON-SELFADJOINT DIFFERENTIAL EQUATIONS I
• On Singularities of a Boundary of the Stability Domain
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