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On stability of symplectic maps

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Publication:1166176
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DOI10.1016/0022-0396(83)90070-0zbMath0488.58013OpenAlexW1986537685MaRDI QIDQ1166176

Mark Levi

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0022-0396(83)90070-0


zbMATH Keywords

symplectic mapsrelating strong stability of a Hamiltonian matrix to the stability of its centralizer


Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Stability theory for smooth dynamical systems (37C75)


Related Items (1)

A remark on strong stability of linear Hamiltonian systems



Cites Work

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  • Adiabatic invariants of the linear Hamiltonian systems with periodic coefficients
  • On the construction of quasimodes associated with stable periodic orbits
  • Strongly stable real infinitesimally symplectic mappings
  • New aspects in the theory of stability of Hamiltonian systems
  • On the stability of linear canonical systems with periodic coefficients


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