Geodesic
The proof of simultaneous conditional stabilization and destabilization of linear Hamiltonian systems
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2017), pp. 8-15 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is proved that each linear Hamiltonian system is simultaneously conditionally (with respect to a subspace of half dimension) stabilizable and destabilizable by infinitesimal Hamiltonian perturbation. 
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T. V. Salova. The proof of simultaneous conditional stabilization and destabilization of linear Hamiltonian systems. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2017), pp. 8-15. http://geodesic.mathdoc.fr/item/VMUMM_2017_6_a1/

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