Methods for studying the stability of linear periodic systems depending on a small parameter

DOI10.1007/s10958-021-05540-xzbMath1484.34060OpenAlexW3199808469MaRDI QIDQ2231179

M. G. Yumagulov, L. S. Ibragimova, A. S. Belova

Publication date: 29 September 2021

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-021-05540-x

zbMATH Keywords

stabilitysmall parameterdifferential equationmonodromy matrixperiodic systemHamiltonian systemmultiplier

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Linear ordinary differential equations and systems (34A30) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Nonautonomous smooth dynamical systems (37C60)

Related Items (2)

Investigation of the problem on a parametric resonance in Lurie systems with weakly oscillating coefficients ⋮ Perturbation theory methods in problem of parametric resonance for linear periodic Hamiltonian systems

Cites Work

• A study of the boundaries of stability regions in two-parameter dynamical systems
• The parameter functionalization method in the eigenvalue problem
• Principal asymptotics in the problem on the Andronov-Hopf bifurcation and their applications
• The asymptotic formulae in the problem on constructing hyperbolicity and stability regions of dynamical systems
• Some results in Floquet theory, with application to periodic epidemic models
• Stability Regions of Nonlinear Dynamical Systems
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