Proof of simultaneous conditional exponential stabilization and destabilization of linear Hamiltonian systems

DOI10.3103/S0027132218040095zbMath1403.34047OpenAlexW2891497195WikidataQ115488698 ScholiaQ115488698MaRDI QIDQ1626655

T. V. Salova

Publication date: 21 November 2018

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027132218040095

zbMATH Keywords

small Hamiltonian perturbations

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Stabilization of solutions to ordinary differential equations (34H15)

Cites Work

• The proof of simultaneous conditional stabilization and destabilization of linear Hamiltonian systems
• Simultaneous attainability of central exponents of four-dimensional Hamiltonian systems under infinitesimal Hamiltonian perturbations
• On the simultaneous conditional stabilizability and destabilizability of linear Hamiltonian systems
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