Stability and strong stability of quasistationary linear Hamiltonian systems in total differentials with periodic coefficients

DOI10.1134/S0012266106020030zbMath1124.37035OpenAlexW2071240649MaRDI QIDQ2461857

Ivan V. Gaishun

Publication date: 21 November 2007

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266106020030

zbMATH Keywords

stability conditionsHamiltonian propertyspectral characteristicssmall periodic perturbationstotal integrability

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Stability theory for smooth dynamical systems (37C75) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

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The group of linear total differential Hamiltonian systems and strong stability of its stationary and periodic elements

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