On the topology of the space of reachable antisymmetric linear Hamiltonian systems

DOI10.5802/aif.1422zbMath0811.70012OpenAlexW2333570662MaRDI QIDQ1341643

Nguyen Huynh Phan

Publication date: 8 January 1995

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1994__44_3_967_0

zbMATH Keywords

homology groupGrassmann manifold

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Singular homology and cohomology theory (55N10)

Cites Work

• Foliations, the ergodic theorem and Brownian motion
• The topology of spaces of rational functions
• Some spaces of holomorphic maps to complex Grassmann manifolds
• Linear multivariable control. A geometric approach
• On the zeta functions of Shimura varieties and periods of Hilbert modular forms
• The stable homotopy of the classical groups
• Tangents to an analytic variety
• La classe d'homologie fondamentale d'un espace analytique
• Morse Theory. (AM-51)
• Characteristic Classes. (AM-76)
• Some geometric questions in the theory of linear systems
• Differential Topology
• Moduli and canonical forms for linear dynamical systems II: The topological case
• Invariant Description of Linear, Time-Invariant Controllable Systems
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